%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ039-10 : 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 : n005.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 08:44:02 AM UTC 2026 % Result : Unsatisfiable 1.32s 1.59s % Output : Proof 1.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ039-10 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n005.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 13:13:03 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.32/1.59 % SZS status Unsatisfiable % 1.32/1.59 % SZS output start Proof % 1.32/1.59 ( % 1.32/1.59 (declare-sort $$unsorted 0) % 1.32/1.59 (declare-const tptp.o $$unsorted) % 1.32/1.59 (declare-const tptp.bb (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.v4 (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.h (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.true $$unsorted) % 1.32/1.59 (declare-const tptp.e1 (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.v1 (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.s1 (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.s3 (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.v3 (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.state (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.s2 (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.e2 (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.v2 (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (declare-const tptp.s4 (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.59 (define @t1 () (@var "B" $$unsorted)) % 1.32/1.59 (define @t2 () (@var "C" $$unsorted)) % 1.32/1.59 (define @t3 () (@var "A" $$unsorted)) % 1.32/1.59 (define @t4 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 1.32/1.59 (define @t5 () (forall (@list @t3 @t1 @t2) (= @t4 @t1))) % 1.32/1.59 (define @t6 () (@var "E2" $$unsorted)) % 1.32/1.59 (define @t7 () (@var "Y" $$unsorted)) % 1.32/1.59 (define @t8 () (@var "X" $$unsorted)) % 1.32/1.59 (define @t9 () (tptp.e1 @t8 @t7)) % 1.32/1.59 (define @t10 () (@var "S4" $$unsorted)) % 1.32/1.59 (define @t11 () (@var "S3" $$unsorted)) % 1.32/1.59 (define @t12 () (@var "S2" $$unsorted)) % 1.32/1.59 (define @t13 () (tptp.s @t7)) % 1.32/1.59 (define @t14 () (@var "H" $$unsorted)) % 1.32/1.59 (define @t15 () (@var "V4" $$unsorted)) % 1.32/1.59 (define @t16 () (@var "V3" $$unsorted)) % 1.32/1.59 (define @t17 () (@var "V2" $$unsorted)) % 1.32/1.59 (define @t18 () (@var "V1" $$unsorted)) % 1.32/1.59 (define @t19 () (tptp.state @t1 @t18 @t17 @t16 @t15 @t14 (tptp.s1 @t8 @t13) @t12 @t11 @t10 @t9 @t6)) % 1.32/1.59 (define @t20 () (tptp.e1 @t8 @t13)) % 1.32/1.59 (define @t21 () (tptp.s1 @t8 @t7)) % 1.32/1.59 (define @t22 () (tptp.state @t1 @t18 @t17 @t16 @t15 @t14 @t21 @t12 @t11 @t10 @t20 @t6)) % 1.32/1.59 (define @t23 () (@list @t1 @t18 @t17 @t16 @t15 @t14 @t8 @t7 @t12 @t11 @t10 @t6)) % 1.32/1.59 (define @t24 () (tptp.s @t8)) % 1.32/1.59 (define @t25 () (tptp.state @t1 @t18 @t17 @t16 @t15 @t14 (tptp.s1 @t24 @t7) @t12 @t11 @t10 @t9 @t6)) % 1.32/1.59 (define @t26 () (tptp.e1 @t24 @t7)) % 1.32/1.59 (define @t27 () (tptp.state @t1 @t18 @t17 @t16 @t15 @t14 @t21 @t12 @t11 @t10 @t26 @t6)) % 1.32/1.59 (define @t28 () (@var "S1" $$unsorted)) % 1.32/1.59 (define @t29 () (tptp.state @t1 @t18 @t17 @t16 @t15 @t14 @t28 (tptp.s2 @t8 @t13) @t11 @t10 @t9 @t6)) % 1.32/1.59 (define @t30 () (tptp.s2 @t8 @t7)) % 1.32/1.59 (define @t31 () (tptp.state @t1 @t18 @t17 @t16 @t15 @t14 @t28 @t30 @t11 @t10 @t20 @t6)) % 1.32/1.59 (define @t32 () (@list @t1 @t18 @t17 @t16 @t15 @t14 @t28 @t8 @t7 @t11 @t10 @t6)) % 1.32/1.59 (define @t33 () (tptp.state @t1 @t18 @t17 @t16 @t15 @t14 @t28 (tptp.s2 @t24 @t7) @t11 @t10 @t9 @t6)) % 1.32/1.59 (define @t34 () (tptp.state @t1 @t18 @t17 @t16 @t15 @t14 @t28 @t30 @t11 @t10 @t26 @t6)) % 1.32/1.59 (define @t35 () (tptp.ifeq @t34 tptp.true @t33 tptp.true)) % 1.32/1.59 (define @t36 () (forall @t32 (= @t35 tptp.true))) % 1.32/1.59 (define @t37 () (tptp.state @t1 @t18 @t17 @t16 @t15 @t14 @t28 @t12 (tptp.s3 @t8 @t13) @t10 @t9 @t6)) % 1.32/1.59 (define @t38 () (tptp.s3 @t8 @t7)) % 1.32/1.59 (define @t39 () (tptp.state @t1 @t18 @t17 @t16 @t15 @t14 @t28 @t12 @t38 @t10 @t20 @t6)) % 1.32/1.59 (define @t40 () (@list @t1 @t18 @t17 @t16 @t15 @t14 @t28 @t12 @t8 @t7 @t10 @t6)) % 1.32/1.59 (define @t41 () (tptp.state @t1 @t18 @t17 @t16 @t15 @t14 @t28 @t12 (tptp.s3 @t24 @t7) @t10 @t9 @t6)) % 1.32/1.59 (define @t42 () (tptp.state @t1 @t18 @t17 @t16 @t15 @t14 @t28 @t12 @t38 @t10 @t26 @t6)) % 1.32/1.59 (define @t43 () (tptp.state @t1 @t18 @t17 @t16 @t15 @t14 @t28 @t12 @t11 (tptp.s4 @t8 @t13) @t9 @t6)) % 1.32/1.59 (define @t44 () (tptp.s4 @t8 @t7)) % 1.32/1.59 (define @t45 () (tptp.state @t1 @t18 @t17 @t16 @t15 @t14 @t28 @t12 @t11 @t44 @t20 @t6)) % 1.32/1.59 (define @t46 () (tptp.ifeq @t45 tptp.true @t43 tptp.true)) % 1.32/1.59 (define @t47 () (@list @t1 @t18 @t17 @t16 @t15 @t14 @t28 @t12 @t11 @t8 @t7 @t6)) % 1.32/1.59 (define @t48 () (forall @t47 (= @t46 tptp.true))) % 1.32/1.59 (define @t49 () (tptp.state @t1 @t18 @t17 @t16 @t15 @t14 @t28 @t12 @t11 (tptp.s4 @t24 @t7) @t9 @t6)) % 1.32/1.59 (define @t50 () (tptp.state @t1 @t18 @t17 @t16 @t15 @t14 @t28 @t12 @t11 @t44 @t26 @t6)) % 1.32/1.59 (define @t51 () (tptp.e2 @t24 @t7)) % 1.32/1.59 (define @t52 () (tptp.state @t1 (tptp.v1 @t8 @t13) @t17 @t16 @t15 @t14 @t28 @t12 @t11 @t10 @t9 @t51)) % 1.32/1.59 (define @t53 () (tptp.e2 @t24 @t13)) % 1.32/1.59 (define @t54 () (tptp.v1 @t8 @t7)) % 1.32/1.59 (define @t55 () (tptp.state @t1 @t54 @t17 @t16 @t15 @t14 @t28 @t12 @t11 @t10 @t20 @t53)) % 1.32/1.59 (define @t56 () (@list @t1 @t8 @t7 @t17 @t16 @t15 @t14 @t28 @t12 @t11 @t10)) % 1.32/1.59 (define @t57 () (tptp.state @t1 (tptp.v1 @t24 @t7) @t17 @t16 @t15 @t14 @t28 @t12 @t11 @t10 @t9 @t6)) % 1.32/1.59 (define @t58 () (tptp.s @t24)) % 1.32/1.59 (define @t59 () (tptp.e1 @t58 @t7)) % 1.32/1.59 (define @t60 () (tptp.state @t1 @t54 @t17 @t16 @t15 @t14 @t28 @t12 @t11 @t10 @t59 @t6)) % 1.32/1.59 (define @t61 () (@list @t1 @t8 @t7 @t17 @t16 @t15 @t14 @t28 @t12 @t11 @t10 @t6)) % 1.32/1.59 (define @t62 () (tptp.state @t1 @t18 (tptp.v2 @t8 @t13) @t16 @t15 @t14 @t28 @t12 @t11 @t10 @t9 @t51)) % 1.32/1.59 (define @t63 () (tptp.v2 @t8 @t7)) % 1.32/1.59 (define @t64 () (tptp.state @t1 @t18 @t63 @t16 @t15 @t14 @t28 @t12 @t11 @t10 @t20 @t53)) % 1.32/1.59 (define @t65 () (@list @t1 @t18 @t8 @t7 @t16 @t15 @t14 @t28 @t12 @t11 @t10)) % 1.32/1.59 (define @t66 () (tptp.state @t1 @t18 (tptp.v2 @t24 @t7) @t16 @t15 @t14 @t28 @t12 @t11 @t10 @t9 @t6)) % 1.32/1.59 (define @t67 () (tptp.state @t1 @t18 @t63 @t16 @t15 @t14 @t28 @t12 @t11 @t10 @t59 @t6)) % 1.32/1.59 (define @t68 () (@list @t1 @t18 @t8 @t7 @t16 @t15 @t14 @t28 @t12 @t11 @t10 @t6)) % 1.32/1.59 (define @t69 () (tptp.state @t1 @t18 @t17 (tptp.v3 @t8 @t13) @t15 @t14 @t28 @t12 @t11 @t10 @t9 @t51)) % 1.32/1.59 (define @t70 () (tptp.v3 @t8 @t7)) % 1.32/1.59 (define @t71 () (tptp.state @t1 @t18 @t17 @t70 @t15 @t14 @t28 @t12 @t11 @t10 @t20 @t53)) % 1.32/1.59 (define @t72 () (@list @t1 @t18 @t17 @t8 @t7 @t15 @t14 @t28 @t12 @t11 @t10)) % 1.32/1.59 (define @t73 () (tptp.state @t1 @t18 @t17 (tptp.v3 @t24 @t7) @t15 @t14 @t28 @t12 @t11 @t10 @t9 @t6)) % 1.32/1.59 (define @t74 () (tptp.state @t1 @t18 @t17 @t70 @t15 @t14 @t28 @t12 @t11 @t10 @t59 @t6)) % 1.32/1.59 (define @t75 () (tptp.ifeq @t74 tptp.true @t73 tptp.true)) % 1.32/1.59 (define @t76 () (@list @t1 @t18 @t17 @t8 @t7 @t15 @t14 @t28 @t12 @t11 @t10 @t6)) % 1.32/1.59 (define @t77 () (forall @t76 (= @t75 tptp.true))) % 1.32/1.59 (define @t78 () (tptp.state @t1 @t18 @t17 @t16 (tptp.v4 @t8 @t13) @t14 @t28 @t12 @t11 @t10 @t9 @t51)) % 1.32/1.59 (define @t79 () (tptp.v4 @t8 @t7)) % 1.32/1.59 (define @t80 () (tptp.state @t1 @t18 @t17 @t16 @t79 @t14 @t28 @t12 @t11 @t10 @t20 @t53)) % 1.32/1.59 (define @t81 () (@list @t1 @t18 @t17 @t16 @t8 @t7 @t14 @t28 @t12 @t11 @t10)) % 1.32/1.59 (define @t82 () (tptp.ifeq @t78 tptp.true @t80 tptp.true)) % 1.32/1.59 (define @t83 () (forall @t81 (= @t82 tptp.true))) % 1.32/1.59 (define @t84 () (tptp.state @t1 @t18 @t17 @t16 (tptp.v4 @t24 @t7) @t14 @t28 @t12 @t11 @t10 @t9 @t6)) % 1.32/1.59 (define @t85 () (tptp.state @t1 @t18 @t17 @t16 @t79 @t14 @t28 @t12 @t11 @t10 @t59 @t6)) % 1.32/1.59 (define @t86 () (@list @t1 @t18 @t17 @t16 @t8 @t7 @t14 @t28 @t12 @t11 @t10 @t6)) % 1.32/1.59 (define @t87 () (tptp.state @t1 @t18 @t17 @t16 @t15 (tptp.h @t8 @t13) @t28 @t12 @t11 @t10 @t9 @t6)) % 1.32/1.59 (define @t88 () (tptp.s @t13)) % 1.32/1.59 (define @t89 () (tptp.e1 @t8 @t88)) % 1.32/1.59 (define @t90 () (tptp.h @t8 @t7)) % 1.32/1.59 (define @t91 () (tptp.state @t1 @t18 @t17 @t16 @t15 @t90 @t28 @t12 @t11 @t10 @t89 @t6)) % 1.32/1.59 (define @t92 () (@list @t1 @t18 @t17 @t16 @t15 @t8 @t7 @t28 @t12 @t11 @t10 @t6)) % 1.32/1.59 (define @t93 () (tptp.ifeq @t87 tptp.true @t91 tptp.true)) % 1.32/1.59 (define @t94 () (forall @t92 (= @t93 tptp.true))) % 1.32/1.59 (define @t95 () (tptp.e2 @t8 @t13)) % 1.32/1.59 (define @t96 () (tptp.state @t1 @t18 @t17 @t16 @t15 (tptp.h @t24 @t7) @t28 @t12 @t11 @t10 @t9 @t95)) % 1.32/1.59 (define @t97 () (tptp.state @t1 @t18 @t17 @t16 @t15 @t90 @t28 @t12 @t11 @t10 @t26 @t53)) % 1.32/1.59 (define @t98 () (@list @t1 @t18 @t17 @t16 @t15 @t8 @t7 @t28 @t12 @t11 @t10)) % 1.32/1.59 (define @t99 () (tptp.state (tptp.bb @t8 @t13) @t18 @t17 @t16 @t15 @t14 @t28 @t12 @t11 @t10 @t9 @t51)) % 1.32/1.59 (define @t100 () (tptp.bb @t8 @t7)) % 1.32/1.59 (define @t101 () (tptp.state @t100 @t18 @t17 @t16 @t15 @t14 @t28 @t12 @t11 @t10 @t89 (tptp.e2 @t24 @t88))) % 1.32/1.59 (define @t102 () (@list @t8 @t7 @t18 @t17 @t16 @t15 @t14 @t28 @t12 @t11 @t10)) % 1.32/1.59 (define @t103 () (tptp.state (tptp.bb @t24 @t7) @t18 @t17 @t16 @t15 @t14 @t28 @t12 @t11 @t10 @t9 @t95)) % 1.32/1.59 (define @t104 () (tptp.state @t100 @t18 @t17 @t16 @t15 @t14 @t28 @t12 @t11 @t10 @t59 (tptp.e2 @t58 @t13))) % 1.32/1.59 (define @t105 () (@var "W" $$unsorted)) % 1.32/1.59 (define @t106 () (@var "Q" $$unsorted)) % 1.32/1.59 (define @t107 () (tptp.ifeq (tptp.state @t1 @t18 @t17 @t16 @t15 @t14 @t28 @t12 @t11 @t10 @t9 (tptp.e2 @t106 @t105)) tptp.true (tptp.state @t1 @t18 @t17 @t16 @t15 @t14 @t28 @t12 @t11 @t10 (tptp.e1 @t106 @t105) (tptp.e2 @t8 @t7)) tptp.true)) % 1.32/1.59 (define @t108 () (forall (@list @t1 @t18 @t17 @t16 @t15 @t14 @t28 @t12 @t11 @t10 @t8 @t7 @t106 @t105) (= @t107 tptp.true))) % 1.32/1.59 (define @t109 () (tptp.s tptp.o)) % 1.32/1.59 (define @t110 () (tptp.s @t109)) % 1.32/1.59 (define @t111 () (tptp.s @t110)) % 1.32/1.59 (define @t112 () (tptp.s @t111)) % 1.32/1.59 (define @t113 () (tptp.e1 @t112 tptp.o)) % 1.32/1.59 (define @t114 () (tptp.s4 @t112 @t110)) % 1.32/1.59 (define @t115 () (tptp.s3 @t112 @t109)) % 1.32/1.59 (define @t116 () (tptp.s2 @t111 @t110)) % 1.32/1.59 (define @t117 () (tptp.s1 @t111 @t109)) % 1.32/1.59 (define @t118 () (tptp.h @t110 @t109)) % 1.32/1.59 (define @t119 () (tptp.v4 @t110 @t111)) % 1.32/1.59 (define @t120 () (tptp.v3 @t110 tptp.o)) % 1.32/1.59 (define @t121 () (tptp.v2 tptp.o @t111)) % 1.32/1.59 (define @t122 () (tptp.v1 tptp.o tptp.o)) % 1.32/1.59 (define @t123 () (tptp.bb tptp.o @t109)) % 1.32/1.59 (define @t124 () (tptp.state @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t113 (tptp.e2 @t112 @t111))) % 1.32/1.59 (define @t125 () (@var "E1" $$unsorted)) % 1.32/1.59 (define @t126 () (tptp.v4 @t110 @t110)) % 1.32/1.59 (define @t127 () (tptp.state @t1 @t18 @t17 @t16 @t126 @t14 @t28 @t12 @t11 @t10 @t125 @t6)) % 1.32/1.59 (define @t128 () (not (= @t127 tptp.true))) % 1.32/1.59 (define @t129 () (forall (@list @t1 @t18 @t17 @t16 @t14 @t28 @t12 @t11 @t10 @t125 @t6) @t128)) % 1.32/1.59 (define @t130 () (tptp.e2 @t112 tptp.o)) % 1.32/1.59 (define @t131 () (tptp.state @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 (tptp.e1 @t112 @t111) @t130)) % 1.32/1.59 (define @t132 () (tptp.s4 @t112 @t111)) % 1.32/1.59 (define @t133 () (tptp.state @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t132 (tptp.e1 @t112 @t110) @t130)) % 1.32/1.59 (define @t134 () (tptp.s2 @t112 @t110)) % 1.32/1.59 (define @t135 () (tptp.state @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t134 @t115 @t132 (tptp.e1 @t111 @t110) @t130)) % 1.32/1.59 (define @t136 () (tptp.e2 @t111 @t110)) % 1.32/1.59 (define @t137 () (tptp.state @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t134 @t115 @t132 @t113 @t136)) % 1.32/1.59 (define @t138 () (tptp.v3 @t111 tptp.o)) % 1.32/1.59 (define @t139 () (tptp.state @t123 @t122 @t121 @t138 @t119 @t118 @t117 @t134 @t115 @t132 (tptp.e1 @t110 tptp.o) @t136)) % 1.32/1.59 (define @t140 () (tptp.h @t110 tptp.o)) % 1.32/1.59 (define @t141 () (tptp.state @t123 @t122 @t121 @t138 @t119 @t140 @t117 @t134 @t115 @t132 (tptp.e1 @t110 @t110) @t136)) % 1.32/1.59 (define @t142 () (tptp.e2 @t111 @t111)) % 1.32/1.59 (define @t143 () (tptp.e1 @t110 @t111)) % 1.32/1.59 (define @t144 () (tptp.state @t123 @t122 @t121 @t138 @t126 @t140 @t117 @t134 @t115 @t132 @t143 @t142)) % 1.32/1.59 (define @t145 () (= tptp.true @t124)) % 1.32/1.59 (define @t146 () (tptp.ifeq @t124 tptp.true @t131 tptp.true)) % 1.32/1.59 (define @t147 () (= tptp.true @t146)) % 1.32/1.59 (define @t148 () (= @t131 (tptp.ifeq tptp.true tptp.true @t131 tptp.true))) % 1.32/1.59 (define @t149 () (= tptp.true (tptp.ifeq @t131 tptp.true @t133 tptp.true))) % 1.32/1.59 (define @t150 () (tptp.ifeq tptp.true tptp.true @t133 tptp.true)) % 1.32/1.59 (define @t151 () (= @t133 @t150)) % 1.32/1.59 (define @t152 () (tptp.ifeq @t133 tptp.true @t135 tptp.true)) % 1.32/1.59 (define @t153 () (= tptp.true @t152)) % 1.32/1.59 (define @t154 () (= @t135 (tptp.ifeq tptp.true tptp.true @t135 tptp.true))) % 1.32/1.59 (define @t155 () (= tptp.true (tptp.ifeq @t135 tptp.true @t137 tptp.true))) % 1.32/1.59 (define @t156 () (tptp.ifeq tptp.true tptp.true @t137 tptp.true)) % 1.32/1.59 (define @t157 () (= @t137 @t156)) % 1.32/1.59 (define @t158 () (tptp.ifeq @t137 tptp.true @t139 tptp.true)) % 1.32/1.59 (define @t159 () (= tptp.true @t158)) % 1.32/1.59 (define @t160 () (= @t139 (tptp.ifeq tptp.true tptp.true @t139 tptp.true))) % 1.32/1.59 (define @t161 () (= tptp.true (tptp.ifeq @t139 tptp.true @t141 tptp.true))) % 1.32/1.59 (define @t162 () (tptp.ifeq tptp.true tptp.true @t141 tptp.true)) % 1.32/1.59 (define @t163 () (= @t141 @t162)) % 1.32/1.59 (define @t164 () (tptp.ifeq @t141 tptp.true @t144 tptp.true)) % 1.32/1.59 (define @t165 () (= tptp.true @t164)) % 1.32/1.59 (define @t166 () (= @t144 (tptp.ifeq tptp.true tptp.true @t144 tptp.true))) % 1.32/1.59 (define @t167 () (= tptp.true @t144)) % 1.32/1.59 (define @t168 () (and @t145 @t147 @t148 @t149 @t151 @t153 @t154 @t155 @t157 @t159 @t160 @t161 @t163 @t165 @t166)) % 1.32/1.59 (assume @p1 @t5) % 1.32/1.59 (assume @p2 (forall @t23 (= (tptp.ifeq @t22 tptp.true @t19 tptp.true) tptp.true))) % 1.32/1.59 (assume @p3 (forall @t23 (= (tptp.ifeq @t19 tptp.true @t22 tptp.true) tptp.true))) % 1.32/1.59 (assume @p4 (forall @t23 (= (tptp.ifeq @t27 tptp.true @t25 tptp.true) tptp.true))) % 1.32/1.59 (assume @p5 (forall @t23 (= (tptp.ifeq @t25 tptp.true @t27 tptp.true) tptp.true))) % 1.32/1.59 (assume @p6 (forall @t32 (= (tptp.ifeq @t31 tptp.true @t29 tptp.true) tptp.true))) % 1.32/1.59 (assume @p7 (forall @t32 (= (tptp.ifeq @t29 tptp.true @t31 tptp.true) tptp.true))) % 1.32/1.59 (assume @p8 @t36) % 1.32/1.59 (assume @p9 (forall @t32 (= (tptp.ifeq @t33 tptp.true @t34 tptp.true) tptp.true))) % 1.32/1.59 (assume @p10 (forall @t40 (= (tptp.ifeq @t39 tptp.true @t37 tptp.true) tptp.true))) % 1.32/1.59 (assume @p11 (forall @t40 (= (tptp.ifeq @t37 tptp.true @t39 tptp.true) tptp.true))) % 1.32/1.59 (assume @p12 (forall @t40 (= (tptp.ifeq @t42 tptp.true @t41 tptp.true) tptp.true))) % 1.32/1.59 (assume @p13 (forall @t40 (= (tptp.ifeq @t41 tptp.true @t42 tptp.true) tptp.true))) % 1.32/1.59 (assume @p14 @t48) % 1.32/1.59 (assume @p15 (forall @t47 (= (tptp.ifeq @t43 tptp.true @t45 tptp.true) tptp.true))) % 1.32/1.59 (assume @p16 (forall @t47 (= (tptp.ifeq @t50 tptp.true @t49 tptp.true) tptp.true))) % 1.32/1.59 (assume @p17 (forall @t47 (= (tptp.ifeq @t49 tptp.true @t50 tptp.true) tptp.true))) % 1.32/1.59 (assume @p18 (forall @t56 (= (tptp.ifeq @t55 tptp.true @t52 tptp.true) tptp.true))) % 1.32/1.59 (assume @p19 (forall @t56 (= (tptp.ifeq @t52 tptp.true @t55 tptp.true) tptp.true))) % 1.32/1.59 (assume @p20 (forall @t61 (= (tptp.ifeq @t60 tptp.true @t57 tptp.true) tptp.true))) % 1.32/1.59 (assume @p21 (forall @t61 (= (tptp.ifeq @t57 tptp.true @t60 tptp.true) tptp.true))) % 1.32/1.59 (assume @p22 (forall @t65 (= (tptp.ifeq @t64 tptp.true @t62 tptp.true) tptp.true))) % 1.32/1.59 (assume @p23 (forall @t65 (= (tptp.ifeq @t62 