%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO607+1 : TPTP v9.2.1. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 09:13:13 AM UTC 2026 % Result : Theorem 0.62s 0.89s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO607+1 : TPTP v9.2.1. Released v7.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 00:28:38 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.62/0.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.62/0.89 % SZS status Theorem % 0.62/0.89 % SZS output start Proof % 0.62/0.89 ( % 0.62/0.89 (declare-sort $$unsorted 0) % 0.62/0.89 (declare-const tptp.a $$unsorted) % 0.62/0.89 (declare-const tptp.g_false (-> $$unsorted $$unsorted Bool)) % 0.62/0.89 (declare-const tptp.g_both (-> $$unsorted $$unsorted Bool)) % 0.62/0.89 (declare-const tptp.g_false_only (-> $$unsorted $$unsorted Bool)) % 0.62/0.89 (declare-const tptp.g_true (-> $$unsorted $$unsorted Bool)) % 0.62/0.89 (declare-const tptp.g_true_only (-> $$unsorted $$unsorted Bool)) % 0.62/0.89 (define @t1 () (@var "B" $$unsorted)) % 0.62/0.89 (define @t2 () (@var "A" $$unsorted)) % 0.62/0.89 (define @t3 () (@list @t1)) % 0.62/0.89 (define @t4 () (forall @t3 (tptp.g_true_only @t2 @t1))) % 0.62/0.89 (define @t5 () (@list @t2)) % 0.62/0.89 (define @t6 () (exists @t5 @t4)) % 0.62/0.89 (define @t7 () (not @t6)) % 0.62/0.89 (define @t8 () (tptp.g_false_only @t2 @t1)) % 0.62/0.89 (define @t9 () (exists @t3 @t8)) % 0.62/0.89 (define @t10 () (not @t9)) % 0.62/0.89 (define @t11 () (tptp.g_both @t2 @t1)) % 0.62/0.89 (define @t12 () (exists @t3 @t11)) % 0.62/0.89 (define @t13 () (and @t12 @t10)) % 0.62/0.89 (define @t14 () (exists @t5 @t13)) % 0.62/0.89 (define @t15 () (tptp.g_false_only tptp.a @t2)) % 0.62/0.89 (define @t16 () (and @t15 @t9)) % 0.62/0.89 (define @t17 () (exists @t5 @t16)) % 0.62/0.89 (define @t18 () (not @t17)) % 0.62/0.89 (define @t19 () (not @t4)) % 0.62/0.89 (define @t20 () (tptp.g_true_only tptp.a @t2)) % 0.62/0.89 (define @t21 () (not @t20)) % 0.62/0.89 (define @t22 () (tptp.g_both tptp.a @t2)) % 0.62/0.89 (define @t23 () (or @t22 @t13)) % 0.62/0.89 (define @t24 () (and @t23 @t21 @t19)) % 0.62/0.89 (define @t25 () (exists @t5 @t24)) % 0.62/0.89 (define @t26 () (and @t25 @t18 @t14 @t7)) % 0.62/0.89 (define @t27 () (or @t17 @t6 @t26)) % 0.62/0.89 (define @t28 () (not @t27)) % 0.62/0.89 (define @t29 () (@var "X_1" $$unsorted)) % 0.62/0.89 (define @t30 () (@var "X_2" $$unsorted)) % 0.62/0.89 (define @t31 () (tptp.g_false @t30 @t29)) % 0.62/0.89 (define @t32 () (tptp.g_true @t30 @t29)) % 0.62/0.89 (define @t33 () (tptp.g_true_only @t30 @t29)) % 0.62/0.89 (define @t34 () (@list @t30 @t29)) % 0.62/0.89 (define @t35 () (tptp.g_both @t30 @t29)) % 0.62/0.89 (define @t36 () (tptp.g_false_only @t30 @t29)) % 0.62/0.89 (define @t37 () (@quantifiers_skolemize (forall @t3 (tptp.g_true_only tptp.a @t1)) 0)) % 0.62/0.89 (define @t38 () (@list tptp.a @t37)) % 0.62/0.89 (define @t39 () (forall @t5 @t19)) % 0.62/0.89 (define @t40 () (not @t39)) % 0.62/0.89 (define @t41 () (forall @t3 (not @t8))) % 0.62/0.89 (define @t42 () (not @t41)) % 0.62/0.89 (define @t43 () (@var "BOUND_VARIABLE_7521" $$unsorted)) % 0.62/0.89 (define @t44 () (not (tptp.g_both @t2 @t43))) % 0.62/0.89 (define @t45 () (or @t44 @t42)) % 0.62/0.89 (define @t46 () (forall (@list @t2 @t43) @t45)) % 0.62/0.89 (define @t47 () (@list @t43)) % 0.62/0.89 (define @t48 () (forall @t47 @t45)) % 0.62/0.89 (define @t49 () (forall @t47 @t44)) % 0.62/0.89 (define @t50 () (@list @t1)) % 0.62/0.89 (define @t51 () (or @t49 @t42)) % 0.62/0.89 (define @t52 () (forall @t3 (not @t11))) % 0.62/0.89 (define @t53 () (or @t52 @t42)) % 0.62/0.89 (define @t54 () (not @t52)) % 0.62/0.89 (define @t55 () (and @t54 @t41)) % 0.62/0.89 (define @t56 () (not @t55)) % 0.62/0.89 (define @t57 () (forall @t5 @t56)) % 0.62/0.89 (define @t58 () (not @t57)) % 0.62/0.89 (define @t59 () (@var "BOUND_VARIABLE_7475" $$unsorted)) % 0.62/0.89 (define @t60 () (not (tptp.g_false_only @t2 @t59))) % 0.62/0.89 (define @t61 () (not @t15)) % 0.62/0.89 (define @t62 () (or @t61 @t60)) % 0.62/0.89 (define @t63 () (forall (@list @t2 @t59) @t62)) % 0.62/0.89 (define @t64 () (@list @t59)) % 0.62/0.89 (define @t65 () (forall @t64 @t62)) % 0.62/0.89 (define @t66 () (forall @t64 @t60)) % 0.62/0.89 (define @t67 () (or @t61 @t66)) % 0.62/0.89 (define @t68 () (and @t15 @t42)) % 0.62/0.89 (define @t69 () (forall @t5 (not @t68))) % 0.62/0.89 (define @t70 () (not @t69)) % 0.62/0.89 (define @t71 () (@var "BOUND_VARIABLE_7509" $$unsorted)) % 0.62/0.89 (define @t72 () (tptp.g_true_only @t2 @t71)) % 0.62/0.89 (define @t73 () (@var "BOUND_VARIABLE_7503" $$unsorted)) % 0.62/0.89 (define @t74 () (not (tptp.g_both @t2 @t73))) % 0.62/0.89 (define @t75 () (or @t74 @t42)) % 0.62/0.89 (define @t76 () (not @t22)) % 0.62/0.89 (define @t77 () (and @t76 @t75)) % 0.62/0.89 (define @t78 () (or @t77 @t20 @t72)) % 0.62/0.89 (define @t79 () (forall (@list @t2 @t73 @t71) @t78)) % 0.62/0.89 (define @t80 () (forall (@list @t73 @t71) @t78)) % 0.62/0.89 (define @t81 () (forall (@list @t71) @t72)) % 0.62/0.89 (define @t82 () (@list @t73)) % 0.62/0.89 (define @t83 () (forall @t82 @t74)) % 0.62/0.89 (define @t84 () (or @t83 @t42)) % 0.62/0.89 (define @t85 () (forall @t82 @t75)) % 0.62/0.89 (define @t86 () (forall @t82 @t76)) % 0.62/0.89 (define @t87 () (and @t86 @t85)) % 0.62/0.89 (define @t88 () (forall @t82 @t77)) % 0.62/0.89 (define @t89 () (or @t88 @t20 @t81)) % 0.62/0.89 (define @t90 () (or @t22 @t55)) % 0.62/0.89 (define @t91 () (not @t90)) % 0.62/0.89 (define @t92 () (not @t19)) % 0.62/0.89 (define @t93 () (not @t21)) % 0.62/0.89 (define @t94 () (or @t91 @t93 @t92)) % 0.62/0.89 (define @t95 () (and @t90 @t21 @t19)) % 0.62/0.89 (define @t96 () (forall @t5 (not @t95))) % 0.62/0.89 (define @t97 () (not @t96)) % 0.62/0.89 (define @t98 () (forall @t3 (not (tptp.g_false_only tptp.a @t1)))) % 0.62/0.89 (define @t99 () (@quantifiers_skolemize @t98 0)) % 0.62/0.89 (define @t100 () (@quantifiers_skolemize (forall @t3 (tptp.g_true_only @t99 @t1)) 0)) % 0.62/0.89 (define @t101 () (@list @t99 @t100)) % 0.62/0.89 (define @t102 () (tptp.g_true_only @t99 @t100)) % 0.62/0.89 (define @t103 () (tptp.g_true_only tptp.a @t99)) % 0.62/0.89 (define @t104 () (forall @t3 (not (tptp.g_false_only @t99 @t1)))) % 0.62/0.89 (define @t105 () (not @t104)) % 0.62/0.89 (define @t106 () (tptp.g_both @t99 @t100)) % 0.62/0.89 (define @t107 () (not @t106)) % 0.62/0.89 (define @t108 () (or @t107 @t105)) % 0.62/0.89 (define @t109 () (and (not (tptp.g_both tptp.a @t99)) @t108)) % 0.62/0.89 (define @t110 () (or @t109 @t103 @t102)) % 0.62/0.89 (define @t111 () (@quantifiers_skolemize (forall @t3 (tptp.g_true_only @t37 @t1)) 0)) % 0.62/0.89 (define @t112 () (tptp.g_true_only @t37 @t111)) % 0.62/0.89 (define @t113 () (tptp.g_true_only tptp.a @t37)) % 0.62/0.89 (define @t114 () (tptp.g_both tptp.a @t37)) % 0.62/0.89 (define @t115 () (not @t114)) % 0.62/0.89 (define @t116 () (and @t115 (or (not (tptp.g_both @t37 @t111)) (not (forall @t3 (not (tptp.g_false_only @t37 @t1))))))) % 0.62/0.89 (define @t117 () (or @t116 @t113 @t112)) % 0.62/0.89 (define @t118 () (tptp.g_true tptp.a @t99)) % 0.62/0.89 (define @t119 () (tptp.g_false tptp.a @t99)) % 0.62/0.89 (define @t120 () (and @t119 (not @t118))) % 0.62/0.89 (define @t121 () (not @t120)) % 0.62/0.89 (define @t122 () (@list tptp.a @t99)) % 0.62/0.89 (define @t123 () (tptp.g_false_only tptp.a @t99)) % 0.62/0.89 (define @t124 () (= @t123 @t120)) % 0.62/0.89 (define @t125 () (not @t124)) % 0.62/0.89 (define @t126 () (not @t119)) % 0.62/0.89 (define @t127 () (and @t118 @t126)) % 0.62/0.89 (define @t128 () (@quantifiers_skolemize @t104 0)) % 0.62/0.89 (define @t129 () (tptp.g_false_only @t99 @t128)) % 0.62/0.89 (define @t130 () (not @t129)) % 0.62/0.89 (define @t131 () (not @t123)) % 0.62/0.89 (define @t132 () (or @t131 @t130)) % 0.62/0.89 (define @t133 () (= @t103 @t127)) % 0.62/0.89 (define @t134 () (not @t130)) % 0.62/0.89 (define @t135 () (not @t110)) % 0.62/0.89 (define @t136 () (@list @t37)) % 0.62/0.89 (define @t137 () (not @t117)) % 0.62/0.89 (define @t138 () (not @t116)) % 0.62/0.89 (define @t139 () (not @t98)) % 0.62/0.89 (define @t140 () (not @t131)) % 0.62/0.89 (define @t141 () (tptp.g_false_only tptp.a @t37)) % 0.62/0.89 (define @t142 () (or @t113 @t114 @t141)) % 0.62/0.89 (define @t143 () (not @t141)) % 0.62/0.89 (define @t144 () (not @t79)) % 0.62/0.89 (define @t145 () (not @t63)) % 0.62/0.89 (define @t146 () (not @t46)) % 0.62/0.89 (define @t147 () (not @t144)) % 0.62/0.89 (define @t148 () (@quantifiers_skolemize @t79 0)) % 0.62/0.89 (define @t149 () (@quantifiers_skolemize @t79 1)) % 0.62/0.89 (define @t150 () (or (not (tptp.g_both @t148 @t149)) (not (forall @t3 (not (tptp.g_false_only @t148 @t1)))))) % 0.62/0.89 (define @t151 () (tptp.g_both tptp.a @t148)) % 0.62/0.89 (define @t152 () (not @t151)) % 0.62/0.89 (define @t153 () (and @t152 @t150)) % 0.62/0.89 (define @t154 () (or @t153 (tptp.g_true_only tptp.a @t148) (tptp.g_true_only @t148 (@quantifiers_skolemize @t79 2)))) % 0.62/0.89 (define @t155 () (not @t154)) % 0.62/0.89 (define @t156 () (or @t152 @t139)) % 0.62/0.89 (define @t157 () (not @t150)) % 0.62/0.89 (define @t158 () (tptp.g_false_only @t99 @t100)) % 0.62/0.89 (define @t159 () (or @t102 @t106 @t158)) % 0.62/0.89 (define @t160 () (@list true true false)) % 0.62/0.89 (define @t161 () (not @t158)) % 0.62/0.89 (define @t162 () (or @t131 @t161)) % 0.62/0.89 (define @t163 () (@list false false)) % 0.62/0.89 (define @t164 () (@list true)) % 