%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO886^9 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:13:41 AM UTC 2026 % Result : Theorem 150.83s 151.13s % Output : Proof 150.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO886^9 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n003.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 01:08:29 EDT 2026 % 0.16/0.36 % CPUTime : % 0.29/0.52 %----Proving TH0 % 150.83/151.13 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.83/151.13 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 150.83/151.13 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 150.83/151.13 --- Run --ho-elim --full-saturate-quant at 18s... % 150.83/151.13 % SZS status Theorem % 150.83/151.13 % SZS output start Proof % 150.83/151.13 ( % 150.83/151.13 (declare-sort $$unsorted 0) % 150.83/151.13 (declare-sort tptp.individuals 0) % 150.83/151.13 (declare-const tptp.reli (-> $$unsorted $$unsorted Bool)) % 150.83/151.13 (declare-const tptp.relr (-> $$unsorted $$unsorted Bool)) % 150.83/151.13 (declare-const tptp.cs4_false (-> $$unsorted Bool)) % 150.83/151.13 (declare-const tptp.cs4_true (-> $$unsorted Bool)) % 150.83/151.13 (define tptp.mfalse () (lambda (@list (@var "X" $$unsorted)) false)) % 150.83/151.13 (define tptp.mtrue () (lambda (@list (@var "X" $$unsorted)) true)) % 150.83/151.13 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 150.83/151.13 (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 150.83/151.13 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 150.83/151.13 (define tptp.mimpl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 150.83/151.13 (define tptp.miff () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "U" (-> $$unsorted Bool)))) (let ((_let_3 (@var "V" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimpl _let_2) _let_3)) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 150.83/151.13 (define tptp.mbox () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 150.83/151.13 (define tptp.mdia () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 150.83/151.13 (define tptp.mall () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.83/151.13 (define tptp.mexists () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.83/151.13 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 150.83/151.13 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 150.83/151.13 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 150.83/151.13 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 150.83/151.13 (define tptp.cs4_atom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.reli) _let_2) _let_1))))) % 150.83/151.13 (define tptp.cs4_and () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mand _let_3) _let_2) _let_1)))))) % 150.83/151.13 (define tptp.cs4_or () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor _let_3) _let_2) _let_1)))))) % 150.83/151.13 (define tptp.cs4_impl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.reli) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 150.83/151.13 (define tptp.cs4_all () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "A" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.reli) (_ tptp.mall _let_2)) _let_1))))) % 150.83/151.13 (define tptp.cs4_box () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.reli) (_ (_ tptp.mbox tptp.relr) _let_2)) _let_1))))) % 150.83/151.13 (define tptp.cs4_valid () (let ((_let_1 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_1) (_ tptp.mvalid _let_1)))) % 150.83/151.13 (define @t1 () (@var "A" (-> $$unsorted Bool))) % 150.83/151.13 (define @t2 () (_ tptp.mbox tptp.reli)) % 150.83/151.13 (define @t3 () (_ @t2 @t1)) % 150.83/151.13 (define @t4 () (_ tptp.mimpl @t3)) % 150.83/151.13 (define @t5 () (@list @t1)) % 150.83/151.13 (define @t6 () (forall @t5 (_ tptp.mvalid (_ @t4 @t1)))) % 150.83/151.13 (define @t7 () (_ tptp.mbox tptp.relr)) % 150.83/151.13 (define @t8 () (_ @t7 @t1)) % 150.83/151.13 (define @t9 () (_ tptp.mimpl @t8)) % 150.83/151.13 (define @t10 () (forall @t5 (_ tptp.mvalid (_ @t4 (_ @t2 @t3))))) % 150.83/151.13 (define @t11 () (_ @t2 @t8)) % 150.83/151.13 (define @t12 () (@var "__flatten_var_0" $$unsorted)) % 150.83/151.13 (define @t13 () (@var "I" tptp.individuals)) % 150.83/151.13 (define @t14 () (@var "A" (-> tptp.individuals $$unsorted Bool))) % 150.83/151.13 (define @t15 () (_ @t14 @t13)) % 150.83/151.13 (define @t16 () (_ tptp.cs4_atom @t15)) % 150.83/151.13 (define @t17 () (@list @t13 @t12)) % 150.83/151.13 (define @t18 () (lambda @t17 (_ @t16 @t12))) % 150.83/151.13 (define @t19 () (lambda @t17 (_ (_ tptp.cs4_box @t16) @t12))) % 150.83/151.13 (define @t20 () (@list @t14)) % 150.83/151.13 (define @t21 () (forall @t20 (_ tptp.cs4_valid (_ (_ tptp.cs4_impl (_ tptp.cs4_all @t19)) (_ tptp.cs4_box (_ tptp.cs4_all @t18)))))) % 150.83/151.13 (define @t22 () (not @t21)) % 150.83/151.13 (define @t23 () (@var "X" $$unsorted)) % 150.83/151.13 (define @t24 () (@list @t23)) % 150.83/151.13 (define @t25 () (lambda @t24 false)) % 150.83/151.13 (define @t26 () (lambda @t24 true)) % 150.83/151.13 (define @t27 () (@var "U" $$unsorted)) % 150.83/151.13 (define @t28 () (@var "X" (-> $$unsorted Bool))) % 150.83/151.13 (define @t29 () (_ @t28 @t27)) % 150.83/151.13 (define @t30 () (lambda (@list @t28 @t27) (not @t29))) % 150.83/151.13 (define @t31 () (@var "Y" (-> $$unsorted Bool))) % 150.83/151.13 (define @t32 () (_ @t31 @t27)) % 150.83/151.13 (define @t33 () (@list @t28 @t31 @t27)) % 150.83/151.13 (define @t34 () (lambda @t33 (or @t29 @t32))) % 150.83/151.13 (define @t35 () (lambda @t33 (and @t29 @t32))) % 150.83/151.13 (define @t36 () (@var "V" (-> $$unsorted Bool))) % 150.83/151.13 (define @t37 () (@var "U" (-> $$unsorted Bool))) % 150.83/151.13 (define @t38 () (@list @t37 @t36 @t12)) % 150.83/151.13 (define @t39 () (lambda @t38 (_ (_ (_ tptp.mor (_ tptp.mnot @t37)) @t36) @t12))) % 150.83/151.13 (define @t40 () (lambda @t38 (_ (_ (_ tptp.mand (_ (_ tptp.mimpl @t37) @t36)) (_ (_ tptp.mimpl @t36) @t37)) @t12))) % 150.83/151.13 (define @t41 () (@var "Y" $$unsorted)) % 150.83/151.13 (define @t42 () (@var "P" (-> $$unsorted Bool))) % 150.83/151.13 (define @t43 () (_ @t42 @t41)) % 150.83/151.13 (define @t44 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 150.83/151.13 (define @t45 () (_ (_ @t44 @t23) @t41)) % 150.83/151.13 (define @t46 () (@list @t41)) % 150.83/151.13 (define @t47 () (forall @t46 (=> @t45 @t43))) % 150.83/151.13 (define @t48 () (@list @t44 @t42 @t23)) % 150.83/151.13 (define @t49 () (lambda @t48 @t47)) % 150.83/151.13 (define @t50 () (lambda @t48 (exists @t46 (and @t45 @t43)))) % 150.83/151.13 (define @t51 () (@var "W" $$unsorted)) % 150.83/151.13 (define @t52 () (@var "X" tptp.individuals)) % 150.83/151.13 (define @t53 () (@var "P" (-> tptp.individuals $$unsorted Bool))) % 150.83/151.13 (define @t54 () (_ (_ @t53 @t52) @t51)) % 150.83/151.13 (define @t55 () (@list @t52)) % 150.83/151.13 (define @t56 () (forall @t55 @t54)) % 150.83/151.13 (define @t57 () (@list @t53 @t51)) % 150.83/151.13 (define @t58 () (lambda @t57 @t56)) % 150.83/151.13 (define @t59 () (lambda @t57 (exists @t55 @t54))) % 150.83/151.13 (define @t60 () (_ @t42 @t51)) % 150.83/151.13 (define @t61 () (@list @t51)) % 150.83/151.13 (define @t62 () (forall @t61 @t60)) % 150.83/151.13 (define @t63 () (@list @t42)) % 150.83/151.13 (define @t64 () (lambda @t63 @t62)) % 150.83/151.13 (define @t65 () (lambda @t63 (exists @t61 @t60))) % 150.83/151.13 (define @t66 () (not @t60)) % 150.83/151.13 (define @t67 () (lambda @t63 (exists @t61 @t66))) % 150.83/151.13 (define @t68 () (lambda @t63 (forall @t61 @t66))) % 150.83/151.13 (define @t69 () (@list @t42 @t12)) % 150.83/151.13 (define @t70 () (lambda @t69 (_ (_ @t2 @t42) @t12))) % 150.83/151.13 (define @t71 () (@var "B" (-> $$unsorted Bool))) % 150.83/151.13 (define @t72 () (@list @t1 @t71 @t12)) % 150.83/151.13 (define @t73 () (lambda @t72 (_ (_ (_ tptp.mand @t1) @t71) @t12))) % 150.83/151.13 (define @t74 () (lambda @t72 (_ (_ (_ tptp.mor @t1) @t71) @t12))) % 150.83/151.13 (define @t75 () (lambda @t72 (_ (_ @t2 (_ (_ tptp.mimpl @t1) @t71)) @t12))) % 150.83/151.13 (define @t76 () (@list @t14 @t12)) % 150.83/151.13 (define @t77 () (lambda @t76 (_ (_ @t2 (_ tptp.mall @t14)) @t12))) % 150.83/151.13 (define @t78 () (@list @t1 @t12)) % 150.83/151.13 (define @t79 () (lambda @t78 (_ @t11 @t12))) % 150.83/151.13 (define @t80 () (lambda @t5 (_ tptp.mvalid @t1))) % 150.83/151.13 (define @t81 () (@var "BOUND_VARIABLE_8604" $$unsorted)) % 150.83/151.13 (define @t82 () (@var "BOUND_VARIABLE_8602" tptp.individuals)) % 150.83/151.13 (define @t83 () (@var "BOUND_VARIABLE_8733" (@ho-elim-sort (-> tptp.individuals $$unsorted Bool)))) % 150.83/151.13 (define @t84 () (@const 0 (-> (@ho-elim-sort (-> tptp.individuals $$unsorted Bool)) tptp.individuals (@ho-elim-sort (-> $$unsorted Bool))))) % 150.83/151.13 (define @t85 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.83/151.13 (define @t86 () (@var "BOUND_VARIABLE_8600" $$unsorted)) % 150.83/151.13 (define @t87 () (@const 2 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.83/151.13 (define @t88 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 150.83/151.13 (define @t89 () (@var "BOUND_VARIABLE_8598" $$unsorted)) % 150.83/151.13 (define @t90 () (@var "BOUND_VARIABLE_8596" $$unsorted)) % 150.83/151.13 (define @t91 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.83/151.13 (define @t92 () (_ @t88 @t87 @t41)) % 150.83/151.13 (define @t93 () (@var "BOUND_VARIABLE_8458" $$unsorted)) % 150.83/151.13 (define @t94 () (@var "BOUND_VARIABLE_7882" tptp.individuals)) % 150.83/151.13 (define @t95 () (@var "BOUND_VARIABLE_8456" $$unsorted)) % 150.83/151.13 (define @t96 () (not (_ @t85 (_ @t88 @t87 @t95) @t93))) % 150.83/151.13 (define @t97 () (@var "BOUND_VARIABLE_8454" $$unsorted)) % 150.83/151.13 (define @t98 () (not (_ @t85 (_ @t88 @t91 @t97) @t95))) % 150.83/151.13 (define @t99 () (@var "BOUND_VARIABLE_8480" $$unsorted)) % 150.83/151.13 (define @t100 () (not (_ @t85 (_ @t88 @t87 @t99) @t97))) % 150.83/151.13 (define @t101 () (@list @t99 @t94 @t97 @t95 @t93)) % 150.83/151.13 (define @t102 () (_ @t88 @t87 @t51)) % 150.83/151.13 (define @t103 () (not (_ @t85 @t102 @t41))) % 150.83/151.13 (define @t104 () (forall (@list @t83 @t51 @t41 @t90 @t89 @t86 @t82 @t81) (or @t103 (not (forall @t101 (or (not (_ @t85 @t92 @t99)) @t100 @t98 @t96 (_ @t85 (_ @t84 @t83 @t94) @t93)))) (not (_ @t85 @t92 @t90)) (not (_ @t85 (_ @t88 @t91 @t90) @t89)) (not (_ @t85 (_ @t88 @t87 @t89) @t86)) (not (_ @t85 (_ @t88 @t87 @t86) @t81)) (_ @t85 (_ @t84 @t83 @t82) @t81)))) % 150.83/151.13 (define @t105 () (_ @t14 @t82 @t81)) % 150.83/151.13 (define @t106 () (not (tptp.reli @t86 @t81))) % 150.83/151.13 (define @t107 () (not (tptp.reli @t89 @t86))) % 150.83/151.13 (define @t108 () (not (tptp.relr @t90 @t89))) % 150.83/151.13 (define @t109 () (not (tptp.reli @t41 @t90))) % 150.83/151.13 (define @t110 () (_ @t14 @t94 @t93)) % 150.83/151.13 (define @t111 () (not (tptp.reli @t95 @t93))) % 150.83/151.13 (define @t112 () (not (tptp.relr @t97 @t95))) % 150.83/151.13 (define @t113 () (not (tptp.reli @t99 @t97))) % 150.83/151.13 (define @t114 () (forall @t101 (or (not (tptp.reli @t41 @t99)) @t113 @t112 @t111 @t110))) % 150.83/151.13 (define @t115 () (not @t114)) % 150.83/151.13 (define @t116 () (not (tptp.reli @t51 @t41))) % 150.83/151.13 (define @t117 () (or @t116 @t115 @t109 @t108 @t107 @t106 @t105)) % 150.83/151.13 (define @t118 () (forall (@list @t14 @t51 @t41 @t90 @t89 @t86 @t82 @t81) @t117)) % 150.83/151.13 (define @t119 () (forall (@list @t51 @t41 @t90 @t89 @t86 @t82 @t81) @t117)) % 150.83/151.13 (define @t120 () (@list @t41 @t90 @t89 @t86 @t82 @t81)) % 150.83/151.13 (define @t121 () (forall @t120 @t117)) % 150.83/151.13 (define @t122 () (not (tptp.reli @t12 @t41))) % 150.83/151.13 (define @t123 () (or @t122 @t115 @t109 @t108 @t107 @t106 @t105)) % 150.83/151.13 (define @t124 () (@list @t12)) % 150.83/151.13 (define @t125 () (lambda @t124 (forall @t120 @t123))) % 150.83/151.13 (define @t126 () (_ @t125 @t51)) % 150.83/151.13 (define @t127 () (forall @t61 @t126)) % 150.83/151.13 (define @t128 () (_ @t1 @t51)) % 150.83/151.13 (define @t129 () (forall @t61 @t128)) % 150.83/151.13 (define @t130 () (lambda @t5 @t129)) % 150.83/151.13 (define @t131 () (or @t109 @t108 @t107 @t106 @t105)) % 150.83/151.13 (define @t132 () (or @t122 @t115 @t131)) % 150.83/151.13 (define @t133 () (forall @t120 @t132)) % 150.83/151.13 (define @t134 () (@list @t90 @t89 @t86 @t82 @t81)) % 150.83/151.13 (define @t135 () (forall @t134 @t132)) % 150.83/151.13 (define @t136 () (forall @t134 @t131)) % 150.83/151.13 (define @t137 () (@var "BOUND_VARIABLE_8560" $$unsorted)) % 150.83/151.13 (define @t138 () (@var "BOUND_VARIABLE_8558" tptp.individuals)) % 150.83/151.13 (define @t139 () (@var "BOUND_VARIABLE_8556" $$unsorted)) % 150.83/151.13 (define @t140 () (@var "BOUND_VARIABLE_7942" $$unsorted)) % 150.83/151.13 (define @t141 () (@var "BOUND_VARIABLE_8579" $$unsorted)) % 150.83/151.13 (define @t142 () (or @t122 @t115 @t136)) % 150.83/151.13 (define @t143 () (_ @t14 @t138 @t137)) % 150.83/151.13 (define @t144 () (not (tptp.reli @t139 @t137))) % 150.83/151.13 (define @t145 () (not (tptp.reli @t140 @t139))) % 150.83/151.13 (define @t146 () (not (tptp.relr @t141 @t140))) % 150.83/151.13 (define @t147 () (@list @t141 @t140 @t139 @t138 @t137)) % 150.83/151.13 (define @t148 () (forall @t147 (or (not (tptp.reli @t41 @t141)) @t146 @t145 @t144 @t143))) % 150.83/151.13 (define @t149 () (not (tptp.relr @t41 @t140))) % 150.83/151.13 (define @t150 () (or @t122 @t149 @t145 @t144 @t143)) % 150.83/151.13 (define @t151 () (@list @t41 @t140 @t139 @t138 @t137)) % 150.83/151.13 (define @t152 () (forall @t151 @t150)) % 150.83/151.13 (define @t153 () (@list @t41)) % 150.83/151.13 (define @t154 () (lambda @t124 @t152)) % 150.83/151.13 (define @t155 () (or @t122 @t115 (_ @t154 @t41))) % 150.83/151.13 (define @t156 () (forall @t46 @t155)) % 150.83/151.13 (define @t157 () (lambda @t124 @t156)) % 150.83/151.13 (define @t158 () (_ @t71 @t41)) % 150.83/151.13 (define @t159 () (@list @t71 @t12)) % 150.83/151.13 (define @t160 () (or @t145 @t144 @t143)) % 150.83/151.13 (define @t161 () (or @t122 @t149 @t160)) % 150.83/151.13 (define @t162 () (forall @t151 @t161)) % 150.83/151.13 (define @t163 () (@list @t139 @t138 @t137)) % 150.83/151.13 (define @t164 () (forall @t163 @t161)) % 150.83/151.13 (define @t165 () (@list @t41 @t140)) % 150.83/151.13 (define @t166 () (forall @t163 @t160)) % 150.83/151.13 (define @t167 () (@var "BOUND_VARIABLE_8524" $$unsorted)) % 150.83/151.13 (define @t168 () (@var "BOUND_VARIABLE_8545" $$unsorted)) % 150.83/151.13 (define @t169 () (or @t122 @t149 @t166)) % 150.83/151.13 (define @t170 () (_ @t14 @t94 @t167)) % 150.83/151.13 (define @t171 () (not (tptp.reli @t41 @t167))) % 150.83/151.13 (define @t172 () (not (tptp.reli @t140 @t41))) % 150.83/151.13 (define @t173 () (@list @t41 @t94 @t167)) % 150.83/151.13 (define @t174 () (forall @t173 (or @t172 @t171 @t170))) % 150.83/151.13 (define @t175 () (or @t122 @t149 @t174)) % 150.83/151.13 (define @t176 () (or @t122 @t171 @t170)) % 150.83/151.13 (define @t177 () (lambda @t124 (forall @t173 @t176))) % 150.83/151.13 (define @t178 () (_ @t177 @t140)) % 150.83/151.13 (define @t179 () (or @t122 @t149 @t178)) % 150.83/151.13 (define @t180 () (forall @t165 @t179)) % 150.83/151.13 (define @t181 () (lambda @t124 @t180)) % 150.83/151.13 (define @t182 () (_ @t1 @t140)) % 150.83/151.13 (define @t183 () (forall @t165 (or @t122 @t149 @t182))) % 150.83/151.13 (define @t184 () (lambda @t78 @t183)) % 150.83/151.13 (define @t185 () (or @t171 @t170)) % 150.83/151.13 (define @t186 () (or @t122 @t185)) % 150.83/151.13 (define @t187 () (forall @t173 @t186)) % 150.83/151.13 (define @t188 () (@list @t167)) % 150.83/151.13 (define @t189 () (forall @t188 @t186)) % 150.83/151.13 (define @t190 () (@list @t41 @t94)) % 150.83/151.13 (define @t191 () (forall @t188 @t185)) % 150.83/151.13 (define @t192 () (@var "BOUND_VARIABLE_8507" $$unsorted)) % 150.83/151.13 (define @t193 () (@list @t192)) % 150.83/151.13 (define @t194 () (or @t122 @t191)) % 150.83/151.13 (define @t195 () (@list @t192)) % 150.83/151.13 (define @t196 () (forall @t195 (or (not (tptp.reli @t41 @t192)) (_ @t14 @t94 @t192)))) % 150.83/151.13 (define @t197 () (_ @t14 @t13 @t41)) % 150.83/151.13 (define @t198 () (forall @t46 (or @t122 @t197))) % 150.83/151.13 (define @t199 () (lambda @t17 @t198)) % 150.83/151.13 (define @t200 () (or @t122 (_ @t199 @t94 @t41))) % 150.83/151.13 (define @t201 () (forall @t190 @t200)) % 150.83/151.13 (define @t202 () (lambda @t124 @t201)) % 150.83/151.13 (define @t203 () (_ @t14 @t94 @t41)) % 150.83/151.13 (define @t204 () (forall @t190 (or @t122 @t203))) % 150.83/151.13 (define @t205 () (lambda @t76 @t204)) % 150.83/151.13 (define @t206 () (lambda @t124 @t198)) % 150.83/151.13 (define @t207 () (_ @t15 @t41)) % 150.83/151.13 (define @t208 () (or @t122 @t207)) % 150.83/151.13 (define @t209 () (_ @t15 @t41)) % 150.83/151.13 (define @t210 () (or @t122 @t209)) % 150.83/151.13 (define @t211 () (forall @t46 @t210)) % 150.83/151.13 (define @t212 () (lambda @t124 @t211)) % 150.83/151.13 (define @t213 () (_ @t42 @t41)) % 150.83/151.13 (define @t214 () (forall @t46 (or @t122 @t213))) % 150.83/151.13 (define @t215 () (_ (lambda @t69 @t214) @t15)) % 150.83/151.13 (define @t216 () (lambda @t17 (_ @t215 @t12))) % 150.83/151.13 (define @t217 () (not (tptp.reli @t41 @t97))) % 150.83/151.13 (define @t218 () (or @t122 @t217 @t112 @t111 @t110)) % 150.83/151.13 (define @t219 () (@list @t41 @t94 @t97 @t95 @t93)) % 150.83/151.13 (define @t220 () (forall @t219 @t218)) % 150.83/151.13 (define @t221 () (lambda @t124 @t220)) % 150.83/151.13 (define @t222 () (not (_ @t221 @t41))) % 150.83/151.13 (define @t223 () (or @t122 @t222 @t158)) % 150.83/151.13 (define @t224 () (forall @t46 @t223)) % 150.83/151.13 (define @t225 () (lambda @t159 @t224)) % 150.83/151.13 (define @t226 () (_ @t1 @t41)) % 150.83/151.13 (define @t227 () (not @t226)) % 150.83/151.13 (define @t228 () (forall @t46 (or @t122 @t227 @t158))) % 150.83/151.13 (define @t229 () (lambda @t72 @t228)) % 150.83/151.13 (define @t230 () (or @t217 @t112 @t111 @t110)) % 150.83/151.13 (define @t231 () (or @t122 @t230)) % 150.83/151.13 (define @t232 () (forall @t219 @t231)) % 150.83/151.13 (define @t233 () (@list @t97 @t95 @t93)) % 150.83/151.13 (define @t234 () (forall @t233 @t231)) % 150.83/151.13 (define @t235 () (forall @t233 @t230)) % 150.83/151.13 (define @t236 () (@var "BOUND_VARIABLE_8417" $$unsorted)) % 150.83/151.13 (define @t237 () (@var "BOUND_VARIABLE_8436" $$unsorted)) % 150.83/151.13 (define @t238 () (or @t122 @t235)) % 150.83/151.13 (define @t239 () (not (tptp.reli @t140 @t236))) % 150.83/151.13 (define @t240 () (not (tptp.relr @t237 @t140))) % 150.83/151.13 (define @t241 () (@list @t237 @t140 @t236)) % 150.83/151.13 (define @t242 () (forall @t241 (or (not (tptp.reli @t41 @t237)) @t240 @t239 (_ @t14 @t94 @t236)))) % 150.83/151.13 (define @t243 () (_ @t14 @t13 @t236)) % 150.83/151.13 (define @t244 () (or @t122 @t149 @t239 @t243)) % 150.83/151.13 (define @t245 () (@list @t41 @t140 @t236)) % 150.83/151.13 (define @t246 () (forall @t245 @t244)) % 150.83/151.13 (define @t247 () (lambda @t17 @t246)) % 150.83/151.13 (define @t248 () (or @t122 (_ @t247 @t94 @t41))) % 150.83/151.13 (define @t249 () (forall @t190 @t248)) % 150.83/151.13 (define @t250 () (lambda @t124 @t249)) % 150.83/151.13 (define @t251 () (or @t239 @t243)) % 150.83/151.13 (define @t252 () (or @t122 @t149 @t251)) % 150.83/151.13 (define @t253 () (forall @t245 @t252)) % 150.83/151.13 (define @t254 () (@list @t236)) % 150.83/151.13 (define @t255 () (forall @t254 @t252)) % 150.83/151.13 (define @t256 () (forall @t254 @t251)) % 150.83/151.13 (define @t257 () (@var "BOUND_VARIABLE_8407" $$unsorted)) % 150.83/151.13 (define @t258 () (@list @t257)) % 150.83/151.13 (define @t259 () (or @t122 @t149 @t256)) % 150.83/151.13 (define @t260 () (forall @t46 (or @t172 @t197))) % 150.83/151.13 (define @t261 () (or @t122 @t149 @t260)) % 150.83/151.13 (define @t262 () (_ @t206 @t140)) % 150.83/151.13 (define @t263 () (or @t122 @t149 @t262)) % 150.83/151.13 (define @t264 () (forall @t165 @t263)) % 150.83/151.13 (define @t265 () (lambda @t124 @t264)) % 150.83/151.13 (define @t266 () (lambda @t17 (_ (_ @t184 @t215) @t12))) % 150.83/151.13 (define @t267 () (forall @t20 (_ @t130 (_ (_ @t229 (_ @t205 @t266)) (_ @t184 (_ @t205 @t216)))))) % 150.83/151.13 (define @t268 () (not (tptp.reli @t23 @t41))) % 150.83/151.13 (define @t269 () (forall @t46 (or @t268 @t213))) % 150.83/151.13 (define @t270 () (lambda @t24 @t269)) % 150.83/151.13 (define @t271 () (@list @t42 @t23)) % 150.83/151.13 (define @t272 () (lambda @t271 @t269)) % 150.83/151.13 (define @t273 () (_ @t44 @t23 @t41)) % 150.83/151.13 (define @t274 () (lambda @t48 (forall @t46 (or (not @t273) @t213)))) % 150.83/151.13 (define @t275 () (_ @t274 tptp.reli)) % 150.83/151.13 (define @t276 () (not @t45)) % 150.83/151.13 (define @t277 () (or @t276 @t43)) % 150.83/151.13 (define @t278 () (or @t268 @t203)) % 150.83/151.13 (define @t279 () (forall @t190 @t278)) % 150.83/151.13 (define @t280 () (@list @t94)) % 150.83/151.13 (define @t281 () (forall @t280 @t278)) % 150.83/151.13 (define @t282 () (forall @t280 @t203)) % 150.83/151.13 (define @t283 () (or @t268 @t282)) % 150.83/151.13 (define @t284 () (forall @t55 (_ @t14 @t52 @t41))) % 150.83/151.13 (define @t285 () (lambda @t61 (forall @t55 (_ @t14 @t52 @t51)))) % 150.83/151.13 (define @t286 () (_ @t285 @t41)) % 150.83/151.13 (define @t287 () (or @t268 @t286)) % 150.83/151.13 (define @t288 () (forall @t46 @t287)) % 150.83/151.13 (define @t289 () (lambda @t24 @t288)) % 150.83/151.13 (define @t290 () (_ @t53 @t52 @t51)) % 150.83/151.13 (define @t291 () (or @t268 @t149 @t182)) % 150.83/151.13 (define @t292 () (or @t149 @t182)) % 150.83/151.13 (define @t293 () (or @t268 @t292)) % 150.83/151.13 (define @t294 () (forall @t165 @t293)) % 150.83/151.13 (define @t295 () (@list @t140)) % 150.83/151.13 (define @t296 () (forall @t295 @t293)) % 150.83/151.13 (define @t297 () (forall @t295 @t292)) % 150.83/151.13 (define @t298 () (@var "BOUND_VARIABLE_7926" $$unsorted)) % 150.83/151.13 (define @t299 () (@list @t298)) % 150.83/151.13 (define @t300 () (or @t268 @t297)) % 150.83/151.13 (define @t301 () (_ @t1 @t298)) % 150.83/151.13 (define @t302 () (@list @t298)) % 150.83/151.13 (define @t303 () (forall @t302 (or (not (tptp.relr @t41 @t298)) @t301))) % 150.83/151.13 (define @t304 () (not (tptp.relr @t23 @t41))) % 150.83/151.13 (define @t305 () (forall @t46 (or @t304 @t226))) % 150.83/151.13 (define @t306 () (lambda @t24 @t305)) % 150.83/151.13 (define @t307 () (or @t268 (_ @t306 @t41))) % 150.83/151.13 (define @t308 () (forall @t46 @t307)) % 150.83/151.13 (define @t309 () (lambda @t24 @t308)) % 150.83/151.13 (define @t310 () (lambda @t271 (forall @t46 (or @t304 @t213)))) % 150.83/151.13 (define @t311 () (_ @t71 @t41)) % 150.83/151.13 (define @t312 () (_ @t1 @t41)) % 150.83/151.13 (define @t313 () (not @t312)) % 150.83/151.13 (define @t314 () (or @t268 @t313 @t311)) % 150.83/151.13 (define @t315 () (or @t313 @t311)) % 150.83/151.13 (define @t316 () (_ @t1 @t12)) % 150.83/151.13 (define @t317 () (not @t316)) % 150.83/151.13 (define @t318 () (lambda @t124 (or @t317 (_ @t71 @t12)))) % 150.83/151.13 (define @t319 () (_ @t318 @t41)) % 150.83/151.13 (define @t320 () (or @t268 @t319)) % 150.83/151.13 (define @t321 () (forall @t46 @t320)) % 150.83/151.13 (define @t322 () (lambda @t24 @t321)) % 150.83/151.13 (define @t323 () (_ @t36 @t12)) % 150.83/151.13 (define @t324 () (@list @t36 @t12)) % 150.83/151.13 (define @t325 () (lambda @t324 (or @t317 @t323))) % 150.83/151.13 (define @t326 () (or (not (_ @t37 @t12)) @t323)) % 150.83/151.13 (define @t327 () (lambda @t38 @t326)) % 150.83/151.13 (define @t328 () (not (_ @t37 @t27))) % 150.83/151.13 (define @t329 () (@list @t27)) % 150.83/151.13 (define @t330 () (lambda @t329 (or @t328 (_ @t36 @t27)))) % 150.83/151.13 (define @t331 () (@list @t31 @t27)) % 150.83/151.13 (define @t332 () (lambda @t329 @t328)) % 150.83/151.13 (define @t333 () (_ @t332 @t27)) % 150.83/151.13 (define @t334 () (or @t333 @t32)) % 150.83/151.13 (define @t335 () (lambda @t331 @t334)) % 150.83/151.13 (define @t336 () (_ @t42 @t51)) % 150.83/151.13 (define @t337 () (lambda @t63 (forall @t61 @t336))) % 150.83/151.13 (define @t338 () (@quantifiers_skolemize @t104 0)) % 150.83/151.13 (define @t339 () (@quantifiers_skolemize @t104 2)) % 150.83/151.13 (define @t340 () (_ @t88 @t87 @t339)) % 150.83/151.13 (define @t341 () (forall @t101 (or (not (_ @t85 @t340 @t99)) @t100 @t98 @t96 (_ @t85 (_ @t84 @t338 @t94) @t93)))) % 150.83/151.13 (define @t342 () (@quantifiers_skolemize @t104 7)) % 150.83/151.13 (define @t343 () (@quantifiers_skolemize @t104 6)) % 150.83/151.13 (define @t344 () (_ @t84 @t338 @t343)) % 150.83/151.13 (define @t345 () (_ @t85 @t344 @t342)) % 150.83/151.13 (define @t346 () (@quantifiers_skolemize @t104 5)) % 150.83/151.13 (define @t347 () (_ @t85 (_ @t88 @t87 @t346) @t342)) % 150.83/151.13 (define @t348 () (not @t347)) % 150.83/151.13 (define @t349 () (@quantifiers_skolemize @t104 4)) % 150.83/151.13 (define @t350 () (_ @t88 @t87 @t349)) % 150.83/151.13 (define @t351 () (_ @t85 @t350 @t346)) % 150.83/151.13 (define @t352 () (not @t351)) % 150.83/151.13 (define @t353 () (@quantifiers_skolemize @t104 3)) % 150.83/151.13 (define @t354 () (_ @t85 (_ @t88 @t91 @t353) @t349)) % 150.83/151.13 (define @t355 () (not @t354)) % 150.83/151.13 (define @t356 () (_ @t85 @t340 @t353)) % 150.83/151.13 (define @t357 () (not @t356)) % 150.83/151.13 (define @t358 () (not @t341)) % 150.83/151.13 (define @t359 () (or (not (_ @t85 (_ @t88 @t87 (@quantifiers_skolemize @t104 1)) @t339)) @t358 @t357 @t355 @t352 @t348 @t345)) % 150.83/151.13 (define @t360 () (@list true)) % 150.83/151.13 (define @t361 () (@list @t359)) % 150.83/151.13 (define @t362 () (@var "BOUND_VARIABLE_8230" $$unsorted)) % 150.83/151.13 (define @t363 () (@var "BOUND_VARIABLE_8639" (@ho-elim-sort (-> $$unsorted Bool)))) % 150.83/151.13 (define @t364 () (@var "BOUND_VARIABLE_8228" $$unsorted)) % 150.83/151.13 (define @t365 () (not (forall @t46 (or @t103 (_ @t85 @t363 @t41))))) % 150.83/151.13 (define @t366 () (_ @t1 @t362)) % 150.83/151.13 (define @t367 () (not (tptp.reli @t364 @t362))) % 150.83/151.13 (define @t368 () (not (tptp.reli @t51 @t364))) % 150.83/151.13 (define @t369 () (not (forall @t46 (or @t116 @t226)))) % 150.83/151.13 (define @t370 () (or @t369 @t368 @t367 @t366)) % 150.83/151.13 (define @t371 () (forall (@list @t1 @t51 @t364 @t362) @t370)) % 150.83/151.13 (define @t372 () (@list @t51 @t364 @t362)) % 150.83/151.13 (define @t373 () (or @t368 @t367 @t366)) % 150.83/151.13 (define @t374 () (or @t369 @t373)) % 150.83/151.13 (define @t375 () (forall @t372 @t374)) % 150.83/151.13 (define @t376 () (@list @t364 @t362)) % 150.83/151.13 (define @t377 () (forall @t376 @t374)) % 150.83/151.13 (define @t378 () (forall @t376 @t373)) % 150.83/151.13 (define @t379 () (@var "BOUND_VARIABLE_8201" $$unsorted)) % 150.83/151.13 (define @t380 () (or @t369 @t378)) % 150.83/151.13 (define @t381 () (_ @t1 @t379)) % 150.83/151.13 (define @t382 () (not (tptp.reli @t41 @t379))) % 150.83/151.13 (define @t383 () (@list @t41 @t379)) % 150.83/151.13 (define @t384 () (or @t369 (forall @t383 (or @t116 @t382 @t381)))) % 150.83/151.13 (define @t385 () (forall @t383 (or @t122 @t382 @t381))) % 150.83/151.13 (define @t386 () (forall @t46 (or @t122 @t226))) % 150.83/151.13 (define @t387 () (not @t386)) % 150.83/151.13 (define @t388 () (lambda @t124 (or @t387 @t385))) % 150.83/151.13 (define @t389 () (_ @t388 @t51)) % 150.83/151.13 (define @t390 () (forall @t61 @t389)) % 150.83/151.13 (define @t391 () (or @t268 @t382 @t381)) % 150.83/151.13 (define @t392 () (lambda @t24 (forall @t383 @t391))) % 150.83/151.13 (define @t393 () (_ @t392 @t12)) % 150.83/151.13 (define @t394 () (or @t387 @t393)) % 150.83/151.13 (define @t395 () (lambda @t124 @t394)) % 150.83/151.13 (define @t396 () (lambda @t324 (or @t387 @t323))) % 150.83/151.13 (define @t397 () (or @t382 @t381)) % 150.83/151.13 (define @t398 () (or @t268 @t397)) % 150.83/151.13 (define @t399 () (forall @t383 @t398)) % 150.83/151.13 (define @t400 () (@list @t379)) % 150.83/151.13 (define @t401 () (forall @t400 @t398)) % 150.83/151.13 (define @t402 () (forall @t400 @t397)) % 150.83/151.13 (define @t403 () (@var "BOUND_VARIABLE_8185" $$unsorted)) % 150.83/151.13 (define @t404 () (@list @t403)) % 150.83/151.13 (define @t405 () (or @t268 @t402)) % 150.83/151.13 (define @t406 () (_ @t1 @t403)) % 150.83/151.13 (define @t407 () (@list @t403)) % 150.83/151.13 (define @t408 () (forall @t407 (or (not (tptp.reli @t41 @t403)) @t406))) % 150.83/151.13 (define @t409 () (forall @t46 (or @t268 @t226))) % 150.83/151.13 (define @t410 () (lambda @t24 @t409)) % 150.83/151.13 (define @t411 () (or @t268 (_ @t410 @t41))) % 150.83/151.13 (define @t412 () (forall @t46 @t411)) % 150.83/151.13 (define @t413 () (lambda @t24 @t412)) % 150.83/151.13 (define @t414 () (_ @t410 @t12)) % 150.83/151.13 (define @t415 () (not @t414)) % 150.83/151.13 (define @t416 () (or @t415 @t323)) % 150.83/151.13 (define @t417 () (lambda @t324 @t416)) % 150.83/151.13 (define @t418 () (_ @t275 @t1)) % 150.83/151.13 (define @t419 () (_ @t327 @t418)) % 150.83/151.13 (define @t420 () (forall @t46 (or (not (_ @t85 @t350 @t41)) (_ @t85 @t344 @t41)))) % 150.83/151.13 (define @t421 () (not @t420)) % 150.83/151.13 (define @t422 () (or @t421 @t352 @t348 @t345)) % 150.83/151.13 (define @t423 () (@quantifiers_skolemize @t420 0)) % 150.83/151.13 (define @t424 () (_ @t85 @t344 @t423)) % 150.83/151.13 (define @t425 () (_ @t85 @t350 @t423)) % 150.83/151.13 (define @t426 () (not @t425)) % 150.83/151.13 (define @t427 () (or @t426 @t424)) % 150.83/151.13 (define @t428 () (@list @t427)) % 150.83/151.13 (define @t429 () (forall (@list @t363 @t51) (or @t365 (_ @t85 @t363 @t51)))) % 150.83/151.13 (define @t430 () (or @t369 @t128)) % 150.83/151.13 (define @t431 () (forall (@list @t1 @t51) @t430)) % 150.83/151.13 (define @t432 () (_ @t1 @t51)) % 150.83/151.13 (define @t433 () (or @t369 @t432)) % 150.83/151.13 (define @t434 () (lambda @t124 (or @t387 @t316))) % 150.83/151.13 (define @t435 () (_ @t434 @t51)) % 150.83/151.13 (define @t436 () (forall @t61 @t435)) % 150.83/151.13 (define @t437 () (_ @t85 @t340 @t339)) % 150.83/151.13 (define @t438 () (_ @t85 @t340 @t41)) % 150.83/151.13 (define @t439 () (forall @t46 (or (not @t438) @t438))) % 150.83/151.13 (define @t440 () (not @t439)) % 150.83/151.13 (define @t441 () (or @t440 @t437)) % 150.83/151.13 (define @t442 () (not @t437)) % 150.83/151.13 (define @t443 () (or @t442 @t357 @t355 @t426 @t424)) % 150.83/151.13 (define @t444 () (not @t443)) % 150.83/151.13 (assume @p1 (= tptp.cs4_true tptp.mtrue)) % 150.83/151.13 (assume @p2 (= tptp.cs4_false tptp.mfalse)) % 150.83/151.13 (assume @p3 @t6) % 150.83/151.13 (assume @p4 (forall @t5 (_ tptp.mvalid (_ @t9 @t1)))) % 150.83/151.13 (assume @p5 @t10) % 150.83/151.13 (assume @p6 (forall @t5 (_ tptp.mvalid (_ @t9 (_ @t7 @t8))))) % 150.83/151.13 (assume @p7 (forall @t5 (_ tptp.mvalid (_ (_ tptp.mimpl @t11) (_ @t7 @t3))))) % 150.83/151.13 (assume @p8 @t22) % 150.83/151.13 (assume @p9 true) % 150.83/151.13 (step @p10 (= tptp.mfalse @t25) :rule refl :args (@t25)) % 150.83/151.13 (step @p11 (= tptp.mtrue @t26) :rule refl :args (@t26)) % 150.83/151.13 (step @p12 (= tptp.mnot @t30) :rule refl :args (@t30)) % 150.83/151.13 (step @p13 (= tptp.mor @t34) :rule refl :args (@t34)) % 150.83/151.13 (step @p14 (= tptp.mand @t35) :rule refl :args (@t35)) % 150.83/151.13 (step @p15 (= tptp.mimpl @t39) :rule refl :args (@t39)) % 150.83/151.13 (step @p16 (= tptp.miff @t40) :rule refl :args (@t40)) % 150.83/151.13 (step @p17 (= tptp.mbox @t49) :rule refl :args (@t49)) % 150.83/151.13 (step @p18 (= tptp.mdia @t50) :rule refl :args (@t50)) % 150.83/151.13 (step @p19 (= tptp.mall @t58) :rule refl :args (@t58)) % 150.83/151.13 (step @p20 (= tptp.mexists @t59) :rule refl :args (@t59)) % 150.83/151.13 (step @p21 (= tptp.mvalid @t64) :rule refl :args (@t64)) % 150.83/151.13 (step @p22 (= tptp.msatisfiable @t65) :rule refl :args (@t65)) % 150.83/151.13 (step @p23 (= tptp.mcountersatisfiable @t67) :rule refl :args (@t67)) % 150.83/151.13 (step @p24 (= tptp.minvalid @t68) :rule refl :args (@t68)) % 150.83/151.13 (step @p25 (= tptp.cs4_atom @t70) :rule refl :args (@t70)) % 150.83/151.13 (step @p26 (= tptp.cs4_and @t73) :rule refl :args (@t73)) % 150.83/151.13 (step @p27 (= tptp.cs4_or @t74) :rule refl :args (@t74)) % 150.83/151.13 (step @p28 (= tptp.cs4_impl @t75) :rule refl :args (@t75)) % 150.83/151.13 (step @p29 (= tptp.cs4_all @t77) :rule refl :args (@t77)) % 150.83/151.13 (step @p30 (= tptp.cs4_box @t79) :rule refl :args (@t79)) % 150.83/151.13 (step @p31 (= tptp.cs4_valid @t80) :rule refl :args (@t80)) % 150.83/151.13 ; WARNING: add trust step for TRUST % 150.83/151.13 ; trust TRUST PREPROCESS_HO_ELIM % 150.83/151.13 (step @p32 :rule trust :premises () :args ((= (not @t118) (not @t104)))) % 150.83/151.13 (step @p33 :rule quant-merge-prenex :args ((= (forall @t20 @t119) @t118))) % 150.83/151.13 (step @p34 :rule quant-merge-prenex :args ((= (forall @t61 @t121) @t119))) % 150.83/151.13 (step @p35 :rule beta-reduce :args ((= @t126 @t121))) % 150.83/151.13 (step @p36 :rule cong :premises (@p35) :args (@t127)) % 150.83/151.13 (step @p37 :rule trans :premises (@p36 @p34)) % 150.83/151.13 (step @p38 :rule beta-reduce :args ((= (_ @t130 @t125) @t127))) % 150.83/151.13 (step @p39 :rule trans :premises (@p38 @p37)) % 150.83/151.13 (step @p40 :rule aci_norm :args ((= @t132 @t123))) % 150.83/151.13 (step @p41 :rule cong :premises (@p40) :args (@t133)) % 150.83/151.13 (step @p42 :rule quant-merge-prenex :args ((= (forall @t46 @t135) @t133))) % 150.83/151.13 (step @p43 :rule alpha_equiv :args (@t136 (@list @t90 @t89 @t86 @t82 @t81) (@list @t141 @t140 @t139 @t138 @t137))) % 150.83/151.13 (step @p44 :rule refl :args (@t115)) % 150.83/151.13 (step @p45 :rule refl :args (@t122)) % 150.83/151.13 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43) :args (@t142)) % 150.83/151.13 (step @p47 :rule quant-miniscope-or :args ((= @t135 @t142))) % 150.83/151.13 (step @p48 :rule trans :premises (@p47 @p46)) % 150.83/151.13 (step @p49 :rule symm :premises (@p48)) % 150.83/151.13 (step @p50 :rule cong :premises (@p49) :args ((forall @t46 (or @t122 @t115 @t148)))) % 150.83/151.13 (step @p51 :rule trans :premises (@p50 @p42)) % 150.83/151.13 (step @p52 :rule trans :premises (@p51 @p41)) % 150.83/151.13 (step @p53 :rule beta-reduce :args ((= (_ (lambda @t124 (forall @t147 (or (not (tptp.reli @t12 @t141)) @t146 @t145 @t144 @t143))) @t41) @t148))) % 150.83/151.13 (step @p54 :rule refl :args (@t41)) % 150.83/151.13 (step @p55 :rule alpha_equiv :args (@t152 @t153 (@list @t141))) % 150.83/151.13 (step @p56 :rule cong :premises (@p55) :args (@t154)) % 150.83/151.13 (step @p57 :rule ho_cong :premises (@p56 @p54)) % 150.83/151.13 (step @p58 :rule trans :premises (@p57 @p53)) % 150.83/151.13 (step @p59 :rule refl :args (@t115)) % 150.83/151.13 (step @p60 :rule refl :args (@t122)) % 150.83/151.13 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58) :args (@t155)) % 150.83/151.13 (step @p62 :rule cong :premises (@p61) :args (@t156)) % 150.83/151.13 (step @p63 :rule trans :premises (@p62 @p52)) % 150.83/151.13 (step @p64 :rule cong :premises (@p63) :args (@t157)) % 150.83/151.13 (step @p65 :rule beta-reduce :args ((= (_ (lambda @t159 (forall @t46 (or @t122 @t115 @t158))) @t154) @t157))) % 150.83/151.13 (step @p66 :rule trans :premises (@p65 @p64)) % 150.83/151.13 (step @p67 :rule aci_norm :args ((= @t161 @t150))) % 150.83/151.13 (step @p68 :rule cong :premises (@p67) :args (@t162)) % 150.83/151.13 (step @p69 :rule quant-merge-prenex :args ((= (forall @t165 @t164) @t162))) % 150.83/151.13 (step @p70 :rule alpha_equiv :args (@t166 (@list @t139 @t138 @t137) (@list @t168 @t94 @t167))) % 150.83/151.13 (step @p71 :rule refl :args (@t149)) % 150.83/151.13 (step @p72 :rule nary_cong :premises (@p45 @p71 @p70) :args (@t169)) % 150.83/151.13 (step @p73 :rule quant-miniscope-or :args ((= @t164 @t169))) % 150.83/151.13 (step @p74 :rule trans :premises (@p73 @p72)) % 150.83/151.13 (step @p75 :rule symm :premises (@p74)) % 150.83/151.13 (step @p76 :rule cong :premises (@p75) :args ((forall @t165 (or @t122 @t149 (forall (@list @t168 @t94 @t167) (or (not (tptp.reli @t140 @t168)) (not (tptp.reli @t168 @t167)) @t170)))))) % 150.83/151.13 (step @p77 :rule trans :premises (@p76 @p69)) % 150.83/151.13 (step @p78 :rule trans :premises (@p77 @p68)) % 150.83/151.13 (step @p79 :rule alpha_equiv :args (@t174 @t153 (@list @t168))) % 150.83/151.13 (step @p80 :rule nary_cong :premises (@p45 @p71 @p79) :args (@t175)) % 150.83/151.13 (step @p81 :rule cong :premises (@p80) :args ((forall @t165 @t175))) % 150.83/151.13 (step @p82 :rule trans :premises (@p81 @p78)) % 150.83/151.13 (step @p83 :rule beta-reduce :args ((= @t178 @t174))) % 150.83/151.13 (step @p84 :rule refl :args (@t149)) % 150.83/151.13 (step @p85 :rule nary_cong :premises (@p60 @p84 @p83) :args (@t179)) % 150.83/151.13 (step @p86 :rule cong :premises (@p85) :args (@t180)) % 150.83/151.13 (step @p87 :rule trans :premises (@p86 @p82)) % 150.83/151.13 (step @p88 :rule cong :premises (@p87) :args (@t181)) % 150.83/151.13 (step @p89 :rule beta-reduce :args ((= (_ @t184 @t177) @t181))) % 150.83/151.13 (step @p90 :rule trans :premises (@p89 @p88)) % 150.83/151.13 (step @p91 :rule aci_norm :args ((= @t186 @t176))) % 150.83/151.13 (step @p92 :rule cong :premises (@p91) :args (@t187)) % 150.83/151.13 (step @p93 :rule quant-merge-prenex :args ((= (forall @t190 @t189) @t187))) % 150.83/151.13 (step @p94 :rule alpha_equiv :args (@t191 (@list @t167) @t193)) % 150.83/151.13 (step @p95 :rule nary_cong :premises (@p45 @p94) :args (@t194)) % 150.83/151.13 (step @p96 :rule quant-miniscope-or :args ((= @t189 @t194))) % 150.83/151.13 (step @p97 :rule trans :premises (@p96 @p95)) % 150.83/151.13 (step @p98 :rule symm :premises (@p97)) % 150.83/151.13 (step @p99 :rule cong :premises (@p98) :args ((forall @t190 (or @t122 @t196)))) % 150.83/151.13 (step @p100 :rule trans :premises (@p99 @p93)) % 150.83/151.13 (step @p101 :rule trans :premises (@p100 @p92)) % 150.83/151.13 (step @p102 :rule beta-reduce :args ((= (_ (lambda @t17 (forall @t195 (or (not (tptp.reli @t12 @t192)) (_ @t14 @t13 @t192)))) @t94 @t41) @t196))) % 150.83/151.13 (step @p103 :rule refl :args (@t94)) % 150.83/151.13 (step @p104 :rule alpha_equiv :args (@t198 @t153 @t193)) % 150.83/151.13 (step @p105 :rule cong :premises (@p104) :args (@t199)) % 150.83/151.13 (step @p106 :rule ho_cong :premises (@p105 @p103 @p54)) % 150.83/151.13 (step @p107 :rule trans :premises (@p106 @p102)) % 150.83/151.13 (step @p108 :rule nary_cong :premises (@p60 @p107) :args (@t200)) % 150.83/151.13 (step @p109 :rule cong :premises (@p108) :args (@t201)) % 150.83/151.13 (step @p110 :rule trans :premises (@p109 @p101)) % 150.83/151.13 (step @p111 :rule cong :premises (@p110) :args (@t202)) % 150.83/151.13 (step @p112 :rule beta-reduce :args ((= (_ @t205 @t199) @t202))) % 150.83/151.13 (step @p113 :rule trans :premises (@p112 @p111)) % 150.83/151.13 (step @p114 :rule beta-reduce :args ((= (_ @t206 @t12) @t198))) % 150.83/151.13 (step @p115 :rule refl :args (@t12)) % 150.83/151.13 (step @p116 :rule refl :args (@t197)) % 150.83/151.13 (step @p117 :rule refl :args (@t207)) % 150.83/151.13 (step @p118 :rule cong :premises (@p117 @p116) :args ((= @t207 @t197))) % 150.83/151.13 (step @p119 :rule symm :premises (@p118)) % 150.83/151.13 (step @p120 :rule eq_resolve :premises (@p117 @p119)) % 150.83/151.13 (step @p121 :rule nary_cong :premises (@p45 @p120) :args (@t208)) % 150.83/151.13 (step @p122 :rule cong :premises (@p121) :args ((forall @t46 @t208))) % 150.83/151.13 (step @p123 :rule refl :args (@t209)) % 150.83/151.13 (step @p124 :rule nary_cong :premises (@p60 @p123) :args (@t210)) % 150.83/151.13 (step @p125 :rule cong :premises (@p124) :args (@t211)) % 150.83/151.13 (step @p126 :rule trans :premises (@p125 @p122)) % 150.83/151.13 (step @p127 :rule cong :premises (@p126) :args (@t212)) % 150.83/151.13 (step @p128 :rule beta-reduce :args ((= @t215 @t212))) % 150.83/151.13 (step @p129 :rule trans :premises (@p128 @p127)) % 150.83/151.13 (step @p130 :rule ho_cong :premises (@p129 @p115)) % 150.83/151.13 (step @p131 :rule trans :premises (@p130 @p114)) % 150.83/151.13 (step @p132 :rule cong :premises (@p131) :args (@t216)) % 150.83/151.13 (step @p133 :rule refl :args (@t205)) % 150.83/151.13 (step @p134 :rule ho_cong :premises (@p133 @p132)) % 150.83/151.13 (step @p135 :rule trans :premises (@p134 @p113)) % 150.83/151.13 (step @p136 :rule refl :args (@t184)) % 150.83/151.13 (step @p137 :rule ho_cong :premises (@p136 @p135)) % 150.83/151.13 (step @p138 :rule trans :premises (@p137 @p90)) % 150.83/151.13 (step @p139 :rule refl :args (@t158)) % 150.83/151.13 (step @p140 :rule beta-reduce :args ((= (_ (lambda @t124 (forall @t101 (or (not (tptp.reli @t12 @t99)) @t113 @t112 @t111 @t110))) @t41) @t114))) % 150.83/151.13 (step @p141 :rule alpha_equiv :args (@t220 @t153 (@list @t99))) % 150.83/151.13 (step @p142 :rule cong :premises (@p141) :args (@t221)) % 150.83/151.13 (step @p143 :rule ho_cong :premises (@p142 @p54)) % 150.83/151.13 (step @p144 :rule trans :premises (@p143 @p140)) % 150.83/151.13 (step @p145 :rule cong :premises (@p144) :args (@t222)) % 150.83/151.13 (step @p146 :rule nary_cong :premises (@p60 @p145 @p139) :args (@t223)) % 150.83/151.13 (step @p147 :rule cong :premises (@p146) :args (@t224)) % 150.83/151.13 (step @p148 :rule cong :premises (@p147) :args (@t225)) % 150.83/151.13 (step @p149 :rule beta-reduce :args ((= (_ @t229 @t221) @t225))) % 150.83/151.13 (step @p150 :rule trans :premises (@p149 @p148)) % 150.83/151.13 (step @p151 :rule aci_norm :args ((= @t231 @t218))) % 150.83/151.13 (step @p152 :rule cong :premises (@p151) :args (@t232)) % 150.83/151.13 (step @p153 :rule quant-merge-prenex :args ((= (forall @t190 @t234) @t232))) % 150.83/151.13 (step @p154 :rule alpha_equiv :args (@t235 (@list @t97 @t95 @t93) (@list @t237 @t140 @t236))) % 150.83/151.13 (step @p155 :rule nary_cong :premises (@p45 @p154) :args (@t238)) % 150.83/151.13 (step @p156 :rule quant-miniscope-or :args ((= @t234 @t238))) % 150.83/151.13 (step @p157 :rule trans :premises (@p156 @p155)) % 150.83/151.13 (step @p158 :rule symm :premises (@p157)) % 150.83/151.13 (step @p159 :rule cong :premises (@p158) :args ((forall @t190 (or @t122 @t242)))) % 150.83/151.13 (step @p160 :rule trans :premises (@p159 @p153)) % 150.83/151.13 (step @p161 :rule trans :premises (@p160 @p152)) % 150.83/151.13 (step @p162 :rule beta-reduce :args ((= (_ (lambda @t17 (forall @t241 (or (not (tptp.reli @t12 @t237)) @t240 @t239 @t243))) @t94 @t41) @t242))) % 150.83/151.13 (step @p163 :rule alpha_equiv :args (@t246 @t153 (@list @t237))) % 150.83/151.13 (step @p164 :rule cong :premises (@p163) :args (@t247)) % 150.83/151.13 (step @p165 :rule ho_cong :premises (@p164 @p103 @p54)) % 150.83/151.13 (step @p166 :rule trans :premises (@p165 @p162)) % 150.83/151.13 (step @p167 :rule nary_cong :premises (@p60 @p166) :args (@t248)) % 150.83/151.13 (step @p168 :rule cong :premises (@p167) :args (@t249)) % 150.83/151.13 (step @p169 :rule trans :premises (@p168 @p161)) % 150.83/151.13 (step @p170 :rule cong :premises (@p169) :args (@t250)) % 150.83/151.13 (step @p171 :rule beta-reduce :args ((= (_ @t205 @t247) @t250))) % 150.83/151.13 (step @p172 :rule trans :premises (@p171 @p170)) % 150.83/151.13 (step @p173 :rule beta-reduce :args ((= (_ (lambda @t124 @t246) @t12) @t246))) % 150.83/151.13 (step @p174 :rule aci_norm :args ((= @t252 @t244))) % 150.83/151.13 (step @p175 :rule cong :premises (@p174) :args (@t253)) % 150.83/151.13 (step @p176 :rule quant-merge-prenex :args ((= (forall @t165 @t255) @t253))) % 150.83/151.13 (step @p177 :rule alpha_equiv :args (@t256 (@list @t236) @t258)) % 150.83/151.13 (step @p178 :rule nary_cong :premises (@p45 @p71 @p177) :args (@t259)) % 150.83/151.13 (step @p179 :rule quant-miniscope-or :args ((= @t255 @t259))) % 150.83/151.13 (step @p180 :rule trans :premises (@p179 @p178)) % 150.83/151.13 (step @p181 :rule symm :premises (@p180)) % 150.83/151.13 (step @p182 :rule cong :premises (@p181) :args ((forall @t165 (or @t122 @t149 (forall (@list @t257) (or (not (tptp.reli @t140 @t257)) (_ @t14 @t13 @t257))))))) % 150.83/151.13 (step @p183 :rule trans :premises (@p182 @p176)) % 150.83/151.13 (step @p184 :rule trans :premises (@p183 @p175)) % 150.83/151.13 (step @p185 :rule alpha_equiv :args (@t260 @t153 @t258)) % 150.83/151.13 (step @p186 :rule nary_cong :premises (@p45 @p71 @p185) :args (@t261)) % 150.83/151.13 (step @p187 :rule cong :premises (@p186) :args ((forall @t165 @t261))) % 150.83/151.13 (step @p188 :rule trans :premises (@p187 @p184)) % 150.83/151.13 (step @p189 :rule beta-reduce :args ((= @t262 @t260))) % 150.83/151.13 (step @p190 :rule nary_cong :premises (@p60 @p84 @p189) :args (@t263)) % 150.83/151.13 (step @p191 :rule cong :premises (@p190) :args (@t264)) % 150.83/151.13 (step @p192 :rule trans :premises (@p191 @p188)) % 150.83/151.13 (step @p193 :rule cong :premises (@p192) :args (@t265)) % 150.83/151.13 (step @p194 :rule beta-reduce :args ((= (_ @t184 @t206) @t265))) % 150.83/151.13 (step @p195 :rule trans :premises (@p194 @p193)) % 150.83/151.13 (step @p196 :rule ho_cong :premises (@p136 @p129)) % 150.83/151.13 (step @p197 :rule trans :premises (@p196 @p195)) % 150.83/151.13 (step @p198 :rule ho_cong :premises (@p197 @p115)) % 150.83/151.13 (step @p199 :rule trans :premises (@p198 @p173)) % 150.83/151.13 (step @p200 :rule cong :premises (@p199) :args (@t266)) % 150.83/151.13 (step @p201 :rule ho_cong :premises (@p133 @p200)) % 150.83/151.13 (step @p202 :rule trans :premises (@p201 @p172)) % 150.83/151.13 (step @p203 :rule refl :args (@t229)) % 150.83/151.13 (step @p204 :rule ho_cong :premises (@p203 @p202)) % 150.83/151.13 (step @p205 :rule trans :premises (@p204 @p150)) % 150.83/151.13 (step @p206 :rule ho_cong :premises (@p205 @p138)) % 150.83/151.13 (step @p207 :rule trans :premises (@p206 @p66)) % 150.83/151.13 (step @p208 :rule refl :args (@t130)) % 150.83/151.13 (step @p209 :rule ho_cong :premises (@p208 @p207)) % 150.83/151.13 (step @p210 :rule trans :premises (@p209 @p39)) % 150.83/151.13 (step @p211 :rule cong :premises (@p210) :args (@t267)) % 150.83/151.13 (step @p212 :rule trans :premises (@p211 @p33)) % 150.83/151.13 (step @p213 :rule cong :premises (@p212) :args ((not @t267))) % 150.83/151.13 (step @p214 :rule refl :args (@t15)) % 150.83/151.13 (step @p215 :rule beta-reduce :args ((= (_ @t270 @t12) @t214))) % 150.83/151.13 (step @p216 :rule beta-reduce :args ((= (_ @t272 @t42) @t270))) % 150.83/151.13 (step @p217 :rule refl :args (@t42)) % 150.83/151.13 (step @p218 :rule beta-reduce :args ((= @t275 @t272))) % 150.83/151.13 (step @p219 :rule ho_cong :premises (@p218 @p217)) % 150.83/151.13 (step @p220 :rule trans :premises (@p219 @p216)) % 150.83/151.13 (step @p221 :rule ho_cong :premises (@p220 @p115)) % 150.83/151.13 (step @p222 :rule trans :premises (@p221 @p215)) % 150.83/151.13 (step @p223 :rule refl :args (tptp.reli)) % 150.83/151.13 (step @p224 :rule refl :args (@t213)) % 150.83/151.13 (step @p225 :rule refl :args (@t43)) % 150.83/151.13 (step @p226 :rule cong :premises (@p225 @p224) :args ((= @t43 @t213))) % 150.83/151.13 (step @p227 :rule symm :premises (@p226)) % 150.83/151.13 (step @p228 :rule eq_resolve :premises (@p225 @p227)) % 150.83/151.13 (step @p229 :rule refl :args (@t273)) % 150.83/151.13 (step @p230 :rule refl :args (@t45)) % 150.83/151.13 (step @p231 :rule cong :premises (@p230 @p229) :args ((= @t45 @t273))) % 150.83/151.13 (step @p232 :rule symm :premises (@p231)) % 150.83/151.13 (step @p233 :rule eq_resolve :premises (@p230 @p232)) % 150.83/151.13 (step @p234 :rule cong :premises (@p233) :args (@t276)) % 150.83/151.13 (step @p235 :rule nary_cong :premises (@p234 @p228) :args (@t277)) % 150.83/151.13 (step @p236 :rule cong :premises (@p235) :args ((forall @t46 @t277))) % 150.83/151.13 (step @p237 :rule bool-impl-elim :args (@t45 @t43)) % 150.83/151.13 (step @p238 :rule cong :premises (@p237) :args (@t47)) % 150.83/151.13 (step @p239 :rule trans :premises (@p238 @p236)) % 150.83/151.13 (step @p240 :rule cong :premises (@p239) :args (@t49)) % 150.83/151.13 (step @p241 :rule trans :premises (@p17 @p240)) % 150.83/151.13 (step @p242 :rule ho_cong :premises (@p241 @p223)) % 150.83/151.13 (step @p243 :rule ho_cong :premises (@p242 @p217)) % 150.83/151.13 (step @p244 :rule ho_cong :premises (@p243 @p115)) % 150.83/151.13 (step @p245 :rule trans :premises (@p244 @p222)) % 150.83/151.13 (step @p246 :rule cong :premises (@p245) :args (@t70)) % 150.83/151.13 (step @p247 :rule trans :premises (@p25 @p246)) % 150.83/151.13 (step @p248 :rule ho_cong :premises (@p247 @p214)) % 150.83/151.13 (step @p249 :rule ho_cong :premises (@p248 @p115)) % 150.83/151.13 (step @p250 :rule cong :premises (@p249) :args (@t18)) % 150.83/151.13 (step @p251 :rule beta-reduce :args ((= (_ (lambda @t24 @t279) @t12) @t204))) % 150.83/151.13 (step @p252 :rule quant-merge-prenex :args ((= (forall @t46 @t281) @t279))) % 150.83/151.13 (step @p253 :rule alpha_equiv :args (@t282 (@list @t94) (@list @t52))) % 150.83/151.13 (step @p254 :rule refl :args (@t268)) % 150.83/151.13 (step @p255 :rule nary_cong :premises (@p254 @p253) :args (@t283)) % 150.83/151.13 (step @p256 :rule quant-miniscope-or :args ((= @t281 @t283))) % 150.83/151.13 (step @p257 :rule trans :premises (@p256 @p255)) % 150.83/151.13 (step @p258 :rule symm :premises (@p257)) % 150.83/151.13 (step @p259 :rule cong :premises (@p258) :args ((forall @t46 (or @t268 @t284)))) % 150.83/151.13 (step @p260 :rule trans :premises (@p259 @p252)) % 150.83/151.13 (step @p261 :rule beta-reduce :args ((= @t286 @t284))) % 150.83/151.13 (step @p262 :rule refl :args (@t268)) % 150.83/151.13 (step @p263 :rule nary_cong :premises (@p262 @p261) :args (@t287)) % 150.83/151.13 (step @p264 :rule cong :premises (@p263) :args (@t288)) % 150.83/151.13 (step @p265 :rule trans :premises (@p264 @p260)) % 150.83/151.13 (step @p266 :rule cong :premises (@p265) :args (@t289)) % 150.83/151.13 (step @p267 :rule beta-reduce :args ((= (_ @t272 @t285) @t289))) % 150.83/151.13 (step @p268 :rule trans :premises (@p267 @p266)) % 150.83/151.13 (step @p269 :rule beta-reduce :args ((= (_ (lambda @t57 (forall @t55 @t290)) @t14) @t285))) % 150.83/151.13 (step @p270 :rule ho_cong :premises (@p218 @p269)) % 150.83/151.13 (step @p271 :rule trans :premises (@p270 @p268)) % 150.83/151.13 (step @p272 :rule ho_cong :premises (@p271 @p115)) % 150.83/151.13 (step @p273 :rule trans :premises (@p272 @p251)) % 150.83/151.13 (step @p274 :rule refl :args (@t14)) % 150.83/151.13 (step @p275 :rule refl :args (@t290)) % 150.83/151.13 (step @p276 :rule refl :args (@t54)) % 150.83/151.13 (step @p277 :rule cong :premises (@p276 @p275) :args ((= @t54 @t290))) % 150.83/151.13 (step @p278 :rule symm :premises (@p277)) % 150.83/151.13 (step @p279 :rule eq_resolve :premises (@p276 @p278)) % 150.83/151.13 (step @p280 :rule cong :premises (@p279) :args (@t56)) % 150.83/151.13 (step @p281 :rule cong :premises (@p280) :args (@t58)) % 150.83/151.13 (step @p282 :rule trans :premises (@p19 @p281)) % 150.83/151.13 (step @p283 :rule ho_cong :premises (@p282 @p274)) % 150.83/151.13 (step @p284 :rule ho_cong :premises (@p242 @p283)) % 150.83/151.13 (step @p285 :rule ho_cong :premises (@p284 @p115)) % 150.83/151.13 (step @p286 :rule trans :premises (@p285 @p273)) % 150.83/151.13 (step @p287 :rule cong :premises (@p286) :args (@t77)) % 150.83/151.13 (step @p288 :rule trans :premises (@p29 @p287)) % 150.83/151.13 (step @p289 :rule ho_cong :premises (@p288 @p250)) % 150.83/151.13 (step @p290 :rule beta-reduce :args ((= (_ (lambda @t24 (forall @t165 @t291)) @t12) @t183))) % 150.83/151.13 (step @p291 :rule aci_norm :args ((= @t293 @t291))) % 150.83/151.13 (step @p292 :rule cong :premises (@p291) :args (@t294)) % 150.83/151.13 (step @p293 :rule quant-merge-prenex :args ((= (forall @t46 @t296) @t294))) % 150.83/151.13 (step @p294 :rule alpha_equiv :args (@t297 (@list @t140) @t299)) % 150.83/151.13 (step @p295 :rule nary_cong :premises (@p254 @p294) :args (@t300)) % 150.83/151.13 (step @p296 :rule quant-miniscope-or :args ((= @t296 @t300))) % 150.83/151.13 (step @p297 :rule trans :premises (@p296 @p295)) % 150.83/151.13 (step @p298 :rule symm :premises (@p297)) % 150.83/151.13 (step @p299 :rule cong :premises (@p298) :args ((forall @t46 (or @t268 @t303)))) % 150.83/151.13 (step @p300 :rule trans :premises (@p299 @p293)) % 150.83/151.13 (step @p301 :rule trans :premises (@p300 @p292)) % 150.83/151.13 (step @p302 :rule beta-reduce :args ((= (_ (lambda @t24 (forall @t302 (or (not (tptp.relr @t23 @t298)) @t301))) @t41) @t303))) % 150.83/151.13 (step @p303 :rule alpha_equiv :args (@t305 @t153 @t299)) % 150.83/151.13 (step @p304 :rule cong :premises (@p303) :args (@t306)) % 150.83/151.13 (step @p305 :rule ho_cong :premises (@p304 @p54)) % 150.83/151.13 (step @p306 :rule trans :premises (@p305 @p302)) % 150.83/151.13 (step @p307 :rule nary_cong :premises (@p262 @p306) :args (@t307)) % 150.83/151.13 (step @p308 :rule cong :premises (@p307) :args (@t308)) % 150.83/151.13 (step @p309 :rule trans :premises (@p308 @p301)) % 150.83/151.13 (step @p310 :rule cong :premises (@p309) :args (@t309)) % 150.83/151.13 (step @p311 :rule beta-reduce :args ((= (_ @t272 @t306) @t309))) % 150.83/151.13 (step @p312 :rule trans :premises (@p311 @p310)) % 150.83/151.13 (step @p313 :rule beta-reduce :args ((= (_ @t310 @t1) @t306))) % 150.83/151.13 (step @p314 :rule refl :args (@t1)) % 150.83/151.13 (step @p315 :rule beta-reduce :args ((= (_ @t274 tptp.relr) @t310))) % 150.83/151.13 (step @p316 :rule ho_cong :premises (@p315 @p314)) % 150.83/151.13 (step @p317 :rule trans :premises (@p316 @p313)) % 150.83/151.13 (step @p318 :rule ho_cong :premises (@p218 @p317)) % 150.83/151.13 (step @p319 :rule trans :premises (@p318 @p312)) % 150.83/151.13 (step @p320 :rule ho_cong :premises (@p319 @p115)) % 150.83/151.13 (step @p321 :rule trans :premises (@p320 @p290)) % 150.83/151.13 (step @p322 :rule refl :args (tptp.relr)) % 150.83/151.13 (step @p323 :rule ho_cong :premises (@p241 @p322)) % 150.83/151.13 (step @p324 :rule ho_cong :premises (@p323 @p314)) % 150.83/151.13 (step @p325 :rule ho_cong :premises (@p242 @p324)) % 150.83/151.13 (step @p326 :rule ho_cong :premises (@p325 @p115)) % 150.83/151.13 (step @p327 :rule trans :premises (@p326 @p321)) % 150.83/151.13 (step @p328 :rule cong :premises (@p327) :args (@t79)) % 150.83/151.13 (step @p329 :rule trans :premises (@p30 @p328)) % 150.83/151.13 (step @p330 :rule ho_cong :premises (@p329 @p289)) % 150.83/151.13 (step @p331 :rule ho_cong :premises (@p329 @p248)) % 150.83/151.13 (step @p332 :rule ho_cong :premises (@p331 @p115)) % 150.83/151.13 (step @p333 :rule cong :premises (@p332) :args (@t19)) % 150.83/151.13 (step @p334 :rule ho_cong :premises (@p288 @p333)) % 150.83/151.13 (step @p335 :rule beta-reduce :args ((= (_ (lambda @t24 (forall @t46 (or @t268 @t227 @t158))) @t12) @t228))) % 150.83/151.13 (step @p336 :rule refl :args (@t158)) % 150.83/151.13 (step @p337 :rule refl :args (@t311)) % 150.83/151.13 (step @p338 :rule cong :premises (@p337 @p336) :args ((= @t311 @t158))) % 150.83/151.13 (step @p339 :rule symm :premises (@p338)) % 150.83/151.13 (step @p340 :rule eq_resolve :premises (@p337 @p339)) % 150.83/151.13 (step @p341 :rule refl :args (@t226)) % 150.83/151.13 (step @p342 :rule refl :args (@t312)) % 150.83/151.13 (step @p343 :rule cong :premises (@p342 @p341) :args ((= @t312 @t226))) % 150.83/151.13 (step @p344 :rule symm :premises (@p343)) % 150.83/151.13 (step @p345 :rule eq_resolve :premises (@p342 @p344)) % 150.83/151.13 (step @p346 :rule cong :premises (@p345) :args (@t313)) % 150.83/151.13 (step @p347 :rule nary_cong :premises (@p254 @p346 @p340) :args (@t314)) % 150.83/151.13 (step @p348 :rule cong :premises (@p347) :args ((forall @t46 @t314))) % 150.83/151.13 (step @p349 :rule aci_norm :args ((= (or @t268 @t315) @t314))) % 150.83/151.13 (step @p350 :rule beta-reduce :args ((= @t319 @t315))) % 150.83/151.13 (step @p351 :rule nary_cong :premises (@p262 @p350) :args (@t320)) % 150.83/151.13 (step @p352 :rule trans :premises (@p351 @p349)) % 150.83/151.13 (step @p353 :rule cong :premises (@p352) :args (@t321)) % 150.83/151.13 (step @p354 :rule trans :premises (@p353 @p348)) % 150.83/151.13 (step @p355 :rule cong :premises (@p354) :args (@t322)) % 150.83/151.13 (step @p356 :rule beta-reduce :args ((= (_ @t272 @t318) @t322))) % 150.83/151.13 (step @p357 :rule trans :premises (@p356 @p355)) % 150.83/151.13 (step @p358 :rule beta-reduce :args ((= (_ @t325 @t71) @t318))) % 150.83/151.13 (step @p359 :rule refl :args (@t71)) % 150.83/151.13 (step @p360 :rule beta-reduce :args ((= (_ @t327 @t1) @t325))) % 150.83/151.13 (step @p361 :rule ho_cong :premises (@p360 @p359)) % 150.83/151.13 (step @p362 :rule trans :premises (@p361 @p358)) % 150.83/151.13 (step @p363 :rule ho_cong :premises (@p218 @p362)) % 150.83/151.13 (step @p364 :rule trans :premises (@p363 @p357)) % 150.83/151.13 (step @p365 :rule ho_cong :premises (@p364 @p115)) % 150.83/151.13 (step @p366 :rule trans :premises (@p365 @p335)) % 150.83/151.13 (step @p367 :rule beta-reduce :args ((= (_ @t330 @t12) @t326))) % 150.83/151.13 (step @p368 :rule beta-reduce :args ((= (_ (lambda @t331 (or @t328 @t32)) @t36) @t330))) % 150.83/151.13 (step @p369 :rule refl :args (@t36)) % 150.83/151.13 (step @p370 :rule refl :args (@t32)) % 150.83/151.13 (step @p371 :rule beta-reduce :args ((= @t333 @t328))) % 150.83/151.13 (step @p372 :rule nary_cong :premises (@p371 @p370) :args (@t334)) % 150.83/151.13 (step @p373 :rule cong :premises (@p372) :args (@t335)) % 150.83/151.13 (step @p374 :rule beta-reduce :args ((= (_ @t34 @t332) @t335))) % 150.83/151.13 (step @p375 :rule trans :premises (@p374 @p373)) % 150.83/151.13 (step @p376 :rule beta-reduce :args ((= (_ @t30 @t37) @t332))) % 150.83/151.13 (step @p377 :rule refl :args (@t34)) % 150.83/151.13 (step @p378 :rule ho_cong :premises (@p377 @p376)) % 150.83/151.13 (step @p379 :rule trans :premises (@p378 @p375)) % 150.83/151.13 (step @p380 :rule ho_cong :premises (@p379 @p369)) % 150.83/151.13 (step @p381 :rule trans :premises (@p380 @p368)) % 150.83/151.13 (step @p382 :rule ho_cong :premises (@p381 @p115)) % 150.83/151.13 (step @p383 :rule trans :premises (@p382 @p367)) % 150.83/151.13 (step @p384 :rule refl :args (@t37)) % 150.83/151.13 (step @p385 :rule ho_cong :premises (@p12 @p384)) % 150.83/151.13 (step @p386 :rule ho_cong :premises (@p13 @p385)) % 150.83/151.13 (step @p387 :rule ho_cong :premises (@p386 @p369)) % 150.83/151.13 (step @p388 :rule ho_cong :premises (@p387 @p115)) % 150.83/151.13 (step @p389 :rule trans :premises (@p388 @p383)) % 150.83/151.13 (step @p390 :rule cong :premises (@p389) :args (@t39)) % 150.83/151.13 (step @p391 :rule trans :premises (@p15 @p390)) % 150.83/151.13 (step @p392 :rule ho_cong :premises (@p391 @p314)) % 150.83/151.13 (step @p393 :rule ho_cong :premises (@p392 @p359)) % 150.83/151.13 (step @p394 :rule ho_cong :premises (@p242 @p393)) % 150.83/151.13 (step @p395 :rule ho_cong :premises (@p394 @p115)) % 150.83/151.13 (step @p396 :rule trans :premises (@p395 @p366)) % 150.83/151.13 (step @p397 :rule cong :premises (@p396) :args (@t75)) % 150.83/151.13 (step @p398 :rule trans :premises (@p28 @p397)) % 150.83/151.13 (step @p399 :rule ho_cong :premises (@p398 @p334)) % 150.83/151.13 (step @p400 :rule ho_cong :premises (@p399 @p330)) % 150.83/151.13 (step @p401 :rule beta-reduce :args ((= (_ @t337 @t1) @t129))) % 150.83/151.13 (step @p402 :rule refl :args (@t336)) % 150.83/151.13 (step @p403 :rule refl :args (@t60)) % 150.83/151.13 (step @p404 :rule cong :premises (@p403 @p402) :args ((= @t60 @t336))) % 150.83/151.13 (step @p405 :rule symm :premises (@p404)) % 150.83/151.13 (step @p406 :rule eq_resolve :premises (@p403 @p405)) % 150.83/151.13 (step @p407 :rule cong :premises (@p406) :args (@t62)) % 150.83/151.13 (step @p408 :rule cong :premises (@p407) :args (@t64)) % 150.83/151.13 (step @p409 :rule trans :premises (@p21 @p408)) % 150.83/151.13 (step @p410 :rule ho_cong :premises (@p409 @p314)) % 150.83/151.13 (step @p411 :rule trans :premises (@p410 @p401)) % 150.83/151.13 (step @p412 :rule cong :premises (@p411) :args (@t80)) % 150.83/151.13 (step @p413 :rule trans :premises (@p31 @p412)) % 150.83/151.13 (step @p414 :rule ho_cong :premises (@p413 @p400)) % 150.83/151.13 (step @p415 :rule cong :premises (@p414) :args (@t21)) % 150.83/151.13 (step @p416 :rule cong :premises (@p415) :args (@t22)) % 150.83/151.13 (step @p417 :rule trans :premises (@p416 @p213)) % 150.83/151.13 (step @p418 :rule trans :premises (@p417 @p32)) % 150.83/151.13 (step @p419 :rule eq_resolve :premises (@p8 @p418)) % 150.83/151.13 (step @p420 :rule skolemize :premises (@p419)) % 150.83/151.13 (step @p421 :rule bool-double-not-elim :args (@t341)) % 150.83/151.13 (step @p422 :rule refl :args (@t359)) % 150.83/151.13 (step @p423 :rule nary_cong :premises (@p422 @p421) :args ((or @t359 (not @t358)))) % 150.83/151.13 (step @p424 :rule cnf_or_neg :args (@t359 1)) % 150.83/151.13 (step @p425 :rule eq_resolve :premises (@p424 @p423)) % 150.83/151.13 (step @p426 :rule reordering :premises (@p425) :args ((or @t341 @t359))) % 150.83/151.13 (step @p427 :rule chain_m_resolution :premises (@p426 @p420) :args (@t341 @t360 @t361)) % 150.83/151.13 ; trust TRUST PREPROCESS_HO_ELIM % 150.83/151.13 (step @p428 :rule trust :premises () :args ((= @t371 (forall (@list @t363 @t51 @t364 @t362) (or @t365 (not (_ @t85 @t102 @t364)) (not (_ @t85 (_ @t88 @t87 @t364) @t362)) (_ @t85 @t363 @t362)))))) % 150.83/151.13 (step @p429 :rule quant-merge-prenex :args ((= (forall @t5 (forall @t372 @t370)) @t371))) % 150.83/151.13 (step @p430 :rule aci_norm :args ((= @t374 @t370))) % 150.83/151.13 (step @p431 :rule cong :premises (@p430) :args (@t375)) % 150.83/151.13 (step @p432 :rule quant-merge-prenex :args ((= (forall @t61 @t377) @t375))) % 150.83/151.13 (step @p433 :rule alpha_equiv :args (@t378 (@list @t364 @t362) (@list @t41 @t379))) % 150.83/151.13 (step @p434 :rule refl :args (@t369)) % 150.83/151.13 (step @p435 :rule nary_cong :premises (@p434 @p433) :args (@t380)) % 150.83/151.13 (step @p436 :rule quant-miniscope-or :args ((= @t377 @t380))) % 150.83/151.13 (step @p437 :rule trans :premises (@p436 @p435)) % 150.83/151.13 (step @p438 :rule symm :premises (@p437)) % 150.83/151.13 (step @p439 :rule cong :premises (@p438) :args ((forall @t61 @t384))) % 150.83/151.13 (step @p440 :rule trans :premises (@p439 @p432)) % 150.83/151.13 (step @p441 :rule trans :premises (@p440 @p431)) % 150.83/151.13 (step @p442 :rule beta-reduce :args ((= @t389 @t384))) % 150.83/151.13 (step @p443 :rule cong :premises (@p442) :args (@t390)) % 150.83/151.13 (step @p444 :rule trans :premises (@p443 @p441)) % 150.83/151.13 (step @p445 :rule beta-reduce :args ((= (_ @t337 @t388) @t390))) % 150.83/151.13 (step @p446 :rule trans :premises (@p445 @p444)) % 150.83/151.13 (step @p447 :rule beta-reduce :args ((= @t393 @t385))) % 150.83/151.13 (step @p448 :rule refl :args (@t387)) % 150.83/151.13 (step @p449 :rule nary_cong :premises (@p448 @p447) :args (@t394)) % 150.83/151.13 (step @p450 :rule cong :premises (@p449) :args (@t395)) % 150.83/151.13 (step @p451 :rule beta-reduce :args ((= (_ @t396 @t392) @t395))) % 150.83/151.13 (step @p452 :rule trans :premises (@p451 @p450)) % 150.83/151.13 (step @p453 :rule aci_norm :args ((= @t398 @t391))) % 150.83/151.13 (step @p454 :rule cong :premises (@p453) :args (@t399)) % 150.83/151.13 (step @p455 :rule quant-merge-prenex :args ((= (forall @t46 @t401) @t399))) % 150.83/151.13 (step @p456 :rule alpha_equiv :args (@t402 (@list @t379) @t404)) % 150.83/151.13 (step @p457 :rule nary_cong :premises (@p254 @p456) :args (@t405)) % 150.83/151.13 (step @p458 :rule quant-miniscope-or :args ((= @t401 @t405))) % 150.83/151.13 (step @p459 :rule trans :premises (@p458 @p457)) % 150.83/151.13 (step @p460 :rule symm :premises (@p459)) % 150.83/151.13 (step @p461 :rule cong :premises (@p460) :args ((forall @t46 (or @t268 @t408)))) % 150.83/151.13 (step @p462 :rule trans :premises (@p461 @p455)) % 150.83/151.13 (step @p463 :rule trans :premises (@p462 @p454)) % 150.83/151.13 (step @p464 :rule beta-reduce :args ((= (_ (lambda @t24 (forall @t407 (or (not (tptp.reli @t23 @t403)) @t406))) @t41) @t408))) % 150.83/151.13 (step @p465 :rule alpha_equiv :args (@t409 @t153 @t404)) % 150.83/151.13 (step @p466 :rule cong :premises (@p465) :args (@t410)) % 150.83/151.13 (step @p467 :rule ho_cong :premises (@p466 @p54)) % 150.83/151.13 (step @p468 :rule trans :premises (@p467 @p464)) % 150.83/151.13 (step @p469 :rule nary_cong :premises (@p262 @p468) :args (@t411)) % 150.83/151.13 (step @p470 :rule cong :premises (@p469) :args (@t412)) % 150.83/151.13 (step @p471 :rule trans :premises (@p470 @p463)) % 150.83/151.13 (step @p472 :rule cong :premises (@p471) :args (@t413)) % 150.83/151.13 (step @p473 :rule beta-reduce :args ((= (_ @t272 @t410) @t413))) % 150.83/151.13 (step @p474 :rule trans :premises (@p473 @p472)) % 150.83/151.13 (step @p475 :rule beta-reduce :args ((= (_ @t272 @t1) @t410))) % 150.83/151.13 (step @p476 :rule ho_cong :premises (@p218 @p314)) % 150.83/151.13 (step @p477 :rule trans :premises (@p476 @p475)) % 150.83/151.13 (step @p478 :rule ho_cong :premises (@p218 @p477)) % 150.83/151.13 (step @p479 :rule trans :premises (@p478 @p474)) % 150.83/151.13 (step @p480 :rule refl :args (@t323)) % 150.83/151.13 (step @p481 :rule beta-reduce :args ((= @t414 @t386))) % 150.83/151.13 (step @p482 :rule cong :premises (@p481) :args (@t415)) % 150.83/151.13 (step @p483 :rule nary_cong :premises (@p482 @p480) :args (@t416)) % 150.83/151.13 (step @p484 :rule cong :premises (@p483) :args (@t417)) % 150.83/151.13 (step @p485 :rule beta-reduce :args ((= (_ @t327 @t410) @t417))) % 150.83/151.13 (step @p486 :rule trans :premises (@p485 @p484)) % 150.83/151.13 (step @p487 :rule refl :args (@t327)) % 150.83/151.13 (step @p488 :rule ho_cong :premises (@p487 @p477)) % 150.83/151.13 (step @p489 :rule trans :premises (@p488 @p486)) % 150.83/151.13 (step @p490 :rule ho_cong :premises (@p489 @p479)) % 150.83/151.13 (step @p491 :rule trans :premises (@p490 @p452)) % 150.83/151.13 (step @p492 :rule refl :args (@t337)) % 150.83/151.13 (step @p493 :rule ho_cong :premises (@p492 @p491)) % 150.83/151.13 (step @p494 :rule trans :premises (@p493 @p446)) % 150.83/151.13 (step @p495 :rule cong :premises (@p494) :args ((forall @t5 (_ @t337 (_ @t419 (_ @t275 @t418)))))) % 150.83/151.13 (step @p496 :rule trans :premises (@p495 @p429)) % 150.83/151.13 (step @p497 :rule ho_cong :premises (@p242 @p314)) % 150.83/151.13 (step @p498 :rule ho_cong :premises (@p242 @p497)) % 150.83/151.13 (step @p499 :rule ho_cong :premises (@p391 @p497)) % 150.83/151.13 (step @p500 :rule ho_cong :premises (@p499 @p498)) % 150.83/151.13 (step @p501 :rule ho_cong :premises (@p409 @p500)) % 150.83/151.13 (step @p502 :rule cong :premises (@p501) :args (@t10)) % 150.83/151.13 (step @p503 :rule trans :premises (@p502 @p496)) % 150.83/151.13 (step @p504 :rule trans :premises (@p503 @p428)) % 150.83/151.13 (step @p505 :rule eq_resolve :premises (@p5 @p504)) % 150.83/151.13 (step @p506 :rule instantiate :premises (@p505) :args ((@list @t344 @t349 @t346 @t342))) % 150.83/151.13 (step @p507 :rule cnf_or_neg :args (@t359 6)) % 150.83/151.13 (step @p508 :rule chain_m_resolution :premises (@p507 @p420) :args ((not @t345) @t360 @t361)) % 150.83/151.13 (step @p509 :rule bool-double-not-elim :args (@t347)) % 150.83/151.13 (step @p510 :rule nary_cong :premises (@p422 @p509) :args ((or @t359 (not @t348)))) % 150.83/151.13 (step @p511 :rule cnf_or_neg :args (@t359 5)) % 150.83/151.13 (step @p512 :rule eq_resolve :premises (@p511 @p510)) % 150.83/151.13 (step @p513 :rule reordering :premises (@p512) :args ((or @t347 @t359))) % 150.83/151.13 (step @p514 :rule chain_m_resolution :premises (@p513 @p420) :args (@t347 @t360 @t361)) % 150.83/151.13 (step @p515 :rule bool-double-not-elim :args (@t351)) % 150.83/151.13 (step @p516 :rule nary_cong :premises (@p422 @p515) :args ((or @t359 (not @t352)))) % 150.83/151.13 (step @p517 :rule cnf_or_neg :args (@t359 4)) % 150.83/151.13 (step @p518 :rule eq_resolve :premises (@p517 @p516)) % 150.83/151.13 (step @p519 :rule reordering :premises (@p518) :args ((or @t351 @t359))) % 150.83/151.13 (step @p520 :rule chain_m_resolution :premises (@p519 @p420) :args (@t351 @t360 @t361)) % 150.83/151.13 (step @p521 :rule cnf_or_pos :args (@t422)) % 150.83/151.13 (step @p522 :rule reordering :premises (@p521) :args ((or @t352 @t348 @t345 @t421 (not @t422)))) % 150.83/151.13 (step @p523 :rule chain_m_resolution :premises (@p522 @p520 @p514 @p508 @p506) :args (@t421 (@list false false true false) (@list @t351 @t347 @t345 @t422))) % 150.83/151.13 (step @p524 :rule skolemize :premises (@p523)) % 150.83/151.13 (step @p525 :rule cnf_or_neg :args (@t427 1)) % 150.83/151.13 (step @p526 :rule chain_m_resolution :premises (@p525 @p524) :args ((not @t424) @t360 @t428)) % 150.83/151.13 (step @p527 :rule bool-double-not-elim :args (@t425)) % 150.83/151.13 (step @p528 :rule refl :args (@t427)) % 150.83/151.13 (step @p529 :rule nary_cong :premises (@p528 @p527) :args ((or @t427 (not @t426)))) % 150.83/151.13 (step @p530 :rule cnf_or_neg :args (@t427 0)) % 150.83/151.13 (step @p531 :rule eq_resolve :premises (@p530 @p529)) % 150.83/151.13 (step @p532 :rule reordering :premises (@p531) :args ((or @t425 @t427))) % 150.83/151.13 (step @p533 :rule chain_m_resolution :premises (@p532 @p524) :args (@t425 @t360 @t428)) % 150.83/151.13 ; trust TRUST PREPROCESS_HO_ELIM % 150.83/151.13 (step @p534 :rule trust :premises () :args ((= @t431 @t429))) % 150.83/151.13 (step @p535 :rule quant-merge-prenex :args ((= (forall @t5 (forall @t61 @t430)) @t431))) % 150.83/151.13 (step @p536 :rule refl :args (@t128)) % 150.83/151.13 (step @p537 :rule refl :args (@t432)) % 150.83/151.13 (step @p538 :rule cong :premises (@p537 @p536) :args ((= @t432 @t128))) % 150.83/151.13 (step @p539 :rule symm :premises (@p538)) % 150.83/151.13 (step @p540 :rule eq_resolve :premises (@p537 @p539)) % 150.83/151.13 (step @p541 :rule nary_cong :premises (@p434 @p540) :args (@t433)) % 150.83/151.13 (step @p542 :rule cong :premises (@p541) :args ((forall @t61 @t433))) % 150.83/151.13 (step @p543 :rule beta-reduce :args ((= @t435 @t433))) % 150.83/151.13 (step @p544 :rule cong :premises (@p543) :args (@t436)) % 150.83/151.13 (step @p545 :rule trans :premises (@p544 @p542)) % 150.83/151.13 (step @p546 :rule beta-reduce :args ((= (_ @t337 @t434) @t436))) % 150.83/151.13 (step @p547 :rule trans :premises (@p546 @p545)) % 150.83/151.13 (step @p548 :rule beta-reduce :args ((= (_ @t396 @t1) @t434))) % 150.83/151.13 (step @p549 :rule ho_cong :premises (@p489 @p314)) % 150.83/151.13 (step @p550 :rule trans :premises (@p549 @p548)) % 150.83/151.13 (step @p551 :rule ho_cong :premises (@p492 @p550)) % 150.83/151.13 (step @p552 :rule trans :premises (@p551 @p547)) % 150.83/151.13 (step @p553 :rule cong :premises (@p552) :args ((forall @t5 (_ @t337 (_ @t419 @t1))))) % 150.83/151.13 (step @p554 :rule trans :premises (@p553 @p535)) % 150.83/151.13 (step @p555 :rule ho_cong :premises (@p499 @p314)) % 150.83/151.13 (step @p556 :rule ho_cong :premises (@p409 @p555)) % 150.83/151.13 (step @p557 :rule cong :premises (@p556) :args (@t6)) % 150.83/151.13 (step @p558 :rule trans :premises (@p557 @p554)) % 150.83/151.13 (step @p559 :rule trans :premises (@p558 @p534)) % 150.83/151.13 (step @p560 :rule eq_resolve :premises (@p3 @p559)) % 150.83/151.13 (step @p561 :rule aci_norm :args ((= (or false @t437) @t437))) % 150.83/151.13 (step @p562 :rule refl :args (@t437)) % 150.83/151.13 (step @p563 :rule evaluate :args ((not true))) % 150.83/151.13 (step @p564 :rule quant-unused-vars :args ((= (forall @t46 true) true))) % 150.83/151.13 (step @p565 :rule bool-or-taut2 :args (false @t438 false false)) % 150.83/151.13 (step @p566 :rule cong :premises (@p565) :args (@t439)) % 150.83/151.13 (step @p567 :rule trans :premises (@p566 @p564)) % 150.83/151.13 (step @p568 :rule cong :premises (@p567) :args (@t440)) % 150.83/151.13 (step @p569 :rule trans :premises (@p568 @p563)) % 150.83/151.13 (step @p570 :rule nary_cong :premises (@p569 @p562) :args (@t441)) % 150.83/151.13 (step @p571 :rule trans :premises (@p570 @p561)) % 150.83/151.13 (step @p572 :rule refl :args (@t429)) % 150.83/151.13 (step @p573 :rule cong :premises (@p572 @p571) :args ((=> @t429 @t441))) % 150.83/151.13 (assume-push @p602 @t429) % 150.83/151.13 (step @p575 :rule instantiate :premises (@p560) :args ((@list @t340 @t339))) % 150.83/151.13 (step-pop @p603 :rule scope :premises (@p575)) % 150.83/151.13 (step @p576 :rule process_scope :premises (@p603) :args (@t441)) % 150.83/151.13 (step @p578 :rule eq_resolve :premises (@p576 @p573)) % 150.83/151.13 (step @p579 :rule implies_elim :premises (@p578)) % 150.83/151.13 (step @p580 :rule chain_m_resolution :premises (@p579 @p560) :args (@t437 (@list false) (@list @t429))) % 150.83/151.13 (step @p581 :rule bool-double-not-elim :args (@t354)) % 150.83/151.13 (step @p582 :rule nary_cong :premises (@p422 @p581) :args ((or @t359 (not @t355)))) % 150.83/151.13 (step @p583 :rule cnf_or_neg :args (@t359 3)) % 150.83/151.13 (step @p584 :rule eq_resolve :premises (@p583 @p582)) % 150.83/151.13 (step @p585 :rule reordering :premises (@p584) :args ((or @t354 @t359))) % 150.83/151.13 (step @p586 :rule chain_m_resolution :premises (@p585 @p420) :args (@t354 @t360 @t361)) % 150.83/151.13 (step @p587 :rule bool-double-not-elim :args (@t356)) % 150.83/151.13 (step @p588 :rule nary_cong :premises (@p422 @p587) :args ((or @t359 (not @t357)))) % 150.83/151.13 (step @p589 :rule cnf_or_neg :args (@t359 2)) % 150.83/151.13 (step @p590 :rule eq_resolve :premises (@p589 @p588)) % 150.83/151.13 (step @p591 :rule reordering :premises (@p590) :args ((or @t356 @t359))) % 150.83/151.13 (step @p592 :rule chain_m_resolution :premises (@p591 @p420) :args (@t356 @t360 @t361)) % 150.83/151.13 (step @p593 :rule cnf_or_pos :args (@t443)) % 150.83/151.13 (step @p594 :rule reordering :premises (@p593) :args ((or @t357 @t355 @t442 @t426 @t424 @t444))) % 150.83/151.13 (step @p595 :rule chain_m_resolution :premises (@p594 @p592 @p586 @p580 @p533 @p526) :args (@t444 (@list false false false false true) (@list @t356 @t354 @t437 @t425 @t424))) % 150.83/151.13 (assume-push @p604 @t341) % 150.83/151.13 (step @p597 :rule instantiate :premises (@p427) :args ((@list @t339 @t343 @t353 @t349 @t423))) % 150.83/151.13 (step-pop @p605 :rule scope :premises (@p597)) % 150.83/151.13 (step @p598 :rule process_scope :premises (@p605) :args (@t443)) % 150.83/151.13 (step @p600 :rule implies_elim :premises (@p598)) % 150.83/151.13 (step @p601 false :rule chain_m_resolution :premises (@p600 @p595 @p427) :args (false (@list true false) (@list @t443 @t341))) % 150.83/151.13 ) % 150.83/151.13 % SZS output end Proof % 150.83/151.13 % cvc5 exiting %------------------------------------------------------------------------------