%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV443^1 : 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 : n010.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 09:01:33 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV443^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n010.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 20:19:10 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.51 %----Proving TH0 % 0.37/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-sort tptp.individuals 0) % 0.37/0.62 (declare-const tptp.reli (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.relr (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.princ_inj (-> tptp.individuals $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.bl_valid (-> (-> $$unsorted Bool) Bool)) % 0.37/0.62 (declare-const tptp.bl_false (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.loca tptp.individuals) % 0.37/0.62 (declare-const tptp.bl_true (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.cs4_false (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.cs4_true (-> $$unsorted Bool)) % 0.37/0.62 (define tptp.mfalse () (lambda (@list (@var "X" $$unsorted)) false)) % 0.37/0.62 (define tptp.mtrue () (lambda (@list (@var "X" $$unsorted)) true)) % 0.37/0.62 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.37/0.62 (define tptp.mor () (let ((_let_1 (@var "U" $$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))))))) % 0.37/0.62 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.62 (define tptp.mimpl () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.62 (define tptp.miff () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "U" (-> $$unsorted Bool)))) (let ((_let_3 (@var "V" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimpl _let_2) _let_3)) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 0.37/0.62 (define tptp.mbox () (let ((_let_1 (@var "Y" $$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))))))))) % 0.37/0.62 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.37/0.62 (define tptp.mall () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.37/0.62 (define tptp.mexists () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.37/0.62 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.62 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.37/0.62 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.62 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.37/0.62 (define tptp.cs4_atom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.reli) _let_2) _let_1))))) % 0.37/0.62 (define tptp.cs4_and () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.62 (define tptp.cs4_or () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor _let_3) _let_2) _let_1)))))) % 0.37/0.62 (define tptp.cs4_impl () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.37/0.62 (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))))) % 0.37/0.62 (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))))) % 0.37/0.62 (define tptp.cs4_valid () (let ((_let_1 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_1) (_ tptp.mvalid _let_1)))) % 0.37/0.62 (define tptp.bl_atom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.cs4_atom _let_2) _let_1))))) % 0.37/0.62 (define tptp.bl_princ () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.cs4_atom _let_2) _let_1))))) % 0.37/0.62 (define tptp.bl_and () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.cs4_and _let_3) _let_2) _let_1)))))) % 0.37/0.62 (define tptp.bl_or () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.cs4_or _let_3) _let_2) _let_1)))))) % 0.37/0.62 (define tptp.bl_impl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.cs4_impl _let_3) _let_2) _let_1)))))) % 0.37/0.62 (define tptp.bl_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.cs4_all _let_2) _let_1))))) % 0.37/0.62 (define tptp.bl_says () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "A" (-> $$unsorted Bool)))) (let ((_let_3 (@var "K" tptp.individuals))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.cs4_box (_ (_ tptp.cs4_impl (_ tptp.bl_princ (_ tptp.princ_inj _let_3))) _let_2)) _let_1)))))) % 0.37/0.62 (define @t1 () (@var "A" (-> $$unsorted Bool))) % 0.37/0.62 (define @t2 () (_ tptp.mbox tptp.reli)) % 0.37/0.62 (define @t3 () (_ @t2 @t1)) % 0.37/0.62 (define @t4 () (_ tptp.mimpl @t3)) % 0.37/0.62 (define @t5 () (@list @t1)) % 0.37/0.62 (define @t6 () (_ tptp.mbox tptp.relr)) % 0.37/0.62 (define @t7 () (_ @t6 @t1)) % 0.37/0.62 (define @t8 () (_ tptp.mimpl @t7)) % 0.37/0.62 (define @t9 () (_ @t2 @t7)) % 0.37/0.62 (define @t10 () (= tptp.bl_valid tptp.mvalid)) % 