%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PHI004^2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:43:11 AM UTC 2026 % Result : Theorem 150.43s 150.81s % Output : Proof 150.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : PHI004^2 : TPTP v9.2.1. Released v6.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 12:51:48 EDT 2026 % 0.06/0.25 % CPUTime : % 0.14/0.33 %----Proving TH0 % 150.43/150.81 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.43/150.81 --- 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... % 150.43/150.81 --- 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... % 150.43/150.81 --- Run --ho-elim --full-saturate-quant at 18s... % 150.43/150.81 % SZS status Theorem % 150.43/150.81 % SZS output start Proof % 150.43/150.81 ( % 150.43/150.81 (declare-sort $$unsorted 0) % 150.43/150.81 (declare-sort tptp.mu 0) % 150.43/150.81 (declare-const tptp.positive (-> (-> tptp.mu $$unsorted Bool) $$unsorted Bool)) % 150.43/150.81 (declare-const tptp.mbox (-> (-> $$unsorted Bool) $$unsorted Bool)) % 150.43/150.81 (declare-const tptp.mdia (-> (-> $$unsorted Bool) $$unsorted Bool)) % 150.43/150.81 (declare-const tptp.rel (-> $$unsorted $$unsorted Bool)) % 150.43/150.81 (define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1))))) % 150.43/150.81 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 150.43/150.81 (define tptp.mfalse () (lambda (@list (@var "W" $$unsorted)) false)) % 150.43/150.81 (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 150.43/150.81 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 150.43/150.81 (define tptp.mand () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 150.43/150.81 (define tptp.mimplies () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 150.43/150.81 (define tptp.mimplied () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 150.43/150.81 (define tptp.mequiv () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 150.43/150.81 (define tptp.mxor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (let ((_let_4 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_1))) (lambda (@list _let_4 _let_2 _let_1) (or (and _let_5 (not _let_3)) (and (not _let_5) _let_3))))))))) % 150.43/150.81 (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.43/150.81 (define tptp.mforall_indset () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" (-> tptp.mu $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> tptp.mu $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.43/150.81 (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.43/150.81 (define tptp.mexists_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.43/150.81 (define tptp.mexists_indset () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" (-> tptp.mu $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> tptp.mu $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.43/150.81 (define tptp.mexists_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.43/150.81 (define tptp.mbox_generic () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1))))))))) % 150.43/150.81 (define tptp.mdia_generic () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$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))))))))) % 150.43/150.81 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 150.43/150.81 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 150.43/150.81 (define tptp.god () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mforall_indset (lambda (@list _let_3 _let_1) (_ (_ (_ tptp.mimplies (_ tptp.positive _let_3)) (_ _let_3 _let_2)) _let_1))) _let_1)))))) % 150.43/150.81 (define tptp.essence () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Y" tptp.mu))) (let ((_let_3 (@var "Psi" (-> tptp.mu $$unsorted Bool)))) (let ((_let_4 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (let ((_let_5 (@var "X" tptp.mu))) (lambda (@list _let_4 _let_5 _let_1) (_ (_ (_ tptp.mand (_ _let_4 _let_5)) (_ tptp.mforall_indset (lambda (@list _let_3 _let_1) (_ (_ (_ tptp.mimplies (_ _let_3 _let_5)) (_ tptp.mbox (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.mimplies (_ _let_4 _let_2)) (_ _let_3 _let_2)) _let_1))))) _let_1)))) _let_1)))))))) % 150.43/150.81 (define @t1 () (= tptp.mbox (_ tptp.mbox_generic tptp.rel))) % 150.43/150.81 (define @t2 () (@var "__flatten_var_0" $$unsorted)) % 150.43/150.81 (define @t3 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 150.43/150.81 (define @t4 () (_ tptp.positive @t3)) % 150.43/150.81 (define @t5 () (@var "X" tptp.mu)) % 150.43/150.81 (define @t6 () (_ @t3 @t5)) % 150.43/150.81 (define @t7 () (@list @t5 @t2)) % 150.43/150.81 (define @t8 () (lambda @t7 (_ (_ tptp.mnot @t6) @t2))) % 150.43/150.81 (define @t9 () (@list @t3 @t2)) % 150.43/150.81 (define @t10 () (lambda @t9 (_ (_ (_ tptp.mequiv (_ tptp.positive @t8)) (_ tptp.mnot @t4)) @t2))) % 150.43/150.81 (define @t11 () (_ tptp.mbox @t4)) % 150.43/150.81 (define @t12 () (_ tptp.mimplies @t4)) % 150.43/150.81 (define @t13 () (lambda @t9 (_ (_ @t12 @t11) @t2))) % 150.43/150.81 (define @t14 () (lambda @t7 (_ (_ (_ tptp.mimplies (_ tptp.god @t5)) (_ (_ tptp.essence tptp.god) @t5)) @t2))) % 150.43/150.81 (define @t15 () (not (_ tptp.mvalid (_ tptp.mforall_ind @t14)))) % 150.43/150.81 (define @t16 () (@var "Y" tptp.mu)) % 150.43/150.81 (define @t17 () (@var "W" $$unsorted)) % 150.43/150.81 (define @t18 () (lambda (@list @t5 @t16 @t17) (= @t5 @t16))) % 150.43/150.81 (define @t19 () (@list @t17)) % 150.43/150.81 (define @t20 () (lambda @t19 true)) % 150.43/150.81 (define @t21 () (lambda @t19 false)) % 150.43/150.81 (define @t22 () (@var "Phi" (-> $$unsorted Bool))) % 150.43/150.81 (define @t23 () (_ @t22 @t17)) % 150.43/150.81 (define @t24 () (not @t23)) % 150.43/150.81 (define @t25 () (@list @t22 @t17)) % 150.43/150.81 (define @t26 () (lambda @t25 @t24)) % 150.43/150.81 (define @t27 () (@var "Psi" (-> $$unsorted Bool))) % 150.43/150.81 (define @t28 () (_ @t27 @t17)) % 150.43/150.81 (define @t29 () (@list @t22 @t27 @t17)) % 150.43/150.81 (define @t30 () (lambda @t29 (or @t23 @t28))) % 150.43/150.81 (define @t31 () (lambda @t29 (and @t23 @t28))) % 150.43/150.81 (define @t32 () (lambda @t29 (=> @t23 @t28))) % 150.43/150.81 (define @t33 () (lambda @t29 (=> @t28 @t23))) % 150.43/150.81 (define @t34 () (lambda @t29 (= @t23 @t28))) % 150.43/150.81 (define @t35 () (lambda @t29 (or (and @t23 (not @t28)) (and @t24 @t28)))) % 150.43/150.81 (define @t36 () (_ @t6 @t17)) % 150.43/150.81 (define @t37 () (@list @t5)) % 150.43/150.81 (define @t38 () (forall @t37 @t36)) % 150.43/150.81 (define @t39 () (@list @t3 @t17)) % 150.43/150.81 (define @t40 () (lambda @t39 @t38)) % 150.43/150.81 (define @t41 () (@var "X" (-> tptp.mu $$unsorted Bool))) % 150.43/150.81 (define @t42 () (@var "Phi" (-> (-> tptp.mu $$unsorted Bool) $$unsorted Bool))) % 150.43/150.81 (define @t43 () (_ (_ @t42 @t41) @t17)) % 150.43/150.81 (define @t44 () (@list @t41)) % 150.43/150.81 (define @t45 () (forall @t44 @t43)) % 150.43/150.81 (define @t46 () (@list @t42 @t17)) % 150.43/150.81 (define @t47 () (lambda @t46 @t45)) % 150.43/150.81 (define @t48 () (@var "P" (-> $$unsorted Bool))) % 150.43/150.81 (define @t49 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 150.43/150.81 (define @t50 () (_ (_ @t49 @t48) @t17)) % 150.43/150.81 (define @t51 () (@list @t48)) % 150.43/150.81 (define @t52 () (@list @t49 @t17)) % 150.43/150.81 (define @t53 () (lambda @t52 (forall @t51 @t50))) % 150.43/150.81 (define @t54 () (lambda @t39 (exists @t37 @t36))) % 150.43/150.81 (define @t55 () (lambda @t46 (exists @t44 @t43))) % 150.43/150.81 (define @t56 () (lambda @t52 (exists @t51 @t50))) % 150.43/150.81 (define @t57 () (@var "V" $$unsorted)) % 150.43/150.81 (define @t58 () (_ @t22 @t57)) % 150.43/150.81 (define @t59 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 150.43/150.81 (define @t60 () (_ (_ @t59 @t17) @t57)) % 150.43/150.81 (define @t61 () (not @t60)) % 150.43/150.81 (define @t62 () (or @t61 @t58)) % 150.43/150.81 (define @t63 () (@list @t57)) % 150.43/150.81 (define @t64 () (forall @t63 @t62)) % 150.43/150.81 (define @t65 () (@list @t59 @t22 @t17)) % 150.43/150.81 (define @t66 () (lambda @t65 @t64)) % 150.43/150.81 (define @t67 () (lambda @t65 (exists @t63 (and @t60 @t58)))) % 150.43/150.81 (define @t68 () (forall @t19 @t23)) % 150.43/150.81 (define @t69 () (@list @t22)) % 150.43/150.81 (define @t70 () (lambda @t69 @t68)) % 150.43/150.81 (define @t71 () (lambda @t69 (forall @t19 @t24))) % 150.43/150.81 (define @t72 () (lambda @t9 (_ (_ @t12 @t6) @t2))) % 150.43/150.81 (define @t73 () (lambda @t7 (_ (_ tptp.mforall_indset @t72) @t2))) % 150.43/150.81 (define @t74 () (@var "Psi" (-> tptp.mu $$unsorted Bool))) % 150.43/150.81 (define @t75 () (_ @t74 @t16)) % 150.43/150.81 (define @t76 () (_ @t3 @t16)) % 150.43/150.81 (define @t77 () (@list @t16 @t2)) % 150.43/150.81 (define @t78 () (lambda @t77 (_ (_ (_ tptp.mimplies @t76) @t75) @t2))) % 150.43/150.81 (define @t79 () (_ @t74 @t5)) % 150.43/150.81 (define @t80 () (@list @t74 @t2)) % 150.43/150.81 (define @t81 () (lambda @t80 (_ (_ (_ tptp.mimplies @t79) (_ tptp.mbox (_ tptp.mforall_ind @t78))) @t2))) % 150.43/150.81 (define @t82 () (@list @t3 @t5 @t2)) % 150.43/150.81 (define @t83 () (lambda @t82 (_ (_ (_ tptp.mand @t6) (_ tptp.mforall_indset @t81)) @t2))) % 150.43/150.81 (define @t84 () (@var "BOUND_VARIABLE_8243" $$unsorted)) % 