%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO385^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 09:12:33 AM UTC 2026 % Result : Theorem 171.25s 171.56s % Output : Proof 171.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO385^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 00:06:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 171.25/171.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 171.25/171.56 --- 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... % 171.25/171.56 --- 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... % 171.25/171.56 --- Run --ho-elim --full-saturate-quant at 18s... % 171.25/171.56 % SZS status Theorem % 171.25/171.56 % SZS output start Proof % 171.25/171.56 ( % 171.25/171.56 (declare-sort $$unsorted 0) % 171.25/171.56 (declare-const tptp.cQ_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 171.25/171.56 (declare-const tptp.cP_1 (-> $$unsorted $$unsorted Bool)) % 171.25/171.56 (declare-const tptp.a $$unsorted) % 171.25/171.56 (declare-const tptp.b $$unsorted) % 171.25/171.56 (declare-const tptp.c $$unsorted) % 171.25/171.56 (declare-const tptp.d $$unsorted) % 171.25/171.56 (declare-const tptp.cQ_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 171.25/171.56 (declare-const tptp.cP_2 (-> $$unsorted $$unsorted Bool)) % 171.25/171.56 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 171.25/171.56 (declare-const tptp.cQ_3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 171.25/171.56 (define @t1 () (@var "Xz" $$unsorted)) % 171.25/171.56 (define @t2 () (@var "Xy" $$unsorted)) % 171.25/171.56 (define @t3 () (@var "Xx" $$unsorted)) % 171.25/171.56 (define @t4 () (_ (_ (_ tptp.cQ_3 @t3) @t2) @t1)) % 171.25/171.56 (define @t5 () (not @t4)) % 171.25/171.56 (define @t6 () (@list @t3 @t2 @t1)) % 171.25/171.56 (define @t7 () (forall @t6 @t5)) % 171.25/171.56 (define @t8 () (@var "Xw" $$unsorted)) % 171.25/171.56 (define @t9 () (@var "Xv" $$unsorted)) % 171.25/171.56 (define @t10 () (@var "Xu" $$unsorted)) % 171.25/171.56 (define @t11 () (_ (_ (_ tptp.cQ_3 @t10) @t9) @t8)) % 171.25/171.56 (define @t12 () (_ tptp.f @t1)) % 171.25/171.56 (define @t13 () (_ (_ tptp.cP_2 @t12) @t8)) % 171.25/171.56 (define @t14 () (not @t13)) % 171.25/171.56 (define @t15 () (_ tptp.f @t2)) % 171.25/171.56 (define @t16 () (_ (_ tptp.cP_2 @t15) @t9)) % 171.25/171.56 (define @t17 () (not @t16)) % 171.25/171.56 (define @t18 () (_ tptp.f @t3)) % 171.25/171.56 (define @t19 () (_ tptp.cP_2 @t18)) % 171.25/171.56 (define @t20 () (_ @t19 @t10)) % 171.25/171.56 (define @t21 () (not @t20)) % 171.25/171.56 (define @t22 () (_ (_ (_ tptp.cQ_2 @t3) @t2) @t1)) % 171.25/171.56 (define @t23 () (not @t22)) % 171.25/171.56 (define @t24 () (or @t23 @t21 @t17 @t14 @t11)) % 171.25/171.56 (define @t25 () (@list @t3 @t2 @t1 @t10 @t9 @t8)) % 171.25/171.56 (define @t26 () (forall @t25 @t24)) % 171.25/171.56 (define @t27 () (_ @t19 @t2)) % 171.25/171.56 (define @t28 () (_ (_ tptp.cP_2 @t3) @t2)) % 171.25/171.56 (define @t29 () (not @t28)) % 171.25/171.56 (define @t30 () (or @t29 @t27)) % 171.25/171.56 (define @t31 () (@list @t3 @t2)) % 171.25/171.56 (define @t32 () (forall @t31 @t30)) % 171.25/171.56 (define @t33 () (_ (_ tptp.cP_2 tptp.d) @t3)) % 171.25/171.56 (define @t34 () (@list @t3)) % 171.25/171.56 (define @t35 () (forall @t34 @t33)) % 171.25/171.56 (define @t36 () (_ (_ tptp.cP_2 tptp.c) tptp.c)) % 171.25/171.56 (define @t37 () (_ (_ tptp.cP_2 tptp.b) tptp.b)) % 171.25/171.56 (define @t38 () (_ (_ tptp.cP_2 tptp.a) tptp.a)) % 171.25/171.56 (define @t39 () (_ (_ (_ tptp.cQ_2 @t10) @t9) @t8)) % 171.25/171.56 (define @t40 () (_ (_ tptp.cP_1 @t12) @t8)) % 171.25/171.56 (define @t41 () (not @t40)) % 171.25/171.56 (define @t42 () (_ (_ tptp.cP_1 @t15) @t9)) % 171.25/171.56 (define @t43 () (not @t42)) % 171.25/171.56 (define @t44 () (_ tptp.cP_1 @t18)) % 171.25/171.56 (define @t45 () (_ @t44 @t10)) % 171.25/171.56 (define @t46 () (not @t45)) % 171.25/171.56 (define @t47 () (_ (_ (_ tptp.cQ_1 @t3) @t2) @t1)) % 171.25/171.56 (define @t48 () (not @t47)) % 171.25/171.56 (define @t49 () (or @t48 @t46 @t43 @t41 @t39)) % 171.25/171.56 (define @t50 () (forall @t25 @t49)) % 171.25/171.56 (define @t51 () (_ @t44 @t2)) % 171.25/171.56 (define @t52 () (_ (_ tptp.cP_1 @t3) @t2)) % 171.25/171.56 (define @t53 () (not @t52)) % 171.25/171.56 (define @t54 () (or @t53 @t51)) % 171.25/171.56 (define @t55 () (forall @t31 @t54)) % 171.25/171.56 (define @t56 () (_ (_ tptp.cP_1 tptp.d) @t3)) % 171.25/171.56 (define @t57 () (forall @t34 @t56)) % 171.25/171.56 (define @t58 () (_ (_ tptp.cP_1 tptp.c) tptp.c)) % 171.25/171.56 (define @t59 () (_ (_ tptp.cP_1 tptp.b) tptp.b)) % 171.25/171.56 (define @t60 () (_ (_ tptp.cP_1 tptp.a) tptp.a)) % 171.25/171.56 (define @t61 () (_ (_ (_ tptp.cQ_1 tptp.a) tptp.b) tptp.c)) % 171.25/171.56 (define @t62 () (and @t61 @t60 @t59 @t58 @t57 @t55 @t50 @t38 @t37 @t36 @t35 @t32 @t26 @t7)) % 171.25/171.56 (define @t63 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 171.25/171.56 (define @t64 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))) % 171.25/171.56 (define @t65 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 171.25/171.56 (define @t66 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 171.25/171.56 (define @t67 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 171.25/171.56 (define @t68 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 171.25/171.56 (define @t69 () (_ @t68 @t67 @t1)) % 171.25/171.56 (define @t70 () (@const 6 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 171.25/171.56 (define @t71 () (_ @t68 @t67 @t2)) % 171.25/171.56 (define @t72 () (_ @t68 @t67 @t3)) % 171.25/171.56 (define @t73 () (_ @t65 @t70 @t72)) % 171.25/171.56 (define @t74 () (@const 7 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 171.25/171.56 (define @t75 () (forall @t25 (or (not (_ @t66 (_ @t65 (_ @t64 @t74 @t3) @t2) @t1)) (not (_ @t66 @t73 @t10)) (not (_ @t66 (_ @t65 @t70 @t71) @t9)) (not (_ @t66 (_ @t65 @t70 @t69) @t8)) (_ @t66 (_ @t65 (_ @t64 @t63 @t10) @t9) @t8)))) % 171.25/171.56 (define @t76 () (_ @t66 (_ @t65 @t70 tptp.c) tptp.c)) % 171.25/171.56 (define @t77 () (_ @t66 (_ @t65 @t70 tptp.b) tptp.b)) % 171.25/171.56 (define @t78 () (_ @t66 (_ @t65 @t70 tptp.a) tptp.a)) % 171.25/171.56 (define @t79 () (@const 8 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 171.25/171.56 (define @t80 () (_ @t65 @t79 @t72)) % 171.25/171.56 (define @t81 () (@const 9 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 171.25/171.56 (define @t82 () (_ @t66 (_ @t65 @t79 tptp.c) tptp.c)) % 171.25/171.56 (define @t83 () (_ @t66 (_ @t65 @t79 tptp.b) tptp.b)) % 171.25/171.56 (define @t84 () (_ @t66 (_ @t65 @t79 tptp.a) tptp.a)) % 171.25/171.56 (define @t85 () (_ @t66 (_ @t65 (_ @t64 @t81 tptp.a) tptp.b) tptp.c)) % 171.25/171.56 (define @t86 () (tptp.cQ_3 @t3 @t2 @t1)) % 171.25/171.56 (define @t87 () (tptp.cQ_3 @t10 @t9 @t8)) % 171.25/171.56 (define @t88 () (tptp.f @t1)) % 171.25/171.56 (define @t89 () (tptp.cP_2 @t88 @t8)) % 171.25/171.56 (define @t90 () (tptp.f @t2)) % 171.25/171.56 (define @t91 () (tptp.cP_2 @t90 @t9)) % 171.25/171.56 (define @t92 () (tptp.f @t3)) % 171.25/171.56 (define @t93 () (tptp.cP_2 @t92 @t10)) % 171.25/171.56 (define @t94 () (tptp.cQ_2 @t3 @t2 @t1)) % 171.25/171.56 (define @t95 () (tptp.cP_2 @t92 @t2)) % 171.25/171.56 (define @t96 () (tptp.cP_2 @t3 @t2)) % 171.25/171.56 (define @t97 () (tptp.cP_2 tptp.d @t3)) % 171.25/171.56 (define @t98 () (tptp.cQ_2 @t10 @t9 @t8)) % 171.25/171.56 (define @t99 () (tptp.cP_1 @t88 @t8)) % 171.25/171.56 (define @t100 () (tptp.cP_1 @t90 @t9)) % 171.25/171.56 (define @t101 () (tptp.cP_1 @t92 @t10)) % 171.25/171.56 (define @t102 () (tptp.cQ_1 @t3 @t2 @t1)) % 171.25/171.56 (define @t103 () (tptp.cP_1 @t92 @t2)) % 171.25/171.56 (define @t104 () (tptp.cP_1 @t3 @t2)) % 171.25/171.56 (define @t105 () (tptp.cP_1 tptp.d @t3)) % 171.25/171.56 (define @t106 () (_ tptp.cP_2 @t92)) % 171.25/171.56 (define @t107 () (_ tptp.cP_1 @t92)) % 171.25/171.56 (define @t108 () (@list tptp.c tptp.c)) % 171.25/171.56 (define @t109 () (_ @t68 @t67 tptp.c)) % 171.25/171.56 (define @t110 () (_ @t66 (_ @t65 @t70 @t109) tptp.c)) % 171.25/171.56 (define @t111 () (not @t76)) % 171.25/171.56 (define @t112 () (or @t111 @t110)) % 171.25/171.56 (define @t113 () (@list false false)) % 171.25/171.56 (define @t114 () (@list tptp.a tptp.b tptp.c tptp.a tptp.b tptp.c)) % 171.25/171.56 (define @t115 () (_ @t66 (_ @t65 @t79 @t109) tptp.c)) % 171.25/171.56 (define @t116 () (not @t82)) % 171.25/171.56 (define @t117 () (or @t116 @t115)) % 171.25/171.56 (define @t118 () (@list tptp.b tptp.b)) % 171.25/171.56 (define @t119 () (_ @t68 @t67 tptp.b)) % 171.25/171.56 (define @t120 () (_ @t66 (_ @t65 @t79 @t119) tptp.b)) % 171.25/171.56 (define @t121 () (not @t83)) % 171.25/171.56 (define @t122 () (or @t121 @t120)) % 171.25/171.56 (define @t123 () (@list tptp.a tptp.a)) % 171.25/171.56 (define @t124 () (_ @t68 @t67 tptp.a)) % 171.25/171.56 (define @t125 () (_ @t66 (_ @t65 @t79 @t124) tptp.a)) % 171.25/171.56 (define @t126 () (not @t84)) % 171.25/171.56 (define @t127 () (or @t126 @t125)) % 171.25/171.56 (define @t128 () (_ @t66 (_ @t65 (_ @t64 @t74 tptp.a) tptp.b) tptp.c)) % 171.25/171.56 (define @t129 () (not @t115)) % 171.25/171.56 (define @t130 () (not @t120)) % 171.25/171.56 (define @t131 () (not @t125)) % 171.25/171.56 (define @t132 () (not @t85)) % 171.25/171.56 (define @t133 () (or @t132 @t131 @t130 @t129 @t128)) % 171.25/171.56 (define @t134 () (_ @t66 (_ @t65 @t70 @t119) tptp.b)) % 171.25/171.56 (define @t135 () (not @t77)) % 171.25/171.56 (define @t136 () (or @t135 @t134)) % 171.25/171.56 (define @t137 () (_ @t66 (_ @t65 @t70 @t124) tptp.a)) % 171.25/171.56 (define @t138 () (not @t78)) % 171.25/171.56 (define @t139 () (or @t138 @t137)) % 171.25/171.56 (define @t140 () (_ @t66 (_ @t65 (_ @t64 @t63 tptp.a) tptp.b) tptp.c)) % 171.25/171.56 (define @t141 () (not @t110)) % 171.25/171.56 (define @t142 () (not @t134)) % 171.25/171.56 (define @t143 () (not @t137)) % 171.25/171.56 (define @t144 () (not @t128)) % 171.25/171.56 (define @t145 () (or @t144 @t143 @t142 @t141 @t140)) % 171.25/171.56 (define @t146 () (not @t145)) % 171.25/171.56 (assume @p1 (not (not @t62))) % 171.25/171.56 (assume @p2 true) % 171.25/171.56 ; WARNING: add trust step for TRUST % 171.25/171.56 ; trust TRUST PREPROCESS_HO_ELIM % 171.25/171.56 (step @p3 :rule trust :premises () :args ((= (and @t61 @t60 @t59 @t58 (forall @t34 @t105) (forall @t31 (or (not @t104) @t103)) (forall @t25 (or (not @t102) (not @t101) (not @t100) (not @t99) @t98)) @t38 @t37 @t36 (forall @t34 @t97) (forall @t31 (or (not @t96) @t95)) (forall @t25 (or (not @t94) (not @t93) (not @t91) (not @t89) @t87)) (forall @t6 (not @t86))) (and @t85 @t84 @t83 @t82 (forall @t34 (_ @t66 (_ @t65 @t79 tptp.d) @t3)) (forall @t31 (or (not (_ @t66 (_ @t65 @t79 @t3) @t2)) (_ @t66 @t80 @t2))) (forall @t25 (or (not (_ @t66 (_ @t65 (_ @t64 @t81 @t3) @t2) @t1)) (not (_ @t66 @t80 @t10)) (not (_ @t66 (_ @t65 @t79 @t71) @t9)) (not (_ @t66 (_ @t65 @t79 @t69) @t8)) (_ @t66 (_ @t65 (_ @t64 @t74 @t10) @t9) @t8))) @t78 @t77 @t76 (forall @t34 (_ @t66 (_ @t65 @t70 tptp.d) @t3)) (forall @t31 (or (not (_ @t66 (_ @t65 @t70 @t3) @t2)) (_ @t66 @t73 @t2))) @t75 (forall @t6 (not (_ @t66 (_ @t65 (_ @t64 @t63 @t3) @t2) @t1))))))) % 171.25/171.56 (step @p4 :rule refl :args (@t86)) % 171.25/171.56 (step @p5 :rule refl :args (@t4)) % 171.25/171.56 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t4 @t86))) % 171.25/171.56 (step @p7 :rule symm :premises (@p6)) % 171.25/171.56 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 171.25/171.56 (step @p9 :rule cong :premises (@p8) :args (@t5)) % 171.25/171.56 (step @p10 :rule cong :premises (@p9) :args (@t7)) % 171.25/171.56 (step @p11 :rule refl :args (@t87)) % 171.25/171.56 (step @p12 :rule refl :args (@t11)) % 171.25/171.56 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t11 @t87))) % 171.25/171.56 (step @p14 :rule symm :premises (@p13)) % 171.25/171.56 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 171.25/171.56 (step @p16 :rule refl :args ((tptp.cP_2 @t12 @t8))) % 171.25/171.56 (step @p17 :rule refl :args (@t8)) % 171.25/171.56 (step @p18 :rule refl :args (@t88)) % 171.25/171.56 (step @p19 :rule cong :premises (@p18 @p17) :args (@t89)) % 171.25/171.56 (step @p20 :rule trans :premises (@p19 @p16)) % 171.25/171.56 (step @p21 :rule refl :args (tptp.cP_2)) % 171.25/171.56 (step @p22 :rule ho_cong :premises (@p21 @p18)) % 171.25/171.56 (step @p23 :rule ho_cong :premises (@p22 @p17)) % 171.25/171.56 (step @p24 :rule cong :premises (@p23 @p20) :args ((= (_ (_ tptp.cP_2 @t88) @t8) @t89))) % 171.25/171.56 (step @p25 :rule symm :premises (@p24)) % 171.25/171.56 (step @p26 :rule refl :args (@t13)) % 171.25/171.56 (step @p27 :rule eq_resolve :premises (@p26 @p25)) % 171.25/171.56 (step @p28 :rule refl :args (@t12)) % 171.25/171.56 (step @p29 :rule cong :premises (@p28 @p18) :args ((= @t12 @t88))) % 171.25/171.56 (step @p30 :rule symm :premises (@p29)) % 171.25/171.56 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 171.25/171.56 (step @p32 :rule ho_cong :premises (@p21 @p31)) % 171.25/171.56 (step @p33 :rule ho_cong :premises (@p32 @p17)) % 171.25/171.56 (step @p34 :rule trans :premises (@p33 @p27)) % 171.25/171.56 (step @p35 :rule cong :premises (@p34) :args (@t14)) % 171.25/171.56 (step @p36 :rule refl :args ((tptp.cP_2 @t15 @t9))) % 171.25/171.56 (step @p37 :rule refl :args (@t9)) % 171.25/171.56 (step @p38 :rule refl :args (@t90)) % 171.25/171.56 (step @p39 :rule cong :premises (@p38 @p37) :args (@t91)) % 171.25/171.56 (step @p40 :rule trans :premises (@p39 @p36)) % 171.25/171.56 (step @p41 :rule ho_cong :premises (@p21 @p38)) % 171.25/171.56 (step @p42 :rule ho_cong :premises (@p41 @p37)) % 171.25/171.56 (step @p43 :rule cong :premises (@p42 @p40) :args ((= (_ (_ tptp.cP_2 @t90) @t9) @t91))) % 171.25/171.56 (step @p44 :rule symm :premises (@p43)) % 171.25/171.56 (step @p45 :rule refl :args (@t16)) % 171.25/171.56 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 171.25/171.56 (step @p47 :rule refl :args (@t15)) % 171.25/171.56 (step @p48 :rule cong :premises (@p47 @p38) :args ((= @t15 @t90))) % 171.25/171.56 (step @p49 :rule symm :premises (@p48)) % 171.25/171.56 