0.37/0.62 (define @t11 () (@var "__flatten_var_0" $$unsorted)) % 0.37/0.62 (define @t12 () (@var "K" tptp.individuals)) % 0.37/0.62 (define @t13 () (_ tptp.princ_inj @t12)) % 0.37/0.62 (define @t14 () (_ (_ tptp.bl_says @t12) (_ tptp.bl_atom @t1))) % 0.37/0.62 (define @t15 () (@list @t12 @t1)) % 0.37/0.62 (define @t16 () (forall @t15 (_ tptp.bl_valid (_ (_ tptp.bl_impl @t14) @t14)))) % 0.37/0.62 (define @t17 () (not @t16)) % 0.37/0.62 (define @t18 () (@var "X" $$unsorted)) % 0.37/0.62 (define @t19 () (@list @t18)) % 0.37/0.62 (define @t20 () (lambda @t19 false)) % 0.37/0.62 (define @t21 () (lambda @t19 true)) % 0.37/0.62 (define @t22 () (@var "U" $$unsorted)) % 0.37/0.62 (define @t23 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.62 (define @t24 () (_ @t23 @t22)) % 0.37/0.62 (define @t25 () (lambda (@list @t23 @t22) (not @t24))) % 0.37/0.62 (define @t26 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.62 (define @t27 () (_ @t26 @t22)) % 0.37/0.62 (define @t28 () (@list @t23 @t26 @t22)) % 0.37/0.62 (define @t29 () (lambda @t28 (or @t24 @t27))) % 0.37/0.62 (define @t30 () (lambda @t28 (and @t24 @t27))) % 0.37/0.62 (define @t31 () (@var "V" (-> $$unsorted Bool))) % 0.37/0.62 (define @t32 () (@var "U" (-> $$unsorted Bool))) % 0.37/0.62 (define @t33 () (@list @t32 @t31 @t11)) % 0.37/0.62 (define @t34 () (lambda @t33 (_ (_ (_ tptp.mor (_ tptp.mnot @t32)) @t31) @t11))) % 0.37/0.62 (define @t35 () (lambda @t33 (_ (_ (_ tptp.mand (_ (_ tptp.mimpl @t32) @t31)) (_ (_ tptp.mimpl @t31) @t32)) @t11))) % 0.37/0.62 (define @t36 () (@var "Y" $$unsorted)) % 0.37/0.62 (define @t37 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.62 (define @t38 () (_ @t37 @t36)) % 0.37/0.62 (define @t39 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.62 (define @t40 () (_ (_ @t39 @t18) @t36)) % 0.37/0.62 (define @t41 () (@list @t36)) % 0.37/0.62 (define @t42 () (forall @t41 (=> @t40 @t38))) % 0.37/0.62 (define @t43 () (@list @t39 @t37 @t18)) % 0.37/0.62 (define @t44 () (lambda @t43 @t42)) % 0.37/0.62 (define @t45 () (lambda @t43 (exists @t41 (and @t40 @t38)))) % 0.37/0.62 (define @t46 () (@var "W" $$unsorted)) % 0.37/0.62 (define @t47 () (@var "X" tptp.individuals)) % 0.37/0.62 (define @t48 () (@var "P" (-> tptp.individuals $$unsorted Bool))) % 0.37/0.62 (define @t49 () (_ (_ @t48 @t47) @t46)) % 0.37/0.62 (define @t50 () (@list @t47)) % 0.37/0.62 (define @t51 () (@list @t48 @t46)) % 0.37/0.62 (define @t52 () (lambda @t51 (forall @t50 @t49))) % 0.37/0.62 (define @t53 () (lambda @t51 (exists @t50 @t49))) % 0.37/0.62 (define @t54 () (_ @t37 @t46)) % 0.37/0.62 (define @t55 () (@list @t46)) % 0.37/0.62 (define @t56 () (forall @t55 @t54)) % 0.37/0.62 (define @t57 () (@list @t37)) % 0.37/0.62 (define @t58 () (lambda @t57 @t56)) % 0.37/0.62 (define @t59 () (lambda @t57 (exists @t55 @t54))) % 0.37/0.62 (define @t60 () (not @t54)) % 0.37/0.62 (define @t61 () (lambda @t57 (exists @t55 @t60))) % 0.37/0.62 (define @t62 () (lambda @t57 (forall @t55 @t60))) % 0.37/0.62 (define @t63 () (@list @t37 @t11)) % 0.37/0.62 (define @t64 () (lambda @t63 (_ (_ @t2 @t37) @t11))) % 0.37/0.62 (define @t65 () (@var "B" (-> $$unsorted Bool))) % 0.37/0.62 (define @t66 () (@list @t1 @t65 @t11)) % 0.37/0.62 (define @t67 () (lambda @t66 (_ (_ (_ tptp.mand @t1) @t65) @t11))) % 0.37/0.62 (define @t68 () (lambda @t66 (_ (_ (_ tptp.mor @t1) @t65) @t11))) % 0.37/0.62 (define @t69 () (lambda @t66 (_ (_ @t2 (_ (_ tptp.mimpl @t1) @t65)) @t11))) % 0.37/0.62 (define @t70 () (@var "A" (-> tptp.individuals $$unsorted Bool))) % 0.37/0.62 (define @t71 () (@list @t70 @t11)) % 0.37/0.62 (define @t72 () (lambda @t71 (_ (_ @t2 (_ tptp.mall @t70)) @t11))) % 0.37/0.62 (define @t73 () (@list @t1 @t11)) % 0.37/0.62 (define @t74 () (lambda @t73 (_ @t9 @t11))) % 0.37/0.62 (define @t75 () (lambda @t5 (_ tptp.mvalid @t1))) % 0.37/0.62 (define @t76 () (lambda @t63 (_ (_ tptp.cs4_atom @t37) @t11))) % 0.37/0.62 (define @t77 () (lambda @t66 (_ (_ (_ tptp.cs4_and @t1) @t65) @t11))) % 0.37/0.62 (define @t78 () (lambda @t66 (_ (_ (_ tptp.cs4_or @t1) @t65) @t11))) % 0.37/0.62 (define @t79 () (lambda @t66 (_ (_ (_ tptp.cs4_impl @t1) @t65) @t11))) % 0.37/0.62 (define @t80 () (lambda @t71 (_ (_ tptp.cs4_all @t70) @t11))) % 0.37/0.62 (define @t81 () (@list @t12 @t1 @t11)) % 0.37/0.62 (define @t82 () (lambda @t81 (_ (_ tptp.cs4_box (_ (_ tptp.cs4_impl (_ tptp.bl_princ @t13)) @t1)) @t11))) % 0.37/0.62 (define @t83 () (@var "BOUND_VARIABLE_8777" $$unsorted)) % 0.37/0.62 (define @t84 () (lambda (@list @t83) true)) % 0.37/0.62 (define @t85 () (_ @t84 @t46)) % 0.37/0.62 (define @t86 () (forall @t55 @t85)) % 0.37/0.62 (define @t87 () (_ @t37 @t46)) % 0.37/0.62 (define @t88 () (lambda @t57 (forall @t55 @t87))) % 0.37/0.62 (define @t89 () (_ @t88 @t84)) % 0.37/0.62 (define @t90 () (_ tptp.bl_valid @t84)) % 0.37/0.62 (define @t91 () (@list @t11)) % 0.37/0.62 (define @t92 () (not (tptp.reli @t11 @t36))) % 0.37/0.62 (define @t93 () (@var "BOUND_VARIABLE_8717" $$unsorted)) % 0.37/0.62 (define @t94 () (_ @t1 @t93)) % 0.37/0.62 (define @t95 () (@var "BOUND_VARIABLE_8189" $$unsorted)) % 0.37/0.62 (define @t96 () (not (tptp.reli @t95 @t93))) % 0.37/0.62 (define @t97 () (@var "BOUND_VARIABLE_8140" $$unsorted)) % 0.37/0.62 (define @t98 () (tptp.princ_inj @t12 @t97)) % 0.37/0.62 (define @t99 () (@list @t97)) % 0.37/0.62 (define @t100 () (not (forall @t99 (or (not (tptp.reli @t95 @t97)) @t98)))) % 0.37/0.62 (define @t101 () (@var "BOUND_VARIABLE_7941" $$unsorted)) % 0.37/0.62 (define @t102 () (not (tptp.reli @t101 @t95))) % 0.37/0.62 (define @t103 () (@var "BOUND_VARIABLE_8735" $$unsorted)) % 0.37/0.62 (define @t104 () (not (tptp.relr @t103 @t101))) % 0.37/0.62 (define @t105 () (@list @t103 @t101 @t95 @t93)) % 0.37/0.62 (define @t106 () (forall @t105 (or (not (tptp.reli @t36 @t103)) @t104 @t102 @t100 @t96 @t94))) % 0.37/0.62 (define @t107 () (not @t106)) % 0.37/0.62 (define @t108 () (not (tptp.relr @t36 @t101))) % 0.37/0.62 (define @t109 () (or @t92 @t108 @t102 @t100 @t96 @t94)) % 0.37/0.62 (define @t110 () (@list @t36 @t101 @t95 @t93)) % 0.37/0.62 (define @t111 () (forall @t110 @t109)) % 0.37/0.62 (define @t112 () (@list @t36)) % 0.37/0.62 (define @t113 () (lambda @t91 @t111)) % 0.37/0.62 (define @t114 () (_ @t113 @t36)) % 0.37/0.62 (define @t115 () (or @t92 @t107 @t114)) % 0.37/0.62 (define @t116 () (forall @t41 @t115)) % 0.37/0.62 (define @t117 () (lambda @t91 @t116)) % 0.37/0.62 (define @t118 () (_ @t65 @t36)) % 0.37/0.62 (define @t119 () (@list @t65 @t11)) % 0.37/0.62 (define @t120 () (or @t96 @t94)) % 0.37/0.62 (define @t121 () (or @t92 @t108 @t102 @t100 @t120)) % 0.37/0.62 (define @t122 () (forall @t110 @t121)) % 0.37/0.62 (define @t123 () (@list @t93)) % 0.37/0.62 (define @t124 () (forall @t123 @t121)) % 0.37/0.62 (define @t125 () (@list @t36 @t101 @t95)) % 0.37/0.62 (define @t126 () (forall @t123 @t120)) % 0.37/0.62 (define @t127 () (@var "BOUND_VARIABLE_8707" $$unsorted)) % 0.37/0.62 (define @t128 () (@list @t127)) % 0.37/0.62 (define @t129 () (or @t92 @t108 @t102 @t100 @t126)) % 0.37/0.62 (define @t130 () (_ @t1 @t36)) % 0.37/0.62 (define @t131 () (forall @t41 (or (not (tptp.reli @t95 @t36)) @t130))) % 0.37/0.62 (define @t132 () (or @t92 @t108 @t102 @t100 @t131)) % 0.37/0.62 (define @t133 () (lambda @t91 (forall @t41 (or @t92 @t130)))) % 0.37/0.62 (define @t134 () (_ @t133 @t95)) % 0.37/0.62 (define @t135 () (or @t92 @t108 @t102 @t100 @t134)) % 0.37/0.62 (define @t136 () (forall @t125 @t135)) % 0.37/0.62 (define @t137 () (lambda @t91 @t136)) % 0.37/0.62 (define @t138 () (_ @t1 @t95)) % 0.37/0.62 (define @t139 () (or @t92 @t108 @t102 @t100 @t138)) % 0.37/0.62 (define @t140 () (forall @t125 @t139)) % 0.37/0.62 (define @t141 () (lambda @t73 @t140)) % 0.37/0.62 (define @t142 () (_ @t37 @t36)) % 0.37/0.62 (define @t143 () (forall @t41 (or @t92 @t142))) % 0.37/0.62 (define @t144 () (lambda @t63 @t143)) % 0.37/0.62 (define @t145 () (_ @t144 @t1)) % 0.37/0.62 (define @t146 () (_ (lambda @t81 @t140) @t12)) % 0.37/0.62 (define @t147 () (not @t114)) % 0.37/0.62 (define @t148 () (or @t92 @t147 @t118)) % 0.37/0.62 (define @t149 () (forall @t41 @t148)) % 0.37/0.62 (define @t150 () (lambda @t119 @t149)) % 0.37/0.62 (define @t151 () (not @t130)) % 0.37/0.62 (define @t152 () (forall @t41 (or @t92 @t151 @t118))) % 0.37/0.62 (define @t153 () (lambda @t66 @t152)) % 0.37/0.62 (define @t154 () (_ @t146 @t145)) % 0.37/0.62 (define @t155 () (forall @t15 (_ tptp.bl_valid (_ (_ @t153 @t154) @t154)))) % 0.37/0.62 (define @t156 () (lambda @t91 @t143)) % 0.37/0.62 (define @t157 () (not (tptp.reli @t18 @t36))) % 0.37/0.62 (define @t158 () (forall @t41 (or @t157 @t142))) % 0.37/0.62 (define @t159 () (lambda @t19 @t158)) % 0.37/0.62 (define @t160 () (@list @t37 @t18)) % 0.37/0.62 (define @t161 () (lambda @t160 @t158)) % 0.37/0.62 (define @t162 () (_ @t39 @t18 @t36)) % 0.37/0.62 (define @t163 () (lambda @t43 (forall @t41 (or (not @t162) @t142)))) % 0.37/0.62 (define @t164 () (not @t40)) % 0.37/0.62 (define @t165 () (or @t164 @t38)) % 0.37/0.62 (define @t166 () (or @t102 @t100 @t138)) % 0.37/0.62 (define @t167 () (or @t92 @t108 @t166)) % 0.37/0.62 (define @t168 () (forall @t125 @t167)) % 0.37/0.62 (define @t169 () (@list @t95)) % 0.37/0.62 (define @t170 () (forall @t169 @t167)) % 