%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN615-10 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 09:09:30 AM UTC 2026 % Result : Unsatisfiable 62.61s 62.87s % Output : Proof 62.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYN615-10 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n018.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:32:50 EDT 2026 % 0.14/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.42/15.60 --- Run --no-e-matching --full-saturate-quant at 6... % 21.42/21.62 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.42/27.65 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.53/33.73 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 62.61/62.87 % SZS status Unsatisfiable % 62.61/62.87 % SZS output start Proof % 62.61/62.88 ( % 62.61/62.88 (declare-sort $$unsorted 0) % 62.61/62.88 (declare-const tptp.tuple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.b $$unsorted) % 62.61/62.88 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.true $$unsorted) % 62.61/62.88 (declare-const tptp.p15 (-> $$unsorted $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.f12 (-> $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.f18 (-> $$unsorted $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.c22 $$unsorted) % 62.61/62.88 (declare-const tptp.a $$unsorted) % 62.61/62.88 (declare-const tptp.p2 (-> $$unsorted $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.f5 (-> $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.p7 (-> $$unsorted $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.c26 $$unsorted) % 62.61/62.88 (declare-const tptp.f4 (-> $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.ifeq2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.p13 (-> $$unsorted $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.ifeq3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.c23 $$unsorted) % 62.61/62.88 (declare-const tptp.p19 (-> $$unsorted $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.c21 $$unsorted) % 62.61/62.88 (declare-const tptp.c27 $$unsorted) % 62.61/62.88 (declare-const tptp.c28 $$unsorted) % 62.61/62.88 (declare-const tptp.c24 $$unsorted) % 62.61/62.88 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.f17 (-> $$unsorted $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.f11 (-> $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.c25 $$unsorted) % 62.61/62.88 (declare-const tptp.p20 (-> $$unsorted $$unsorted $$unsorted)) % 62.61/62.88 (declare-const tptp.f16 (-> $$unsorted $$unsorted $$unsorted)) % 62.61/62.88 (define @t1 () (@var "B" $$unsorted)) % 62.61/62.88 (define @t2 () (@var "C" $$unsorted)) % 62.61/62.88 (define @t3 () (@var "A" $$unsorted)) % 62.61/62.88 (define @t4 () (tptp.ifeq3 @t3 @t3 @t1 @t2)) % 62.61/62.88 (define @t5 () (@list @t3 @t1 @t2)) % 62.61/62.88 (define @t6 () (forall @t5 (= @t4 @t1))) % 62.61/62.88 (define @t7 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 62.61/62.88 (define @t8 () (forall @t5 (= @t7 @t1))) % 62.61/62.88 (define @t9 () (@var "X0" $$unsorted)) % 62.61/62.88 (define @t10 () (@var "X43" $$unsorted)) % 62.61/62.88 (define @t11 () (tptp.p7 @t10 @t10)) % 62.61/62.88 (define @t12 () (@list @t10)) % 62.61/62.88 (define @t13 () (forall @t12 (= @t11 tptp.true))) % 62.61/62.88 (define @t14 () (@var "X18" $$unsorted)) % 62.61/62.88 (define @t15 () (@var "X7" $$unsorted)) % 62.61/62.88 (define @t16 () (tptp.f3 tptp.c22)) % 62.61/62.88 (define @t17 () (tptp.p2 tptp.c26 @t16)) % 62.61/62.88 (define @t18 () (tptp.f5 tptp.c22)) % 62.61/62.88 (define @t19 () (tptp.f3 (tptp.f4 @t18))) % 62.61/62.88 (define @t20 () (tptp.p19 tptp.c23 @t19)) % 62.61/62.88 (define @t21 () (tptp.f6 @t19 tptp.c21)) % 62.61/62.88 (define @t22 () (tptp.p20 tptp.c24 @t21)) % 62.61/62.88 (define @t23 () (@var "X53" $$unsorted)) % 62.61/62.88 (define @t24 () (@var "X52" $$unsorted)) % 62.61/62.88 (define @t25 () (@var "X30" $$unsorted)) % 62.61/62.88 (define @t26 () (@var "X29" $$unsorted)) % 62.61/62.88 (define @t27 () (@var "X32" $$unsorted)) % 62.61/62.88 (define @t28 () (@var "X31" $$unsorted)) % 62.61/62.88 (define @t29 () (@var "X34" $$unsorted)) % 62.61/62.88 (define @t30 () (@var "X33" $$unsorted)) % 62.61/62.88 (define @t31 () (@var "X51" $$unsorted)) % 62.61/62.88 (define @t32 () (@var "X50" $$unsorted)) % 62.61/62.88 (define @t33 () (tptp.f14 (tptp.f16 tptp.c28 (tptp.f17 tptp.c21 tptp.c27)) tptp.c25)) % 62.61/62.88 (define @t34 () (tptp.p2 tptp.c26 @t33)) % 62.61/62.88 (define @t35 () (@var "X2" $$unsorted)) % 62.61/62.88 (define @t36 () (@var "X1" $$unsorted)) % 62.61/62.88 (define @t37 () (@var "X45" $$unsorted)) % 62.61/62.88 (define @t38 () (@var "X44" $$unsorted)) % 62.61/62.88 (define @t39 () (tptp.p7 @t38 @t37)) % 62.61/62.88 (define @t40 () (tptp.p7 @t10 @t38)) % 62.61/62.88 (define @t41 () (tptp.ifeq3 @t40 tptp.true @t39 tptp.true)) % 62.61/62.88 (define @t42 () (tptp.p7 @t10 @t37)) % 62.61/62.88 (define @t43 () (tptp.ifeq3 @t42 tptp.true @t41 tptp.true)) % 62.61/62.88 (define @t44 () (@list @t10 @t37 @t38)) % 62.61/62.88 (define @t45 () (forall @t44 (= @t43 tptp.true))) % 62.61/62.88 (define @t46 () (@var "X20" $$unsorted)) % 62.61/62.88 (define @t47 () (@var "X19" $$unsorted)) % 62.61/62.88 (define @t48 () (tptp.p2 @t47 @t46)) % 62.61/62.88 (define @t49 () (tptp.p2 @t14 @t47)) % 62.61/62.88 (define @t50 () (tptp.ifeq3 @t49 tptp.true @t48 tptp.true)) % 62.61/62.88 (define @t51 () (tptp.p2 @t14 @t46)) % 62.61/62.88 (define @t52 () (tptp.ifeq3 @t51 tptp.true @t50 tptp.true)) % 62.61/62.88 (define @t53 () (@list @t14 @t46 @t47)) % 62.61/62.88 (define @t54 () (forall @t53 (= @t52 tptp.true))) % 62.61/62.88 (define @t55 () (@var "X9" $$unsorted)) % 62.61/62.88 (define @t56 () (@var "X8" $$unsorted)) % 62.61/62.88 (define @t57 () (@var "X40" $$unsorted)) % 62.61/62.88 (define @t58 () (@var "X39" $$unsorted)) % 62.61/62.88 (define @t59 () (@var "X42" $$unsorted)) % 62.61/62.88 (define @t60 () (@var "X41" $$unsorted)) % 62.61/62.88 (define @t61 () (@var "X15" $$unsorted)) % 62.61/62.88 (define @t62 () (@var "X14" $$unsorted)) % 62.61/62.88 (define @t63 () (@var "X16" $$unsorted)) % 62.61/62.88 (define @t64 () (@var "X17" $$unsorted)) % 62.61/62.88 (define @t65 () (@var "X6" $$unsorted)) % 62.61/62.88 (define @t66 () (@var "X5" $$unsorted)) % 62.61/62.88 (define @t67 () (@var "X4" $$unsorted)) % 62.61/62.88 (define @t68 () (@var "X3" $$unsorted)) % 62.61/62.88 (define @t69 () (@var "X61" $$unsorted)) % 62.61/62.88 (define @t70 () (@var "X60" $$unsorted)) % 62.61/62.88 (define @t71 () (@var "X59" $$unsorted)) % 62.61/62.88 (define @t72 () (@var "X58" $$unsorted)) % 62.61/62.88 (define @t73 () (@var "X57" $$unsorted)) % 62.61/62.88 (define @t74 () (@var "X56" $$unsorted)) % 62.61/62.88 (define @t75 () (@var "X55" $$unsorted)) % 62.61/62.88 (define @t76 () (@var "X54" $$unsorted)) % 62.61/62.88 (define @t77 () (tptp.p7 (tptp.f8 @t76 @t75) (tptp.f8 @t74 @t73))) % 62.61/62.88 (define @t78 () (tptp.p7 @t76 @t74)) % 62.61/62.88 (define @t79 () (tptp.ifeq3 @t78 tptp.true @t77 tptp.true)) % 62.61/62.88 (define @t80 () (tptp.p7 @t75 @t73)) % 62.61/62.88 (define @t81 () (tptp.ifeq3 @t80 tptp.true @t79 tptp.true)) % 62.61/62.88 (define @t82 () (@list @t75 @t73 @t76 @t74)) % 62.61/62.88 (define @t83 () (forall @t82 (= @t81 tptp.true))) % 62.61/62.88 (define @t84 () (@var "X49" $$unsorted)) % 62.61/62.88 (define @t85 () (@var "X48" $$unsorted)) % 62.61/62.88 (define @t86 () (@var "X47" $$unsorted)) % 62.61/62.88 (define @t87 () (@var "X46" $$unsorted)) % 62.61/62.88 (define @t88 () (tptp.p7 (tptp.f10 @t87 @t86) (tptp.f10 @t85 @t84))) % 62.61/62.88 (define @t89 () (tptp.p7 @t87 @t85)) % 62.61/62.88 (define @t90 () (tptp.ifeq3 @t89 tptp.true @t88 tptp.true)) % 62.61/62.88 (define @t91 () (tptp.p2 @t86 @t84)) % 62.61/62.88 (define @t92 () (tptp.ifeq3 @t91 tptp.true @t90 tptp.true)) % 62.61/62.88 (define @t93 () (@list @t86 @t84 @t87 @t85)) % 62.61/62.88 (define @t94 () (forall @t93 (= @t92 tptp.true))) % 62.61/62.88 (define @t95 () (@var "X38" $$unsorted)) % 62.61/62.88 (define @t96 () (@var "X37" $$unsorted)) % 62.61/62.88 (define @t97 () (@var "X36" $$unsorted)) % 62.61/62.88 (define @t98 () (@var "X35" $$unsorted)) % 62.61/62.88 (define @t99 () (@var "X28" $$unsorted)) % 62.61/62.88 (define @t100 () (@var "X27" $$unsorted)) % 62.61/62.88 (define @t101 () (@var "X26" $$unsorted)) % 62.61/62.88 (define @t102 () (@var "X25" $$unsorted)) % 62.61/62.88 (define @t103 () (@var "X24" $$unsorted)) % 62.61/62.88 (define @t104 () (@var "X23" $$unsorted)) % 62.61/62.88 (define @t105 () (@var "X22" $$unsorted)) % 62.61/62.88 (define @t106 () (@var "X21" $$unsorted)) % 62.61/62.88 (define @t107 () (@var "X13" $$unsorted)) % 62.61/62.88 (define @t108 () (@var "X12" $$unsorted)) % 62.61/62.88 (define @t109 () (@var "X11" $$unsorted)) % 62.61/62.88 (define @t110 () (@var "X10" $$unsorted)) % 62.61/62.88 (define @t111 () (tptp.f11 @t19)) % 62.61/62.88 (define @t112 () (tptp.f10 @t111 tptp.c27)) % 62.61/62.88 (define @t113 () (tptp.f9 (tptp.f11 tptp.c24) @t112)) % 62.61/62.88 (define @t114 () (tptp.f10 @t111 tptp.c26)) % 62.61/62.88 (define @t115 () (tptp.f8 @t114 @t113)) % 62.61/62.88 (define @t116 () (tptp.f3 @t18)) % 62.61/62.88 (define @t117 () (tptp.f12 (tptp.f11 @t116))) % 62.61/62.88 (define @t118 () (tptp.f10 @t117 tptp.c23)) % 62.61/62.88 (define @t119 () (tptp.f8 @t118 @t115)) % 62.61/62.88 (define @t120 () (tptp.p7 tptp.c25 @t119)) % 62.61/62.88 (define @t121 () (tptp.tuple tptp.true tptp.true tptp.true tptp.true)) % 62.61/62.88 (define @t122 () (@var "X63" $$unsorted)) % 62.61/62.88 (define @t123 () (tptp.p20 @t122 @t21)) % 62.61/62.88 (define @t124 () (@var "X62" $$unsorted)) % 62.61/62.88 (define @t125 () (tptp.p19 @t124 @t19)) % 62.61/62.88 (define @t126 () (tptp.p2 @t33 @t16)) % 62.61/62.88 (define @t127 () (tptp.f10 @t111 @t33)) % 62.61/62.88 (define @t128 () (tptp.p7 tptp.c25 (tptp.f8 (tptp.f10 @t117 @t124) (tptp.f8 @t127 (tptp.f9 (tptp.f11 @t122) @t112))))) % 62.61/62.88 (define @t129 () (tptp.tuple @t128 @t126 @t125 @t123)) % 62.61/62.88 (define @t130 () (tptp.ifeq @t129 @t121 tptp.a tptp.b)) % 62.61/62.88 (define @t131 () (@list @t124 @t122)) % 62.61/62.88 (define @t132 () (forall @t131 (= @t130 tptp.b))) % 62.61/62.88 (define @t133 () (= tptp.b @t130)) % 62.61/62.88 (define @t134 () (= tptp.true @t52)) % 62.61/62.88 (define @t135 () (tptp.p2 @t33 @t33)) % 62.61/62.88 (define @t136 () (tptp.ifeq3 @t34 @t17 @t135 @t17)) % 62.61/62.88 (define @t137 () (= tptp.true @t43)) % 62.61/62.88 (define @t138 () (tptp.f8 @t127 @t113)) % 62.61/62.88 (define @t139 () (tptp.f8 @t118 @t138)) % 62.61/62.88 (define @t140 () (tptp.p7 tptp.c25 @t139)) % 62.61/62.88 (define @t141 () (= tptp.true @t11)) % 62.61/62.88 (define @t142 () (tptp.p7 @t119 tptp.c25)) % 62.61/62.88 (define @t143 () (tptp.ifeq3 @t120 @t17 @t142 @t17)) % 62.61/62.88 (define @t144 () (tptp.p7 tptp.c25 tptp.c25)) % 62.61/62.88 (define @t145 () (forall @t12 (= @t11 @t17))) % 62.61/62.88 (define @t146 () (= @t144 @t17)) % 62.61/62.88 (define @t147 () (@list false)) % 62.61/62.88 (define @t148 () (@list @t145)) % 62.61/62.88 (define @t149 () (tptp.ifeq3 @t144 @t144 @t140 @t17)) % 62.61/62.88 (define @t150 () (tptp.p7 @t119 @t139)) % 62.61/62.88 (define @t151 () (tptp.ifeq3 (tptp.p7 @t118 @t118) @t17 @t150 @t17)) % 62.61/62.88 (define @t152 () (tptp.p7 @t115 @t138)) % 62.61/62.88 (define @t153 () (tptp.p7 @t114 @t127)) % 62.61/62.88 (define @t154 () (tptp.p7 @t111 @t111)) % 62.61/62.88 (define @t155 () (= @t154 @t17)) % 62.61/62.88 (define @t156 () (tptp.ifeq3 @t154 @t17 @t153 @t17)) % 62.61/62.88 (define @t157 () (= tptp.true @t92)) % 62.61/62.88 (define @t158 () (tptp.ifeq3 @t153 @t17 @t152 @t17)) % 62.61/62.88 (define @t159 () (tptp.p7 @t113 @t113)) % 62.61/62.88 (define @t160 () (= @t159 @t17)) % 62.61/62.88 (define @t161 () (= tptp.true @t81)) % 62.61/62.88 (define @t162 () (tptp.tuple @t140 @t126 @t20 @t22)) % 62.61/62.88 (define @t163 () (tptp.ifeq @t162 @t162 tptp.a tptp.b)) % 