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 171.25/171.56 (step @p51 :rule ho_cong :premises (@p21 @p50)) % 171.25/171.56 (step @p52 :rule ho_cong :premises (@p51 @p37)) % 171.25/171.56 (step @p53 :rule trans :premises (@p52 @p46)) % 171.25/171.56 (step @p54 :rule cong :premises (@p53) :args (@t17)) % 171.25/171.56 (step @p55 :rule refl :args ((tptp.cP_2 @t18 @t10))) % 171.25/171.56 (step @p56 :rule refl :args (@t10)) % 171.25/171.56 (step @p57 :rule refl :args (@t92)) % 171.25/171.56 (step @p58 :rule cong :premises (@p57 @p56) :args (@t93)) % 171.25/171.56 (step @p59 :rule trans :premises (@p58 @p55)) % 171.25/171.56 (step @p60 :rule ho_cong :premises (@p21 @p57)) % 171.25/171.56 (step @p61 :rule ho_cong :premises (@p60 @p56)) % 171.25/171.56 (step @p62 :rule cong :premises (@p61 @p59) :args ((= (_ @t106 @t10) @t93))) % 171.25/171.56 (step @p63 :rule symm :premises (@p62)) % 171.25/171.56 (step @p64 :rule refl :args (@t20)) % 171.25/171.56 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 171.25/171.56 (step @p66 :rule refl :args (@t18)) % 171.25/171.56 (step @p67 :rule cong :premises (@p66 @p57) :args ((= @t18 @t92))) % 171.25/171.56 (step @p68 :rule symm :premises (@p67)) % 171.25/171.56 (step @p69 :rule eq_resolve :premises (@p66 @p68)) % 171.25/171.56 (step @p70 :rule ho_cong :premises (@p21 @p69)) % 171.25/171.56 (step @p71 :rule ho_cong :premises (@p70 @p56)) % 171.25/171.56 (step @p72 :rule trans :premises (@p71 @p65)) % 171.25/171.56 (step @p73 :rule cong :premises (@p72) :args (@t21)) % 171.25/171.56 (step @p74 :rule refl :args (@t94)) % 171.25/171.56 (step @p75 :rule refl :args (@t22)) % 171.25/171.56 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t22 @t94))) % 171.25/171.56 (step @p77 :rule symm :premises (@p76)) % 171.25/171.56 (step @p78 :rule eq_resolve :premises (@p75 @p77)) % 171.25/171.56 (step @p79 :rule cong :premises (@p78) :args (@t23)) % 171.25/171.56 (step @p80 :rule nary_cong :premises (@p79 @p73 @p54 @p35 @p15) :args (@t24)) % 171.25/171.56 (step @p81 :rule cong :premises (@p80) :args (@t26)) % 171.25/171.56 (step @p82 :rule refl :args ((tptp.cP_2 @t18 @t2))) % 171.25/171.56 (step @p83 :rule refl :args (@t2)) % 171.25/171.56 (step @p84 :rule cong :premises (@p57 @p83) :args (@t95)) % 171.25/171.56 (step @p85 :rule trans :premises (@p84 @p82)) % 171.25/171.56 (step @p86 :rule ho_cong :premises (@p60 @p83)) % 171.25/171.56 (step @p87 :rule cong :premises (@p86 @p85) :args ((= (_ @t106 @t2) @t95))) % 171.25/171.56 (step @p88 :rule symm :premises (@p87)) % 171.25/171.56 (step @p89 :rule refl :args (@t27)) % 171.25/171.56 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 171.25/171.56 (step @p91 :rule ho_cong :premises (@p70 @p83)) % 171.25/171.56 (step @p92 :rule trans :premises (@p91 @p90)) % 171.25/171.56 (step @p93 :rule refl :args (@t96)) % 171.25/171.56 (step @p94 :rule refl :args (@t28)) % 171.25/171.56 (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t28 @t96))) % 171.25/171.56 (step @p96 :rule symm :premises (@p95)) % 171.25/171.56 (step @p97 :rule eq_resolve :premises (@p94 @p96)) % 171.25/171.56 (step @p98 :rule cong :premises (@p97) :args (@t29)) % 171.25/171.56 (step @p99 :rule nary_cong :premises (@p98 @p92) :args (@t30)) % 171.25/171.56 (step @p100 :rule cong :premises (@p99) :args (@t32)) % 171.25/171.56 (step @p101 :rule refl :args (@t97)) % 171.25/171.56 (step @p102 :rule refl :args (@t33)) % 171.25/171.56 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t33 @t97))) % 171.25/171.56 (step @p104 :rule symm :premises (@p103)) % 171.25/171.56 