%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP253-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:20:19 AM UTC 2026 % Result : Unsatisfiable 15.88s 16.08s % Output : Proof 15.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP253-1 : TPTP v9.2.1. Released v2.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.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 : Tue Jun 2 00:59:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.74/15.90 --- Run --no-e-matching --full-saturate-quant at 6... % 15.88/16.08 % SZS status Unsatisfiable % 15.88/16.08 % SZS output start Proof % 15.88/16.09 ( % 15.88/16.09 (declare-sort $$unsorted 0) % 15.88/16.09 (declare-const tptp.sk_c3 $$unsorted) % 15.88/16.09 (declare-const tptp.sk_c1 $$unsorted) % 15.88/16.09 (declare-const tptp.sk_c4 $$unsorted) % 15.88/16.09 (declare-const tptp.sk_c7 $$unsorted) % 15.88/16.09 (declare-const tptp.sk_c6 $$unsorted) % 15.88/16.09 (declare-const tptp.sk_c5 $$unsorted) % 15.88/16.09 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.88/16.09 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.88/16.09 (declare-const tptp.sk_c2 $$unsorted) % 15.88/16.09 (declare-const tptp.identity $$unsorted) % 15.88/16.09 (define @t1 () (@var "X" $$unsorted)) % 15.88/16.09 (define @t2 () (tptp.multiply tptp.identity @t1)) % 15.88/16.09 (define @t3 () (@list @t1)) % 15.88/16.09 (define @t4 () (forall @t3 (= @t2 @t1))) % 15.88/16.09 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 15.88/16.09 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 15.88/16.09 (define @t7 () (@var "Z" $$unsorted)) % 15.88/16.09 (define @t8 () (@var "Y" $$unsorted)) % 15.88/16.09 (define @t9 () (tptp.multiply tptp.sk_c4 tptp.sk_c7)) % 15.88/16.09 (define @t10 () (= @t9 tptp.sk_c6)) % 15.88/16.09 (define @t11 () (tptp.multiply tptp.sk_c1 tptp.sk_c7)) % 15.88/16.09 (define @t12 () (= @t11 tptp.sk_c6)) % 15.88/16.09 (define @t13 () (or @t12 @t10)) % 15.88/16.09 (define @t14 () (tptp.inverse tptp.sk_c4)) % 15.88/16.09 (define @t15 () (= @t14 tptp.sk_c7)) % 15.88/16.09 (define @t16 () (or @t12 @t15)) % 15.88/16.09 (define @t17 () (tptp.inverse tptp.sk_c5)) % 15.88/16.09 (define @t18 () (= @t17 tptp.sk_c6)) % 15.88/16.09 (define @t19 () (or @t12 @t18)) % 15.88/16.09 (define @t20 () (tptp.inverse tptp.sk_c1)) % 15.88/16.09 (define @t21 () (= @t20 tptp.sk_c7)) % 15.88/16.09 (define @t22 () (or @t21 @t10)) % 15.88/16.09 (define @t23 () (or @t21 @t15)) % 15.88/16.09 (define @t24 () (or @t21 @t18)) % 15.88/16.09 (define @t25 () (tptp.multiply tptp.sk_c2 tptp.sk_c6)) % 15.88/16.09 (define @t26 () (= @t25 tptp.sk_c5)) % 15.88/16.09 (define @t27 () (or @t26 @t18)) % 15.88/16.09 (define @t28 () (tptp.inverse tptp.sk_c2)) % 15.88/16.09 (define @t29 () (= @t28 tptp.sk_c6)) % 15.88/16.09 (define @t30 () (or @t29 @t18)) % 15.88/16.09 (define @t31 () (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) % 15.88/16.09 (define @t32 () (= (tptp.multiply tptp.sk_c3 tptp.sk_c5) tptp.sk_c6)) % 15.88/16.09 (define @t33 () (not @t18)) % 15.88/16.09 (define @t34 () (@var "X1" $$unsorted)) % 15.88/16.09 (define @t35 () (tptp.inverse @t34)) % 15.88/16.09 (define @t36 () (not (= @t35 tptp.sk_c7))) % 15.88/16.09 (define @t37 () (tptp.multiply @t34 tptp.sk_c7)) % 15.88/16.09 (define @t38 () (not (= @t37 tptp.sk_c6))) % 15.88/16.09 (define @t39 () (@var "X4" $$unsorted)) % 15.88/16.09 (define @t40 () (tptp.multiply @t39 tptp.sk_c5)) % 15.88/16.09 (define @t41 () (not (= @t40 tptp.sk_c6))) % 15.88/16.09 (define @t42 () (tptp.inverse @t39)) % 15.88/16.09 (define @t43 () (not (= @t42 tptp.sk_c6))) % 15.88/16.09 (define @t44 () (@var "X3" $$unsorted)) % 15.88/16.09 (define @t45 () (tptp.inverse @t44)) % 15.88/16.09 (define @t46 () (not (= @t45 tptp.sk_c6))) % 15.88/16.09 (define @t47 () (tptp.multiply @t44 tptp.sk_c6)) % 15.88/16.09 (define @t48 () (not (= @t47 tptp.sk_c5))) % 15.88/16.09 (define @t49 () (@var "X2" $$unsorted)) % 15.88/16.09 (define @t50 () (tptp.inverse @t49)) % 15.88/16.09 (define @t51 () (not (= @t50 tptp.sk_c7))) % 15.88/16.09 (define @t52 () (tptp.multiply @t49 tptp.sk_c7)) % 15.88/16.09 (define @t53 () (not (= @t52 tptp.sk_c6))) % 15.88/16.09 (define @t54 () (or @t53 @t51 @t48 @t46 @t43 @t41 @t38 @t36 @t33)) % 15.88/16.09 (define @t55 () (@list @t49 @t44 @t39 @t34)) % 15.88/16.09 (define @t56 () (forall @t55 @t54)) % 15.88/16.09 (define @t57 () (= tptp.sk_c7 @t20)) % 15.88/16.09 (define @t58 () (= tptp.sk_c6 @t9)) % 15.88/16.09 (define @t59 () (= tptp.sk_c7 @t14)) % 15.88/16.09 (define @t60 () (= tptp.sk_c6 @t17)) % 15.88/16.09 (define @t61 () (not @t59)) % 15.88/16.09 (define @t62 () (not @t58)) % 15.88/16.09 (define @t63 () (or @t62 @t61)) % 15.88/16.09 (define @t64 () (not @t63)) % 15.88/16.09 (define @t65 () (not (= tptp.sk_c7 @t50))) % 15.88/16.09 (define @t66 () (not (= tptp.sk_c6 @t52))) % 15.88/16.09 (define @t67 () (or @t66 @t65)) % 15.88/16.09 (define @t68 () (forall (@list @t49) @t67)) % 15.88/16.09 (define @t69 () (@quantifiers_skolemize @t68 0)) % 15.88/16.09 (define @t70 () (tptp.inverse @t69)) % 15.88/16.09 (define @t71 () (= tptp.sk_c7 @t70)) % 15.88/16.09 (define @t72 () (not @t71)) % 15.88/16.09 (define @t73 () (tptp.multiply @t69 tptp.sk_c7)) % 15.88/16.09 (define @t74 () (= tptp.sk_c6 @t73)) % 15.88/16.09 (define @t75 () (not @t74)) % 15.88/16.09 (define @t76 () (or @t75 @t72)) % 15.88/16.09 (define @t77 () (not @t76)) % 15.88/16.09 (define @t78 () (not @t68)) % 15.88/16.09 (define @t79 () (@list tptp.identity)) % 15.88/16.09 (define @t80 () (@list tptp.sk_c7)) % 15.88/16.09 (define @t81 () (@list tptp.sk_c5)) % 15.88/16.09 (define @t82 () (@list @t69)) % 15.88/16.09 (define @t83 () (tptp.inverse tptp.sk_c7)) % 15.88/16.09 (define @t84 () (tptp.multiply tptp.identity tptp.identity)) % 15.88/16.09 (define @t85 () (= tptp.identity @t84)) % 15.88/16.09 (define @t86 () (tptp.multiply tptp.identity tptp.sk_c7)) % 15.88/16.09 (define @t87 () (= tptp.sk_c7 @t86)) % 15.88/16.09 (define @t88 () (tptp.multiply @t83 tptp.sk_c7)) % 15.88/16.09 (define @t89 () (= tptp.identity @t88)) % 15.88/16.09 (define @t90 () (tptp.multiply tptp.identity tptp.sk_c6)) % 15.88/16.09 (define @t91 () (= tptp.sk_c6 @t90)) % 15.88/16.09 (define @t92 () (tptp.multiply tptp.identity tptp.sk_c5)) % 15.88/16.09 (define @t93 () (= tptp.sk_c5 @t92)) % 15.88/16.09 (define @t94 () (tptp.multiply @t17 tptp.sk_c5)) % 15.88/16.09 (define @t95 () (= tptp.identity @t94)) % 15.88/16.09 (define @t96 () (tptp.multiply tptp.identity @t69)) % 15.88/16.09 (define @t97 () (= @t69 @t96)) % 15.88/16.09 (define @t98 () (tptp.multiply @t70 @t69)) % 15.88/16.09 (define @t99 () (= tptp.identity @t98)) % 15.88/16.09 (define @t100 () (tptp.multiply tptp.sk_c7 @t69)) % 15.88/16.09 (define @t101 () (tptp.multiply @t83 @t100)) % 15.88/16.09 (define @t102 () (tptp.multiply @t88 @t69)) % 15.88/16.09 (define @t103 () (= @t102 @t101)) % 15.88/16.09 (define @t104 () (tptp.multiply @t83 @t86)) % 15.88/16.09 (define @t105 () (tptp.multiply @t83 tptp.identity)) % 15.88/16.09 (define @t106 () (tptp.multiply @t105 tptp.sk_c7)) % 15.88/16.09 (define @t107 () (= @t106 @t104)) % 15.88/16.09 (define @t108 () (tptp.multiply @t84 @t69)) % 15.88/16.09 (define @t109 () (tptp.multiply tptp.identity @t96)) % 15.88/16.09 (define @t110 () (tptp.multiply tptp.identity @t92)) % 15.88/16.09 (define @t111 () (tptp.multiply @t84 tptp.sk_c5)) % 15.88/16.09 (define @t112 () (= tptp.sk_c5 @t90)) % 15.88/16.09 (define @t113 () (and @t60 @t74 @t71 @t85 @t87 @t89 @t91 @t93 @t95 @t97 @t99 @t103 @t107)) % 15.88/16.09 (define @t114 () (tptp.inverse tptp.identity)) % 15.88/16.09 (define @t115 () (= tptp.sk_c6 @t114)) % 15.88/16.09 (define @t116 () (and @t60 @t74 @t71 @t85 @t87 @t89 @t93 @t95 @t97 @t99 @t103 @t107)) % 15.88/16.09 (define @t117 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c5))) % 15.88/16.09 (define @t118 () (not @t115)) % 15.88/16.09 (define @t119 () (not @t112)) % 15.88/16.09 (define @t120 () (or @t119 @t118)) % 15.88/16.09 (define @t121 () (not @t120)) % 15.88/16.09 (define @t122 () (not @t117)) % 15.88/16.09 (define @t123 () (not @t60)) % 15.88/16.09 (define @t124 () (or @t123 @t122)) % 15.88/16.09 (define @t125 () (not @t124)) % 15.88/16.09 (define @t126 () (not (= tptp.sk_c6 @t45))) % 15.88/16.09 (define @t127 () (not (= tptp.sk_c5 @t47))) % 15.88/16.09 (define @t128 () (or @t127 @t126)) % 15.88/16.09 (define @t129 () (forall (@list @t44) @t128)) % 15.88/16.09 (define @t130 () (not (= tptp.sk_c6 @t40))) % 15.88/16.09 (define @t131 () (not (= tptp.sk_c6 @t42))) % 15.88/16.09 (define @t132 () (or @t131 @t130)) % 15.88/16.09 (define @t133 () (forall (@list @t39) @t132)) % 15.88/16.09 (define @t134 () (not (= tptp.sk_c7 @t35))) % 15.88/16.09 (define @t135 () (not (= tptp.sk_c6 @t37))) % 15.88/16.09 (define @t136 () (or @t135 @t134)) % 15.88/16.09 (define @t137 () (forall (@list @t34) @t136)) % 15.88/16.09 (define @t138 () (or @t123 @t67 @t128 @t132 @t136)) % 15.88/16.09 (define @t139 () (or @t66 @t65 @t127 @t126 @t131 @t130 @t135 @t134 @t123)) % 15.88/16.09 (define @t140 () (not @t57)) % 15.88/16.09 (define @t141 () (= tptp.sk_c6 @t11)) % 15.88/16.09 (define @t142 () (not @t141)) % 15.88/16.09 (define @t143 () (or @t142 @t140)) % 15.88/16.09 (define @t144 () (@list tptp.sk_c1)) % 15.88/16.09 (define @t145 () (tptp.multiply tptp.identity tptp.sk_c1)) % 15.88/16.09 (define @t146 () (= tptp.sk_c1 @t145)) % 15.88/16.09 (define @t147 () (tptp.multiply @t20 tptp.sk_c1)) % 15.88/16.09 (define @t148 () (= tptp.identity @t147)) % 15.88/16.09 (define @t149 () (tptp.multiply tptp.sk_c7 tptp.sk_c1)) % 15.88/16.09 (define @t150 () (tptp.multiply @t83 @t149)) % 15.88/16.09 (define @t151 () (tptp.multiply @t88 tptp.sk_c1)) % 15.88/16.09 (define @t152 () (= @t151 @t150)) % 15.88/16.09 (define @t153 () (tptp.multiply tptp.identity @t145)) % 15.88/16.09 (define @t154 () (tptp.multiply @t84 tptp.sk_c1)) % 15.88/16.09 (define @t155 () (and @t141 @t60 @t57 @t85 @t146 @t148 @t87 @t89 @t93 @t95 @t152 @t107)) % 15.88/16.09 (define @t156 () (not @t107)) % 15.88/16.09 (define @t157 () (not @t152)) % 15.88/16.09 (define @t158 () (not @t95)) % 15.88/16.09 (define @t159 () (not @t93)) % 15.88/16.09 (define @t160 () (not @t89)) % 15.88/16.09 (define @t161 () (not @t87)) % 15.88/16.09 (define @t162 () (not @t148)) % 15.88/16.09 (define @t163 () (not @t146)) % 15.88/16.09 (define @t164 () (not @t85)) % 15.88/16.09 (define @t165 () (and @t141 @t60 @t57 @t85 @t146 @t148 @t87 @t89 @t91 @t93 @t95 @t152 @t107)) % 15.88/16.09 (define @t166 () (= tptp.sk_c5 @t25)) % 15.88/16.09 (define @t167 () (= tptp.sk_c6 @t28)) % 15.88/16.09 (define @t168 () (@list tptp.sk_c2)) % 15.88/16.09 (define @t169 () (tptp.multiply tptp.identity tptp.sk_c2)) % 15.88/16.09 (define @t170 () (= tptp.sk_c2 @t169)) % 15.88/16.09 (define @t171 () (tptp.multiply @t28 tptp.sk_c2)) % 15.88/16.09 (define @t172 () (= tptp.identity @t171)) % 15.88/16.09 (define @t173 () (and @t141 @t57 @t166 @t167 @t85 @t146 @t148 @t87 @t89 @t170 @t172 @t152 @t107)) % 15.88/16.09 (define @t174 () (@list true)) % 15.88/16.09 (define @t175 () (@list @t141)) % 15.88/16.09 (define @t176 () (@list false false)) % 15.88/16.09 (define @t177 () (@list @t68)) % 15.88/16.09 (define @t178 () (@list @t76)) % 15.88/16.09 (define @t179 () (@list false false false false false false false false false false false false)) % 15.88/16.09 (define @t180 () (@list @t60 @t74 @t71 @t85 @t87 @t89 @t93 @t95 @t97 @t99 @t103 @t107)) % 15.88/16.09 (assume @p1 @t4) % 15.88/16.09 (assume @p2 @t6) % 15.88/16.09 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 15.88/16.09 (assume @p4 @t13) % 15.88/16.09 (assume @p5 @t16) % 15.88/16.09 (assume @p6 @t19) % 15.88/16.09 (assume @p7 @t22) % 15.88/16.09 (assume @p8 @t23) % 15.88/16.09 (assume @p9 @t24) % 15.88/16.09 (assume @p10 (or @t26 @t10)) % 15.88/16.09 (assume @p11 (or @t26 @t15)) % 15.88/16.09 (assume @p12 @t27) % 15.88/16.09 (assume @p13 (or @t29 @t10)) % 15.88/16.09 (assume @p14 (or @t29 @t15)) % 15.88/16.09 (assume @p15 @t30) % 15.88/16.09 (assume @p16 (or @t31 @t10)) % 15.88/16.09 (assume @p17 (or @t31 @t15)) % 15.88/16.09 (assume @p18 (or @t31 @t18)) % 15.88/16.09 (assume @p19 (or @t32 @t10)) % 15.88/16.09 (assume @p20 (or @t32 @t15)) % 15.88/16.09 (assume @p21 (or @t32 @t18)) % 15.88/16.09 (assume @p22 @t56) % 15.88/16.09 (step @p23 :rule eq-symm :args (@t9 tptp.sk_c6)) % 15.88/16.09 (step @p24 :rule eq-symm :args (@t20 tptp.sk_c7)) % 15.88/16.09 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t22)) % 15.88/16.09 (step @p26 :rule eq_resolve :premises (@p7 @p25)) % 15.88/16.09 (step @p27 :rule reordering :premises (@p26) :args ((or @t58 @t57))) % 15.88/16.09 (step @p28 :rule eq-symm :args (@t14 tptp.sk_c7)) % 15.88/16.09 (step @p29 :rule nary_cong :premises (@p24 @p28) :args (@t23)) % 15.88/16.09 (step @p30 :rule eq_resolve :premises (@p8 @p29)) % 15.88/16.09 (step @p31 :rule reordering :premises (@p30) :args ((or @t59 @t57))) % 15.88/16.09 (step @p32 :rule eq-symm :args (@t17 tptp.sk_c6)) % 15.88/16.09 (step @p33 :rule nary_cong :premises (@p24 @p32) :args (@t24)) % 15.88/16.09 (step @p34 :rule eq_resolve :premises (@p9 @p33)) % 15.88/16.09 (step @p35 :rule reordering :premises (@p34) :args ((or @t60 @t57))) % 15.88/16.09 (step @p36 :rule cnf_or_pos :args (@t63)) % 15.88/16.09 (step @p37 :rule reordering :premises (@p36) :args ((or @t62 @t61 @t64))) % 15.88/16.09 (assume-push @p692 @t68) % 15.88/16.09 (step @p39 :rule instantiate :premises (@p692) :args ((@list tptp.sk_c4))) % 15.88/16.09 (step-pop @p693 :rule scope :premises (@p39)) % 15.88/16.09 (step @p40 :rule process_scope :premises (@p693) :args (@t63)) % 15.88/16.09 (step @p42 :rule implies_elim :premises (@p40)) % 15.88/16.09 (step @p43 :rule alpha_equiv :args (@t68 (@list @t49) (@list @t34))) % 15.88/16.09 (step @p44 :rule equiv_elim2 :premises (@p43)) % 15.88/16.09 (step @p45 :rule refl :args (@t77)) % 15.88/16.09 (step @p46 :rule bool-double-not-elim :args (@t68)) % 15.88/16.09 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or (not @t78) @t77))) % 15.88/16.09 (assume-push @p694 @t78) % 15.88/16.09 (step @p49 :rule skolemize :premises (@p694)) % 15.88/16.09 (step-pop @p695 :rule scope :premises (@p49)) % 15.88/16.09 (step @p50 :rule process_scope :premises (@p695) :args (@t77)) % 15.88/16.09 (step @p52 :rule implies_elim :premises (@p50)) % 15.88/16.09 (step @p53 :rule eq_resolve :premises (@p52 @p47)) % 15.88/16.09 (step @p54 :rule bool-double-not-elim :args (@t74)) % 15.88/16.09 (step @p55 :rule refl :args (@t76)) % 15.88/16.09 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t76 (not @t75)))) % 15.88/16.09 (step @p57 :rule cnf_or_neg :args (@t76 0)) % 15.88/16.09 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 15.88/16.09 (step @p59 :rule reordering :premises (@p58) :args ((or @t74 @t76))) % 15.88/16.09 (step @p60 :rule bool-double-not-elim :args (@t71)) % 15.88/16.09 (step @p61 :rule nary_cong :premises (@p55 @p60) :args ((or @t76 (not @t72)))) % 15.88/16.09 (step @p62 :rule cnf_or_neg :args (@t76 1)) % 15.88/16.09 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 15.88/16.09 (step @p64 :rule reordering :premises (@p63) :args ((or @t71 @t76))) % 15.88/16.09 (step @p65 :rule eq-symm :args (@t2 @t1)) % 15.88/16.09 (step @p66 :rule cong :premises (@p65) :args (@t4)) % 15.88/16.09 (step @p67 :rule eq_resolve :premises (@p1 @p66)) % 15.88/16.09 (step @p68 :rule instantiate :premises (@p67) :args (@t79)) % 15.88/16.09 (step @p69 :rule instantiate :premises (@p67) :args (@t80)) % 15.88/16.09 (step @p70 :rule eq-symm :args (@t5 tptp.identity)) % 15.88/16.09 (step @p71 :rule cong :premises (@p70) :args 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15.88/16.09 (assume-push @p955 @t148) % 15.88/16.09 (assume-push @p956 @t87) % 15.88/16.09 (assume-push @p957 @t89) % 15.88/16.09 (assume-push @p958 @t93) % 15.88/16.09 (assume-push @p959 @t95) % 15.88/16.09 (assume-push @p960 @t152) % 15.88/16.09 (assume-push @p961 @t107) % 15.88/16.09 (assume-push @p962 @t95) % 15.88/16.09 (assume-push @p963 @t60) % 15.88/16.09 (assume-push @p964 @t141) % 15.88/16.09 (assume-push @p965 @t146) % 15.88/16.09 (assume-push @p966 @t85) % 15.88/16.09 (assume-push @p967 @t89) % 15.88/16.09 (assume-push @p968 @t152) % 15.88/16.09 (assume-push @p969 @t57) % 15.88/16.09 (assume-push @p970 @t148) % 15.88/16.09 (assume-push @p971 @t107) % 15.88/16.09 (assume-push @p972 @t87) % 15.88/16.09 (assume-push @p973 @t93) % 15.88/16.09 (step @p126 :rule symm :premises (@p76)) % 15.88/16.09 (step @p127 :rule symm :premises (@p75)) % 15.88/16.09 (step @p528 :rule symm :premises (@p950)) % 15.88/16.09 (step @p108 :rule refl :args (tptp.sk_c7)) % 15.88/16.09 (step @p386 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symm :premises (@p80)) % 15.88/16.09 (step @p125 :rule cong :premises (@p120 @p69) :args (@t88)) % 15.88/16.09 (step @p535 :rule trans :premises (@p73 @p125 @p124 @p534 @p528 @p951)) % 15.88/16.09 (step @p536 :rule cong :premises (@p535 @p127) :args (@t110)) % 15.88/16.09 (step @p130 :rule cong :premises (@p111 @p75) :args (@t111)) % 15.88/16.09 (step @p131 :rule refl :args (tptp.sk_c5)) % 15.88/16.09 (step @p132 :rule cong :premises (@p68 @p131) :args (@t92)) % 15.88/16.09 (step @p537 :rule trans :premises (@p75 @p132 @p130 @p536 @p126)) % 15.88/16.09 (step @p538 :rule cong :premises (@p537) :args (@t17)) % 15.88/16.09 (step @p539 :rule trans :premises (@p951 @p538)) % 15.88/16.09 (step-pop @p974 :rule scope :premises (@p539)) % 15.88/16.09 (step-pop @p975 :rule scope :premises (@p974)) % 15.88/16.09 (step-pop @p976 :rule scope :premises (@p975)) % 15.88/16.09 (step-pop @p977 :rule scope :premises (@p976)) % 15.88/16.09 (step-pop @p978 :rule scope :premises (@p977)) % 15.88/16.09 (step-pop @p979 :rule scope :premises (@p978)) % 15.88/16.09 (step-pop @p980 :rule scope :premises (@p979)) % 15.88/16.09 (step-pop @p981 :rule scope :premises (@p980)) % 15.88/16.09 (step-pop @p982 :rule scope :premises (@p981)) % 15.88/16.09 (step-pop @p983 :rule scope :premises (@p982)) % 15.88/16.09 (step-pop @p984 :rule scope :premises (@p983)) % 15.88/16.09 (step-pop @p985 :rule scope :premises (@p984)) % 15.88/16.09 (step @p540 :rule process_scope :premises (@p985) :args (@t115)) % 15.88/16.09 (step @p553 :rule and_intro :premises (@p76 @p951 @p950 @p354 @p68 @p73 @p356 @p952 @p355 @p80 @p69 @p75)) % 15.88/16.09 (step @p554 :rule modus_ponens :premises (@p553 @p540)) % 15.88/16.09 (step-pop @p986 :rule scope :premises (@p554)) % 15.88/16.09 (step-pop @p987 :rule scope :premises (@p986)) % 15.88/16.09 (step-pop @p988 :rule scope :premises (@p987)) % 15.88/16.09 (step-pop @p989 :rule scope :premises (@p988)) % 15.88/16.09 (step-pop @p990 :rule scope :premises (@p989)) % 15.88/16.09 (step-pop @p991 :rule scope :premises (@p990)) % 15.88/16.09 (step-pop @p992 :rule scope :premises (@p991)) % 15.88/16.09 (step-pop @p993 :rule scope :premises (@p992)) % 15.88/16.09 (step-pop @p994 :rule scope :premises (@p993)) % 15.88/16.09 (step-pop @p995 :rule scope :premises (@p994)) % 15.88/16.09 (step-pop @p996 :rule scope :premises (@p995)) % 15.88/16.09 (step-pop @p997 :rule scope :premises (@p996)) % 15.88/16.09 (step @p555 :rule process_scope :premises (@p997) :args (@t115)) % 15.88/16.09 (step @p568 :rule implies_elim :premises (@p555)) % 15.88/16.09 (step @p569 :rule resolution :premises (@p427 @p568) :args (true @t155)) % 15.88/16.09 (step @p570 :rule reordering :premises (@p569) :args ((or @t123 @t142 @t140 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t156 @t115))) % 15.88/16.09 (step @p571 :rule chain_m_resolution :premises (@p315 @p308 @p570 @p80 @p356 @p76 @p75 @p73 @p69 @p355 @p354 @p68 @p503 @p80 @p356 @p76 @p75 @p74 @p73 @p69 @p355 @p354 @p68 @p345 @p320 @p310 @p429 @p80 @p356 @p76 @p75 @p73 @p69 @p355 @p354 @p68 @p44 @p353 @p348) :args ((or @t123 @t142 @t140) (@list true false false false false false false false false false false false false false false false false false false false false false false true true false false false false false false false false false false true true true) (@list @t120 @t115 @t107 @t152 @t95 @t93 @t89 @t87 @t148 @t146 @t85 @t112 @t107 @t152 @t95 @t93 @t91 @t89 @t87 @t148 @t146 @t85 @t129 @t133 @t124 @t117 @t107 @t152 @t95 @t93 @t89 @t87 @t148 @t146 @t85 @t137 @t68 @t143))) % 15.88/16.09 (step @p572 :rule eq-symm :args (@t25 tptp.sk_c5)) % 15.88/16.09 (step @p573 :rule nary_cong :premises (@p572 @p32) :args (@t27)) % 15.88/16.09 (step @p574 :rule eq_resolve :premises (@p12 @p573)) % 15.88/16.09 (step @p575 :rule reordering :premises (@p574) :args ((or @t60 @t166))) % 15.88/16.09 (step @p576 :rule eq-symm :args (@t28 tptp.sk_c6)) % 15.88/16.09 (step @p577 :rule nary_cong :premises (@p576 @p32) :args (@t30)) % 15.88/16.09 (step @p578 :rule eq_resolve :premises (@p15 @p577)) % 15.88/16.09 (step @p579 :rule reordering :premises (@p578) :args ((or @t60 @t167))) % 15.88/16.09 (step @p580 :rule instantiate :premises (@p67) :args (@t168)) % 15.88/16.09 (step @p581 :rule instantiate :premises (@p72) :args (@t168)) % 15.88/16.09 (assume-push @p998 @t141) % 15.88/16.09 (assume-push @p999 @t57) % 15.88/16.09 (assume-push @p1000 @t166) % 15.88/16.09 (assume-push @p1001 @t167) % 15.88/16.09 (assume-push @p1002 @t85) % 15.88/16.09 (assume-push @p1003 @t146) % 15.88/16.09 (assume-push @p1004 @t148) % 15.88/16.09 (assume-push @p1005 @t87) % 15.88/16.09 (assume-push @p1006 @t89) % 15.88/16.09 (assume-push @p1007 @t170) % 15.88/16.09 (assume-push @p1008 @t172) % 15.88/16.09 (assume-push @p1009 @t152) % 15.88/16.09 (assume-push @p1010 @t107) % 15.88/16.09 (assume-push @p1011 @t166) % 15.88/16.09 (assume-push @p1012 @t170) % 15.88/16.09 (assume-push @p1013 @t85) % 15.88/16.09 (assume-push @p1014 @t89) % 15.88/16.09 (assume-push @p1015 @t87) % 15.88/16.09 (assume-push @p1016 @t107) % 15.88/16.09 (assume-push @p1017 @t148) % 15.88/16.09 (assume-push @p1018 @t57) % 15.88/16.09 (assume-push @p1019 @t152) % 15.88/16.09 (assume-push @p1020 @t146) % 15.88/16.09 (assume-push @p1021 @t141) % 15.88/16.09 (assume-push @p1022 @t167) % 15.88/16.09 (assume-push @p1023 @t172) % 15.88/16.09 (step @p608 :rule symm :premises (@p1000)) % 15.88/16.09 (step @p609 :rule symm :premises (@p998)) % 15.88/16.09 (step @p108 :rule refl :args (tptp.sk_c7)) % 15.88/16.09 (step @p386 :rule symm :premises (@p354)) % 15.88/16.09 (step @p382 :rule refl :args (tptp.sk_c1)) % 15.88/16.09 (step @p111 :rule symm :premises (@p68)) % 15.88/16.09 (step @p457 :rule cong :premises (@p111 @p382) :args (@t154)) % 15.88/16.09 (step @p458 :rule cong :premises (@p68 @p386) :args (@t153)) % 15.88/16.09 (step @p114 :rule symm :premises (@p73)) % 15.88/16.09 (step @p459 :rule cong :premises (@p114 @p354) :args (@t151)) % 15.88/16.09 (step @p460 :rule symm :premises (@p356)) % 15.88/16.09 (step @p610 :rule symm :premises (@p999)) % 15.88/16.09 (step @p611 :rule cong :premises (@p610 @p382) :args (@t147)) % 15.88/16.09 (step @p612 :rule trans :premises (@p355 @p611)) % 15.88/16.09 (step @p120 :rule refl :args (@t83)) % 15.88/16.09 (step @p613 :rule cong :premises (@p120 @p612) :args (@t105)) % 15.88/16.09 (step @p614 :rule trans :premises (@p613 @p460 @p459 @p458 @p457 @p386)) % 15.88/16.09 (step @p615 :rule cong :premises (@p614 @p108) :args (@t106)) % 15.88/16.09 (step @p124 :rule symm :premises (@p80)) % 15.88/16.09 (step @p125 :rule cong :premises (@p120 @p69) :args (@t88)) % 15.88/16.09 (step @p616 :rule trans :premises (@p73 @p125 @p124 @p615 @p609)) % 15.88/16.09 (step @p617 :rule symm :premises (@p580)) % 15.88/16.09 (step @p618 :rule refl :args (tptp.sk_c2)) % 15.88/16.09 (step @p619 :rule cong :premises (@p111 @p618) :args ((tptp.multiply @t84 tptp.sk_c2))) % 15.88/16.09 (step @p620 :rule cong :premises (@p68 @p617) :args ((tptp.multiply tptp.identity @t169))) % 15.88/16.09 (step @p260 :rule symm :premises (@p69)) % 15.88/16.09 (step @p261 :rule cong :premises (@p120 @p260) :args (@t104)) % 15.88/16.09 (step @p621 :rule symm :premises (@p615)) % 15.88/16.09 (step @p622 :rule symm :premises (@p1001)) % 15.88/16.09 (step @p623 :rule trans :premises (@p622 @p998 @p621 @p80 @p261 @p114)) % 15.88/16.09 (step @p624 :rule cong :premises (@p623 @p580) :args (@t171)) % 15.88/16.09 (step @p625 :rule trans :premises (@p581 @p624 @p620 @p619 @p617)) % 15.88/16.09 (step @p626 :rule cong :premises (@p625 @p616) :args (@t84)) % 15.88/16.09 (step @p627 :rule trans :premises (@p68 @p626 @p608)) % 15.88/16.09 (step @p628 :rule cong :premises (@p627) :args (@t114)) % 15.88/16.09 (step @p629 :rule symm :premises (@p625)) % 15.88/16.09 (step @p630 :rule cong :premises (@p629) :args (@t28)) % 15.88/16.09 (step @p631 :rule trans :premises (@p1001 @p630 @p628)) % 15.88/16.09 (step-pop @p1024 :rule scope :premises (@p631)) % 15.88/16.09 (step-pop @p1025 :rule scope :premises (@p1024)) % 15.88/16.09 (step-pop @p1026 :rule scope :premises (@p1025)) % 15.88/16.09 (step-pop @p1027 :rule scope :premises (@p1026)) % 15.88/16.09 (step-pop @p1028 :rule scope :premises (@p1027)) % 15.88/16.09 (step-pop @p1029 :rule scope :premises (@p1028)) % 15.88/16.09 (step-pop @p1030 :rule scope :premises (@p1029)) % 15.88/16.09 (step-pop @p1031 :rule scope :premises (@p1030)) % 15.88/16.09 (step-pop @p1032 :rule scope :premises (@p1031)) % 15.88/16.09 (step-pop @p1033 :rule scope :premises (@p1032)) % 15.88/16.09 (step-pop @p1034 :rule scope :premises (@p1033)) % 15.88/16.09 (step-pop @p1035 :rule scope :premises (@p1034)) % 15.88/16.09 (step-pop @p1036 :rule scope :premises (@p1035)) % 15.88/16.09 (step @p632 :rule process_scope :premises (@p1036) :args (@t60)) % 15.88/16.10 (step @p646 :rule and_intro :premises (@p1000 @p580 @p68 @p73 @p69 @p80 @p355 @p999 @p356 @p354 @p998 @p1001 @p581)) % 15.88/16.10 (step @p647 :rule modus_ponens :premises (@p646 @p632)) % 15.88/16.10 (step-pop @p1037 :rule scope :premises (@p647)) % 15.88/16.10 (step-pop @p1038 :rule scope :premises (@p1037)) % 15.88/16.10 (step-pop @p1039 :rule scope :premises (@p1038)) % 15.88/16.10 (step-pop @p1040 :rule scope :premises (@p1039)) % 15.88/16.10 (step-pop @p1041 :rule scope :premises (@p1040)) % 15.88/16.10 (step-pop @p1042 :rule scope :premises (@p1041)) % 15.88/16.10 (step-pop @p1043 :rule scope :premises (@p1042)) % 15.88/16.10 (step-pop @p1044 :rule scope :premises (@p1043)) % 15.88/16.10 (step-pop @p1045 :rule scope :premises (@p1044)) % 15.88/16.10 (step-pop @p1046 :rule scope :premises (@p1045)) % 15.88/16.10 (step-pop @p1047 :rule scope :premises (@p1046)) % 15.88/16.10 (step-pop @p1048 :rule scope :premises (@p1047)) % 15.88/16.10 (step-pop @p1049 :rule scope :premises (@p1048)) % 15.88/16.10 (step @p648 :rule process_scope :premises (@p1049) :args (@t60)) % 15.88/16.10 (step @p662 :rule implies_elim :premises (@p648)) % 15.88/16.10 (step @p663 :rule cnf_and_neg :args (@t173)) % 15.88/16.10 (step @p664 :rule resolution :premises (@p663 @p662) :args (true @t173)) % 15.88/16.10 (step @p665 :rule reordering :premises (@p664) :args ((or @t60 @t142 @t140 (not @t166) (not @t167) @t164 @t163 @t162 @t161 @t160 (not @t170) (not @t172) @t157 @t156))) % 15.88/16.10 (step @p666 :rule chain_m_resolution :premises (@p665 @p80 @p356 @p581 @p580 @p73 @p69 @p355 @p354 @p68 @p579 @p575 @p571) :args (@t143 (@list false false false false false false false false false false false true) (@list @t107 @t152 @t172 @t170 @t89 @t87 @t148 @t146 @t85 @t167 @t166 @t60))) % 15.88/16.10 (step @p667 :rule chain_m_resolution :premises (@p666 @p346) :args (@t142 (@list false) (@list @t57))) % 15.88/16.10 (step @p668 :rule eq-symm :args (@t11 tptp.sk_c6)) % 15.88/16.10 (step @p669 :rule nary_cong :premises (@p668 @p28) :args (@t16)) % 15.88/16.10 (step @p670 :rule eq_resolve :premises (@p5 @p669)) % 15.88/16.10 (step @p671 :rule chain_m_resolution :premises (@p670 @p667) :args (@t59 @t174 @t175)) % 15.88/16.10 (step @p672 :rule nary_cong :premises (@p668 @p23) :args (@t13)) % 15.88/16.10 (step @p673 :rule eq_resolve :premises (@p4 @p672)) % 15.88/16.10 (step @p674 :rule chain_m_resolution :premises (@p673 @p667) :args (@t58 @t174 @t175)) % 15.88/16.10 (step @p675 :rule chain_m_resolution :premises (@p37 @p674 @p671) :args (@t64 @t176 (@list @t58 @t59))) % 15.88/16.10 (step @p676 :rule chain_m_resolution :premises (@p42 @p675) :args (@t78 @t174 (@list @t63))) % 15.88/16.10 (step @p677 :rule chain_m_resolution :premises (@p44 @p676) :args ((not @t137) @t174 @t177)) % 15.88/16.10 (step @p678 :rule nary_cong :premises (@p668 @p32) :args (@t19)) % 15.88/16.10 (step @p679 :rule eq_resolve :premises (@p6 @p678)) % 15.88/16.10 (step @p680 :rule chain_m_resolution :premises (@p679 @p667) :args (@t60 @t174 @t175)) % 15.88/16.10 (step @p681 :rule chain_m_resolution :premises (@p53 @p676) :args (@t77 @t174 @t177)) % 15.88/16.10 (step @p682 :rule chain_m_resolution :premises (@p64 @p681) :args (@t71 @t174 @t178)) % 15.88/16.10 (step @p683 :rule chain_m_resolution :premises (@p59 @p681) :args (@t74 @t174 @t178)) % 15.88/16.10 (step @p684 :rule chain_m_resolution :premises (@p306 @p680 @p683 @p682 @p68 @p69 @p73 @p75 @p76 @p77 @p78 @p79 @p80) :args (@t117 @t179 @t180)) % 15.88/16.10 (step @p685 :rule chain_m_resolution :premises (@p310 @p680 @p684) :args (@t125 @t176 (@list @t60 @t117))) % 15.88/16.10 (step @p686 :rule chain_m_resolution :premises (@p320 @p685) :args ((not @t133) @t174 (@list @t124))) % 15.88/16.10 (step @p687 :rule chain_m_resolution :premises (@p233 @p680 @p683 @p682 @p68 @p69 @p73 @p75 @p76 @p77 @p78 @p79 @p80) :args (@t115 @t179 @t180)) % 15.88/16.10 (step @p688 :rule chain_m_resolution :premises (@p166 @p680 @p683 @p682 @p68 @p69 @p73 @p74 @p75 @p76 @p77 @p78 @p79 @p80) :args (@t112 (@list false false false false false false false false false false false false false) (@list @t60 @t74 @t71 @t85 @t87 @t89 @t91 @t93 @t95 @t97 @t99 @t103 @t107))) % 15.88/16.10 (step @p689 :rule chain_m_resolution :premises (@p308 @p688 @p687) :args (@t121 @t176 (@list @t112 @t115))) % 15.88/16.10 (step @p690 :rule chain_m_resolution :premises (@p315 @p689) :args ((not @t129) @t174 (@list @t120))) % 15.88/16.10 (step @p691 false :rule chain_m_resolution :premises (@p345 @p690 @p686 @p676 @p680 @p677) :args (false (@list true true true false true) (@list @t129 @t133 @t68 @t60 @t137))) % 15.88/16.10 ) % 15.88/16.10 % SZS output end Proof % 15.88/16.10 % cvc5 exiting %------------------------------------------------------------------------------