62.61/62.88 (define @t164 () (= tptp.a @t163)) % 62.61/62.88 (define @t165 () (forall @t5 (= @t1 @t7))) % 62.61/62.88 (assume @p1 @t6) % 62.61/62.88 (assume @p2 (forall @t5 (= (tptp.ifeq2 @t3 @t3 @t1 @t2) @t1))) % 62.61/62.88 (assume @p3 @t8) % 62.61/62.88 (assume @p4 (forall (@list @t9) (= (tptp.p13 @t9 @t9) tptp.true))) % 62.61/62.88 (assume @p5 @t13) % 62.61/62.88 (assume @p6 (forall (@list @t14) (= (tptp.p2 @t14 @t14) tptp.true))) % 62.61/62.88 (assume @p7 (forall (@list @t15) (= (tptp.p15 @t15 @t15) tptp.true))) % 62.61/62.88 (assume @p8 (= @t17 tptp.true)) % 62.61/62.88 (assume @p9 (= @t20 tptp.true)) % 62.61/62.88 (assume @p10 (= @t22 tptp.true)) % 62.61/62.88 (assume @p11 (forall (@list @t24 @t23) (= (tptp.ifeq3 (tptp.p7 @t24 @t23) tptp.true (tptp.p7 (tptp.f12 @t24) (tptp.f12 @t23)) tptp.true) tptp.true))) % 62.61/62.88 (assume @p12 (forall (@list @t26 @t25) (= (tptp.ifeq3 (tptp.p2 @t26 @t25) tptp.true (tptp.p2 (tptp.f3 @t26) (tptp.f3 @t25)) tptp.true) tptp.true))) % 62.61/62.88 (assume @p13 (forall (@list @t28 @t27) (= (tptp.ifeq3 (tptp.p2 @t28 @t27) tptp.true (tptp.p2 (tptp.f4 @t28) (tptp.f4 @t27)) tptp.true) tptp.true))) % 62.61/62.88 (assume @p14 (forall (@list @t30 @t29) (= (tptp.ifeq3 (tptp.p2 @t30 @t29) tptp.true (tptp.p2 (tptp.f5 @t30) (tptp.f5 @t29)) tptp.true) tptp.true))) % 62.61/62.88 (assume @p15 (forall (@list @t32 @t31) (= (tptp.ifeq3 (tptp.p2 @t32 @t31) tptp.true (tptp.p7 (tptp.f11 @t32) (tptp.f11 @t31)) tptp.true) tptp.true))) % 62.61/62.88 (assume @p16 (= @t34 tptp.true)) % 62.61/62.88 (assume @p17 (forall (@list @t9 @t35 @t36) (= (tptp.ifeq3 (tptp.p13 @t9 @t35) tptp.true (tptp.ifeq3 (tptp.p13 @t9 @t36) tptp.true (tptp.p13 @t36 @t35) tptp.true) tptp.true) tptp.true))) % 62.61/62.88 (assume @p18 @t45) % 62.61/62.88 (assume @p19 @t54) % 62.61/62.88 (assume @p20 (forall (@list @t15 @t55 @t56) (= (tptp.ifeq3 (tptp.p15 @t15 @t55) tptp.true (tptp.ifeq3 (tptp.p15 @t15 @t56) tptp.true (tptp.p15 @t56 @t55) tptp.true) tptp.true) tptp.true))) % 62.61/62.88 (assume @p21 (forall (@list @t60 @t59 @t58 @t57) (= (tptp.ifeq3 (tptp.p20 @t60 @t59) tptp.true (tptp.ifeq3 (tptp.p2 @t60 @t58) tptp.true (tptp.ifeq3 (tptp.p2 @t59 @t57) tptp.true (tptp.p20 @t58 @t57) tptp.true) tptp.true) tptp.true) tptp.true))) % 62.61/62.88 (assume @p22 (forall (@list @t63 @t64 @t61 @t62) (= (tptp.ifeq3 (tptp.p19 @t63 @t64) tptp.true (tptp.ifeq3 (tptp.p2 @t64 @t61) tptp.true (tptp.ifeq3 (tptp.p2 @t63 @t62) tptp.true (tptp.p19 @t62 @t61) tptp.true) tptp.true) tptp.true) tptp.true))) % 62.61/62.88 (assume @p23 (forall (@list @t67 @t65 @t68 @t66) (= (tptp.ifeq3 (tptp.p15 @t67 @t65) tptp.true (tptp.ifeq3 (tptp.p2 @t68 @t66) tptp.true (tptp.p13 (tptp.f16 @t68 @t67) (tptp.f16 @t66 @t65)) tptp.true) tptp.true) tptp.true))) % 62.61/62.88 (assume @p24 (forall (@list @t71 @t69 @t72 @t70) (= (tptp.ifeq3 (tptp.p7 @t71 @t69) tptp.true (tptp.ifeq3 (tptp.p7 @t72 @t70) tptp.true (tptp.p7 (tptp.f9 @t72 @t71) (tptp.f9 @t70 @t69)) tptp.true) tptp.true) tptp.true))) % 62.61/62.88 (assume @p25 @t83) % 62.61/62.88 (assume @p26 @t94) % 62.61/62.88 (assume @p27 (forall (@list @t97 @t95 @t98 @t96) (= (tptp.ifeq3 (tptp.p2 @t97 @t95) tptp.true (tptp.ifeq3 (tptp.p2 @t98 @t96) tptp.true (tptp.p2 (tptp.f6 @t98 @t97) (tptp.f6 @t96 @t95)) tptp.true) tptp.true) tptp.true))) % 62.61/62.88 (assume @p28 (forall (@list @t101 @t99 @t102 @t100) (= (tptp.ifeq3 (tptp.p2 @t101 @t99) tptp.true (tptp.ifeq3 (tptp.p2 @t102 @t100) tptp.true (tptp.p2 (tptp.f18 @t102 @t101) (tptp.f18 @t100 @t99)) tptp.true) tptp.true) tptp.true))) % 62.61/62.88 (assume @p29 (forall (@list @t106 @t104 @t105 @t103) (= (tptp.ifeq3 (tptp.p13 @t106 @t104) tptp.true (tptp.ifeq3 (tptp.p7 @t105 @t103) tptp.true (tptp.p2 (tptp.f14 @t106 @t105) (tptp.f14 @t104 @t103)) tptp.true) tptp.true) tptp.true))) % 62.61/62.88 (assume @p30 (forall (@list @t109 @t107 @t110 @t108) (= (tptp.ifeq3 (tptp.p2 @t109 @t107) tptp.true (tptp.ifeq3 (tptp.p2 @t110 @t108) tptp.true (tptp.p15 (tptp.f17 @t110 @t109) (tptp.f17 @t108 @t107)) tptp.true) tptp.true) tptp.true))) % 62.61/62.88 (assume @p31 (= @t120 tptp.true)) % 62.61/62.88 (assume @p32 (= (tptp.ifeq2 (tptp.p2 tptp.c21 @t16) tptp.true tptp.a tptp.b) tptp.b)) % 62.61/62.88 (assume @p33 @t132) % 62.61/62.88 (assume @p34 (forall @t131 (= (tptp.ifeq (tptp.tuple @t128 @t125 (tptp.p19 (tptp.f6 @t19 (tptp.f18 tptp.c21 @t116)) @t122) @t123) @t121 tptp.a tptp.b) tptp.b))) % 62.61/62.88 (assume @p35 (not (= tptp.a tptp.b))) % 62.61/62.88 (step @p36 :rule eq-symm :args (@t7 @t1)) % 62.61/62.88 (step @p37 :rule cong :premises (@p36) :args (@t8)) % 62.61/62.88 (step @p38 :rule eq_resolve :premises (@p3 @p37)) % 62.61/62.88 (step @p39 :rule false_intro :premises (@p35)) % 62.61/62.88 (step @p40 :rule refl :args (tptp.b)) % 62.61/62.88 (step @p41 :rule refl :args (tptp.a)) % 62.61/62.88 (step @p42 :rule symm :premises (@p8)) % 62.61/62.88 (step @p43 :rule cong :premises (@p42 @p42 @p42 @p42) :args (@t121)) % 62.61/62.88 (step @p44 :rule refl :args (@t129)) % 62.61/62.88 (step @p45 :rule cong :premises (@p44 @p43 @p41 @p40) :args (@t130)) % 62.61/62.88 (step @p46 :rule cong :premises (@p40 @p45) :args (@t133)) % 62.61/62.88 (step @p47 :rule cong :premises (@p46) :args ((forall @t131 @t133))) % 62.61/62.88 (step @p48 :rule eq-symm :args (@t130 tptp.b)) % 62.61/62.88 (step @p49 :rule cong :premises (@p48) :args (@t132)) % 62.61/62.88 (step @p50 :rule trans :premises (@p49 @p47)) % 62.61/62.88 (step @p51 :rule eq_resolve :premises (@p33 @p50)) % 62.61/62.88 (step @p52 :rule instantiate :premises (@p51) :args ((@list tptp.c23 tptp.c24))) % 62.61/62.88 (step @p53 :rule symm :premises (@p52)) % 62.61/62.88 (step @p54 :rule refl :args (@t22)) % 62.61/62.88 (step @p55 :rule cong :premises (@p42 @p54) :args ((= tptp.true @t22))) % 62.61/62.88 (step @p56 :rule eq-symm :args (@t22 tptp.true)) % 62.61/62.88 (step @p57 :rule trans :premises (@p56 @p55)) % 62.61/62.88 (step @p58 :rule eq_resolve :premises (@p10 @p57)) % 62.61/62.88 (step @p59 :rule symm :premises (@p58)) % 62.61/62.88 (step @p60 :rule refl :args (@t20)) % 62.61/62.88 (step @p61 :rule cong :premises (@p42 @p60) :args ((= tptp.true @t20))) % 62.61/62.88 (step @p62 :rule eq-symm :args (@t20 tptp.true)) % 62.61/62.88 (step @p63 :rule trans :premises (@p62 @p61)) % 62.61/62.88 (step @p64 :rule eq_resolve :premises (@p9 @p63)) % 62.61/62.88 (step @p65 :rule symm :premises (@p64)) % 62.61/62.88 (step @p66 :rule refl :args (@t48)) % 62.61/62.88 (step @p67 :rule refl :args (@t49)) % 62.61/62.88 (step @p68 :rule cong :premises (@p67 @p42 @p66 @p42) :args (@t50)) % 62.61/62.88 (step @p69 :rule refl :args (@t51)) % 62.61/62.88 (step @p70 :rule cong :premises (@p69 @p42 @p68 @p42) :args (@t52)) % 62.61/62.88 (step @p71 :rule cong :premises (@p42 @p70) :args (@t134)) % 62.61/62.88 (step @p72 :rule cong :premises (@p71) :args ((forall @t53 @t134))) % 62.61/62.88 (step @p73 :rule eq-symm :args (@t52 tptp.true)) % 62.61/62.88 (step @p74 :rule cong :premises (@p73) :args (@t54)) % 62.61/62.88 (step @p75 :rule trans :premises (@p74 @p72)) % 62.61/62.88 (step @p76 :rule eq_resolve :premises (@p19 @p75)) % 62.61/62.88 (step @p77 :rule instantiate :premises (@p76) :args ((@list tptp.c26 @t16 @t33))) % 62.61/62.88 (step @p78 :rule symm :premises (@p77)) % 62.61/62.88 (step @p79 :rule eq-symm :args (@t4 @t1)) % 62.61/62.88 (step @p80 :rule cong :premises (@p79) :args (@t6)) % 62.61/62.88 (step @p81 :rule eq_resolve :premises (@p1 @p80)) % 62.61/62.88 (step @p82 :rule instantiate :premises (@p81) :args ((@list @t17 (tptp.ifeq3 @t34 @t17 @t126 @t17) @t17))) % 62.61/62.88 (step @p83 :rule refl :args (@t17)) % 62.61/62.88 (step @p84 :rule refl :args (@t126)) % 62.61/62.88 (step @p85 :rule refl :args (@t34)) % 62.61/62.88 (step @p86 :rule cong :premises (@p42 @p85) :args ((= tptp.true @t34))) % 62.61/62.88 (step @p87 :rule eq-symm :args (@t34 tptp.true)) % 62.61/62.88 (step @p88 :rule trans :premises (@p87 @p86)) % 62.61/62.88 (step @p89 :rule eq_resolve :premises (@p16 @p88)) % 62.61/62.88 (step @p90 :rule instantiate :premises (@p76) :args ((@list tptp.c26 @t33 @t33))) % 62.61/62.88 (step @p91 :rule symm :premises (@p90)) % 62.61/62.88 (step @p92 :rule refl :args (@t136)) % 62.61/62.88 (step @p93 :rule symm :premises (@p89)) % 62.61/62.88 (step @p94 :rule cong :premises (@p85 @p93 @p92 @p83) :args ((tptp.ifeq3 @t34 @t34 @t136 @t17))) % 62.61/62.88 (step @p95 :rule instantiate :premises (@p81) :args ((@list @t34 @t136 @t17))) % 62.61/62.88 (step @p96 :rule refl :args (@t135)) % 62.61/62.88 (step @p97 :rule cong :premises (@p85 @p93 @p96 @p83) :args ((tptp.ifeq3 @t34 @t34 @t135 @t17))) % 62.61/62.88 (step @p98 :rule instantiate :premises (@p81) :args ((@list @t34 @t135 @t17))) % 62.61/62.88 (step @p99 :rule trans :premises (@p98 @p97 @p95 @p94 @p91)) % 62.61/62.88 (step @p100 :rule trans :premises (@p99 @p89)) % 62.61/62.88 (step @p101 :rule cong :premises (@p100 @p83 @p84 @p83) :args ((tptp.ifeq3 @t135 @t17 @t126 @t17))) % 62.61/62.88 (step @p102 :rule symm :premises (@p100)) % 62.61/62.88 (step @p103 :rule cong :premises (@p102 @p93 @p84 @p83) :args ((tptp.ifeq3 @t34 @t34 @t126 @t17))) % 62.61/62.88 (step @p104 :rule instantiate :premises (@p81) :args ((@list @t34 @t126 @t17))) % 62.61/62.88 (step @p105 :rule trans :premises (@p104 @p103 @p101 @p82 @p78 @p64)) % 62.61/62.88 (step @p106 :rule trans :premises (@p105 @p65)) % 62.61/62.88 (step @p107 :rule refl :args (@t39)) % 62.61/62.88 (step @p108 :rule refl :args (@t40)) % 62.61/62.88 (step @p109 :rule cong :premises (@p108 @p42 @p107 @p42) :args (@t41)) % 62.61/62.88 (step @p110 :rule refl :args (@t42)) % 62.61/62.88 (step @p111 :rule cong :premises (@p110 @p42 @p109 @p42) :args (@t43)) % 62.61/62.88 (step @p112 :rule cong :premises (@p42 @p111) :args (@t137)) % 62.61/62.88 (step @p113 :rule cong :premises (@p112) :args ((forall @t44 @t137))) % 62.61/62.88 (step @p114 :rule eq-symm :args (@t43 tptp.true)) % 62.61/62.88 (step @p115 :rule cong :premises (@p114) :args (@t45)) % 62.61/62.88 (step @p116 :rule trans :premises (@p115 @p113)) % 62.61/62.88 (step @p117 :rule eq_resolve :premises (@p18 @p116)) % 62.61/62.88 (step @p118 :rule instantiate :premises (@p117) :args ((@list @t119 @t139 tptp.c25))) % 62.61/62.88 (step @p119 :rule symm :premises (@p118)) % 62.61/62.88 (step @p120 :rule refl :args (@t140)) % 62.61/62.88 (step @p121 :rule eq-symm :args (@t17 @t11)) % 62.61/62.88 (step @p122 :rule cong :premises (@p121) :args ((forall @t12 (= @t17 @t11)))) % 62.61/62.88 (step @p123 :rule refl :args (@t11)) % 62.61/62.88 (step @p124 :rule cong :premises (@p42 @p123) :args (@t141)) % 62.61/62.88 (step @p125 :rule cong :premises (@p124) :args ((forall @t12 @t141))) % 62.61/62.88 (step @p126 :rule trans :premises (@p125 @p122)) % 62.61/62.88 (step @p127 :rule eq-symm :args (@t11 tptp.true)) % 62.61/62.88 (step @p128 :rule cong :premises (@p127) :args (@t13)) % 62.61/62.88 (step @p129 :rule trans :premises (@p128 @p126)) % 62.61/62.88 (step @p130 :rule eq_resolve :premises (@p5 @p129)) % 62.61/62.88 (step @p131 :rule instantiate :premises (@p130) :args ((@list tptp.c25))) % 62.61/62.88 (step @p132 :rule instantiate :premises (@p81) :args ((@list @t120 @t142 @t17))) % 62.61/62.88 (step @p133 :rule symm :premises (@p132)) % 62.61/62.88 (step @p134 :rule refl :args (@t142)) % 62.61/62.88 (step @p135 :rule refl :args (@t120)) % 62.61/62.88 (step @p136 :rule cong :premises (@p42 @p135) :args ((= tptp.true @t120))) % 62.61/62.88 (step @p137 :rule eq-symm :args (@t120 tptp.true)) % 62.61/62.88 (step @p138 :rule trans :premises (@p137 @p136)) % 62.61/62.88 (step @p139 :rule eq_resolve :premises (@p31 @p138)) % 62.61/62.88 (step @p140 :rule cong :premises (@p135 @p139 @p134 @p83) :args (@t143)) % 62.61/62.88 (step @p141 :rule instantiate :premises (@p81) :args ((@list @t144 @t143 @t17))) % 62.61/62.88 (step @p142 :rule symm :premises (@p141)) % 62.61/62.88 (step @p143 :rule refl :args (@t143)) % 62.61/62.88 (step @p144 :rule eq-symm :args (@t144 @t17)) % 62.61/62.88 (step @p145 :rule refl :args (@t145)) % 62.61/62.88 (step @p146 :rule cong :premises (@p145 @p144) :args ((=> @t145 @t146))) % 62.61/62.88 (assume-push @p251 @t145) % 62.61/62.88 (step-pop @p252 :rule scope :premises (@p131)) % 62.61/62.88 (step @p148 :rule process_scope :premises (@p252) :args (@t146)) % 62.61/62.88 (step @p150 :rule eq_resolve :premises (@p148 @p146)) % 62.61/62.88 (step @p151 :rule implies_elim :premises (@p150)) % 62.61/62.88 (step @p152 :rule chain_m_resolution :premises (@p151 @p130) :args ((= @t17 @t144) @t147 @t148)) % 62.61/62.88 (step @p153 :rule refl :args (@t144)) % 62.61/62.88 (step @p154 :rule cong :premises (@p153 @p152 @p143 @p83) :args ((tptp.ifeq3 @t144 @t17 @t143 @t17))) % 62.61/62.88 (step @p155 :rule instantiate :premises (@p117) :args ((@list tptp.c25 tptp.c25 @t119))) % 62.61/62.88 (step @p156 :rule trans :premises (@p155 @p154 @p142 @p140 @p133)) % 62.61/62.88 (step @p157 :rule trans :premises (@p131 @p156)) % 62.61/62.88 (step @p158 :rule cong :premises (@p157 @p131 @p120 @p83) :args (@t149)) % 62.61/62.88 (step @p159 :rule instantiate :premises (@p81) :args ((@list @t144 @t140 @t17))) % 62.61/62.88 (step @p160 :rule trans :premises (@p159 @p158)) % 62.61/62.88 (step @p161 :rule instantiate :premises (@p81) :args ((@list @t120 @t150 @t17))) % 62.61/62.88 (step @p162 :rule symm :premises (@p161)) % 62.61/62.88 (step @p163 :rule refl :args (@t150)) % 62.61/62.88 (step @p164 :rule instantiate :premises (@p130) :args ((@list @t118))) % 62.61/62.88 (step @p165 :rule trans :premises (@p164 @p139)) % 62.61/62.88 (step @p166 :rule cong :premises (@p165 @p139 @p163 @p83) :args (@t151)) % 62.61/62.88 (step @p167 :rule instantiate :premises (@p81) :args ((@list @t152 @t151 @t17))) % 62.61/62.88 (step @p168 :rule symm :premises (@p167)) % 62.61/62.88 (step @p169 :rule refl :args (@t151)) % 62.61/62.88 (step @p170 :rule instantiate :premises (@p81) :args ((@list @t153 @t152 @t17))) % 62.61/62.88 (step @p171 :rule symm :premises (@p170)) % 62.61/62.88 (step @p172 :rule refl :args (@t152)) % 62.61/62.88 (step @p173 :rule instantiate :premises (@p81) :args ((@list @t154 @t153 @t17))) % 62.61/62.88 (step @p174 :rule symm :premises (@p173)) % 62.61/62.88 (step @p175 :rule refl :args (@t153)) % 62.61/62.88 (step @p176 :rule eq-symm :args (@t154 @t17)) % 62.61/62.88 (step @p177 :rule cong :premises (@p145 @p176) :args ((=> @t145 @t155))) % 62.61/62.88 (assume-push @p253 @t145) % 62.61/62.88 (step @p179 :rule instantiate :premises (@p130) :args ((@list @t111))) % 62.61/62.88 (step-pop @p254 :rule scope :premises (@p179)) % 62.61/62.88 (step @p180 :rule process_scope :premises (@p254) :args (@t155)) % 62.61/62.88 (step @p182 :rule eq_resolve :premises (@p180 @p177)) % 62.61/62.88 (step @p183 :rule implies_elim :premises (@p182)) % 62.61/62.88 (step @p184 :rule chain_m_resolution :premises (@p183 @p130) :args ((= @t17 @t154) @t147 @t148)) % 62.61/62.88 (step @p185 :rule refl :args (@t154)) % 62.61/62.88 (step @p186 :rule cong :premises (@p185 @p184 @p175 @p83) :args (@t156)) % 62.61/62.88 (step @p187 :rule instantiate :premises (@p81) :args ((@list @t34 @t156 @t17))) % 62.61/62.88 (step @p188 :rule symm :premises (@p187)) % 62.61/62.88 (step @p189 :rule refl :args (@t156)) % 62.61/62.88 (step @p190 :rule cong :premises (@p85 @p89 @p189 @p83) :args ((tptp.ifeq3 @t34 @t17 @t156 @t17))) % 62.61/62.88 (step @p191 :rule refl :args (@t88)) % 62.61/62.88 (step @p192 :rule refl :args (@t89)) % 62.61/62.88 (step @p193 :rule cong :premises (@p192 @p42 @p191 @p42) :args (@t90)) % 62.61/62.88 (step @p194 :rule refl :args (@t91)) % 62.61/62.88 (step @p195 :rule cong :premises (@p194 @p42 @p193 @p42) :args (@t92)) % 62.61/62.88 (step @p196 :rule cong :premises (@p42 @p195) :args (@t157)) % 62.61/62.88 (step @p197 :rule cong :premises (@p196) :args ((forall @t93 @t157))) % 62.61/62.88 (step @p198 :rule eq-symm :args (@t92 tptp.true)) % 62.61/62.88 (step @p199 :rule cong :premises (@p198) :args (@t94)) % 62.61/62.88 (step @p200 :rule trans :premises (@p199 @p197)) % 62.61/62.88 (step @p201 :rule eq_resolve :premises (@p26 @p200)) % 62.61/62.88 (step @p202 :rule instantiate :premises (@p201) :args ((@list tptp.c26 @t33 @t111 @t111))) % 62.61/62.88 (step @p203 :rule trans :premises (@p202 @p190 @p188 @p186 @p174)) % 62.61/62.88 (step @p204 :rule cong :premises (@p175 @p203 @p172 @p83) :args (@t158)) % 62.61/62.88 (step @p205 :rule instantiate :premises (@p81) :args ((@list @t159 @t158 @t17))) % 62.61/62.88 (step @p206 :rule symm :premises (@p205)) % 62.61/62.88 (step @p207 :rule refl :args (@t158)) % 62.61/62.88 (step @p208 :rule eq-symm :args (@t159 @t17)) % 62.61/62.88 (step @p209 :rule cong :premises (@p145 @p208) :args ((=> @t145 @t160))) % 62.61/62.88 (assume-push @p255 @t145) % 62.61/62.88 (step @p211 :rule instantiate :premises (@p130) :args ((@list @t113))) % 62.61/62.88 (step-pop @p256 :rule scope :premises (@p211)) % 62.61/62.88 (step @p212 :rule process_scope :premises (@p256) :args (@t160)) % 62.61/62.88 (step @p214 :rule eq_resolve :premises (@p212 @p209)) % 62.61/62.88 (step @p215 :rule implies_elim :premises (@p214)) % 62.61/62.88 (step @p216 :rule chain_m_resolution :premises (@p215 @p130) :args ((= @t17 @t159) @t147 @t148)) % 62.61/62.88 (step @p217 :rule refl :args (@t159)) % 62.61/62.88 (step @p218 :rule cong :premises (@p217 @p216 @p207 @p83) :args ((tptp.ifeq3 @t159 @t17 @t158 @t17))) % 62.61/62.88 (step @p219 :rule refl :args (@t77)) % 62.61/62.88 (step @p220 :rule refl :args (@t78)) % 62.61/62.88 (step @p221 :rule cong :premises (@p220 @p42 @p219 @p42) :args (@t79)) % 62.61/62.88 (step @p222 :rule refl :args (@t80)) % 62.61/62.88 (step @p223 :rule cong :premises (@p222 @p42 @p221 @p42) :args (@t81)) % 62.61/62.88 (step @p224 :rule cong :premises (@p42 @p223) :args (@t161)) % 62.61/62.88 (step @p225 :rule cong :premises (@p224) :args ((forall @t82 @t161))) % 62.61/62.88 (step @p226 :rule eq-symm :args (@t81 tptp.true)) % 62.61/62.88 (step @p227 :rule cong :premises (@p226) :args (@t83)) % 62.61/62.88 (step @p228 :rule trans :premises (@p227 @p225)) % 62.61/62.88 (step @p229 :rule eq_resolve :premises (@p25 @p228)) % 62.61/62.88 (step @p230 :rule instantiate :premises (@p229) :args ((@list @t113 @t113 @t114 @t127))) % 62.61/62.88 (step @p231 :rule trans :premises (@p230 @p218 @p206 @p204 @p171)) % 62.61/62.88 (step @p232 :rule cong :premises (@p172 @p231 @p169 @p83) :args ((tptp.ifeq3 @t152 @t17 @t151 @t17))) % 62.61/62.88 (step @p233 :rule instantiate :premises (@p229) :args ((@list @t115 @t138 @t118 @t118))) % 62.61/62.88 (step @p234 :rule trans :premises (@p233 @p232 @p168 @p166 @p162)) % 62.61/62.88 (step @p235 :rule trans :premises (@p131 @p234)) % 62.61/62.88 (step @p236 :rule cong :premises (@p235 @p131 @p160 @p83) :args (@t149)) % 62.61/62.88 (step @p237 :rule trans :premises (@p159 @p236 @p119)) % 62.61/62.88 (step @p238 :rule cong :premises (@p237 @p106 @p65 @p59) :args (@t162)) % 62.61/62.88 (step @p239 :rule refl :args (@t162)) % 62.61/62.88 (step @p240 :rule cong :premises (@p239 @p238 @p41 @p40) :args (@t163)) % 62.61/62.88 (step @p241 :rule trans :premises (@p240 @p53)) % 62.61/62.88 (step @p242 :rule cong :premises (@p41 @p241) :args (@t164)) % 62.61/62.88 (step @p243 :rule trans :premises (@p242 @p39)) % 62.61/62.88 (step @p244 :rule false_elim :premises (@p243)) % 62.61/62.88 (assume-push @p257 @t165) % 62.61/62.88 (step @p246 :rule instantiate :premises (@p38) :args ((@list @t162 tptp.a tptp.b))) % 62.61/62.88 (step-pop @p258 :rule scope :premises (@p246)) % 62.61/62.88 (step @p247 :rule process_scope :premises (@p258) :args (@t164)) % 62.61/62.88 (step @p249 :rule implies_elim :premises (@p247)) % 62.61/62.88 (step @p250 false :rule chain_m_resolution :premises (@p249 @p244 @p38) :args (false (@list true false) (@list @t164 @t165))) % 62.61/62.88 ) % 62.61/62.89 % SZS output end Proof % 62.61/62.89 % cvc5 exiting %------------------------------------------------------------------------------