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 171.25/171.56 (step @p106 :rule cong :premises (@p105) :args (@t35)) % 171.25/171.56 (step @p107 :rule refl :args (@t36)) % 171.25/171.56 (step @p108 :rule refl :args (@t37)) % 171.25/171.56 (step @p109 :rule refl :args (@t38)) % 171.25/171.56 (step @p110 :rule refl :args (@t98)) % 171.25/171.56 (step @p111 :rule refl :args (@t39)) % 171.25/171.56 (step @p112 :rule cong :premises (@p111 @p110) :args ((= @t39 @t98))) % 171.25/171.56 (step @p113 :rule symm :premises (@p112)) % 171.25/171.56 (step @p114 :rule eq_resolve :premises (@p111 @p113)) % 171.25/171.56 (step @p115 :rule refl :args ((tptp.cP_1 @t12 @t8))) % 171.25/171.56 (step @p116 :rule cong :premises (@p18 @p17) :args (@t99)) % 171.25/171.56 (step @p117 :rule trans :premises (@p116 @p115)) % 171.25/171.56 (step @p118 :rule refl :args (tptp.cP_1)) % 171.25/171.56 (step @p119 :rule ho_cong :premises (@p118 @p18)) % 171.25/171.56 (step @p120 :rule ho_cong :premises (@p119 @p17)) % 171.25/171.56 (step @p121 :rule cong :premises (@p120 @p117) :args ((= (_ (_ tptp.cP_1 @t88) @t8) @t99))) % 171.25/171.56 (step @p122 :rule symm :premises (@p121)) % 171.25/171.56 (step @p123 :rule refl :args (@t40)) % 171.25/171.56 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 171.25/171.56 (step @p125 :rule ho_cong :premises (@p118 @p31)) % 171.25/171.56 (step @p126 :rule ho_cong :premises (@p125 @p17)) % 171.25/171.56 (step @p127 :rule trans :premises (@p126 @p124)) % 171.25/171.56 (step @p128 :rule cong :premises (@p127) :args (@t41)) % 171.25/171.56 (step @p129 :rule refl :args ((tptp.cP_1 @t15 @t9))) % 171.25/171.56 (step @p130 :rule cong :premises (@p38 @p37) :args (@t100)) % 171.25/171.56 (step @p131 :rule trans :premises (@p130 @p129)) % 171.25/171.56 (step @p132 :rule ho_cong :premises (@p118 @p38)) % 171.25/171.56 (step @p133 :rule ho_cong :premises (@p132 @p37)) % 171.25/171.56 (step @p134 :rule cong :premises (@p133 @p131) :args ((= (_ (_ tptp.cP_1 @t90) @t9) @t100))) % 171.25/171.56 (step @p135 :rule symm :premises (@p134)) % 171.25/171.56 (step @p136 :rule refl :args (@t42)) % 171.25/171.56 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 171.25/171.56 (step @p138 :rule ho_cong :premises (@p118 @p50)) % 171.25/171.56 (step @p139 :rule ho_cong :premises (@p138 @p37)) % 171.25/171.56 (step @p140 :rule trans :premises (@p139 @p137)) % 171.25/171.56 (step @p141 :rule cong :premises (@p140) :args (@t43)) % 171.25/171.56 (step @p142 :rule refl :args ((tptp.cP_1 @t18 @t10))) % 171.25/171.56 (step @p143 :rule cong :premises (@p57 @p56) :args (@t101)) % 171.25/171.56 (step @p144 :rule trans :premises (@p143 @p142)) % 171.25/171.56 (step @p145 :rule ho_cong :premises (@p118 @p57)) % 171.25/171.56 (step @p146 :rule ho_cong :premises (@p145 @p56)) % 171.25/171.56 (step @p147 :rule cong :premises (@p146 @p144) :args ((= (_ @t107 @t10) @t101))) % 171.25/171.56 (step @p148 :rule symm :premises (@p147)) % 171.25/171.56 (step @p149 :rule refl :args (@t45)) % 171.25/171.56 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 171.25/171.56 (step @p151 :rule ho_cong :premises (@p118 @p69)) % 171.25/171.56 (step @p152 :rule ho_cong :premises (@p151 @p56)) % 171.25/171.56 (step @p153 :rule trans :premises (@p152 @p150)) % 171.25/171.56 (step @p154 :rule cong :premises (@p153) :args (@t46)) % 171.25/171.56 (step @p155 :rule refl :args (@t102)) % 171.25/171.56 (step @p156 :rule refl :args (@t47)) % 171.25/171.56 (step @p157 :rule cong :premises (@p156 @p155) :args ((= @t47 @t102))) % 171.25/171.56 (step @p158 :rule symm :premises (@p157)) % 