150.43/150.81 (define @t85 () (@var "BOUND_VARIABLE_8348" (@ho-elim-sort (-> tptp.mu $$unsorted Bool)))) % 150.43/150.81 (define @t86 () (@const 0 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.mu $$unsorted Bool)) $$unsorted Bool)))) % 150.43/150.81 (define @t87 () (@const 1 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.mu $$unsorted Bool)) $$unsorted Bool)) (@ho-elim-sort (-> tptp.mu $$unsorted Bool)) (@ho-elim-sort (-> $$unsorted Bool))))) % 150.43/150.81 (define @t88 () (_ @t87 @t86 @t85)) % 150.43/150.81 (define @t89 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.43/150.81 (define @t90 () (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.43/150.81 (define @t91 () (@const 4 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 150.43/150.81 (define @t92 () (_ @t91 @t90 @t17)) % 150.43/150.81 (define @t93 () (not (_ @t89 @t88 @t17))) % 150.43/150.81 (define @t94 () (forall (@list @t17 @t85 @t84) (or @t93 (not (_ @t89 @t92 @t84)) (_ @t89 @t88 @t84)))) % 150.43/150.81 (define @t95 () (tptp.positive @t41 @t84)) % 150.43/150.81 (define @t96 () (not (tptp.rel @t17 @t84))) % 150.43/150.81 (define @t97 () (tptp.positive @t41 @t17)) % 150.43/150.81 (define @t98 () (not @t97)) % 150.43/150.81 (define @t99 () (or @t98 @t96 @t95)) % 150.43/150.81 (define @t100 () (@list @t17 @t41 @t84)) % 150.43/150.81 (define @t101 () (or @t96 @t95)) % 150.43/150.81 (define @t102 () (or @t98 @t101)) % 150.43/150.81 (define @t103 () (forall @t100 @t102)) % 150.43/150.81 (define @t104 () (@list @t84)) % 150.43/150.81 (define @t105 () (forall @t104 @t102)) % 150.43/150.81 (define @t106 () (@list @t17 @t41)) % 150.43/150.81 (define @t107 () (forall @t104 @t101)) % 150.43/150.81 (define @t108 () (or @t98 @t107)) % 150.43/150.81 (define @t109 () (tptp.positive @t41 @t57)) % 150.43/150.81 (define @t110 () (not (tptp.rel @t17 @t57))) % 150.43/150.81 (define @t111 () (_ tptp.positive @t41)) % 150.43/150.81 (define @t112 () (_ @t111 @t57)) % 150.43/150.81 (define @t113 () (or @t110 @t112)) % 150.43/150.81 (define @t114 () (_ @t111 @t57)) % 150.43/150.81 (define @t115 () (or @t110 @t114)) % 150.43/150.81 (define @t116 () (forall @t63 @t115)) % 150.43/150.81 (define @t117 () (_ @t22 @t57)) % 150.43/150.81 (define @t118 () (lambda @t25 (forall @t63 (or @t110 @t117)))) % 150.43/150.81 (define @t119 () (_ @t118 @t111 @t17)) % 150.43/150.81 (define @t120 () (or @t98 @t119)) % 150.43/150.81 (define @t121 () (_ @t59 @t17 @t57)) % 150.43/150.81 (define @t122 () (_ (lambda @t65 (forall @t63 (or (not @t121) @t117))) tptp.rel)) % 150.43/150.81 (define @t123 () (tptp.mbox @t111 @t17)) % 150.43/150.81 (define @t124 () (or @t98 @t123)) % 150.43/150.81 (define @t125 () (forall @t106 @t124)) % 150.43/150.81 (define @t126 () (forall @t44 @t124)) % 150.43/150.81 (define @t127 () (lambda @t19 @t126)) % 150.43/150.81 (define @t128 () (_ @t127 @t17)) % 150.43/150.81 (define @t129 () (forall @t19 @t128)) % 150.43/150.81 (define @t130 () (_ @t22 @t17)) % 150.43/150.81 (define @t131 () (lambda @t69 (forall @t19 @t130))) % 150.43/150.81 (define @t132 () (_ (_ tptp.mbox @t111) @t17)) % 150.43/150.81 (define @t133 () (_ @t111 @t17)) % 150.43/150.81 (define @t134 () (not @t133)) % 150.43/150.81 (define @t135 () (or @t134 @t132)) % 150.43/150.81 (define @t136 () (=> @t133 @t132)) % 150.43/150.81 (define @t137 () (_ @t4 @t2)) % 150.43/150.81 (define @t138 () (=> @t137 (_ @t11 @t2))) % 150.43/150.81 (define @t139 () (lambda @t9 @t138)) % 150.43/150.81 (define @t140 () (_ @t139 @t41 @t17)) % 150.43/150.81 (define @t141 () (forall @t44 @t140)) % 150.43/150.81 (define @t142 () (lambda @t19 @t141)) % 150.43/150.81 (define @t143 () (_ @t42 @t41 @t17)) % 150.43/150.81 (define @t144 () (lambda @t46 (forall @t44 @t143))) % 150.43/150.81 (define @t145 () (_ @t4 @t17)) % 150.43/150.81 (define @t146 () (lambda @t19 (=> @t145 (_ @t11 @t17)))) % 150.43/150.81 (define @t147 () (@list @t27 @t17)) % 150.43/150.81 (define @t148 () (lambda @t147 (=> @t145 @t28))) % 150.43/150.81 (define @t149 () (_ @t32 @t4)) % 150.43/150.81 (define @t150 () (@const 5 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.mu $$unsorted Bool)) tptp.mu $$unsorted Bool)))) % 150.43/150.81 (define @t151 () (@const 6 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.mu $$unsorted Bool)) tptp.mu $$unsorted Bool)) (@ho-elim-sort (-> tptp.mu $$unsorted Bool)) (@ho-elim-sort (-> tptp.mu $$unsorted Bool))))) % 150.43/150.81 (define @t152 () (_ @t89 (_ @t87 @t86 (_ @t151 @t150 @t85)) @t17)) % 150.43/150.81 (define @t153 () (@list @t17 @t85)) % 150.43/150.81 (define @t154 () (forall @t153 (= @t93 @t152))) % 150.43/150.81 (define @t155 () (@const 7 (-> (-> tptp.mu $$unsorted Bool) tptp.mu $$unsorted Bool))) % 150.43/150.81 (define @t156 () (forall @t106 (= @t98 (tptp.positive (_ @t155 @t41) @t17)))) % 150.43/150.81 (define @t157 () (@var "BOUND_VARIABLE_8013" $$unsorted)) % 150.43/150.81 (define @t158 () (_ @t41 @t5 @t157)) % 150.43/150.81 (define @t159 () (not @t158)) % 150.43/150.81 (define @t160 () (@list @t5 @t157)) % 150.43/150.81 (define @t161 () (lambda @t160 @t159)) % 150.43/150.81 (define @t162 () (tptp.positive @t161 @t17)) % 150.43/150.81 (define @t163 () (= @t98 @t162)) % 150.43/150.81 (define @t164 () (forall @t106 @t163)) % 150.43/150.81 (define @t165 () (forall @t44 @t163)) % 150.43/150.81 (define @t166 () (lambda @t19 @t165)) % 150.43/150.81 (define @t167 () (_ @t166 @t17)) % 150.43/150.81 (define @t168 () (forall @t19 @t167)) % 150.43/150.81 (define @t169 () (_ @t41 @t5)) % 150.43/150.81 (define @t170 () (_ @t169 @t157)) % 150.43/150.81 (define @t171 () (not @t170)) % 150.43/150.81 (define @t172 () (lambda @t160 @t171)) % 150.43/150.81 (define @t173 () (_ (_ tptp.positive @t172) @t17)) % 150.43/150.81 (define @t174 () (= @t134 @t173)) % 150.43/150.81 (define @t175 () (_ tptp.positive (lambda @t160 (not (_ @t6 @t157))))) % 150.43/150.81 (define @t176 () (= (not @t137) (_ @t175 @t2))) % 150.43/150.81 (define @t177 () (lambda @t9 @t176)) % 150.43/150.81 (define @t178 () (_ @t177 @t41 @t17)) % 150.43/150.81 (define @t179 () (forall @t44 @t178)) % 150.43/150.81 (define @t180 () (lambda @t19 @t179)) % 150.43/150.81 (define @t181 () (_ @t175 @t17)) % 150.43/150.81 (define @t182 () (not @t145)) % 150.43/150.81 (define @t183 () (_ @t6 @t2)) % 150.43/150.81 (define @t184 () (not @t183)) % 150.43/150.81 (define @t185 () (lambda @t7 @t184)) % 150.43/150.81 (define @t186 () (_ tptp.positive @t185)) % 150.43/150.81 (define @t187 () (_ @t186 @t17)) % 150.43/150.81 (define @t188 () (= @t187 @t182)) % 150.43/150.81 (define @t189 () (lambda @t19 @t182)) % 150.43/150.81 (define @t190 () (_ @t189 @t17)) % 150.43/150.81 (define @t191 () (lambda @t19 (= @t190 @t187))) % 150.43/150.81 (define @t192 () (_ @t26 @t4)) % 150.43/150.81 (define @t193 () (lambda @t147 (= @t187 @t28))) % 150.43/150.81 (define @t194 () (not @t36)) % 150.43/150.81 (define @t195 () (lambda @t19 @t194)) % 150.43/150.81 (define @t196 () (_ @t26 @t6)) % 150.43/150.81 (define @t197 () (lambda @t7 (_ @t196 @t2))) % 150.43/150.81 (define @t198 () (@var "BOUND_VARIABLE_8292" $$unsorted)) % 150.43/150.81 (define @t199 () (@var "BOUND_VARIABLE_8294" tptp.mu)) % 150.43/150.81 (define @t200 () (@var "BOUND_VARIABLE_8396" (@ho-elim-sort (-> tptp.mu $$unsorted Bool)))) % 150.43/150.81 (define @t201 () (@const 8 (-> (@ho-elim-sort (-> tptp.mu $$unsorted Bool)) tptp.mu (@ho-elim-sort (-> $$unsorted Bool))))) % 150.43/150.81 (define @t202 () (@var "BOUND_VARIABLE_8401" (@ho-elim-sort (-> tptp.mu $$unsorted Bool)))) % 150.43/150.81 (define @t203 () (_ @t87 @t86 @t202)) % 150.43/150.81 (define @t204 () (@list @t202)) % 150.43/150.81 (define @t205 () (@var "BOUND_VARIABLE_8424" (@ho-elim-sort (-> tptp.mu $$unsorted Bool)))) % 150.43/150.81 (define @t206 () (@list @t85)) % 150.43/150.81 (define @t207 () (forall (@list @t17 @t5 @t205 @t200 @t198 @t199) (or (not (forall @t206 (or @t93 (_ @t89 (_ @t201 @t85 @t5) @t17)))) (and (or (not (_ @t89 (_ @t87 @t86 @t205) @t17)) (_ @t89 (_ @t201 @t205 @t5) @t17)) (or (not (_ @t89 (_ @t201 @t200 @t5) @t17)) (not (_ @t89 @t92 @t198)) (not (forall @t204 (or (not (_ @t89 @t203 @t198)) (_ @t89 (_ @t201 @t202 @t199) @t198)))) (_ @t89 (_ @t201 @t200 @t199) @t198)))))) % 150.43/150.81 (define @t208 () (@quantifiers_skolemize @t207 0)) % 150.43/150.81 (define @t209 () (@quantifiers_skolemize @t207 3)) % 150.43/150.81 (define @t210 () (_ @t151 @t150 @t209)) % 150.43/150.81 (define @t211 () (_ @t89 (_ @t87 @t86 @t210) @t208)) % 150.43/150.81 (define @t212 () (_ @t87 @t86 @t209)) % 150.43/150.81 (define @t213 () (_ @t89 @t212 @t208)) % 150.43/150.81 (define @t214 () (not @t213)) % 150.43/150.81 (define @t215 () (forall @t153 (= @t152 @t93))) % 150.43/150.81 (define @t216 () (= @t211 @t214)) % 150.43/150.81 (define @t217 () (= @t214 @t211)) % 150.43/150.81 (define @t218 () (@list false)) % 150.43/150.81 (define @t219 () (@var "BOUND_VARIABLE_8206" (-> tptp.mu $$unsorted Bool))) % 150.43/150.81 (define @t220 () (_ @t219 @t199 @t198)) % 150.43/150.81 (define @t221 () (@var "BOUND_VARIABLE_8159" (-> tptp.mu $$unsorted Bool))) % 150.43/150.81 (define @t222 () (@list @t221)) % 150.43/150.81 (define @t223 () (not (forall @t222 (or (not (tptp.positive @t221 @t198)) (_ @t221 @t199 @t198))))) % 150.43/150.81 (define @t224 () (not (tptp.rel @t17 @t198))) % 150.43/150.81 (define @t225 () (not (_ @t219 @t5 @t17))) % 150.43/150.81 (define @t226 () (or @t225 @t224 @t223 @t220)) % 150.43/150.81 (define @t227 () (@var "BOUND_VARIABLE_8200" (-> tptp.mu $$unsorted Bool))) % 150.43/150.81 (define @t228 () (or (not (tptp.positive @t227 @t17)) (_ @t227 @t5 @t17))) % 150.43/150.81 (define @t229 () (_ @t41 @t5 @t17)) % 150.43/150.81 (define @t230 () (forall @t44 (or @t98 @t229))) % 150.43/150.81 (define @t231 () (not @t230)) % 150.43/150.81 (define @t232 () (@list @t17 @t5 @t227 @t219 @t198 @t199)) % 150.43/150.81 (define @t233 () (or @t224 @t223 @t220)) % 150.43/150.81 (define @t234 () (or @t225 @t233)) % 150.43/150.81 (define @t235 () (and @t228 @t234)) % 150.43/150.81 (define @t236 () (or @t231 @t235)) % 150.43/150.81 (define @t237 () (forall @t232 @t236)) % 150.43/150.81 (define @t238 () (@list @t198 @t199)) % 150.43/150.81 (define @t239 () (forall @t238 @t236)) % 150.43/150.81 (define @t240 () (@list @t17 @t5 @t227 @t219)) % 150.43/150.81 (define @t241 () (forall @t238 @t233)) % 150.43/150.81 (define @t242 () (@var "BOUND_VARIABLE_8275" tptp.mu)) % 150.43/150.81 (define @t243 () (or @t225 @t241)) % 150.43/150.81 (define @t244 () (forall @t238 @t234)) % 150.43/150.81 (define @t245 () (forall @t238 @t228)) % 150.43/150.81 (define @t246 () (and @t245 @t244)) % 150.43/150.81 (define @t247 () (forall @t238 @t235)) % 150.43/150.81 (define @t248 () (or @t231 @t247)) % 150.43/150.81 (define @t249 () (_ @t219 @t242 @t57)) % 150.43/150.81 (define @t250 () (not (tptp.positive @t221 @t57))) % 150.43/150.81 (define @t251 () (not (forall @t222 (or @t250 (_ @t221 @t242 @t57))))) % 150.43/150.81 (define @t252 () (or @t110 @t251 @t249)) % 150.43/150.81 (define @t253 () (@list @t57 @t242)) % 150.43/150.81 (define @t254 () (or @t251 @t249)) % 150.43/150.81 (define @t255 () (or @t110 @t254)) % 150.43/150.81 (define @t256 () (forall @t253 @t255)) % 150.43/150.81 (define @t257 () (@list @t242)) % 150.43/150.81 (define @t258 () (forall @t257 @t255)) % 150.43/150.81 (define @t259 () (forall @t257 @t254)) % 150.43/150.81 (define @t260 () (@var "BOUND_VARIABLE_8101" tptp.mu)) % 150.43/150.81 (define @t261 () (or @t110 @t259)) % 150.43/150.81 (define @t262 () (@list @t260)) % 150.43/150.81 (define @t263 () (forall @t262 (or (not (forall @t222 (or @t250 (_ @t221 @t260 @t57)))) (_ @t219 @t260 @t57)))) % 150.43/150.81 (define @t264 () (@var "BOUND_VARIABLE_7844" $$unsorted)) % 150.43/150.81 (define @t265 () (not (forall @t222 (or (not (tptp.positive @t221 @t264)) (_ @t221 @t260 @t264))))) % 150.43/150.81 (define @t266 () (@list @t264)) % 150.43/150.81 (define @t267 () (lambda @t266 (forall @t262 (or @t265 (_ @t219 @t260 @t264))))) % 150.43/150.81 (define @t268 () (_ @t267 @t57)) % 150.43/150.81 (define @t269 () (or @t110 @t268)) % 150.43/150.81 (define @t270 () (forall @t63 @t269)) % 150.43/150.81 (define @t271 () (_ @t118 @t267 @t17)) % 150.43/150.81 (define @t272 () (or @t225 @t271)) % 150.43/150.81 (define @t273 () (and @t228 @t272)) % 150.43/150.81 (define @t274 () (or @t231 @t273)) % 150.43/150.81 (define @t275 () (forall @t240 @t274)) % 150.43/150.81 (define @t276 () (or @t225 (tptp.mbox @t267 @t17))) % 150.43/150.81 (define @t277 () (and @t228 @t276)) % 150.43/150.81 (define @t278 () (or @t231 @t277)) % 150.43/150.81 (define @t279 () (forall @t240 @t278)) % 150.43/150.81 (define @t280 () (forall (@list @t5 @t227 @t219) @t278)) % 150.43/150.81 (define @t281 () (lambda @t19 @t280)) % 150.43/150.81 (define @t282 () (_ @t281 @t17)) % 150.43/150.81 (define @t283 () (forall @t19 @t282)) % 150.43/150.81 (define @t284 () (@list @t227 @t219)) % 150.43/150.81 (define @t285 () (forall @t284 @t278)) % 150.43/150.81 (define @t286 () (forall (@list @t219) @t276)) % 150.43/150.81 (define @t287 () (@list @t41)) % 150.43/150.81 (define @t288 () (forall @t284 @t276)) % 150.43/150.81 (define @t289 () (forall (@list @t227) @t228)) % 150.43/150.81 (define @t290 () (forall @t284 @t228)) % 150.43/150.81 (define @t291 () (and @t290 @t288)) % 150.43/150.81 (define @t292 () (forall @t284 @t277)) % 150.43/150.81 (define @t293 () (or @t231 @t292)) % 150.43/150.81 (define @t294 () (_ @t41 @t260 @t264)) % 150.43/150.81 (define @t295 () (lambda @t266 (forall @t262 (or @t265 @t294)))) % 150.43/150.81 (define @t296 () (not @t229)) % 150.43/150.81 (define @t297 () (and @t230 (forall @t44 (or @t296 (tptp.mbox @t295 @t17))))) % 150.43/150.81 (define @t298 () (=> @t230 @t297)) % 150.43/150.81 (define @t299 () (_ @t41 @t5 @t2)) % 150.43/150.81 (define @t300 () (not @t299)) % 150.43/150.81 (define @t301 () (forall @t44 (or (not (tptp.positive @t41 @t2)) @t299))) % 150.43/150.81 (define @t302 () (and @t301 (forall @t44 (or @t300 (tptp.mbox @t295 @t2))))) % 150.43/150.81 (define @t303 () (=> @t301 @t302)) % 150.43/150.81 (define @t304 () (lambda @t7 @t303)) % 150.43/150.81 (define @t305 () (_ @t304 @t5 @t17)) % 150.43/150.81 (define @t306 () (forall @t37 @t305)) % 150.43/150.81 (define @t307 () (lambda @t19 @t306)) % 150.43/150.81 (define @t308 () (_ @t3 @t5 @t17)) % 150.43/150.81 (define @t309 () (lambda @t39 (forall @t37 @t308))) % 150.43/150.81 (define @t310 () (@list @t2)) % 150.43/150.81 (define @t311 () (lambda @t310 @t302)) % 150.43/150.81 (define @t312 () (_ @t311 @t17)) % 150.43/150.81 (define @t313 () (=> @t230 @t312)) % 150.43/150.81 (define @t314 () (lambda @t19 @t313)) % 150.43/150.81 (define @t315 () (forall @t44 (or (not (tptp.positive @t41 @t264)) @t294))) % 150.43/150.81 (define @t316 () (not @t315)) % 150.43/150.81 (define @t317 () (or @t316 @t294)) % 150.43/150.81 (define @t318 () (forall @t262 @t317)) % 150.43/150.81 (define @t319 () (lambda @t266 @t318)) % 150.43/150.81 (define @t320 () (tptp.mbox @t319 @t2)) % 150.43/150.81 (define @t321 () (or @t300 @t320)) % 150.43/150.81 (define @t322 () (lambda @t7 @t301)) % 150.43/150.81 (define @t323 () (_ @t322 @t260 @t264)) % 150.43/150.81 (define @t324 () (not @t323)) % 150.43/150.81 (define @t325 () (or @t324 @t294)) % 150.43/150.81 (define @t326 () (forall @t262 @t325)) % 150.43/150.81 (define @t327 () (lambda @t266 @t326)) % 150.43/150.81 (define @t328 () (tptp.mbox @t327 @t2)) % 150.43/150.81 (define @t329 () (or @t300 @t328)) % 150.43/150.81 (define @t330 () (forall @t44 @t329)) % 150.43/150.81 (define @t331 () (lambda @t310 @t301)) % 150.43/150.81 (define @t332 () (_ @t322 @t5)) % 150.43/150.81 (define @t333 () (and (_ @t332 @t2) @t330)) % 150.43/150.81 (define @t334 () (lambda @t7 @t333)) % 150.43/150.81 (define @t335 () (lambda @t82 (and @t183 (forall @t44 (or @t300 (tptp.mbox (lambda @t266 (forall @t262 (or (not (_ @t3 @t260 @t264)) @t294))) @t2)))))) % 150.43/150.81 (define @t336 () (_ @t41 @t5 @t264)) % 150.43/150.81 (define @t337 () (_ @t3 @t5 @t264)) % 150.43/150.81 (define @t338 () (not @t337)) % 150.43/150.81 (define @t339 () (or @t338 @t336)) % 150.43/150.81 (define @t340 () (forall @t37 @t339)) % 150.43/150.81 (define @t341 () (lambda @t266 @t340)) % 150.43/150.81 (define @t342 () (and @t183 (forall @t44 (or @t300 (tptp.mbox @t341 @t2))))) % 150.43/150.81 (define @t343 () (lambda @t82 @t342)) % 150.43/150.81 (define @t344 () (_ @t331 @t17)) % 150.43/150.81 (define @t345 () (=> @t344 @t28)) % 150.43/150.81 (define @t346 () (lambda @t147 @t345)) % 150.43/150.81 (define @t347 () (lambda @t7 (_ (_ (_ @t32 @t332) (_ (_ @t343 @t322) @t5)) @t2))) % 150.43/150.81 (define @t348 () (_ @t169 @t17)) % 150.43/150.81 (define @t349 () (or @t134 @t348)) % 150.43/150.81 (define @t350 () (=> @t133 @t348)) % 150.43/150.81 (define @t351 () (=> @t137 @t183)) % 150.43/150.81 (define @t352 () (lambda @t9 @t351)) % 150.43/150.81 (define @t353 () (_ @t352 @t41 @t17)) % 150.43/150.81 (define @t354 () (forall @t44 @t353)) % 150.43/150.81 (define @t355 () (lambda @t19 @t354)) % 150.43/150.81 (define @t356 () (lambda @t19 (=> @t145 @t36))) % 150.43/150.81 (define @t357 () (tptp.mbox @t341 @t17)) % 150.43/150.81 (define @t358 () (forall @t44 (or @t296 @t357))) % 150.43/150.81 (define @t359 () (lambda @t19 @t358)) % 150.43/150.81 (define @t360 () (_ @t359 @t17)) % 150.43/150.81 (define @t361 () (and @t36 @t360)) % 150.43/150.81 (define @t362 () (lambda @t19 @t361)) % 150.43/150.81 (define @t363 () (lambda @t147 (and @t36 @t28))) % 150.43/150.81 (define @t364 () (lambda @t266 (forall @t37 (or (not (_ @t6 @t264)) (_ @t169 @t264))))) % 150.43/150.81 (define @t365 () (_ (_ tptp.mbox @t341) @t17)) % 150.43/150.81 (define @t366 () (not @t348)) % 150.43/150.81 (define @t367 () (or @t366 @t365)) % 150.43/150.81 (define @t368 () (=> @t348 @t365)) % 150.43/150.81 (define @t369 () (_ tptp.mbox (lambda @t266 (forall @t37 (or @t338 (_ @t74 @t5 @t264)))))) % 150.43/150.81 (define @t370 () (=> (_ @t79 @t2) (_ @t369 @t2))) % 150.43/150.81 (define @t371 () (lambda @t80 @t370)) % 150.43/150.81 (define @t372 () (_ @t371 @t41 @t17)) % 150.43/150.81 (define @t373 () (forall @t44 @t372)) % 150.43/150.81 (define @t374 () (lambda @t19 @t373)) % 150.43/150.81 (define @t375 () (_ @t79 @t17)) % 150.43/150.81 (define @t376 () (lambda @t19 (=> @t375 (_ @t369 @t17)))) % 150.43/150.81 (define @t377 () (_ @t74 @t5 @t17)) % 150.43/150.81 (define @t378 () (_ tptp.mbox (lambda @t19 (forall @t37 (or (not @t308) @t377))))) % 150.43/150.81 (define @t379 () (lambda @t19 (=> @t375 (_ @t378 @t17)))) % 150.43/150.81 (define @t380 () (lambda @t147 (=> @t375 @t28))) % 150.43/150.81 (define @t381 () (or @t194 @t375)) % 150.43/150.81 (define @t382 () (=> @t36 @t375)) % 150.43/150.81 (define @t383 () (=> (_ @t76 @t2) (_ @t75 @t2))) % 150.43/150.81 (define @t384 () (lambda @t77 @t383)) % 150.43/150.81 (define @t385 () (_ @t384 @t5 @t17)) % 150.43/150.81 (define @t386 () (forall @t37 @t385)) % 150.43/150.81 (define @t387 () (lambda @t19 @t386)) % 150.43/150.81 (define @t388 () (_ @t76 @t17)) % 150.43/150.81 (define @t389 () (lambda @t19 (=> @t388 (_ @t75 @t17)))) % 150.43/150.81 (define @t390 () (lambda @t147 (=> @t388 @t28))) % 150.43/150.81 (define @t391 () (_ @t32 @t76)) % 150.43/150.81 (define @t392 () (lambda @t77 (_ (_ @t391 @t75) @t2))) % 150.43/150.81 (define @t393 () (_ @t32 @t79)) % 150.43/150.81 (define @t394 () (@quantifiers_skolemize @t207 1)) % 150.43/150.81 (define @t395 () (forall @t206 (or (not (_ @t89 @t88 @t208)) (_ @t89 (_ @t201 @t85 @t394) @t208)))) % 150.43/150.81 (define @t396 () (@quantifiers_skolemize @t207 4)) % 150.43/150.81 (define @t397 () (@quantifiers_skolemize @t207 5)) % 150.43/150.81 (define @t398 () (_ @t89 (_ @t201 @t209 @t397) @t396)) % 150.43/150.81 (define @t399 () (forall @t204 (or (not (_ @t89 @t203 @t396)) (_ @t89 (_ @t201 @t202 @t397) @t396)))) % 150.43/150.81 (define @t400 () (not @t399)) % 150.43/150.81 (define @t401 () (_ @t89 (_ @t91 @t90 @t208) @t396)) % 150.43/150.81 (define @t402 () (not @t401)) % 150.43/150.81 (define @t403 () (_ @t89 (_ @t201 @t209 @t394) @t208)) % 150.43/150.81 (define @t404 () (not @t403)) % 150.43/150.81 (define @t405 () (or @t404 @t402 @t400 @t398)) % 150.43/150.81 (define @t406 () (@quantifiers_skolemize @t207 2)) % 150.43/150.81 (define @t407 () (or (not (_ @t89 (_ @t87 @t86 @t406) @t208)) (_ @t89 (_ @t201 @t406 @t394) @t208))) % 150.43/150.81 (define @t408 () (and @t407 @t405)) % 150.43/150.81 (define @t409 () (not @t395)) % 150.43/150.81 (define @t410 () (or @t409 @t408)) % 150.43/150.81 (define @t411 () (@list true)) % 150.43/150.81 (define @t412 () (@list @t410)) % 150.43/150.81 (define @t413 () (@var "BOUND_VARIABLE_8335" $$unsorted)) % 150.43/150.81 (define @t414 () (@var "BOUND_VARIABLE_8334" tptp.mu)) % 150.43/150.81 (define @t415 () (@var "BOUND_VARIABLE_8449" (@ho-elim-sort (-> tptp.mu $$unsorted Bool)))) % 150.43/150.81 (define @t416 () (not (_ @t89 (_ @t201 @t415 @t414) @t413))) % 150.43/150.81 (define @t417 () (_ @t89 (_ @t201 (_ @t151 @t150 @t415) @t414) @t413)) % 150.43/150.81 (define @t418 () (@list @t415 @t414 @t413)) % 150.43/150.81 (define @t419 () (forall @t418 (= @t416 @t417))) % 150.43/150.81 (define @t420 () (@var "BOUND_VARIABLE_8333" (-> tptp.mu $$unsorted Bool))) % 150.43/150.81 (define @t421 () (forall (@list @t420 @t414 @t413) (= (not (_ @t420 @t414 @t413)) (_ @t155 @t420 @t414 @t413)))) % 150.43/150.81 (define @t422 () (_ @t89 (_ @t201 @t210 @t394) @t208)) % 150.43/150.81 (define @t423 () (forall @t418 (= @t417 @t416))) % 150.43/150.81 (define @t424 () (= @t422 @t404)) % 150.43/150.81 (define @t425 () (= @t404 @t422)) % 150.43/150.81 (define @t426 () (@list true false)) % 150.43/150.81 (define @t427 () (@list @t405)) % 150.43/150.81 (define @t428 () (not @t422)) % 150.43/150.81 (define @t429 () (not @t211)) % 150.43/150.81 (define @t430 () (or @t429 @t422)) % 150.43/150.81 (define @t431 () (not @t217)) % 150.43/150.81 (define @t432 () (_ @t89 @t212 @t396)) % 150.43/150.81 (define @t433 () (not @t432)) % 150.43/150.81 (define @t434 () (or @t433 @t398)) % 150.43/150.81 (define @t435 () (or @t214 @t402 @t432)) % 150.43/150.81 (define @t436 () (not @t435)) % 150.43/150.81 (assume @p1 @t1) % 150.43/150.81 (assume @p2 (= tptp.mdia (_ tptp.mdia_generic tptp.rel))) % 150.43/150.81 (assume @p3 (_ tptp.mvalid (_ tptp.mforall_indset @t10))) % 150.43/150.81 (assume @p4 (_ tptp.mvalid (_ tptp.mforall_indset @t13))) % 150.43/150.81 (assume @p5 @t15) % 150.43/150.81 (assume @p6 true) % 150.43/150.81 (step @p7 (= tptp.meq_ind @t18) :rule refl :args (@t18)) % 150.43/150.81 (step @p8 (= tptp.mtrue @t20) :rule refl :args (@t20)) % 150.43/150.81 (step @p9 (= tptp.mfalse @t21) :rule refl :args (@t21)) % 150.43/150.81 (step @p10 (= tptp.mnot @t26) :rule refl :args (@t26)) % 150.43/150.81 (step @p11 (= tptp.mor @t30) :rule refl :args (@t30)) % 150.43/150.81 (step @p12 (= tptp.mand @t31) :rule refl :args (@t31)) % 150.43/150.81 (step @p13 (= tptp.mimplies @t32) :rule refl :args (@t32)) % 150.43/150.81 (step @p14 (= tptp.mimplied @t33) :rule refl :args (@t33)) % 150.43/150.81 (step @p15 (= tptp.mequiv @t34) :rule refl :args (@t34)) % 150.43/150.81 (step @p16 (= tptp.mxor @t35) :rule refl :args (@t35)) % 150.43/150.81 (step @p17 (= tptp.mforall_ind @t40) :rule refl :args (@t40)) % 150.43/150.81 (step @p18 (= tptp.mforall_indset @t47) :rule refl :args (@t47)) % 150.43/150.81 (step @p19 (= tptp.mforall_prop @t53) :rule refl :args (@t53)) % 150.43/150.81 (step @p20 (= tptp.mexists_ind @t54) :rule refl :args (@t54)) % 150.43/150.81 (step @p21 (= tptp.mexists_indset @t55) :rule refl :args (@t55)) % 150.43/150.81 (step @p22 (= tptp.mexists_prop @t56) :rule refl :args (@t56)) % 150.43/150.81 (step @p23 (= tptp.mbox_generic @t66) :rule refl :args (@t66)) % 150.43/150.81 (step @p24 (= tptp.mdia_generic @t67) :rule refl :args (@t67)) % 150.43/150.81 (step @p25 (= tptp.mvalid @t70) :rule refl :args (@t70)) % 150.43/150.81 (step @p26 (= tptp.minvalid @t71) :rule refl :args (@t71)) % 150.43/150.81 (step @p27 (= tptp.god @t73) :rule refl :args (@t73)) % 150.43/150.81 (step @p28 (= tptp.essence @t83) :rule refl :args (@t83)) % 150.43/150.81 ; WARNING: add trust step for TRUST % 150.43/150.81 ; trust TRUST PREPROCESS_HO_ELIM % 150.43/150.81 (step @p29 :rule trust :premises () :args ((= (forall @t100 @t99) @t94))) % 150.43/150.81 (step @p30 :rule aci_norm :args ((= @t102 @t99))) % 150.43/150.81 (step @p31 :rule cong :premises (@p30) :args (@t103)) % 150.43/150.81 (step @p32 :rule quant-merge-prenex :args ((= (forall @t106 @t105) @t103))) % 150.43/150.81 (step @p33 :rule alpha_equiv :args (@t107 (@list @t84) (@list @t57))) % 150.43/150.81 (step @p34 :rule refl :args (@t98)) % 150.43/150.81 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t108)) % 150.43/150.81 (step @p36 :rule quant-miniscope-or :args ((= @t105 @t108))) % 150.43/150.81 (step @p37 :rule trans :premises (@p36 @p35)) % 150.43/150.81 (step @p38 :rule symm :premises (@p37)) % 150.43/150.81 (step @p39 :rule cong :premises (@p38) :args ((forall @t106 (or @t98 (forall @t63 (or @t110 @t109)))))) % 150.43/150.81 (step @p40 :rule trans :premises (@p39 @p32)) % 150.43/150.81 (step @p41 :rule trans :premises (@p40 @p31)) % 150.43/150.81 (step @p42 :rule refl :args (@t109)) % 150.43/150.81 (step @p43 :rule refl :args (@t112)) % 150.43/150.81 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t112 @t109))) % 150.43/150.81 (step @p45 :rule symm :premises (@p44)) % 150.43/150.81 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 150.43/150.81 (step @p47 :rule refl :args (@t110)) % 150.43/150.81 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t113)) % 150.43/150.81 (step @p49 :rule cong :premises (@p48) :args ((forall @t63 @t113))) % 150.43/150.81 (step @p50 :rule refl :args (@t114)) % 150.43/150.81 (step @p51 :rule refl :args (@t110)) % 150.43/150.81 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t115)) % 150.43/150.81 (step @p53 :rule cong :premises (@p52) :args (@t116)) % 150.43/150.81 (step @p54 :rule trans :premises (@p53 @p49)) % 150.43/150.81 (step @p55 :rule beta-reduce :args ((= @t119 @t116))) % 150.43/150.81 (step @p56 :rule trans :premises (@p55 @p54)) % 150.43/150.81 (step @p57 :rule refl :args (@t98)) % 150.43/150.81 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t120)) % 150.43/150.81 (step @p59 :rule cong :premises (@p58) :args ((forall @t106 @t120))) % 150.43/150.81 (step @p60 :rule trans :premises (@p59 @p41)) % 150.43/150.81 (step @p61 :rule refl :args (@t17)) % 150.43/150.81 (step @p62 :rule refl :args (@t111)) % 150.43/150.81 (step @p63 :rule beta-reduce :args ((= @t122 @t118))) % 150.43/150.81 (step @p64 :rule refl :args (tptp.mbox)) % 150.43/150.81 (step @p65 :rule cong :premises (@p64 @p63) :args ((= tptp.mbox @t122))) % 150.43/150.81 (step @p66 :rule refl :args (tptp.rel)) % 150.43/150.81 (step @p67 :rule refl :args (@t117)) % 150.43/150.81 (step @p68 :rule refl :args (@t58)) % 150.43/150.81 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t58 @t117))) % 150.43/150.81 (step @p70 :rule symm :premises (@p69)) % 150.43/150.81 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 150.43/150.81 (step @p72 :rule refl :args (@t121)) % 150.43/150.81 (step @p73 :rule refl :args (@t60)) % 150.43/150.81 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t60 @t121))) % 150.43/150.81 (step @p75 :rule symm :premises (@p74)) % 150.43/150.81 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 150.43/150.81 (step @p77 :rule cong :premises (@p76) :args (@t61)) % 150.43/150.81 (step @p78 :rule nary_cong :premises (@p77 @p71) :args (@t62)) % 150.43/150.81 (step @p79 :rule cong :premises (@p78) :args (@t64)) % 150.43/150.81 (step @p80 :rule cong :premises (@p79) :args (@t66)) % 150.43/150.81 (step @p81 :rule trans :premises (@p23 @p80)) % 150.43/150.81 (step @p82 :rule ho_cong :premises (@p81 @p66)) % 150.43/150.81 (step @p83 :rule cong :premises (@p64 @p82) :args (@t1)) % 150.43/150.81 (step @p84 :rule trans :premises (@p83 @p65)) % 150.43/150.81 (step @p85 :rule eq_resolve :premises (@p1 @p84)) % 150.43/150.81 (step @p86 :rule ho_cong :premises (@p85 @p62 @p61)) % 150.43/150.81 (step @p87 :rule nary_cong :premises (@p57 @p86) :args (@t124)) % 150.43/150.81 (step @p88 :rule cong :premises (@p87) :args (@t125)) % 150.43/150.81 (step @p89 :rule trans :premises (@p88 @p60)) % 150.43/150.81 (step @p90 :rule quant-merge-prenex :args ((= (forall @t19 @t126) @t125))) % 150.43/150.81 (step @p91 :rule beta-reduce :args ((= @t128 @t126))) % 150.43/150.81 (step @p92 :rule cong :premises (@p91) :args (@t129)) % 150.43/150.81 (step @p93 :rule trans :premises (@p92 @p90)) % 150.43/150.81 (step @p94 :rule beta-reduce :args ((= (_ @t131 @t127) @t129))) % 150.43/150.81 (step @p95 :rule trans :premises (@p94 @p93)) % 150.43/150.81 (step @p96 :rule refl :args (@t123)) % 150.43/150.81 (step @p97 :rule refl :args (@t132)) % 150.43/150.81 (step @p98 :rule cong :premises (@p97 @p96) :args ((= @t132 @t123))) % 150.43/150.81 (step @p99 :rule symm :premises (@p98)) % 150.43/150.81 (step @p100 :rule eq_resolve :premises (@p97 @p99)) % 150.43/150.81 (step @p101 :rule refl :args (@t97)) % 150.43/150.81 (step @p102 :rule refl :args (@t133)) % 150.43/150.81 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t133 @t97))) % 150.43/150.81 (step @p104 :rule symm :premises (@p103)) % 150.43/150.81 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 150.43/150.81 (step @p106 :rule cong :premises (@p105) :args (@t134)) % 150.43/150.81 (step @p107 :rule nary_cong :premises (@p106 @p100) :args (@t135)) % 150.43/150.81 (step @p108 :rule cong :premises (@p107) :args ((forall @t44 @t135))) % 150.43/150.81 (step @p109 :rule bool-impl-elim :args (@t133 @t132)) % 150.43/150.81 (step @p110 :rule cong :premises (@p109) :args ((forall @t44 @t136))) % 150.43/150.81 (step @p111 :rule trans :premises (@p110 @p108)) % 150.43/150.81 (step @p112 :rule beta-reduce :args ((= @t140 @t136))) % 150.43/150.81 (step @p113 :rule cong :premises (@p112) :args (@t141)) % 150.43/150.81 (step @p114 :rule trans :premises (@p113 @p111)) % 150.43/150.81 (step @p115 :rule cong :premises (@p114) :args (@t142)) % 150.43/150.81 (step @p116 :rule beta-reduce :args ((= (_ @t144 @t139) @t142))) % 150.43/150.81 (step @p117 :rule trans :premises (@p116 @p115)) % 150.43/150.81 (step @p118 :rule beta-reduce :args ((= (_ @t146 @t2) @t138))) % 150.43/150.81 (step @p119 :rule refl :args (@t2)) % 150.43/150.81 (step @p120 :rule beta-reduce :args ((= (_ @t148 @t11) @t146))) % 150.43/150.81 (step @p121 :rule refl :args (@t11)) % 150.43/150.81 (step @p122 :rule beta-reduce :args ((= @t149 @t148))) % 150.43/150.81 (step @p123 :rule ho_cong :premises (@p122 @p121)) % 150.43/150.81 (step @p124 :rule trans :premises (@p123 @p120)) % 150.43/150.81 (step @p125 :rule ho_cong :premises (@p124 @p119)) % 150.43/150.81 (step @p126 :rule trans :premises (@p125 @p118)) % 150.43/150.81 (step @p127 :rule cong :premises (@p126) :args ((lambda @t9 (_ (_ @t149 @t11) @t2)))) % 150.43/150.81 (step @p128 :rule refl :args (@t144)) % 150.43/150.81 (step @p129 :rule ho_cong :premises (@p128 @p127)) % 150.43/150.81 (step @p130 :rule trans :premises (@p129 @p117)) % 150.43/150.81 (step @p131 :rule refl :args (@t131)) % 150.43/150.81 (step @p132 :rule ho_cong :premises (@p131 @p130)) % 150.43/150.81 (step @p133 :rule trans :premises (@p132 @p95)) % 150.43/150.81 (step @p134 :rule refl :args (@t4)) % 150.43/150.81 (step @p135 :rule ho_cong :premises (@p13 @p134)) % 150.43/150.81 (step @p136 :rule ho_cong :premises (@p135 @p121)) % 150.43/150.81 (step @p137 :rule ho_cong :premises (@p136 @p119)) % 150.43/150.81 (step @p138 :rule cong :premises (@p137) :args (@t13)) % 150.43/150.81 (step @p139 :rule refl :args (@t143)) % 150.43/150.81 (step @p140 :rule refl :args (@t43)) % 150.43/150.81 (step @p141 :rule cong :premises (@p140 @p139) :args ((= @t43 @t143))) % 150.43/150.81 (step @p142 :rule symm :premises (@p141)) % 150.43/150.81 (step @p143 :rule eq_resolve :premises (@p140 @p142)) % 150.43/150.81 (step @p144 :rule cong :premises (@p143) :args (@t45)) % 150.43/150.81 (step @p145 :rule cong :premises (@p144) :args (@t47)) % 150.43/150.81 (step @p146 :rule trans :premises (@p18 @p145)) % 150.43/150.81 (step @p147 :rule ho_cong :premises (@p146 @p138)) % 150.43/150.81 (step @p148 :rule refl :args (@t130)) % 150.43/150.81 (step @p149 :rule refl :args (@t23)) % 150.43/150.81 (step @p150 :rule cong :premises (@p149 @p148) :args ((= @t23 @t130))) % 150.43/150.81 (step @p151 :rule symm :premises (@p150)) % 150.43/150.81 (step @p152 :rule eq_resolve :premises (@p149 @p151)) % 150.43/150.81 (step @p153 :rule cong :premises (@p152) :args (@t68)) % 150.43/150.81 (step @p154 :rule cong :premises (@p153) :args (@t70)) % 150.43/150.81 (step @p155 :rule trans :premises (@p25 @p154)) % 150.43/150.81 (step @p156 :rule ho_cong :premises (@p155 @p147)) % 150.43/150.81 (step @p157 :rule trans :premises (@p156 @p133)) % 150.43/150.81 (step @p158 :rule trans :premises (@p157 @p89 @p29)) % 150.43/150.81 (step @p159 :rule eq_resolve :premises (@p4 @p158)) % 150.43/150.81 (step @p160 :rule eq-symm :args (@t93 @t152)) % 150.43/150.81 (step @p161 :rule cong :premises (@p160) :args (@t154)) % 150.43/150.81 ; trust TRUST PREPROCESS_HO_ELIM % 150.43/150.81 (step @p162 :rule trust :premises () :args ((= @t156 @t154))) % 150.43/150.81 ; trust TRUST PREPROCESS_HO_ELIM % 150.43/150.81 (step @p163 :rule trust :premises () :args ((= @t164 @t156))) % 150.43/150.81 (step @p164 :rule quant-merge-prenex :args ((= (forall @t19 @t165) @t164))) % 150.43/150.81 (step @p165 :rule beta-reduce :args ((= @t167 @t165))) % 150.43/150.81 (step @p166 :rule cong :premises (@p165) :args (@t168)) % 150.43/150.81 (step @p167 :rule trans :premises (@p166 @p164)) % 150.43/150.81 (step @p168 :rule beta-reduce :args ((= (_ @t131 @t166) @t168))) % 150.43/150.81 (step @p169 :rule trans :premises (@p168 @p167)) % 150.43/150.81 (step @p170 :rule refl :args ((tptp.positive @t172 @t17))) % 150.43/150.81 (step @p171 :rule refl :args (@t17)) % 150.43/150.81 (step @p172 :rule refl :args (@t158)) % 150.43/150.81 (step @p173 :rule cong :premises (@p172) :args (@t159)) % 150.43/150.81 (step @p174 :rule cong :premises (@p173) :args (@t161)) % 150.43/150.81 (step @p175 :rule cong :premises (@p174 @p171) :args (@t162)) % 150.43/150.81 (step @p176 :rule trans :premises (@p175 @p170)) % 150.43/150.81 (step @p177 :rule refl :args (tptp.positive)) % 150.43/150.81 (step @p178 :rule ho_cong :premises (@p177 @p174)) % 150.43/150.81 (step @p179 :rule ho_cong :premises (@p178 @p171)) % 150.43/150.81 (step @p180 :rule cong :premises (@p179 @p176) :args ((= (_ (_ tptp.positive @t161) @t17) @t162))) % 150.43/150.81 (step @p181 :rule symm :premises (@p180)) % 150.43/150.81 (step @p182 :rule refl :args (@t173)) % 150.43/150.81 (step @p183 :rule eq_resolve :premises (@p182 @p181)) % 150.43/150.81 (step @p184 :rule refl :args (@t170)) % 150.43/150.81 (step @p185 :rule cong :premises (@p184 @p172) :args ((= @t170 @t158))) % 150.43/150.81 (step @p186 :rule symm :premises (@p185)) % 150.43/150.81 (step @p187 :rule eq_resolve :premises (@p184 @p186)) % 150.43/150.81 (step @p188 :rule cong :premises (@p187) :args (@t171)) % 150.43/150.81 (step @p189 :rule cong :premises (@p188) :args (@t172)) % 150.43/150.81 (step @p190 :rule ho_cong :premises (@p177 @p189)) % 150.43/150.81 (step @p191 :rule ho_cong :premises (@p190 @p171)) % 150.43/150.81 (step @p192 :rule trans :premises (@p191 @p183)) % 150.43/150.81 (step @p193 :rule cong :premises (@p106 @p192) :args (@t174)) % 150.43/150.81 (step @p194 :rule cong :premises (@p193) :args ((forall @t44 @t174))) % 150.43/150.81 (step @p195 :rule beta-reduce :args ((= @t178 @t174))) % 150.43/150.81 (step @p196 :rule cong :premises (@p195) :args (@t179)) % 150.43/150.81 (step @p197 :rule trans :premises (@p196 @p194)) % 150.43/150.81 (step @p198 :rule cong :premises (@p197) :args (@t180)) % 150.43/150.81 (step @p199 :rule beta-reduce :args ((= (_ @t144 @t177) @t180))) % 150.43/150.81 (step @p200 :rule trans :premises (@p199 @p198)) % 150.43/150.81 (step @p201 :rule beta-reduce :args ((= (_ (lambda @t19 (= @t182 @t181)) @t2) @t176))) % 150.43/150.81 (step @p202 :rule eq-symm :args (@t181 @t182)) % 150.43/150.81 (step @p203 :rule cong :premises (@p202) :args ((lambda @t19 (= @t181 @t182)))) % 150.43/150.81 (step @p204 :rule ho_cong :premises (@p203 @p119)) % 150.43/150.81 (step @p205 :rule trans :premises (@p204 @p201)) % 150.43/150.81 (step @p206 :rule refl :args (@t2)) % 150.43/150.81 (step @p207 :rule refl :args (@t182)) % 150.43/150.81 (step @p208 :rule alpha_equiv :args (@t185 (@list @t2) (@list @t157))) % 150.43/150.81 (step @p209 :rule ho_cong :premises (@p177 @p208)) % 150.43/150.81 (step @p210 :rule ho_cong :premises (@p209 @p171)) % 150.43/150.81 (step @p211 :rule cong :premises (@p210 @p207) :args (@t188)) % 150.43/150.81 (step @p212 :rule cong :premises (@p211) :args ((lambda @t19 @t188))) % 150.43/150.81 (step @p213 :rule ho_cong :premises (@p212 @p206)) % 150.43/150.81 (step @p214 :rule trans :premises (@p213 @p205)) % 150.43/150.81 (step @p215 :rule beta-reduce :args ((= @t190 @t182))) % 150.43/150.81 (step @p216 :rule refl :args (@t187)) % 150.43/150.81 (step @p217 :rule cong :premises (@p216 @p215) :args ((= @t187 @t190))) % 150.43/150.81 (step @p218 :rule eq-symm :args (@t190 @t187)) % 150.43/150.81 (step @p219 :rule trans :premises (@p218 @p217)) % 150.43/150.81 (step @p220 :rule cong :premises (@p219) :args (@t191)) % 150.43/150.81 (step @p221 :rule beta-reduce :args ((= (_ (lambda @t147 (= @t28 @t187)) @t189) @t191))) % 150.43/150.81 (step @p222 :rule trans :premises (@p221 @p220)) % 150.43/150.81 (step @p223 :rule beta-reduce :args ((= @t192 @t189))) % 150.43/150.81 (step @p224 :rule eq-symm :args (@t187 @t28)) % 150.43/150.81 (step @p225 :rule cong :premises (@p224) :args (@t193)) % 150.43/150.81 (step @p226 :rule 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@p241 :rule trans :premises (@p240 @p214)) % 150.43/150.81 (step @p242 :rule cong :premises (@p241) :args ((lambda @t9 (_ (_ (_ @t34 (_ tptp.positive @t197)) @t192) @t2)))) % 150.43/150.81 (step @p243 :rule ho_cong :premises (@p128 @p242)) % 150.43/150.81 (step @p244 :rule trans :premises (@p243 @p200)) % 150.43/150.81 (step @p245 :rule ho_cong :premises (@p131 @p244)) % 150.43/150.81 (step @p246 :rule trans :premises (@p245 @p169)) % 150.43/150.81 (step @p247 :rule ho_cong :premises (@p10 @p134)) % 150.43/150.81 (step @p248 :rule refl :args (@t6)) % 150.43/150.81 (step @p249 :rule ho_cong :premises (@p10 @p248)) % 150.43/150.81 (step @p250 :rule ho_cong :premises (@p249 @p119)) % 150.43/150.81 (step @p251 :rule cong :premises (@p250) :args (@t8)) % 150.43/150.81 (step @p252 :rule ho_cong :premises (@p233 @p251)) % 150.43/150.81 (step @p253 :rule ho_cong :premises (@p15 @p252)) % 150.43/150.81 (step @p254 :rule ho_cong :premises (@p253 @p247)) % 150.43/150.81 (step @p255 :rule ho_cong 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150.43/150.81 (step @p270 :rule implies_elim :premises (@p269)) % 150.43/150.81 (step @p271 :rule chain_m_resolution :premises (@p270 @p261) :args (@t217 @t218 (@list @t215))) % 150.43/150.81 ; trust TRUST PREPROCESS_HO_ELIM % 150.43/150.81 (step @p272 :rule trust :premises () :args ((= (not (forall @t232 (or @t231 (and @t228 @t226)))) (not @t207)))) % 150.43/150.81 (step @p273 :rule aci_norm :args ((= @t234 @t226))) % 150.43/150.81 (step @p274 :rule refl :args (@t228)) % 150.43/150.81 (step @p275 :rule nary_cong :premises (@p274 @p273) :args (@t235)) % 150.43/150.81 (step @p276 :rule refl :args (@t231)) % 150.43/150.81 (step @p277 :rule nary_cong :premises (@p276 @p275) :args (@t236)) % 150.43/150.81 (step @p278 :rule cong :premises (@p277) :args (@t237)) % 150.43/150.81 (step @p279 :rule quant-merge-prenex :args ((= (forall @t240 @t239) @t237))) % 150.43/150.81 (step @p280 :rule alpha_equiv :args (@t241 (@list @t198 @t199) (@list @t57 @t242))) % 150.43/150.81 (step @p281 :rule refl 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(step @p308 :rule beta-reduce :args ((= @t268 @t263))) % 150.43/150.81 (step @p309 :rule nary_cong :premises (@p51 @p308) :args (@t269)) % 150.43/150.81 (step @p310 :rule cong :premises (@p309) :args (@t270)) % 150.43/150.81 (step @p311 :rule trans :premises (@p310 @p307)) % 150.43/150.81 (step @p312 :rule beta-reduce :args ((= @t271 @t270))) % 150.43/150.81 (step @p313 :rule trans :premises (@p312 @p311)) % 150.43/150.81 (step @p314 :rule refl :args (@t225)) % 150.43/150.81 (step @p315 :rule nary_cong :premises (@p314 @p313) :args (@t272)) % 150.43/150.81 (step @p316 :rule nary_cong :premises (@p274 @p315) :args (@t273)) % 150.43/150.81 (step @p317 :rule nary_cong :premises (@p276 @p316) :args (@t274)) % 150.43/150.81 (step @p318 :rule cong :premises (@p317) :args (@t275)) % 150.43/150.81 (step @p319 :rule trans :premises (@p318 @p296)) % 150.43/150.81 (step @p320 :rule cong :premises (@p319) :args ((not @t275))) % 150.43/150.81 (step @p321 :rule refl :args (@t267)) % 150.43/150.81 (step @p322 :rule ho_cong :premises (@p85 @p321 @p61)) % 150.43/150.81 (step @p323 :rule nary_cong :premises (@p314 @p322) :args (@t276)) % 150.43/150.81 (step @p324 :rule nary_cong :premises (@p274 @p323) :args (@t277)) % 150.43/150.81 (step @p325 :rule nary_cong :premises (@p276 @p324) :args (@t278)) % 150.43/150.81 (step @p326 :rule cong :premises (@p325) :args (@t279)) % 150.43/150.81 (step @p327 :rule cong :premises (@p326) :args ((not @t279))) % 150.43/150.81 (step @p328 :rule trans :premises (@p327 @p320)) % 150.43/150.81 (step @p329 :rule quant-merge-prenex :args ((= (forall @t19 @t280) @t279))) % 150.43/150.81 (step @p330 :rule beta-reduce :args ((= @t282 @t280))) % 150.43/150.81 (step @p331 :rule cong :premises (@p330) :args (@t283)) % 150.43/150.81 (step @p332 :rule trans :premises (@p331 @p329)) % 150.43/150.81 (step @p333 :rule beta-reduce :args ((= (_ @t131 @t281) @t283))) % 150.43/150.81 (step @p334 :rule trans :premises (@p333 @p332)) % 150.43/150.81 (step @p335 :rule quant-merge-prenex :args ((= (forall @t37 @t285) @t280))) % 150.43/150.81 (step @p336 :rule alpha_equiv :args (@t286 (@list @t219) @t287)) % 150.43/150.81 (step @p337 :rule quant-unused-vars :args ((= @t288 @t286))) % 150.43/150.81 (step @p338 :rule trans :premises (@p337 @p336)) % 150.43/150.81 (step @p339 :rule alpha_equiv :args (@t289 (@list @t227) @t287)) % 150.43/150.81 (step @p340 :rule quant-unused-vars :args ((= @t290 @t289))) % 150.43/150.81 (step @p341 :rule trans :premises (@p340 @p339)) % 150.43/150.81 (step @p342 :rule nary_cong :premises (@p341 @p338) :args (@t291)) % 150.43/150.81 (step @p343 :rule quant-miniscope-and :args ((= @t292 @t291))) % 150.43/150.81 (step @p344 :rule trans :premises (@p343 @p342)) % 150.43/150.81 (step @p345 :rule nary_cong :premises (@p289 @p344) :args (@t293)) % 150.43/150.81 (step @p346 :rule quant-miniscope-or :args ((= @t285 @t293))) % 150.43/150.81 (step @p347 :rule trans :premises (@p346 @p345)) % 150.43/150.81 (step @p348 :rule symm 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150.43/150.81 (step @p362 :rule refl :args (@t230)) % 150.43/150.81 (step @p363 :rule cong :premises (@p362 @p361) :args (@t313)) % 150.43/150.81 (step @p364 :rule cong :premises (@p363) :args (@t314)) % 150.43/150.81 (step @p365 :rule beta-reduce :args ((= (_ (lambda @t147 (=> @t230 @t28)) @t311) @t314))) % 150.43/150.81 (step @p366 :rule trans :premises (@p365 @p364)) % 150.43/150.81 (step @p367 :rule beta-reduce :args ((= (_ (lambda @t7 @t302) @t5) @t311))) % 150.43/150.81 (step @p368 :rule refl :args (@t5)) % 150.43/150.81 (step @p369 :rule refl :args (@t294)) % 150.43/150.81 (step @p370 :rule alpha_equiv :args (@t315 @t287 (@list @t221))) % 150.43/150.81 (step @p371 :rule cong :premises (@p370) :args (@t316)) % 150.43/150.81 (step @p372 :rule nary_cong :premises (@p371 @p369) :args (@t317)) % 150.43/150.81 (step @p373 :rule cong :premises (@p372) :args (@t318)) % 150.43/150.81 (step @p374 :rule cong :premises (@p373) :args (@t319)) % 150.43/150.81 (step @p375 :rule cong :premises (@p374 @p206) :args (@t320)) % 150.43/150.81 (step @p376 :rule refl :args (@t300)) % 150.43/150.81 (step @p377 :rule nary_cong :premises (@p376 @p375) :args (@t321)) % 150.43/150.81 (step @p378 :rule cong :premises (@p377) :args ((forall @t44 @t321))) % 150.43/150.81 (step @p379 :rule refl :args (@t294)) % 150.43/150.81 (step @p380 :rule beta-reduce :args ((= @t323 @t315))) % 150.43/150.81 (step @p381 :rule cong :premises (@p380) :args (@t324)) % 150.43/150.81 (step @p382 :rule nary_cong :premises (@p381 @p379) :args (@t325)) % 150.43/150.81 (step @p383 :rule cong :premises (@p382) :args (@t326)) % 150.43/150.81 (step @p384 :rule cong :premises (@p383) :args (@t327)) % 150.43/150.81 (step @p385 :rule cong :premises (@p384 @p119) :args (@t328)) % 150.43/150.81 (step @p386 :rule refl :args (@t300)) % 150.43/150.81 (step @p387 :rule nary_cong :premises (@p386 @p385) :args (@t329)) % 150.43/150.81 (step @p388 :rule cong :premises (@p387) :args (@t330)) % 150.43/150.81 (step @p389 :rule trans :premises (@p388 @p378)) % 150.43/150.81 (step @p390 :rule beta-reduce :args ((= (_ @t331 @t2) @t301))) % 150.43/150.81 (step @p391 :rule beta-reduce :args ((= @t332 @t331))) % 150.43/150.81 (step @p392 :rule ho_cong :premises (@p391 @p119)) % 150.43/150.81 (step @p393 :rule trans :premises (@p392 @p390)) % 150.43/150.81 (step @p394 :rule nary_cong :premises (@p393 @p389) :args (@t333)) % 150.43/150.81 (step @p395 :rule cong :premises (@p394) :args (@t334)) % 150.43/150.81 (step @p396 :rule beta-reduce :args ((= (_ @t335 @t322) @t334))) % 150.43/150.81 (step @p397 :rule trans :premises (@p396 @p395)) % 150.43/150.81 (step @p398 :rule refl :args (@t322)) % 150.43/150.81 ; WARNING: add trust step for TRUST_THEORY_REWRITE % 150.43/150.81 ; trust TRUST_THEORY_REWRITE % 150.43/150.81 (step @p399 :rule trust :premises () :args ((= @t343 @t335))) % 150.43/150.81 (step @p400 :rule ho_cong :premises (@p399 @p398)) % 150.43/150.81 (step @p401 :rule trans :premises (@p400 @p397)) % 150.43/150.81 (step @p402 :rule ho_cong :premises (@p401 @p368)) % 150.43/150.81 (step @p403 :rule trans :premises (@p402 @p367)) % 150.43/150.81 (step @p404 :rule refl :args (@t28)) % 150.43/150.81 (step @p405 :rule beta-reduce :args ((= @t344 @t230))) % 150.43/150.81 (step @p406 :rule cong :premises (@p405 @p404) :args (@t345)) % 150.43/150.81 (step @p407 :rule cong :premises (@p406) :args (@t346)) % 150.43/150.81 (step @p408 :rule beta-reduce :args ((= (_ @t32 @t331) @t346))) % 150.43/150.81 (step @p409 :rule trans :premises (@p408 @p407)) % 