tptp.true @t64 tptp.true) tptp.true))) % 1.32/1.59 (assume @p24 (forall @t68 (= (tptp.ifeq @t67 tptp.true @t66 tptp.true) tptp.true))) % 1.32/1.59 (assume @p25 (forall @t68 (= (tptp.ifeq @t66 tptp.true @t67 tptp.true) tptp.true))) % 1.32/1.59 (assume @p26 (forall @t72 (= (tptp.ifeq @t71 tptp.true @t69 tptp.true) tptp.true))) % 1.32/1.59 (assume @p27 (forall @t72 (= (tptp.ifeq @t69 tptp.true @t71 tptp.true) tptp.true))) % 1.32/1.59 (assume @p28 @t77) % 1.32/1.59 (assume @p29 (forall @t76 (= (tptp.ifeq @t73 tptp.true @t74 tptp.true) tptp.true))) % 1.32/1.59 (assume @p30 (forall @t81 (= (tptp.ifeq @t80 tptp.true @t78 tptp.true) tptp.true))) % 1.32/1.59 (assume @p31 @t83) % 1.32/1.59 (assume @p32 (forall @t86 (= (tptp.ifeq @t85 tptp.true @t84 tptp.true) tptp.true))) % 1.32/1.59 (assume @p33 (forall @t86 (= (tptp.ifeq @t84 tptp.true @t85 tptp.true) tptp.true))) % 1.32/1.59 (assume @p34 (forall @t92 (= (tptp.ifeq @t91 tptp.true @t87 tptp.true) tptp.true))) % 1.32/1.59 (assume @p35 @t94) % 1.32/1.59 (assume @p36 (forall @t98 (= (tptp.ifeq @t97 tptp.true @t96 tptp.true) tptp.true))) % 1.32/1.59 (assume @p37 (forall @t98 (= (tptp.ifeq @t96 tptp.true @t97 tptp.true) tptp.true))) % 1.32/1.59 (assume @p38 (forall @t102 (= (tptp.ifeq @t101 tptp.true @t99 tptp.true) tptp.true))) % 1.32/1.59 (assume @p39 (forall @t102 (= (tptp.ifeq @t99 tptp.true @t101 tptp.true) tptp.true))) % 1.32/1.59 (assume @p40 (forall @t102 (= (tptp.ifeq @t104 tptp.true @t103 tptp.true) tptp.true))) % 1.32/1.59 (assume @p41 (forall @t102 (= (tptp.ifeq @t103 tptp.true @t104 tptp.true) tptp.true))) % 1.32/1.59 (assume @p42 @t108) % 1.32/1.59 (assume @p43 (= @t124 tptp.true)) % 1.32/1.59 (assume @p44 @t129) % 1.32/1.59 (step @p45 :rule symm :premises (@p43)) % 1.32/1.59 (step @p46 :rule eq-symm :args (@t107 tptp.true)) % 1.32/1.59 (step @p47 :rule cong :premises (@p46) :args (@t108)) % 1.32/1.59 (step @p48 :rule eq_resolve :premises (@p42 @p47)) % 1.32/1.59 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t112 tptp.o @t112 @t111))) % 1.32/1.59 (step @p50 :rule eq-symm :args (@t4 @t1)) % 1.32/1.59 (step @p51 :rule cong :premises (@p50) :args (@t5)) % 1.32/1.59 (step @p52 :rule eq_resolve :premises (@p1 @p51)) % 1.32/1.59 (step @p53 :rule instantiate :premises (@p52) :args ((@list tptp.true @t131 tptp.true))) % 1.32/1.59 (step @p54 :rule eq-symm :args (@t46 tptp.true)) % 1.32/1.59 (step @p55 :rule cong :premises (@p54) :args (@t48)) % 1.32/1.59 (step @p56 :rule eq_resolve :premises (@p14 @p55)) % 1.32/1.59 (step @p57 :rule instantiate :premises (@p56) :args ((@list @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t112 @t110 @t130))) % 1.32/1.59 (step @p58 :rule instantiate :premises (@p52) :args ((@list tptp.true @t133 tptp.true))) % 1.32/1.59 (step @p59 :rule eq-symm :args (@t35 tptp.true)) % 1.32/1.59 (step @p60 :rule cong :premises (@p59) :args (@t36)) % 1.32/1.59 (step @p61 :rule eq_resolve :premises (@p8 @p60)) % 1.32/1.59 (step @p62 :rule instantiate :premises (@p61) :args ((@list @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t111 @t110 @t115 @t132 @t130))) % 1.32/1.59 (step @p63 :rule instantiate :premises (@p52) :args ((@list tptp.true @t135 tptp.true))) % 1.32/1.59 (step @p64 :rule instantiate :premises (@p48) :args ((@list @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t134 @t115 @t132 @t111 @t110 @t112 tptp.o))) % 1.32/1.59 (step @p65 :rule instantiate :premises (@p52) :args ((@list tptp.true @t137 tptp.true))) % 1.32/1.59 (step @p66 :rule eq-symm :args (@t75 tptp.true)) % 1.32/1.59 (step @p67 :rule cong :premises (@p66) :args (@t77)) % 1.32/1.59 (step @p68 :rule eq_resolve :premises (@p28 @p67)) % 1.32/1.59 (step @p69 :rule instantiate :premises (@p68) :args ((@list @t123 @t122 @t121 @t110 tptp.o @t119 @t118 @t117 @t134 @t115 @t132 @t136))) % 1.32/1.59 (step @p70 :rule instantiate :premises (@p52) :args ((@list tptp.true @t139 tptp.true))) % 1.32/1.59 (step @p71 :rule eq-symm :args (@t93 tptp.true)) % 1.32/1.59 (step @p72 :rule cong :premises (@p71) :args (@t94)) % 1.32/1.59 (step @p73 :rule eq_resolve :premises (@p35 @p72)) % 1.32/1.59 (step @p74 :rule instantiate :premises (@p73) :args ((@list @t123 @t122 @t121 @t138 @t119 @t110 tptp.o @t117 @t134 @t115 @t132 @t136))) % 1.32/1.59 (step @p75 :rule instantiate :premises (@p52) :args ((@list tptp.true @t141 tptp.true))) % 1.32/1.59 (step @p76 :rule eq-symm :args (@t82 tptp.true)) % 1.32/1.59 (step @p77 :rule cong :premises (@p76) :args (@t83)) % 1.32/1.59 (step @p78 :rule eq_resolve :premises (@p31 @p77)) % 1.32/1.59 (step @p79 :rule instantiate :premises (@p78) :args ((@list @t123 @t122 @t121 @t138 @t110 @t110 @t140 @t117 @t134 @t115 @t132))) % 1.32/1.59 (step @p80 :rule instantiate :premises (@p52) :args ((@list tptp.true @t144 tptp.true))) % 1.32/1.59 (step @p81 :rule eq-symm :args (@t127 tptp.true)) % 1.32/1.59 (step @p82 :rule cong :premises (@p81) :args (@t128)) % 1.32/1.59 (step @p83 :rule cong :premises (@p82) :args (@t129)) % 1.32/1.59 (step @p84 :rule eq_resolve :premises (@p44 @p83)) % 1.32/1.59 (step @p85 :rule instantiate :premises (@p84) :args ((@list @t123 @t122 @t121 @t138 @t140 @t117 @t134 @t115 @t132 @t143 @t142))) % 1.32/1.59 (assume-push @p157 @t145) % 1.32/1.59 (assume-push @p158 @t147) % 1.32/1.59 (assume-push @p159 @t148) % 1.32/1.59 (assume-push @p160 @t149) % 1.32/1.59 (assume-push @p161 @t151) % 1.32/1.59 (assume-push @p162 @t153) % 1.32/1.59 (assume-push @p163 @t154) % 1.32/1.59 (assume-push @p164 @t155) % 1.32/1.59 (assume-push @p165 @t157) % 1.32/1.59 (assume-push @p166 @t159) % 1.32/1.59 (assume-push @p167 @t160) % 1.32/1.59 (assume-push @p168 @t161) % 1.32/1.59 (assume-push @p169 @t163) % 1.32/1.59 (assume-push @p170 @t165) % 1.32/1.59 (assume-push @p171 @t166) % 1.32/1.59 (step @p101 :rule symm :premises (@p80)) % 1.32/1.59 (step @p102 :rule refl :args (tptp.true)) % 1.32/1.59 (step @p103 :rule refl :args (@t144)) % 1.32/1.59 (step @p104 :rule symm :premises (@p74)) % 1.32/1.59 (step @p105 :rule refl :args (@t141)) % 1.32/1.59 (step @p106 :rule symm :premises (@p70)) % 1.32/1.59 (step @p107 :rule refl :args (@t139)) % 1.32/1.59 (step @p108 :rule symm :premises (@p64)) % 1.32/1.59 (step @p109 :rule refl :args (@t137)) % 1.32/1.59 (step @p110 :rule symm :premises (@p63)) % 1.32/1.59 (step @p111 :rule refl :args (@t135)) % 1.32/1.59 (step @p112 :rule symm :premises (@p57)) % 1.32/1.59 (step @p113 :rule refl :args (@t133)) % 1.32/1.59 (step @p114 :rule symm :premises (@p53)) % 1.32/1.59 (step @p115 :rule refl :args (@t131)) % 1.32/1.59 (step @p116 :rule cong :premises (@p43 @p102 @p115 @p102) :args (@t146)) % 1.32/1.59 (step @p117 :rule trans :premises (@p43 @p49 @p116 @p114)) % 1.32/1.59 (step @p118 :rule trans :premises (@p45 @p117)) % 1.32/1.59 (step @p119 :rule cong :premises (@p118 @p102 @p113 @p102) :args (@t150)) % 1.32/1.59 (step @p120 :rule trans :premises (@p58 @p119 @p112 @p45)) % 1.32/1.59 (step @p121 :rule trans :premises (@p120 @p43)) % 1.32/1.59 (step @p122 :rule cong :premises (@p121 @p102 @p111 @p102) :args (@t152)) % 1.32/1.59 (step @p123 :rule trans :premises (@p43 @p62 @p122 @p110)) % 1.32/1.59 (step @p124 :rule trans :premises (@p45 @p123)) % 1.32/1.59 (step @p125 :rule cong :premises (@p124 @p102 @p109 @p102) :args (@t156)) % 1.32/1.59 (step @p126 :rule trans :premises (@p65 @p125 @p108 @p45)) % 1.32/1.59 (step @p127 :rule trans :premises (@p126 @p43)) % 1.32/1.59 (step @p128 :rule cong :premises (@p127 @p102 @p107 @p102) :args (@t158)) % 1.32/1.59 (step @p129 :rule trans :premises (@p43 @p69 @p128 @p106)) % 1.32/1.59 (step @p130 :rule trans :premises (@p45 @p129)) % 1.32/1.59 (step @p131 :rule cong :premises (@p130 @p102 @p105 @p102) :args (@t162)) % 1.32/1.59 (step @p132 :rule trans :premises (@p75 @p131 @p104 @p45)) % 1.32/1.59 (step @p133 :rule trans :premises (@p132 @p43)) % 1.32/1.59 (step @p134 :rule cong :premises (@p133 @p102 @p103 @p102) :args (@t164)) % 1.32/1.59 (step @p135 :rule trans :premises (@p79 @p134 @p101)) % 1.32/1.59 (step-pop @p172 :rule scope :premises (@p135)) % 1.32/1.59 (step-pop @p173 :rule scope :premises (@p172)) % 1.32/1.59 (step-pop @p174 :rule scope :premises (@p173)) % 1.32/1.59 (step-pop @p175 :rule scope :premises (@p174)) % 1.32/1.59 (step-pop @p176 :rule scope :premises (@p175)) % 1.32/1.59 (step-pop @p177 :rule scope :premises (@p176)) % 1.32/1.59 (step-pop @p178 :rule scope :premises (@p177)) % 1.32/1.59 (step-pop @p179 :rule scope :premises (@p178)) % 1.32/1.59 (step-pop @p180 :rule scope :premises (@p179)) % 1.32/1.59 (step-pop @p181 :rule scope :premises (@p180)) % 1.32/1.59 (step-pop @p182 :rule scope :premises (@p181)) % 1.32/1.59 (step-pop @p183 :rule scope :premises (@p182)) % 1.32/1.59 (step-pop @p184 :rule scope :premises (@p183)) % 1.32/1.59 (step-pop @p185 :rule scope :premises (@p184)) % 1.32/1.59 (step-pop @p186 :rule scope :premises (@p185)) % 1.32/1.59 (step @p136 :rule process_scope :premises (@p186) :args (@t167)) % 1.32/1.59 (step @p152 :rule implies_elim :premises (@p136)) % 1.32/1.59 (step @p153 :rule cnf_and_neg :args (@t168)) % 1.32/1.59 (step @p154 :rule resolution :premises (@p153 @p152) :args (true @t168)) % 1.32/1.59 (step @p155 :rule reordering :premises (@p154) :args ((or (not @t145) (not @t147) (not @t148) (not @t149) (not @t151) (not @t153) (not @t154) (not @t155) (not @t157) (not @t159) (not @t160) (not @t161) (not @t163) (not @t165) @t167 (not @t166)))) % 1.32/1.59 (step @p156 false :rule chain_m_resolution :premises (@p155 @p85 @p80 @p79 @p75 @p74 @p70 @p69 @p65 @p64 @p63 @p62 @p58 @p57 @p53 @p49 @p45) :args (false (@list true false false false false false false false false false false false false false false false) (@list @t167 @t166 @t165 @t163 @t161 @t160 @t159 @t157 @t155 @t154 @t153 @t151 @t149 @t148 @t147 @t145))) % 1.32/1.59 ) % 1.32/1.59 % SZS output end Proof % 1.32/1.60 % cvc5 exiting %------------------------------------------------------------------------------