171.25/171.56 (step @p159 :rule eq_resolve :premises (@p156 @p158)) % 171.25/171.56 (step @p160 :rule cong :premises (@p159) :args (@t48)) % 171.25/171.56 (step @p161 :rule nary_cong :premises (@p160 @p154 @p141 @p128 @p114) :args (@t49)) % 171.25/171.56 (step @p162 :rule cong :premises (@p161) :args (@t50)) % 171.25/171.56 (step @p163 :rule refl :args ((tptp.cP_1 @t18 @t2))) % 171.25/171.56 (step @p164 :rule cong :premises (@p57 @p83) :args (@t103)) % 171.25/171.56 (step @p165 :rule trans :premises (@p164 @p163)) % 171.25/171.56 (step @p166 :rule ho_cong :premises (@p145 @p83)) % 171.25/171.56 (step @p167 :rule cong :premises (@p166 @p165) :args ((= (_ @t107 @t2) @t103))) % 171.25/171.56 (step @p168 :rule symm :premises (@p167)) % 171.25/171.56 (step @p169 :rule refl :args (@t51)) % 171.25/171.56 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 171.25/171.56 (step @p171 :rule ho_cong :premises (@p151 @p83)) % 171.25/171.56 (step @p172 :rule trans :premises (@p171 @p170)) % 171.25/171.56 (step @p173 :rule refl :args (@t104)) % 171.25/171.56 (step @p174 :rule refl :args (@t52)) % 171.25/171.56 (step @p175 :rule cong :premises (@p174 @p173) :args ((= @t52 @t104))) % 171.25/171.56 (step @p176 :rule symm :premises (@p175)) % 171.25/171.56 (step @p177 :rule eq_resolve :premises (@p174 @p176)) % 171.25/171.56 (step @p178 :rule cong :premises (@p177) :args (@t53)) % 171.25/171.56 (step @p179 :rule nary_cong :premises (@p178 @p172) :args (@t54)) % 171.25/171.56 (step @p180 :rule cong :premises (@p179) :args (@t55)) % 171.25/171.56 (step @p181 :rule refl :args (@t105)) % 171.25/171.56 (step @p182 :rule refl :args (@t56)) % 171.25/171.56 (step @p183 :rule cong :premises (@p182 @p181) :args ((= @t56 @t105))) % 171.25/171.56 (step @p184 :rule symm :premises (@p183)) % 171.25/171.56 (step @p185 :rule eq_resolve :premises (@p182 @p184)) % 171.25/171.56 (step @p186 :rule cong :premises (@p185) :args (@t57)) % 171.25/171.56 (step @p187 :rule refl :args (@t58)) % 171.25/171.56 (step @p188 :rule refl :args (@t59)) % 171.25/171.56 (step @p189 :rule refl :args (@t60)) % 171.25/171.56 (step @p190 :rule refl :args (@t61)) % 171.25/171.56 (step @p191 :rule nary_cong :premises (@p190 @p189 @p188 @p187 @p186 @p180 @p162 @p109 @p108 @p107 @p106 @p100 @p81 @p10) :args (@t62)) % 171.25/171.56 (step @p192 :rule bool-double-not-elim :args (@t62)) % 171.25/171.56 (step @p193 :rule trans :premises (@p192 @p191)) % 171.25/171.56 (step @p194 :rule trans :premises (@p193 @p3)) % 171.25/171.56 (step @p195 :rule eq_resolve :premises (@p1 @p194)) % 171.25/171.56 (step @p196 :rule and_elim :premises (@p195) :args (12)) % 171.25/171.56 (step @p197 :rule and_elim :premises (@p195) :args (13)) % 171.25/171.56 (step @p198 :rule instantiate :premises (@p197) :args ((@list tptp.a tptp.b tptp.c))) % 171.25/171.56 (step @p199 :rule and_elim :premises (@p195) :args (11)) % 171.25/171.56 (step @p200 :rule instantiate :premises (@p199) :args (@t108)) % 171.25/171.56 (step @p201 :rule and_elim :premises (@p195) :args (9)) % 171.25/171.56 (step @p202 :rule cnf_or_pos :args (@t112)) % 171.25/171.56 (step @p203 :rule reordering :premises (@p202) :args ((or @t111 @t110 (not @t112)))) % 171.25/171.56 (step @p204 :rule chain_m_resolution :premises (@p203 @p201 @p200) :args (@t110 @t113 (@list @t76 @t112))) % 171.25/171.56 (step @p205 :rule and_elim :premises (@p195) :args (6)) % 171.25/171.56 (step @p206 :rule instantiate :premises (@p205) :args (@t114)) % 171.25/171.56 (step @p207 :rule and_elim :premises (@p195) :args (5)) % 171.25/171.56 (step @p208 :rule instantiate :premises (@p207) :args (@t108)) % 171.25/171.56 (step @p209 :rule and_elim :premises (@p195) :args (3)) % 171.25/171.56 (step @p210 :rule cnf_or_pos :args (@t117)) % 171.25/171.56 (step @p211 :rule reordering :premises (@p210) :args ((or @t116 @t115 (not @t117)))) % 171.25/171.56 (step @p212 :rule chain_m_resolution :premises (@p211 @p209 @p208) :args (@t115 @t113 (@list @t82 @t117))) % 171.25/171.56 (step @p213 :rule instantiate :premises (@p207) :args (@t118)) % 171.25/171.56 (step @p214 :rule and_elim :premises (@p195) :args (2)) % 171.25/171.56 (step @p215 :rule cnf_or_pos :args (@t122)) % 171.25/171.56 (step @p216 :rule reordering :premises (@p215) :args ((or @t121 @t120 (not @t122)))) % 171.25/171.56 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p213) :args (@t120 @t113 (@list @t83 @t122))) % 171.25/171.56 (step @p218 :rule instantiate :premises (@p207) :args (@t123)) % 171.25/171.56 (step @p219 :rule and_elim :premises (@p195) :args (1)) % 171.25/171.56 (step @p220 :rule cnf_or_pos :args (@t127)) % 171.25/171.56 (step @p221 :rule reordering :premises (@p220) :args ((or @t126 @t125 (not @t127)))) % 171.25/171.56 (step @p222 :rule chain_m_resolution :premises (@p221 @p219 @p218) :args (@t125 @t113 (@list @t84 @t127))) % 171.25/171.56 (step @p223 :rule and_elim :premises (@p195) :args (0)) % 171.25/171.56 (step @p224 :rule cnf_or_pos :args (@t133)) % 171.25/171.56 (step @p225 :rule reordering :premises (@p224) :args ((or @t132 @t131 @t130 @t129 @t128 (not @t133)))) % 171.25/171.56 (step @p226 :rule chain_m_resolution :premises (@p225 @p223 @p222 @p217 @p212 @p206) :args (@t128 (@list false false false false false) (@list @t85 @t125 @t120 @t115 @t133))) % 171.25/171.57 (step @p227 :rule instantiate :premises (@p199) :args (@t118)) % 171.25/171.57 (step @p228 :rule and_elim :premises (@p195) :args (8)) % 171.25/171.57 (step @p229 :rule cnf_or_pos :args (@t136)) % 171.25/171.57 (step @p230 :rule reordering :premises (@p229) :args ((or @t135 @t134 (not @t136)))) % 171.25/171.57 (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p227) :args (@t134 @t113 (@list @t77 @t136))) % 171.25/171.57 (step @p232 :rule instantiate :premises (@p199) :args (@t123)) % 171.25/171.57 (step @p233 :rule and_elim :premises (@p195) :args (7)) % 171.25/171.57 (step @p234 :rule cnf_or_pos :args (@t139)) % 171.25/171.57 (step @p235 :rule reordering :premises (@p234) :args ((or @t138 @t137 (not @t139)))) % 171.25/171.57 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p232) :args (@t137 @t113 (@list @t78 @t139))) % 171.25/171.57 (step @p237 :rule cnf_or_pos :args (@t145)) % 171.25/171.57 (step @p238 :rule reordering :premises (@p237) :args ((or @t143 @t142 @t144 @t141 @t140 @t146))) % 171.25/171.57 (step @p239 :rule chain_m_resolution :premises (@p238 @p236 @p231 @p226 @p204 @p198) :args (@t146 (@list false false false false true) (@list @t137 @t134 @t128 @t110 @t140))) % 171.25/171.57 (assume-push @p246 @t75) % 171.25/171.57 (step @p241 :rule instantiate :premises (@p196) :args (@t114)) % 171.25/171.57 (step-pop @p247 :rule scope :premises (@p241)) % 171.25/171.57 (step @p242 :rule process_scope :premises (@p247) :args (@t145)) % 171.25/171.57 (step @p244 :rule implies_elim :premises (@p242)) % 171.25/171.57 (step @p245 false :rule chain_m_resolution :premises (@p244 @p239 @p196) :args (false (@list true false) (@list @t145 @t75))) % 171.25/171.57 ) % 171.25/171.57 % SZS output end Proof % 171.25/171.57 % cvc5 exiting %------------------------------------------------------------------------------