150.43/150.81 (step @p410 :rule refl :args (@t32)) % 150.43/150.81 (step @p411 :rule ho_cong :premises (@p410 @p391)) % 150.43/150.81 (step @p412 :rule trans :premises (@p411 @p409)) % 150.43/150.81 (step @p413 :rule ho_cong :premises (@p412 @p403)) % 150.43/150.81 (step @p414 :rule trans :premises (@p413 @p366)) % 150.43/150.81 (step @p415 :rule ho_cong :premises (@p414 @p119)) % 150.43/150.81 (step @p416 :rule trans :premises (@p415 @p360)) % 150.43/150.81 (step @p417 :rule cong :premises (@p416) :args (@t347)) % 150.43/150.81 (step @p418 :rule refl :args (@t309)) % 150.43/150.81 (step @p419 :rule ho_cong :premises (@p418 @p417)) % 150.43/150.81 (step @p420 :rule trans :premises (@p419 @p359)) % 150.43/150.81 (step @p421 :rule ho_cong :premises (@p131 @p420)) % 150.43/150.81 (step @p422 :rule trans :premises (@p421 @p334)) % 150.43/150.81 (step @p423 :rule cong :premises (@p422) :args ((not (_ @t131 (_ @t309 @t347))))) % 150.43/150.81 (step @p424 :rule beta-reduce :args ((= (_ (lambda @t19 @t230) @t2) @t301))) % 150.43/150.81 (step @p425 :rule refl :args (@t229)) % 150.43/150.81 (step @p426 :rule refl :args (@t348)) % 150.43/150.81 (step @p427 :rule cong :premises (@p426 @p425) :args ((= @t348 @t229))) % 150.43/150.81 (step @p428 :rule symm :premises (@p427)) % 150.43/150.81 (step @p429 :rule eq_resolve :premises (@p426 @p428)) % 150.43/150.81 (step @p430 :rule nary_cong :premises (@p106 @p429) :args (@t349)) % 150.43/150.81 (step @p431 :rule cong :premises (@p430) :args ((forall @t44 @t349))) % 150.43/150.81 (step @p432 :rule bool-impl-elim :args (@t133 @t348)) % 150.43/150.81 (step @p433 :rule cong :premises (@p432) :args ((forall @t44 @t350))) % 150.43/150.81 (step @p434 :rule trans :premises (@p433 @p431)) % 150.43/150.81 (step @p435 :rule beta-reduce :args ((= @t353 @t350))) % 150.43/150.81 (step @p436 :rule cong :premises (@p435) :args (@t354)) % 150.43/150.81 (step @p437 :rule trans :premises (@p436 @p434)) % 150.43/150.81 (step @p438 :rule cong :premises (@p437) :args (@t355)) % 150.43/150.81 (step @p439 :rule beta-reduce :args ((= (_ @t144 @t352) @t355))) % 150.43/150.81 (step @p440 :rule trans :premises (@p439 @p438)) % 150.43/150.81 (step @p441 :rule beta-reduce :args ((= (_ @t356 @t2) @t351))) % 150.43/150.81 (step @p442 :rule beta-reduce :args ((= (_ @t148 @t6) @t356))) % 150.43/150.81 (step @p443 :rule ho_cong :premises (@p122 @p248)) % 150.43/150.81 (step @p444 :rule trans :premises (@p443 @p442)) % 150.43/150.81 (step @p445 :rule ho_cong :premises (@p444 @p119)) % 150.43/150.81 (step @p446 :rule trans :premises (@p445 @p441)) % 150.43/150.81 (step @p447 :rule cong :premises (@p446) :args ((lambda @t9 (_ (_ @t149 @t6) @t2)))) % 150.43/150.81 (step @p448 :rule ho_cong :premises (@p128 @p447)) % 150.43/150.81 (step @p449 :rule trans :premises (@p448 @p440)) % 150.43/150.81 (step @p450 :rule ho_cong :premises (@p449 @p119)) % 150.43/150.81 (step @p451 :rule trans :premises (@p450 @p424)) % 150.43/150.81 (step @p452 :rule ho_cong :premises (@p135 @p248)) % 150.43/150.81 (step @p453 :rule ho_cong :premises (@p452 @p119)) % 150.43/150.81 (step @p454 :rule cong :premises (@p453) :args (@t72)) % 150.43/150.81 (step @p455 :rule ho_cong :premises (@p146 @p454)) % 150.43/150.81 (step @p456 :rule ho_cong :premises (@p455 @p119)) % 150.43/150.81 (step @p457 :rule trans :premises (@p456 @p451)) % 150.43/150.81 (step @p458 :rule cong :premises (@p457) :args (@t73)) % 150.43/150.81 (step @p459 :rule trans :premises (@p27 @p458)) % 150.43/150.81 (step @p460 :rule beta-reduce :args ((= (_ (lambda @t19 (and @t36 @t358)) @t2) @t342))) % 150.43/150.81 (step @p461 :rule beta-reduce :args ((= @t360 @t358))) % 150.43/150.81 (step @p462 :rule refl :args (@t36)) % 150.43/150.81 (step @p463 :rule nary_cong :premises (@p462 @p461) :args (@t361)) % 150.43/150.81 (step @p464 :rule cong :premises (@p463) :args (@t362)) % 150.43/150.81 (step @p465 :rule beta-reduce :args ((= (_ @t363 @t359) @t362))) % 150.43/150.81 (step @p466 :rule trans :premises (@p465 @p464)) % 150.43/150.81 (step @p467 :rule refl :args ((tptp.mbox @t364 @t17))) % 150.43/150.81 (step @p468 :rule refl :args (@t336)) % 150.43/150.81 (step @p469 :rule refl :args (@t337)) % 150.43/150.81 (step @p470 :rule cong :premises (@p469) :args (@t338)) % 150.43/150.81 (step @p471 :rule nary_cong :premises (@p470 @p468) :args (@t339)) % 150.43/150.81 (step @p472 :rule cong :premises (@p471) :args (@t340)) % 150.43/150.81 (step @p473 :rule cong :premises (@p472) :args (@t341)) % 150.43/150.81 (step @p474 :rule cong :premises (@p473 @p171) :args (@t357)) % 150.43/150.81 (step @p475 :rule trans :premises (@p474 @p467)) % 150.43/150.81 (step @p476 :rule refl :args (tptp.mbox)) % 150.43/150.81 (step @p477 :rule ho_cong :premises (@p476 @p473)) % 150.43/150.81 (step @p478 :rule ho_cong :premises (@p477 @p171)) % 150.43/150.81 (step @p479 :rule cong :premises (@p478 @p475) :args ((= @t365 @t357))) % 150.43/150.81 (step @p480 :rule symm :premises (@p479)) % 150.43/150.81 (step @p481 :rule refl :args ((_ (_ tptp.mbox @t364) @t17))) % 150.43/150.81 (step @p482 :rule eq_resolve :premises (@p481 @p480)) % 150.43/150.81 (step @p483 :rule cong :premises (@p429) :args (@t366)) % 150.43/150.81 (step @p484 :rule nary_cong :premises (@p483 @p482) :args (@t367)) % 150.43/150.81 (step @p485 :rule cong :premises (@p484) :args ((forall @t44 @t367))) % 150.43/150.81 (step @p486 :rule bool-impl-elim :args (@t348 @t365)) % 150.43/150.81 (step @p487 :rule cong :premises (@p486) :args ((forall @t44 @t368))) % 150.43/150.81 (step @p488 :rule trans :premises (@p487 @p485)) % 150.43/150.81 (step @p489 :rule beta-reduce :args ((= @t372 @t368))) % 150.43/150.81 (step @p490 :rule cong :premises (@p489) :args (@t373)) % 150.43/150.81 (step @p491 :rule trans :premises (@p490 @p488)) % 150.43/150.81 (step @p492 :rule cong :premises (@p491) :args (@t374)) % 150.43/150.81 (step @p493 :rule beta-reduce :args ((= (_ @t144 @t371) @t374))) % 150.43/150.81 (step @p494 :rule trans :premises (@p493 @p492)) % 150.43/150.81 (step @p495 :rule beta-reduce :args ((= (_ @t376 @t2) @t370))) % 150.43/150.81 ; trust TRUST_THEORY_REWRITE % 150.43/150.81 (step @p496 :rule trust :premises () :args ((= @t379 @t376))) % 150.43/150.81 (step @p497 :rule beta-reduce :args ((= (_ @t380 @t378) @t379))) % 150.43/150.81 (step @p498 :rule trans :premises (@p497 @p496)) % 150.43/150.81 (step @p499 :rule refl :args (@t377)) % 150.43/150.81 (step @p500 :rule refl :args (@t375)) % 150.43/150.81 (step @p501 :rule cong :premises (@p500 @p499) :args ((= @t375 @t377))) % 150.43/150.81 (step @p502 :rule symm :premises (@p501)) % 150.43/150.81 (step @p503 :rule eq_resolve :premises (@p500 @p502)) % 150.43/150.81 (step @p504 :rule refl :args (@t308)) % 150.43/150.81 (step @p505 :rule refl :args (@t36)) % 150.43/150.81 (step @p506 :rule cong :premises (@p505 @p504) :args ((= @t36 @t308))) % 150.43/150.81 (step @p507 :rule symm :premises (@p506)) % 150.43/150.81 (step @p508 :rule eq_resolve :premises (@p505 @p507)) % 150.43/150.81 (step @p509 :rule cong :premises (@p508) :args (@t194)) % 150.43/150.81 (step @p510 :rule nary_cong :premises (@p509 @p503) :args (@t381)) % 150.43/150.81 (step @p511 :rule cong :premises (@p510) :args ((forall @t37 @t381))) % 150.43/150.81 (step @p512 :rule bool-impl-elim :args (@t36 @t375)) % 150.43/150.81 (step @p513 :rule cong :premises (@p512) :args ((forall @t37 @t382))) % 150.43/150.81 (step @p514 :rule trans :premises (@p513 @p511)) % 150.43/150.81 (step @p515 :rule beta-reduce :args ((= @t385 @t382))) % 150.43/150.81 (step @p516 :rule cong :premises (@p515) :args (@t386)) % 150.43/150.81 (step @p517 :rule trans :premises (@p516 @p514)) % 150.43/150.81 (step @p518 :rule cong :premises (@p517) :args (@t387)) % 150.43/150.81 (step @p519 :rule beta-reduce :args ((= (_ @t309 @t384) @t387))) % 150.43/150.81 (step @p520 :rule trans :premises (@p519 @p518)) % 150.43/150.81 (step @p521 :rule beta-reduce :args ((= (_ @t389 @t2) @t383))) % 150.43/150.81 (step @p522 :rule beta-reduce :args ((= (_ @t390 @t75) @t389))) % 150.43/150.81 (step @p523 :rule refl :args (@t75)) % 150.43/150.81 (step @p524 :rule beta-reduce :args ((= @t391 @t390))) % 150.43/150.81 (step @p525 :rule ho_cong :premises (@p524 @p523)) % 150.43/150.81 (step @p526 :rule trans :premises (@p525 @p522)) % 150.43/150.81 (step @p527 :rule ho_cong :premises (@p526 @p119)) % 150.43/150.81 (step @p528 :rule trans :premises (@p527 @p521)) % 150.43/150.81 (step @p529 :rule cong :premises (@p528) :args (@t392)) % 150.43/150.81 (step @p530 :rule ho_cong :premises (@p418 @p529)) % 150.43/150.81 (step @p531 :rule trans :premises (@p530 @p520)) % 150.43/150.81 (step @p532 :rule ho_cong :premises (@p64 @p531)) % 150.43/150.81 (step @p533 :rule beta-reduce :args ((= @t393 @t380))) % 150.43/150.81 (step @p534 :rule ho_cong :premises (@p533 @p532)) % 150.43/150.81 (step @p535 :rule trans :premises (@p534 @p498)) % 150.43/150.81 (step @p536 :rule ho_cong :premises (@p535 @p119)) % 150.43/150.81 (step @p537 :rule trans :premises (@p536 @p495)) % 150.43/150.81 (step @p538 :rule cong :premises (@p537) :args ((lambda @t80 (_ (_ @t393 (_ tptp.mbox (_ @t309 @t392))) @t2)))) % 150.43/150.81 (step @p539 :rule ho_cong :premises (@p128 @p538)) % 150.43/150.81 (step @p540 :rule trans :premises (@p539 @p494)) % 150.43/150.81 (step @p541 :rule