0.37/0.62 (define @t171 () (@list @t36 @t101)) % 0.37/0.62 (define @t172 () (forall @t169 @t166)) % 0.37/0.62 (define @t173 () (@var "BOUND_VARIABLE_8174" $$unsorted)) % 0.37/0.62 (define @t174 () (@list @t173)) % 0.37/0.62 (define @t175 () (or @t92 @t108 @t172)) % 0.37/0.62 (define @t176 () (forall @t99 (or (not (tptp.reli @t36 @t97)) @t98))) % 0.37/0.62 (define @t177 () (not @t176)) % 0.37/0.62 (define @t178 () (forall @t41 (or (not (tptp.reli @t101 @t36)) @t177 @t130))) % 0.37/0.62 (define @t179 () (or @t92 @t108 @t178)) % 0.37/0.62 (define @t180 () (lambda @t91 (forall @t41 (or @t92 @t177 @t130)))) % 0.37/0.62 (define @t181 () (_ @t180 @t101)) % 0.37/0.62 (define @t182 () (or @t92 @t108 @t181)) % 0.37/0.62 (define @t183 () (forall @t171 @t182)) % 0.37/0.62 (define @t184 () (lambda @t91 @t183)) % 0.37/0.62 (define @t185 () (_ @t1 @t101)) % 0.37/0.62 (define @t186 () (forall @t171 (or @t92 @t108 @t185))) % 0.37/0.62 (define @t187 () (lambda @t73 @t186)) % 0.37/0.62 (define @t188 () (tptp.princ_inj @t12 @t36)) % 0.37/0.62 (define @t189 () (forall @t41 (or @t92 @t188))) % 0.37/0.62 (define @t190 () (lambda @t91 @t189)) % 0.37/0.62 (define @t191 () (not (_ @t190 @t36))) % 0.37/0.62 (define @t192 () (or @t92 @t191 @t118)) % 0.37/0.62 (define @t193 () (forall @t41 @t192)) % 0.37/0.62 (define @t194 () (lambda @t119 @t193)) % 0.37/0.62 (define @t195 () (_ @t13 @t36)) % 0.37/0.62 (define @t196 () (or @t92 @t195)) % 0.37/0.62 (define @t197 () (_ @t13 @t36)) % 0.37/0.62 (define @t198 () (or @t92 @t197)) % 0.37/0.62 (define @t199 () (forall @t41 @t198)) % 0.37/0.62 (define @t200 () (lambda @t91 @t199)) % 0.37/0.62 (define @t201 () (_ @t65 @t36)) % 0.37/0.62 (define @t202 () (_ @t1 @t36)) % 0.37/0.62 (define @t203 () (not @t202)) % 0.37/0.62 (define @t204 () (or @t157 @t203 @t201)) % 0.37/0.62 (define @t205 () (or @t203 @t201)) % 0.37/0.62 (define @t206 () (not (_ @t1 @t11))) % 0.37/0.62 (define @t207 () (lambda @t91 (or @t206 (_ @t65 @t11)))) % 0.37/0.62 (define @t208 () (_ @t207 @t36)) % 0.37/0.62 (define @t209 () (or @t157 @t208)) % 0.37/0.62 (define @t210 () (forall @t41 @t209)) % 0.37/0.62 (define @t211 () (lambda @t19 @t210)) % 0.37/0.62 (define @t212 () (_ @t31 @t11)) % 0.37/0.62 (define @t213 () (lambda (@list @t31 @t11) (or @t206 @t212))) % 0.37/0.62 (define @t214 () (or (not (_ @t32 @t11)) @t212)) % 0.37/0.62 (define @t215 () (not (_ @t32 @t22))) % 0.37/0.62 (define @t216 () (@list @t22)) % 0.37/0.62 (define @t217 () (lambda @t216 (or @t215 (_ @t31 @t22)))) % 0.37/0.62 (define @t218 () (@list @t26 @t22)) % 0.37/0.62 (define @t219 () (lambda @t216 @t215)) % 0.37/0.62 (define @t220 () (_ @t219 @t22)) % 0.37/0.62 (define @t221 () (or @t220 @t27)) % 0.37/0.62 (define @t222 () (lambda @t218 @t221)) % 0.37/0.62 (define @t223 () (or @t157 @t108 @t185)) % 0.37/0.62 (define @t224 () (or @t108 @t185)) % 0.37/0.62 (define @t225 () (or @t157 @t224)) % 0.37/0.62 (define @t226 () (forall @t171 @t225)) % 0.37/0.62 (define @t227 () (@list @t101)) % 0.37/0.62 (define @t228 () (forall @t227 @t225)) % 0.37/0.62 (define @t229 () (forall @t227 @t224)) % 0.37/0.62 (define @t230 () (@var "BOUND_VARIABLE_7925" $$unsorted)) % 0.37/0.62 (define @t231 () (@list @t230)) % 0.37/0.62 (define @t232 () (or @t157 @t229)) % 0.37/0.62 (define @t233 () (_ @t1 @t230)) % 0.37/0.62 (define @t234 () (@list @t230)) % 0.37/0.62 (define @t235 () (forall @t234 (or (not (tptp.relr @t36 @t230)) @t233))) % 0.37/0.62 (define @t236 () (not (tptp.relr @t18 @t36))) % 0.37/0.62 (define @t237 () (forall @t41 (or @t236 @t130))) % 0.37/0.62 (define @t238 () (lambda @t19 @t237)) % 0.37/0.62 (define @t239 () (or @t157 (_ @t238 @t36))) % 0.37/0.62 (define @t240 () (forall @t41 @t239)) % 0.37/0.62 (define @t241 () (lambda @t19 @t240)) % 0.37/0.62 (define @t242 () (lambda @t160 (forall @t41 (or @t236 @t142)))) % 0.37/0.62 (define @t243 () (lambda @t91 @t152)) % 0.37/0.62 (define @t244 () (lambda @t119 @t152)) % 0.37/0.62 (assume @p1 (= tptp.cs4_true tptp.mtrue)) % 0.37/0.62 (assume @p2 (= tptp.cs4_false tptp.mfalse)) % 0.37/0.62 (assume @p3 (forall @t5 (_ tptp.mvalid (_ @t4 @t1)))) % 0.37/0.62 (assume @p4 (forall @t5 (_ tptp.mvalid (_ @t8 @t1)))) % 0.37/0.62 (assume @p5 (forall @t5 (_ tptp.mvalid (_ @t4 (_ @t2 @t3))))) % 0.37/0.62 (assume @p6 (forall @t5 (_ tptp.mvalid (_ @t8 (_ @t6 @t7))))) % 0.37/0.62 (assume @p7 (forall @t5 (_ tptp.mvalid (_ (_ tptp.mimpl @t9) (_ @t6 @t3))))) % 0.37/0.62 (assume @p8 (= tptp.bl_true tptp.cs4_true)) % 0.37/0.62 (assume @p9 (= tptp.bl_false tptp.cs4_false)) % 0.37/0.62 (assume @p10 @t10) % 0.37/0.62 (assume @p11 (_ tptp.cs4_valid (_ tptp.cs4_all (lambda (@list @t12 @t11) (_ (_ (_ tptp.cs4_impl @t13) (_ tptp.princ_inj tptp.loca)) @t11))))) % 0.37/0.62 (assume @p12 @t17) % 0.37/0.62 (assume @p13 true) % 0.37/0.62 (step @p14 (= tptp.mfalse @t20) :rule refl :args (@t20)) % 0.37/0.62 (step @p15 (= tptp.mtrue @t21) :rule refl :args (@t21)) % 0.37/0.62 (step @p16 (= tptp.mnot @t25) :rule refl :args (@t25)) % 0.37/0.62 (step @p17 (= tptp.mor @t29) :rule refl :args (@t29)) % 0.37/0.62 (step @p18 (= tptp.mand @t30) :rule refl :args (@t30)) % 0.37/0.62 (step @p19 (= tptp.mimpl @t34) :rule refl :args (@t34)) % 0.37/0.62 (step @p20 (= tptp.miff @t35) :rule refl :args (@t35)) % 0.37/0.62 (step @p21 (= tptp.mbox @t44) :rule refl :args (@t44)) % 0.37/0.62 (step @p22 (= tptp.mdia @t45) :rule refl :args (@t45)) % 0.37/0.62 (step @p23 (= tptp.mall @t52) :rule refl :args (@t52)) % 0.37/0.62 (step @p24 (= tptp.mexists @t53) :rule refl :args (@t53)) % 0.37/0.62 (step @p25 (= tptp.mvalid @t58) :rule refl :args (@t58)) % 0.37/0.62 (step @p26 (= tptp.msatisfiable @t59) :rule refl :args (@t59)) % 0.37/0.62 (step @p27 (= tptp.mcountersatisfiable @t61) :rule refl :args (@t61)) % 0.37/0.62 (step @p28 (= tptp.minvalid @t62) :rule refl :args (@t62)) % 0.37/0.62 (step @p29 (= tptp.cs4_atom @t64) :rule refl :args (@t64)) % 0.37/0.62 (step @p30 (= tptp.cs4_and @t67) :rule refl :args (@t67)) % 0.37/0.62 (step @p31 (= tptp.cs4_or @t68) :rule refl :args (@t68)) % 0.37/0.62 (step @p32 (= tptp.cs4_impl @t69) :rule refl :args (@t69)) % 0.37/0.62 (step @p33 (= tptp.cs4_all @t72) :rule refl :args (@t72)) % 0.37/0.62 (step @p34 (= tptp.cs4_box @t74) :rule refl :args (@t74)) % 0.37/0.62 (step @p35 (= tptp.cs4_valid @t75) :rule refl :args (@t75)) % 0.37/0.62 (step @p36 (= tptp.bl_atom @t76) :rule refl :args (@t76)) % 0.37/0.62 (step @p37 (= tptp.bl_princ @t76) :rule refl :args (@t76)) % 0.37/0.62 (step @p38 (= tptp.bl_and @t77) :rule refl :args (@t77)) % 0.37/0.62 (step @p39 (= tptp.bl_or @t78) :rule refl :args (@t78)) % 0.37/0.62 (step @p40 (= tptp.bl_impl @t79) :rule refl :args (@t79)) % 0.37/0.62 (step @p41 (= tptp.bl_all @t80) :rule refl :args (@t80)) % 0.37/0.62 (step @p42 (= tptp.bl_says @t82) :rule refl :args (@t82)) % 0.37/0.62 (step @p43 :rule evaluate :args ((not true))) % 0.37/0.62 (step @p44 :rule quant-unused-vars :args ((= (forall @t55 true) true))) % 0.37/0.62 (step @p45 :rule beta-reduce :args ((= @t85 true))) % 0.37/0.62 (step @p46 :rule cong :premises (@p45) :args (@t86)) % 0.37/0.62 (step @p47 :rule trans :premises (@p46 @p44)) % 0.37/0.62 (step @p48 :rule beta-reduce :args ((= @t89 @t86))) % 0.37/0.62 (step @p49 :rule trans :premises (@p48 @p47)) % 0.37/0.62 (step @p50 :rule cong :premises (@p49) :args ((not @t89))) % 0.37/0.62 (step @p51 :rule trans :premises (@p50 @p43)) % 0.37/0.62 (step @p52 :rule refl :args (@t84)) % 0.37/0.62 (step @p53 :rule eq-symm :args (tptp.bl_valid @t88)) % 0.37/0.62 (step @p54 :rule refl :args (@t87)) % 0.37/0.62 (step @p55 :rule refl :args (@t54)) % 0.37/0.62 (step @p56 :rule cong :premises (@p55 @p54) :args ((= @t54 @t87))) % 0.37/0.62 (step @p57 :rule symm :premises (@p56)) % 0.37/0.62 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.37/0.62 (step @p59 :rule cong :premises (@p58) :args (@t56)) % 0.37/0.62 (step @p60 :rule cong :premises (@p59) :args (@t58)) % 0.37/0.62 (step @p61 :rule trans :premises (@p25 @p60)) % 0.37/0.62 (step @p62 :rule refl :args (tptp.bl_valid)) % 0.37/0.62 (step @p63 :rule cong :premises (@p62 @p61) :args (@t10)) % 0.37/0.62 (step @p64 :rule trans :premises (@p63 @p53)) % 0.37/0.62 (step @p65 :rule eq_resolve :premises (@p10 @p64)) % 0.37/0.62 (step @p66 :rule symm :premises (@p65)) % 0.37/0.62 (step @p67 :rule ho_cong :premises (@p66 @p52)) % 0.37/0.62 (step @p68 :rule cong :premises (@p67) :args ((not @t90))) % 0.37/0.62 (step @p69 :rule trans :premises (@p68 @p51)) % 0.37/0.62 (step @p70 :rule quant-unused-vars :args ((= (forall @t15 @t90) @t90))) % 0.37/0.62 (step @p71 :rule refl :args (@t84)) % 0.37/0.62 (step @p72 :rule symm :premises (@p71)) % 0.37/0.62 (step @p73 :rule alpha_equiv :args ((lambda @t91 true) (@list @t11) (@list @t83))) % 0.37/0.62 (step @p74 :rule trans :premises (@p73 @p72)) % 0.37/0.62 (step @p75 :rule quant-unused-vars :args ((= (forall @t41 true) true))) % 0.37/0.62 (step @p76 :rule bool-or-taut2 :args ((or @t92) @t106 false false)) % 0.37/0.62 (step @p77 :rule cong :premises (@p76) :args ((forall @t41 (or @t92 @t107 @t106)))) % 0.37/0.62 (step @p78 :rule trans :premises (@p77 @p75)) % 0.37/0.62 (step @p79 :rule beta-reduce :args ((= (_ (lambda @t91 (forall @t105 (or (not (tptp.reli @t11 @t103)) @t104 @t102 @t100 @t96 @t94))) @t36) @t106))) % 0.37/0.62 (step @p80 :rule refl :args (@t36)) % 0.37/0.62 (step @p81 :rule alpha_equiv :args (@t111 @t112 (@list @t103))) % 0.37/0.62 (step @p82 :rule cong :premises (@p81) :args (@t113)) % 0.37/0.62 (step @p83 :rule ho_cong :premises (@p82 @p80)) % 0.37/0.62 (step @p84 :rule trans :premises (@p83 @p79)) % 0.37/0.62 (step @p85 :rule refl :args (@t107)) % 0.37/0.62 (step @p86 :rule refl :args (@t92)) % 0.37/0.62 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84) :args (@t115)) % 0.37/0.62 (step @p88 :rule cong :premises (@p87) :args (@t116)) % 0.37/0.62 (step @p89 :rule trans :premises (@p88 @p78)) % 0.37/0.62 (step @p90 :rule cong :premises (@p89) :args (@t117)) % 0.37/0.62 (step @p91 :rule trans :premises (@p90 @p74)) % 0.37/0.62 (step @p92 :rule beta-reduce :args ((= (_ (lambda @t119 (forall @t41 (or @t92 @t107 @t118))) @t113) @t117))) % 0.37/0.62 (step @p93 :rule trans :premises (@p92 @p91)) % 0.37/0.62 (step @p94 :rule aci_norm :args ((= @t121 @t109))) % 0.37/0.62 (step @p95 :rule cong :premises (@p94) :args (@t122)) % 0.37/0.62 (step @p96 :rule quant-merge-prenex :args ((= (forall @t125 @t124) @t122))) % 0.37/0.62 (step @p97 :rule alpha_equiv :args (@t126 (@list @t93) @t128)) % 0.37/0.62 (step @p98 :rule refl :args (@t100)) % 0.37/0.62 (step @p99 :rule refl :args (@t102)) % 0.37/0.62 (step @p100 :rule refl :args (@t108)) % 0.37/0.62 (step @p101 :rule refl :args (@t92)) % 0.37/0.62 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99 @p98 @p97) :args (@t129)) % 0.37/0.62 (step @p103 :rule quant-miniscope-or :args ((= @t124 @t129))) % 0.37/0.62 (step @p104 :rule trans :premises (@p103 @p102)) % 0.37/0.62 (step @p105 :rule symm :premises (@p104)) % 0.37/0.62 (step @p106 :rule cong :premises (@p105) :args ((forall @t125 (or @t92 @t108 @t102 @t100 (forall (@list @t127) (or (not (tptp.reli @t95 @t127)) (_ @t1 @t127))))))) % 0.37/0.62 (step @p107 :rule trans :premises (@p106 @p96)) % 0.37/0.62 (step @p108 :rule trans :premises (@p107 @p95)) % 0.37/0.62 (step @p109 :rule alpha_equiv :args (@t131 @t112 @t128)) % 0.37/0.62 (step @p110 :rule nary_cong :premises (@p101 @p100 @p99 @p98 @p109) :args (@t132)) % 0.37/0.62 (step @p111 :rule cong :premises (@p110) :args ((forall @t125 @t132))) % 0.37/0.62 (step @p112 :rule trans :premises (@p111 @p108)) % 0.37/0.62 (step @p113 :rule beta-reduce :args ((= @t134 @t131))) % 0.37/0.62 (step @p114 :rule refl :args (@t100)) % 0.37/0.62 (step @p115 :rule refl :args (@t102)) % 0.37/0.62 (step @p116 :rule refl :args (@t108)) % 0.37/0.62 (step @p117 :rule nary_cong :premises (@p86 @p116 @p115 @p114 @p113) :args (@t135)) % 0.37/0.62 (step @p118 :rule cong :premises (@p117) :args (@t136)) % 0.37/0.62 (step @p119 :rule trans :premises (@p118 @p112)) % 0.37/0.62 (step @p120 :rule cong :premises (@p119) :args (@t137)) % 0.37/0.62 (step @p121 :rule beta-reduce :args ((= (_ @t141 @t133) @t137))) % 0.37/0.62 (step @p122 :rule trans :premises (@p121 @p120)) % 0.37/0.62 (step @p123 :rule beta-reduce :args ((= @t145 @t133))) % 0.37/0.62 (step @p124 :rule beta-reduce :args ((= @t146 @t141))) % 0.37/0.62 (step @p125 :rule ho_cong :premises (@p124 @p123)) % 0.37/0.62 (step @p126 :rule trans :premises (@p125 @p122)) % 0.37/0.62 (step @p127 :rule refl :args (@t118)) % 0.37/0.62 (step @p128 :rule cong :premises (@p84) :args (@t147)) % 0.37/0.62 (step @p129 :rule nary_cong :premises (@p86 @p128 @p127) :args (@t148)) % 0.37/0.62 (step @p130 :rule cong :premises (@p129) :args (@t149)) % 0.37/0.62 (step @p131 :rule cong :premises (@p130) :args (@t150)) % 0.37/0.62 (step @p132 :rule beta-reduce :args ((= (_ @t153 @t113) @t150))) % 0.37/0.62 (step @p133 :rule trans :premises (@p132 @p131)) % 0.37/0.62 (step @p134 :rule refl :args (@t153)) % 0.37/0.62 (step @p135 :rule ho_cong :premises (@p134 @p126)) % 0.37/0.62 (step @p136 :rule trans :premises (@p135 @p133)) % 0.37/0.62 (step @p137 :rule ho_cong :premises (@p136 @p126)) % 0.37/0.62 (step @p138 :rule trans :premises (@p137 @p93)) % 0.37/0.62 (step @p139 :rule ho_cong :premises (@p62 @p138)) % 0.37/0.62 (step @p140 :rule cong :premises (@p139) :args (@t155)) % 0.37/0.62 (step @p141 :rule trans :premises (@p140 @p70)) % 0.37/0.62 (step @p142 :rule cong :premises (@p141) :args ((not @t155))) % 0.37/0.62 (step @p143 :rule refl :args (@t1)) % 0.37/0.62 (step @p144 :rule beta-reduce :args ((= (_ @t156 @t11) @t143))) % 0.37/0.62 (step @p145 :rule refl :args (@t11)) % 0.37/0.62 (step @p146 :rule beta-reduce :args ((= (_ @t144 @t37) @t156))) % 0.37/0.62 (step @p147 :rule ho_cong :premises (@p146 @p145)) % 0.37/0.62 (step @p148 :rule trans :premises (@p147 @p144)) % 0.37/0.62 (step @p149 :rule refl :args (@t37)) % 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(@p206) :args (@t183)) % 0.37/0.62 (step @p208 :rule trans :premises (@p207 @p204)) % 0.37/0.62 (step @p209 :rule cong :premises (@p208) :args (@t184)) % 0.37/0.62 (step @p210 :rule beta-reduce :args ((= (_ @t187 @t180) @t184))) % 0.37/0.62 (step @p211 :rule trans :premises (@p210 @p209)) % 0.37/0.62 (step @p212 :rule beta-reduce :args ((= (_ (lambda @t119 (forall @t41 (or @t92 @t177 @t118))) @t1) @t180))) % 0.37/0.62 (step @p213 :rule beta-reduce :args ((= (_ (lambda @t91 (forall @t99 (or (not (tptp.reli @t11 @t97)) @t98))) @t36) @t176))) % 0.37/0.62 (step @p214 :rule alpha_equiv :args (@t189 @t112 (@list @t97))) % 0.37/0.62 (step @p215 :rule cong :premises (@p214) :args (@t190)) % 0.37/0.62 (step @p216 :rule ho_cong :premises (@p215 @p80)) % 0.37/0.62 (step @p217 :rule trans :premises (@p216 @p213)) % 0.37/0.62 (step @p218 :rule cong :premises (@p217) :args (@t191)) % 0.37/0.62 (step @p219 :rule nary_cong :premises (@p86 @p218 @p127) :args (@t192)) % 0.37/0.62 (step @p220 :rule cong 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@t152))) % 0.37/0.62 (step @p251 :rule refl :args (@t118)) % 0.37/0.62 (step @p252 :rule refl :args (@t201)) % 0.37/0.62 (step @p253 :rule cong :premises (@p252 @p251) :args ((= @t201 @t118))) % 0.37/0.62 (step @p254 :rule symm :premises (@p253)) % 0.37/0.62 (step @p255 :rule eq_resolve :premises (@p252 @p254)) % 0.37/0.62 (step @p256 :rule refl :args (@t130)) % 0.37/0.62 (step @p257 :rule refl :args (@t202)) % 0.37/0.62 (step @p258 :rule cong :premises (@p257 @p256) :args ((= @t202 @t130))) % 0.37/0.62 (step @p259 :rule symm :premises (@p258)) % 0.37/0.62 (step @p260 :rule eq_resolve :premises (@p257 @p259)) % 0.37/0.62 (step @p261 :rule cong :premises (@p260) :args (@t203)) % 0.37/0.62 (step @p262 :rule refl :args (@t157)) % 0.37/0.62 (step @p263 :rule nary_cong :premises (@p262 @p261 @p255) :args (@t204)) % 0.37/0.62 (step @p264 :rule cong :premises (@p263) :args ((forall @t41 @t204))) % 0.37/0.62 (step @p265 :rule aci_norm :args ((= (or @t157 @t205) @t204))) % 0.37/0.62 (step @p266 :rule beta-reduce :args ((= @t208 @t205))) % 0.37/0.62 (step @p267 :rule refl :args (@t157)) % 0.37/0.62 (step @p268 :rule nary_cong :premises (@p267 @p266) :args (@t209)) % 0.37/0.62 (step @p269 :rule trans :premises (@p268 @p265)) % 0.37/0.62 (step @p270 :rule cong :premises (@p269) :args (@t210)) % 0.37/0.62 (step @p271 :rule trans :premises (@p270 @p264)) % 0.37/0.62 (step @p272 :rule cong :premises (@p271) :args (@t211)) % 0.37/0.62 (step @p273 :rule beta-reduce :args ((= (_ @t161 @t207) @t211))) % 0.37/0.62 (step @p274 :rule trans :premises (@p273 @p272)) % 0.37/0.62 (step @p275 :rule beta-reduce :args ((= (_ @t213 @t65) @t207))) % 0.37/0.62 (step @p276 :rule refl :args (@t65)) % 0.37/0.62 (step @p277 :rule beta-reduce :args ((= (_ (lambda @t33 @t214) @t1) @t213))) % 0.37/0.62 (step @p278 :rule ho_cong :premises (@p277 @p276)) % 0.37/0.62 (step @p279 :rule trans :premises (@p278 @p275)) % 0.37/0.62 (step @p280 :rule ho_cong :premises (@p152 @p279)) % 0.37/0.62 (step @p281 :rule trans :premises (@p280 @p274)) % 0.37/0.62 (step @p282 :rule ho_cong :premises (@p281 @p145)) % 0.37/0.62 (step @p283 :rule trans :premises (@p282 @p250)) % 0.37/0.62 (step @p284 :rule beta-reduce :args ((= (_ @t217 @t11) @t214))) % 0.37/0.62 (step @p285 :rule beta-reduce :args ((= (_ (lambda @t218 (or @t215 @t27)) @t31) @t217))) % 0.37/0.62 (step @p286 :rule refl :args (@t31)) % 0.37/0.62 (step @p287 :rule refl :args (@t27)) % 0.37/0.62 (step @p288 :rule beta-reduce :args ((= @t220 @t215))) % 0.37/0.62 (step @p289 :rule nary_cong :premises (@p288 @p287) :args (@t221)) % 0.37/0.62 (step @p290 :rule cong :premises (@p289) :args (@t222)) % 0.37/0.62 (step @p291 :rule beta-reduce :args ((= (_ @t29 @t219) @t222))) % 0.37/0.62 (step @p292 :rule trans :premises (@p291 @p290)) % 0.37/0.62 (step @p293 :rule beta-reduce :args ((= (_ @t25 @t32) @t219))) % 0.37/0.62 (step @p294 :rule refl :args (@t29)) % 0.37/0.62 (step @p295 :rule ho_cong :premises (@p294 @p293)) % 0.37/0.62 (step @p296 :rule trans :premises (@p295 @p292)) % 0.37/0.62 (step @p297 :rule ho_cong :premises (@p296 @p286)) % 0.37/0.62 (step @p298 :rule trans :premises (@p297 @p285)) % 0.37/0.62 (step @p299 :rule ho_cong :premises (@p298 @p145)) % 0.37/0.62 (step @p300 :rule trans :premises (@p299 @p284)) % 0.37/0.62 (step @p301 :rule refl :args (@t32)) % 0.37/0.62 (step @p302 :rule ho_cong :premises (@p16 @p301)) % 0.37/0.62 (step @p303 :rule ho_cong :premises (@p17 @p302)) % 0.37/0.62 (step @p304 :rule ho_cong :premises (@p303 @p286)) % 0.37/0.62 (step @p305 :rule ho_cong :premises (@p304 @p145)) % 0.37/0.62 (step @p306 :rule trans :premises (@p305 @p300)) % 0.37/0.62 (step @p307 :rule cong :premises (@p306) :args (@t34)) % 0.37/0.62 (step @p308 :rule trans :premises (@p19 @p307)) % 0.37/0.62 (step @p309 :rule ho_cong :premises (@p308 @p143)) % 0.37/0.62 (step @p310 :rule ho_cong :premises (@p309 @p276)) % 0.37/0.62 (step @p311 :rule ho_cong :premises (@p176 @p310)) % 0.37/0.62 (step @p312 :rule ho_cong :premises (@p311 @p145)) % 0.37/0.62 (step @p313 :rule trans :premises (@p312 @p283)) % 0.37/0.62 (step @p314 :rule cong :premises (@p313) :args (@t69)) % 0.37/0.62 (step @p315 :rule trans :premises (@p32 @p314)) % 0.37/0.62 (step @p316 :rule ho_cong :premises (@p315 @p249)) % 0.37/0.62 (step @p317 :rule ho_cong :premises (@p316 @p143)) % 0.37/0.62 (step @p318 :rule beta-reduce :args ((= (_ (lambda @t19 (forall @t171 @t223)) @t11) @t186))) % 0.37/0.62 (step @p319 :rule aci_norm :args ((= @t225 @t223))) % 0.37/0.62 (step @p320 :rule cong :premises (@p319) :args (@t226)) % 0.37/0.62 (step @p321 :rule quant-merge-prenex :args ((= (forall @t41 @t228) @t226))) % 0.37/0.62 (step @p322 :rule alpha_equiv :args (@t229 (@list @t101) @t231)) % 0.37/0.62 (step @p323 :rule nary_cong :premises (@p262 @p322) :args (@t232)) % 0.37/0.62 (step @p324 :rule quant-miniscope-or :args ((= @t228 @t232))) % 0.37/0.62 (step @p325 :rule trans :premises (@p324 @p323)) % 0.37/0.62 (step @p326 :rule symm :premises 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:rule trans :premises (@p339 @p338)) % 0.37/0.63 (step @p341 :rule beta-reduce :args ((= (_ @t242 @t1) @t238))) % 0.37/0.63 (step @p342 :rule beta-reduce :args ((= (_ @t163 tptp.relr) @t242))) % 0.37/0.63 (step @p343 :rule ho_cong :premises (@p342 @p143)) % 0.37/0.63 (step @p344 :rule trans :premises (@p343 @p341)) % 0.37/0.63 (step @p345 :rule ho_cong :premises (@p152 @p344)) % 0.37/0.63 (step @p346 :rule trans :premises (@p345 @p340)) % 0.37/0.63 (step @p347 :rule ho_cong :premises (@p346 @p145)) % 0.37/0.63 (step @p348 :rule trans :premises (@p347 @p318)) % 0.37/0.63 (step @p349 :rule refl :args (tptp.relr)) % 0.37/0.63 (step @p350 :rule ho_cong :premises (@p175 @p349)) % 0.37/0.63 (step @p351 :rule ho_cong :premises (@p350 @p143)) % 0.37/0.63 (step @p352 :rule ho_cong :premises (@p176 @p351)) % 0.37/0.63 (step @p353 :rule ho_cong :premises (@p352 @p145)) % 0.37/0.63 (step @p354 :rule trans :premises (@p353 @p348)) % 0.37/0.63 (step @p355 :rule cong :premises (@p354) :args (@t74)) % 0.37/0.63 (step @p356 :rule trans :premises (@p34 @p355)) % 0.37/0.63 (step @p357 :rule ho_cong :premises (@p356 @p317)) % 0.37/0.63 (step @p358 :rule ho_cong :premises (@p357 @p145)) % 0.37/0.63 (step @p359 :rule trans :premises (@p358 @p246)) % 0.37/0.63 (step @p360 :rule cong :premises (@p359) :args (@t82)) % 0.37/0.63 (step @p361 :rule trans :premises (@p42 @p360)) % 0.37/0.63 (step @p362 :rule ho_cong :premises (@p361 @p188)) % 0.37/0.63 (step @p363 :rule ho_cong :premises (@p362 @p187)) % 0.37/0.63 (step @p364 :rule beta-reduce :args ((= (_ @t243 @t11) @t152))) % 0.37/0.63 (step @p365 :rule beta-reduce :args ((= (_ @t244 @t65) @t243))) % 0.37/0.63 (step @p366 :rule beta-reduce :args ((= (_ @t153 @t1) @t244))) % 0.37/0.63 (step @p367 :rule ho_cong :premises (@p366 @p276)) % 0.37/0.63 (step @p368 :rule trans :premises (@p367 @p365)) % 0.37/0.63 (step @p369 :rule ho_cong :premises (@p368 @p145)) % 0.37/0.63 (step @p370 :rule trans :premises (@p369 @p364)) % 0.37/0.63 (step @p371 :rule ho_cong :premises (@p315 @p143)) % 0.37/0.63 (step @p372 :rule ho_cong :premises (@p371 @p276)) % 0.37/0.63 (step @p373 :rule ho_cong :premises (@p372 @p145)) % 0.37/0.63 (step @p374 :rule trans :premises (@p373 @p370)) % 0.37/0.63 (step @p375 :rule cong :premises (@p374) :args (@t79)) % 0.37/0.63 (step @p376 :rule trans :premises (@p40 @p375)) % 0.37/0.63 (step @p377 :rule ho_cong :premises (@p376 @p363)) % 0.37/0.63 (step @p378 :rule ho_cong :premises (@p377 @p363)) % 0.37/0.63 (step @p379 :rule ho_cong :premises (@p62 @p378)) % 0.37/0.63 (step @p380 :rule cong :premises (@p379) :args (@t16)) % 0.37/0.63 (step @p381 :rule cong :premises (@p380) :args (@t17)) % 0.37/0.63 (step @p382 :rule trans :premises (@p381 @p142)) % 0.37/0.63 (step @p383 :rule eq_resolve :premises (@p12 @p382)) % 0.37/0.63 (step @p384 false :rule eq_resolve :premises (@p383 @p69)) % 0.37/0.63 ) % 0.37/0.63 % SZS output end Proof % 0.37/0.63 % cvc5 exiting %------------------------------------------------------------------------------