beta-reduce :args ((= (_ @t31 @t6) @t363))) % 150.43/150.81 (step @p542 :rule ho_cong :premises (@p541 @p540)) % 150.43/150.81 (step @p543 :rule trans :premises (@p542 @p466)) % 150.43/150.81 (step @p544 :rule ho_cong :premises (@p543 @p119)) % 150.43/150.81 (step @p545 :rule trans :premises (@p544 @p460)) % 150.43/150.81 (step @p546 :rule refl :args (@t76)) % 150.43/150.81 (step @p547 :rule ho_cong :premises (@p13 @p546)) % 150.43/150.81 (step @p548 :rule ho_cong :premises (@p547 @p523)) % 150.43/150.81 (step @p549 :rule ho_cong :premises (@p548 @p119)) % 150.43/150.81 (step @p550 :rule cong :premises (@p549) :args (@t78)) % 150.43/150.81 (step @p551 :rule cong :premises (@p508) :args (@t38)) % 150.43/150.81 (step @p552 :rule cong :premises (@p551) :args (@t40)) % 150.43/150.81 (step @p553 :rule trans :premises (@p17 @p552)) % 150.43/150.81 (step @p554 :rule ho_cong :premises (@p553 @p550)) % 150.43/150.81 (step @p555 :rule ho_cong :premises (@p64 @p554)) % 150.43/150.81 (step @p556 :rule refl :args (@t79)) % 150.43/150.81 (step @p557 :rule ho_cong :premises (@p13 @p556)) % 150.43/150.81 (step @p558 :rule ho_cong :premises (@p557 @p555)) % 150.43/150.81 (step @p559 :rule ho_cong :premises (@p558 @p119)) % 150.43/150.81 (step @p560 :rule cong :premises (@p559) :args (@t81)) % 150.43/150.81 (step @p561 :rule ho_cong :premises (@p146 @p560)) % 150.43/150.81 (step @p562 :rule ho_cong :premises (@p12 @p248)) % 150.43/150.81 (step @p563 :rule ho_cong :premises (@p562 @p561)) % 150.43/150.81 (step @p564 :rule ho_cong :premises (@p563 @p119)) % 150.43/150.81 (step @p565 :rule trans :premises (@p564 @p545)) % 150.43/150.81 (step @p566 :rule cong :premises (@p565) :args (@t83)) % 150.43/150.81 (step @p567 :rule trans :premises (@p28 @p566)) % 150.43/150.81 (step @p568 :rule ho_cong :premises (@p567 @p459)) % 150.43/150.81 (step @p569 :rule ho_cong :premises (@p568 @p368)) % 150.43/150.81 (step @p570 :rule ho_cong :premises (@p459 @p368)) % 150.43/150.81 (step @p571 :rule ho_cong :premises (@p13 @p570)) % 150.43/150.81 (step @p572 :rule ho_cong :premises (@p571 @p569)) % 150.43/150.81 (step @p573 :rule ho_cong :premises (@p572 @p119)) % 150.43/150.81 (step @p574 :rule cong :premises (@p573) :args (@t14)) % 150.43/150.81 (step @p575 :rule ho_cong :premises (@p553 @p574)) % 150.43/150.81 (step @p576 :rule ho_cong :premises (@p155 @p575)) % 150.43/150.81 (step @p577 :rule cong :premises (@p576) :args (@t15)) % 150.43/150.81 (step @p578 :rule trans :premises (@p577 @p423)) % 150.43/150.81 (step @p579 :rule trans :premises (@p578 @p328 @p272)) % 150.43/150.81 (step @p580 :rule eq_resolve :premises (@p5 @p579)) % 150.43/150.81 (step @p581 :rule skolemize :premises (@p580)) % 150.43/150.81 (step @p582 :rule bool-double-not-elim :args (@t395)) % 150.43/150.81 (step @p583 :rule refl :args (@t410)) % 150.43/150.81 (step @p584 :rule nary_cong :premises (@p583 @p582) :args ((or @t410 (not @t409)))) % 150.43/150.81 (step @p585 :rule cnf_or_neg :args (@t410 0)) % 150.43/150.81 (step @p586 :rule eq_resolve :premises (@p585 @p584)) % 150.43/150.81 (step @p587 :rule reordering :premises (@p586) :args ((or @t395 @t410))) % 150.43/150.81 (step @p588 :rule chain_m_resolution :premises (@p587 @p581) :args (@t395 @t411 @t412)) % 150.43/150.81 (step @p589 :rule instantiate :premises (@p588) :args ((@list @t210))) % 150.43/150.81 (step @p590 :rule eq-symm :args (@t416 @t417)) % 150.43/150.81 (step @p591 :rule cong :premises (@p590) :args (@t419)) % 150.43/150.81 ; trust TRUST PREPROCESS_HO_ELIM % 150.43/150.81 (step @p592 :rule trust :premises () :args ((= @t421 @t419))) % 150.43/150.81 (step @p593 :rule trans :premises (@p592 @p591)) % 150.43/150.81 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 150.43/150.81 (step @p594 :rule trust :premises () :args (@t421)) % 150.43/150.81 (step @p595 :rule eq_resolve :premises (@p594 @p593)) % 150.43/150.81 (step @p596 :rule eq-symm :args (@t422 @t404)) % 150.43/150.81 (step @p597 :rule refl :args (@t423)) % 150.43/150.81 (step @p598 :rule cong :premises (@p597 @p596) :args ((=> @t423 @t424))) % 150.43/150.81 (assume-push @p661 @t423) % 150.43/150.81 (step @p600 :rule instantiate :premises (@p595) :args ((@list @t209 @t394 @t208))) % 150.43/150.81 (step-pop @p662 :rule scope :premises (@p600)) % 150.43/150.81 (step @p601 :rule process_scope :premises (@p662) :args (@t424)) % 150.43/150.81 (step @p603 :rule eq_resolve :premises (@p601 @p598)) % 150.43/150.81 (step @p604 :rule implies_elim :premises (@p603)) % 150.43/150.81 (step @p605 :rule chain_m_resolution :premises (@p604 @p595) :args (@t425 @t218 (@list @t423))) % 150.43/150.81 (step @p606 :rule instantiate :premises (@p588) :args ((@list @t406))) % 150.43/150.81 (step @p607 :rule cnf_or_neg :args (@t410 1)) % 150.43/150.81 (step @p608 :rule chain_m_resolution :premises (@p607 @p581) :args ((not @t408) @t411 @t412)) % 150.43/150.81 (step @p609 :rule cnf_and_neg :args (@t408)) % 150.43/150.81 (step @p610 :rule chain_m_resolution :premises (@p609 @p608 @p606) :args ((not @t405) @t426 (@list @t408 @t407))) % 150.43/150.81 (step @p611 :rule bool-double-not-elim :args (@t403)) % 150.43/150.81 (step @p612 :rule refl :args (@t405)) % 150.43/150.81 (step @p613 :rule nary_cong :premises (@p612 @p611) :args ((or @t405 (not @t404)))) % 150.43/150.81 (step @p614 :rule cnf_or_neg :args (@t405 0)) % 150.43/150.81 (step @p615 :rule eq_resolve :premises (@p614 @p613)) % 150.43/150.81 (step @p616 :rule reordering :premises (@p615) :args ((or @t403 @t405))) % 150.43/150.81 (step @p617 :rule chain_m_resolution :premises (@p616 @p610) :args (@t403 @t411 @t427)) % 150.43/150.81 (step @p618 :rule cnf_equiv_pos2 :args (@t425)) % 150.43/150.81 (step @p619 :rule reordering :premises (@p618) :args ((or @t404 @t428 (not @t425)))) % 150.43/150.81 (step @p620 :rule chain_m_resolution :premises (@p619 @p617 @p605) :args (@t428 (@list false false) (@list @t403 @t425))) % 150.43/150.81 (step @p621 :rule cnf_or_pos :args (@t430)) % 150.43/150.81 (step @p622 :rule reordering :premises (@p621) :args ((or @t429 @t422 (not @t430)))) % 150.43/150.81 (step @p623 :rule chain_m_resolution :premises (@p622 @p620 @p589) :args (@t429 @t426 (@list @t422 @t430))) % 150.43/150.81 (step @p624 :rule refl :args (@t211)) % 150.43/150.81 (step @p625 :rule bool-double-not-elim :args (@t213)) % 150.43/150.81 (step @p626 :rule refl :args (@t431)) % 150.43/150.81 (step @p627 :rule nary_cong :premises (@p626 @p625 @p624) :args ((or @t431 (not @t214) @t211))) % 150.43/150.81 (step @p628 :rule cnf_equiv_pos1 :args (@t217)) % 150.43/150.81 (step @p629 :rule eq_resolve :premises (@p628 @p627)) % 150.43/150.81 (step @p630 :rule reordering :premises (@p629) :args ((or @t213 @t211 @t431))) % 150.43/150.81 (step @p631 :rule chain_m_resolution :premises (@p630 @p623 @p271) :args (@t213 @t426 (@list @t211 @t217))) % 150.43/150.81 (step @p632 :rule bool-double-not-elim :args (@t399)) % 150.43/150.81 (step @p633 :rule nary_cong :premises (@p612 @p632) :args ((or @t405 (not @t400)))) % 150.43/150.81 (step @p634 :rule cnf_or_neg :args (@t405 2)) % 150.43/150.81 (step @p635 :rule eq_resolve :premises (@p634 @p633)) % 150.43/150.81 (step @p636 :rule reordering :premises (@p635) :args ((or @t399 @t405))) % 150.43/150.81 (step @p637 :rule chain_m_resolution :premises (@p636 @p610) :args (@t399 @t411 @t427)) % 150.43/150.81 (step @p638 :rule instantiate :premises (@p637) :args ((@list @t209))) % 150.43/150.81 (step @p639 :rule cnf_or_neg :args (@t405 3)) % 150.43/150.81 (step @p640 :rule chain_m_resolution :premises (@p639 @p610) :args ((not @t398) @t411 @t427)) % 150.43/150.81 (step @p641 :rule cnf_or_pos :args (@t434)) % 150.43/150.81 (step @p642 :rule reordering :premises (@p641) :args ((or @t398 @t433 (not @t434)))) % 150.43/150.81 (step @p643 :rule chain_m_resolution :premises (@p642 @p640 @p638) :args (@t433 @t426 (@list @t398 @t434))) % 150.43/150.81 (step @p644 :rule bool-double-not-elim :args (@t401)) % 150.43/150.81 (step @p645 :rule nary_cong :premises (@p612 @p644) :args ((or @t405 (not @t402)))) % 150.43/150.81 (step @p646 :rule cnf_or_neg :args (@t405 1)) % 150.43/150.81 (step @p647 :rule eq_resolve :premises (@p646 @p645)) % 150.43/150.81 (step @p648 :rule reordering :premises (@p647) :args ((or @t401 @t405))) % 150.43/150.81 (step @p649 :rule chain_m_resolution :premises (@p648 @p610) :args (@t401 @t411 @t427)) % 150.43/150.81 (step @p650 :rule cnf_or_pos :args (@t435)) % 150.43/150.81 (step @p651 :rule reordering :premises (@p650) :args ((or @t402 @t432 @t214 @t436))) % 150.43/150.81 (step @p652 :rule chain_m_resolution :premises (@p651 @p649 @p643 @p631) :args (@t436 (@list false true false) (@list @t401 @t432 @t213))) % 150.43/150.81 (assume-push @p663 @t94) % 150.43/150.81 (step @p654 :rule instantiate :premises (@p159) :args ((@list @t208 @t209 @t396))) % 150.43/150.81 (step-pop @p664 :rule scope :premises (@p654)) % 150.43/150.81 (step @p655 :rule process_scope :premises (@p664) :args (@t435)) % 150.43/150.81 (step @p657 :rule implies_elim :premises (@p655)) % 150.43/150.81 (step @p658 false :rule chain_m_resolution :premises (@p657 @p652 @p159) :args (false @t426 (@list @t435 @t94))) % 150.43/150.81 ) % 150.43/150.81 % SZS output end Proof % 150.43/150.81 % cvc5 exiting %------------------------------------------------------------------------------