0.62/0.89 (define @t165 () (@list false)) % 0.62/0.89 (define @t166 () (or @t115 @t139)) % 0.62/0.89 (define @t167 () (not @t166)) % 0.62/0.89 (assume @p1 @t28) % 0.62/0.89 (assume @p2 (forall @t34 (= @t33 (and @t32 (not @t31))))) % 0.62/0.89 (assume @p3 (forall @t34 (= @t35 (and @t32 @t31)))) % 0.62/0.89 (assume @p4 (forall @t34 (= @t36 (and @t31 (not @t32))))) % 0.62/0.89 (assume @p5 (forall @t34 (or @t33 @t35 @t36))) % 0.62/0.89 (assume @p6 true) % 0.62/0.89 (step @p7 :rule instantiate :premises (@p5) :args (@t38)) % 0.62/0.89 (step @p8 :rule bool-double-not-elim :args (@t39)) % 0.62/0.89 (step @p9 :rule exists-elim :args ((= @t6 @t40))) % 0.62/0.89 (step @p10 :rule cong :premises (@p9) :args (@t7)) % 0.62/0.89 (step @p11 :rule trans :premises (@p10 @p8)) % 0.62/0.89 (step @p12 :rule quant-merge-prenex :args ((= (forall @t5 @t48) @t46))) % 0.62/0.89 (step @p13 :rule refl :args (@t42)) % 0.62/0.89 (step @p14 :rule alpha_equiv :args (@t49 (@list @t43) @t50)) % 0.62/0.89 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t51)) % 0.62/0.89 (step @p16 :rule quant-miniscope-or :args ((= @t48 @t51))) % 0.62/0.89 (step @p17 :rule trans :premises (@p16 @p15)) % 0.62/0.89 (step @p18 :rule symm :premises (@p17)) % 0.62/0.89 (step @p19 :rule cong :premises (@p18) :args ((forall @t5 @t53))) % 0.62/0.89 (step @p20 :rule trans :premises (@p19 @p12)) % 0.62/0.89 (step @p21 :rule bool-double-not-elim :args (@t52)) % 0.62/0.89 (step @p22 :rule nary_cong :premises (@p21 @p13) :args ((or (not @t54) @t42))) % 0.62/0.89 (step @p23 :rule bool-and-de-morgan :args (@t54 @t41 true)) % 0.62/0.89 (step @p24 :rule trans :premises (@p23 @p22)) % 0.62/0.89 (step @p25 :rule cong :premises (@p24) :args (@t57)) % 0.62/0.89 (step @p26 :rule trans :premises (@p25 @p20)) % 0.62/0.89 (step @p27 :rule cong :premises (@p26) :args (@t58)) % 0.62/0.89 (step @p28 :rule exists-elim :args ((= (exists @t5 @t55) @t58))) % 0.62/0.89 (step @p29 :rule trans :premises (@p28 @p27)) % 0.62/0.89 (step @p30 :rule bool-double-not-elim :args (@t41)) % 0.62/0.89 (step @p31 :rule exists-elim :args ((= @t9 @t42))) % 0.62/0.89 (step @p32 :rule cong :premises (@p31) :args (@t10)) % 0.62/0.89 (step @p33 :rule trans :premises (@p32 @p30)) % 0.62/0.89 (step @p34 :rule exists-elim :args ((= @t12 @t54))) % 0.62/0.89 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t13)) % 0.62/0.89 (step @p36 :rule cong :premises (@p35) :args (@t14)) % 0.62/0.89 (step @p37 :rule trans :premises (@p36 @p29)) % 0.62/0.89 (step @p38 :rule bool-double-not-elim :args (@t63)) % 0.62/0.89 (step @p39 :rule quant-merge-prenex :args ((= (forall @t5 @t65) @t63))) % 0.62/0.89 (step @p40 :rule alpha_equiv :args (@t66 (@list @t59) @t50)) % 0.62/0.89 (step @p41 :rule refl :args (@t61)) % 0.62/0.89 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t67)) % 0.62/0.89 (step @p43 :rule quant-miniscope-or :args ((= @t65 @t67))) % 0.62/0.89 (step @p44 :rule trans :premises (@p43 @p42)) % 0.62/0.89 (step @p45 :rule symm :premises (@p44)) % 0.62/0.89 (step @p46 :rule cong :premises (@p45) :args ((forall @t5 (or @t61 @t41)))) % 0.62/0.89 (step @p47 :rule trans :premises (@p46 @p39)) % 0.62/0.89 (step @p48 :rule bool-double-not-elim :args (@t41)) % 0.62/0.89 (step @p49 :rule nary_cong :premises (@p41 @p48) :args ((or @t61 (not @t42)))) % 0.62/0.89 (step @p50 :rule bool-and-de-morgan :args (@t15 @t42 true)) % 0.62/0.89 (step @p51 :rule trans :premises (@p50 @p49)) % 0.62/0.89 (step @p52 :rule cong :premises (@p51) :args (@t69)) % 0.62/0.89 (step @p53 :rule trans :premises (@p52 @p47)) % 0.62/0.89 (step @p54 :rule cong :premises (@p53) :args (@t70)) % 0.62/0.89 (step @p55 :rule exists-elim :args ((= (exists @t5 @t68) @t70))) % 0.62/0.89 (step @p56 :rule trans :premises (@p55 @p54)) % 0.62/0.89 (step @p57 :rule refl :args (@t15)) % 0.62/0.89 (step @p58 :rule nary_cong :premises (@p57 @p31) :args (@t16)) % 0.62/0.89 (step @p59 :rule cong :premises (@p58) :args (@t17)) % 0.62/0.89 (step @p60 :rule trans :premises (@p59 @p56)) % 0.62/0.89 (step @p61 :rule cong :premises (@p60) :args (@t18)) % 0.62/0.89 (step @p62 :rule trans :premises (@p61 @p38)) % 0.62/0.89 (step @p63 :rule quant-merge-prenex :args ((= (forall @t5 @t80) @t79))) % 0.62/0.89 (step @p64 :rule alpha_equiv :args (@t81 (@list @t71) @t50)) % 0.62/0.89 (step @p65 :rule refl :args (@t20)) % 0.62/0.89 (step @p66 :rule alpha_equiv :args (@t83 (@list @t73) @t50)) % 0.62/0.89 (step @p67 :rule nary_cong :premises (@p66 @p13) :args (@t84)) % 0.62/0.89 (step @p68 :rule quant-miniscope-or :args ((= @t85 @t84))) % 0.62/0.89 (step @p69 :rule trans :premises (@p68 @p67)) % 0.62/0.89 (step @p70 :rule quant-unused-vars :args ((= @t86 @t76))) % 0.62/0.89 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t87)) % 0.62/0.89 (step @p72 :rule quant-miniscope-and :args ((= @t88 @t87))) % 0.62/0.89 (step @p73 :rule trans :premises (@p72 @p71)) % 0.62/0.89 (step @p74 :rule nary_cong :premises (@p73 @p65 @p64) :args (@t89)) % 0.62/0.89 (step @p75 :rule quant-miniscope-or :args ((= @t80 @t89))) % 0.62/0.89 (step @p76 :rule trans :premises (@p75 @p74)) % 0.62/0.89 (step @p77 :rule symm :premises (@p76)) % 0.62/0.89 (step @p78 :rule cong :premises (@p77) :args ((forall @t5 (or (and @t76 @t53) @t20 @t4)))) % 0.62/0.89 (step @p79 :rule trans :premises (@p78 @p63)) % 0.62/0.89 (step @p80 :rule refl :args (@t4)) % 0.62/0.89 (step @p81 :rule refl :args (@t76)) % 0.62/0.89 (step @p82 :rule nary_cong :premises (@p81 @p24) :args ((and @t76 @t56))) % 0.62/0.89 (step @p83 :rule bool-or-de-morgan :args (@t22 @t55 false)) % 0.62/0.89 (step @p84 :rule trans :premises (@p83 @p82)) % 0.62/0.89 (step @p85 :rule nary_cong :premises (@p84 @p65 @p80) :args ((or @t91 @t20 @t4))) % 0.62/0.89 (step @p86 :rule bool-double-not-elim :args (@t4)) % 0.62/0.89 (step @p87 :rule bool-double-not-elim :args (@t20)) % 0.62/0.89 (step @p88 :rule refl :args (@t91)) % 0.62/0.89 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86) :args (@t94)) % 0.62/0.89 (step @p90 :rule aci_norm :args ((= (or @t91 (or @t93 @t92)) @t94))) % 0.62/0.89 (step @p91 :rule trans :premises (@p90 @p89)) % 0.62/0.89 (step @p92 :rule bool-and-de-morgan :args (@t21 @t19 true)) % 0.62/0.89 (step @p93 :rule nary_cong :premises (@p88 @p92) :args ((or @t91 (not (and @t21 @t19))))) % 0.62/0.89 (step @p94 :rule bool-and-de-morgan :args (@t90 @t21 (and @t19))) % 0.62/0.89 (step @p95 :rule trans :premises (@p94 @p93)) % 0.62/0.89 (step @p96 :rule trans :premises (@p95 @p91)) % 0.62/0.89 (step @p97 :rule trans :premises (@p96 @p85)) % 0.62/0.89 (step @p98 :rule cong :premises (@p97) :args (@t96)) % 0.62/0.89 (step @p99 :rule trans :premises (@p98 @p79)) % 0.62/0.89 (step @p100 :rule cong :premises (@p99) :args (@t97)) % 0.62/0.89 (step @p101 :rule exists-elim :args ((= (exists @t5 @t95) @t97))) % 0.62/0.89 (step @p102 :rule trans :premises (@p101 @p100)) % 0.62/0.89 (step @p103 :rule refl :args (@t19)) % 0.62/0.89 (step @p104 :rule refl :args (@t21)) % 0.62/0.89 (step @p105 :rule refl :args (@t22)) % 0.62/0.89 (step @p106 :rule nary_cong :premises (@p105 @p35) :args (@t23)) % 0.62/0.89 (step @p107 :rule nary_cong :premises (@p106 @p104 @p103) :args (@t24)) % 0.62/0.89 (step @p108 :rule cong :premises (@p107) :args (@t25)) % 0.62/0.89 (step @p109 :rule trans :premises (@p108 @p102)) % 0.62/0.89 (step @p110 :rule nary_cong :premises (@p109 @p62 @p37 @p11) :args (@t26)) % 0.62/0.89 (step @p111 :rule nary_cong :premises (@p60 @p9 @p110) :args (@t27)) % 0.62/0.89 (step @p112 :rule cong :premises (@p111) :args (@t28)) % 0.62/0.89 (step @p113 :rule eq_resolve :premises (@p1 @p112)) % 0.62/0.89 (step @p114 :rule not_or_elim :premises (@p113) :args (0)) % 0.62/0.89 (step @p115 :rule not_not_elim :premises (@p114)) % 0.62/0.89 (step @p116 :rule instantiate :premises (@p115) :args (@t101)) % 0.62/0.89 (step @p117 :rule instantiate :premises (@p5) :args (@t101)) % 0.62/0.89 (assume-push @p261 @t79) % 0.62/0.89 (step @p119 :rule instantiate :premises (@p261) :args ((@list @t99 @t100 @t100))) % 0.62/0.89 (step-pop @p262 :rule scope :premises (@p119)) % 0.62/0.89 (step @p120 :rule process_scope :premises (@p262) :args (@t110)) % 0.62/0.89 (step @p122 :rule implies_elim :premises (@p120)) % 0.62/0.89 (assume-push @p263 @t79) % 0.62/0.89 (step @p124 :rule instantiate :premises (@p263) :args ((@list @t37 @t111 @t111))) % 0.62/0.89 (step-pop @p264 :rule scope :premises (@p124)) % 0.62/0.89 (step @p125 :rule process_scope :premises (@p264) :args (@t117)) % 0.62/0.89 (step @p127 :rule implies_elim :premises (@p125)) % 0.62/0.89 (step @p128 :rule cnf_and_pos :args (@t120 0)) % 0.62/0.89 (step @p129 :rule reordering :premises (@p128) :args ((or @t119 @t121))) % 0.62/0.89 (step @p130 :rule instantiate :premises (@p4) :args (@t122)) % 0.62/0.89 (step @p131 :rule cnf_equiv_pos2 :args (@t124)) % 0.62/0.89 (step @p132 :rule reordering :premises (@p131) :args ((or @t123 @t121 @t125))) % 0.62/0.89 (step @p133 :rule cnf_and_pos :args (@t127 1)) % 0.62/0.89 (step @p134 :rule reordering :premises (@p133) :args ((or @t126 (not @t127)))) % 0.62/0.89 (step @p135 :rule instantiate :premises (@p115) :args ((@list @t99 @t128))) % 0.62/0.89 (step @p136 :rule cnf_or_pos :args (@t132)) % 0.62/0.89 (step @p137 :rule reordering :premises (@p136) :args ((or @t131 @t130 (not @t132)))) % 0.62/0.89 (step @p138 :rule instantiate :premises (@p2) :args (@t122)) % 0.62/0.89 (step @p139 :rule cnf_equiv_pos1 :args (@t133)) % 0.62/0.89 (step @p140 :rule reordering :premises (@p139) :args ((or @t127 (not @t103) (not @t133)))) % 0.62/0.89 (step @p141 :rule refl :args (@t129)) % 0.62/0.89 (step @p142 :rule bool-double-not-elim :args (@t104)) % 0.62/0.89 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or (not @t105) @t129))) % 0.62/0.89 (step @p144 :rule bool-double-not-elim :args (@t129)) % 0.62/0.89 (step @p145 :rule refl :args (@t105)) % 0.62/0.89 (step @p146 :rule cong :premises (@p145 @p144) :args ((=> @t105 @t134))) % 0.62/0.89 (assume-push @p265 @t105) % 0.62/0.89 (step @p148 :rule skolemize :premises (@p265)) % 0.62/0.89 (step-pop @p266 :rule scope :premises (@p148)) % 0.62/0.89 (step @p149 :rule process_scope :premises (@p266) :args (@t134)) % 0.62/0.89 (step @p151 :rule eq_resolve :premises (@p149 @p146)) % 0.62/0.89 (step @p152 :rule implies_elim :premises (@p151)) % 0.62/0.89 (step @p153 :rule eq_resolve :premises (@p152 @p143)) % 0.62/0.89 (step @p154 :rule not_or_elim :premises (@p113) :args (1)) % 0.62/0.89 (step @p155 :rule not_not_elim :premises (@p154)) % 0.62/0.89 (step @p156 :rule instantiate :premises (@p155) :args ((@list @t99))) % 0.62/0.89 (step @p157 :rule skolemize :premises (@p156)) % 0.62/0.89 (step @p158 :rule cnf_or_pos :args (@t110)) % 0.62/0.89 (step @p159 :rule reordering :premises (@p158) :args ((or @t103 @t102 @t109 @t135))) % 0.62/0.89 (step @p160 :rule cnf_or_pos :args (@t108)) % 0.62/0.89 (step @p161 :rule reordering :premises (@p160) :args ((or @t107 @t105 (not @t108)))) % 0.62/0.89 (step @p162 :rule cnf_and_pos :args (@t109 1)) % 0.62/0.89 (step @p163 :rule reordering :premises (@p162) :args ((or @t108 (not @t109)))) % 0.62/0.89 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p159 @p157 @p153 @p140 @p138 @p137 @p135 @p134 @p132 @p130 @p129) :args ((or @t121 @t107 @t135) (@list true false true false true false true false true false false false) (@list @t108 @t109 @t102 @t104 @t103 @t133 @t129 @t132 @t127 @t123 @t124 @t119))) % 0.62/0.89 (step @p165 :rule instantiate :premises (@p155) :args ((@list tptp.a))) % 0.62/0.89 (step @p166 :rule skolemize :premises (@p165)) % 0.62/0.89 (step @p167 :rule instantiate :premises (@p155) :args (@t136)) % 0.62/0.89 (step @p168 :rule skolemize :premises (@p167)) % 0.62/0.89 (step @p169 :rule cnf_or_pos :args (@t117)) % 0.62/0.89 (step @p170 :rule reordering :premises (@p169) :args ((or @t113 @t112 @t116 @t137))) % 0.62/0.89 (step @p171 :rule cnf_equiv_pos1 :args (@t124)) % 0.62/0.89 (step @p172 :rule reordering :premises (@p171) :args ((or @t131 @t120 @t125))) % 0.62/0.89 (step @p173 :rule cnf_and_pos :args (@t116 0)) % 0.62/0.89 (step @p174 :rule reordering :premises (@p173) :args ((or @t115 @t138))) % 0.62/0.89 (step @p175 :rule refl :args (@t123)) % 0.62/0.89 (step @p176 :rule bool-double-not-elim :args (@t98)) % 0.62/0.89 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or (not @t139) @t123))) % 0.62/0.89 (step @p178 :rule bool-double-not-elim :args (@t123)) % 0.62/0.89 (step @p179 :rule refl :args (@t139)) % 0.62/0.89 (step @p180 :rule cong :premises (@p179 @p178) :args ((=> @t139 @t140))) % 0.62/0.89 (assume-push @p267 @t139) % 0.62/0.89 (step @p182 :rule skolemize :premises (@p267)) % 0.62/0.89 (step-pop @p268 :rule scope :premises (@p182)) % 0.62/0.89 (step @p183 :rule process_scope :premises (@p268) :args (@t140)) % 0.62/0.89 (step @p185 :rule eq_resolve :premises (@p183 @p180)) % 0.62/0.89 (step @p186 :rule implies_elim :premises (@p185)) % 0.62/0.89 (step @p187 :rule eq_resolve :premises (@p186 @p177)) % 0.62/0.89 (step @p188 :rule cnf_or_pos :args (@t142)) % 0.62/0.89 (step @p189 :rule reordering :premises (@p188) :args ((or @t113 @t114 @t141 (not @t142)))) % 0.62/0.89 (assume-push @p269 @t98) % 0.62/0.89 (step @p191 :rule instantiate :premises (@p269) :args (@t136)) % 0.62/0.89 (step-pop @p270 :rule scope :premises (@p191)) % 0.62/0.89 (step @p192 :rule process_scope :premises (@p270) :args (@t143)) % 0.62/0.89 (step @p194 :rule implies_elim :premises (@p192)) % 0.62/0.89 (step @p195 :rule chain_m_resolution :premises (@p194 @p189 @p7 @p166 @p187 @p174 @p172 @p130 @p170 @p168 @p166 @p164 @p127 @p122) :args ((or @t144 @t107) (@list false false true false true true false false true true true false false) (@list @t141 @t142 @t113 @t98 @t114 @t123 @t124 @t116 @t112 @t113 @t120 @t117 @t110))) % 0.62/0.89 (step @p196 :rule refl :args (@t40)) % 0.62/0.89 (step @p197 :rule bool-double-not-elim :args (@t46)) % 0.62/0.89 (step @p198 :rule refl :args (@t145)) % 0.62/0.89 (step @p199 :rule bool-double-not-elim :args (@t79)) % 0.62/0.89 (step @p200 :rule nary_cong :premises (@p199 @p198 @p197 @p196) :args ((or @t147 @t145 (not @t146) @t40))) % 0.62/0.89 (step @p201 :rule not_or_elim :premises (@p113) :args (2)) % 0.62/0.89 (step @p202 :rule not_and :premises (@p201)) % 0.62/0.89 (step @p203 :rule eq_resolve :premises (@p202 @p200)) % 0.62/0.89 (step @p204 :rule reordering :premises (@p203) :args ((or @t145 @t40 @t79 @t46))) % 0.62/0.89 (step @p205 :rule refl :args (@t155)) % 0.62/0.89 (step @p206 :rule nary_cong :premises (@p199 @p205) :args ((or @t147 @t155))) % 0.62/0.89 (assume-push @p271 @t144) % 0.62/0.89 (step @p208 :rule skolemize :premises (@p271)) % 0.62/0.89 (step-pop @p272 :rule scope :premises (@p208)) % 0.62/0.89 (step @p209 :rule process_scope :premises (@p272) :args (@t155)) % 0.62/0.89 (step @p211 :rule implies_elim :premises (@p209)) % 0.62/0.89 (step @p212 :rule eq_resolve :premises (@p211 @p206)) % 0.62/0.89 (assume-push @p273 @t46) % 0.62/0.89 (step @p214 :rule instantiate :premises (@p273) :args ((@list @t148 @t149))) % 0.62/0.89 (step-pop @p274 :rule scope :premises (@p214)) % 0.62/0.89 (step @p215 :rule process_scope :premises (@p274) :args (@t150)) % 0.62/0.89 (step @p217 :rule implies_elim :premises (@p215)) % 0.62/0.89 (assume-push @p275 @t46) % 0.62/0.89 (step @p219 :rule instantiate :premises (@p275) :args ((@list tptp.a @t148))) % 0.62/0.89 (step-pop @p276 :rule scope :premises (@p219)) % 0.62/0.89 (step @p220 :rule process_scope :premises (@p276) :args (@t156)) % 0.62/0.89 (step @p222 :rule implies_elim :premises (@p220)) % 0.62/0.89 (assume-push @p277 @t46) % 0.62/0.89 (step @p224 :rule instantiate :premises (@p277) :args (@t101)) % 0.62/0.89 (step-pop @p278 :rule scope :premises (@p224)) % 0.62/0.89 (step @p225 :rule process_scope :premises (@p278) :args (@t108)) % 0.62/0.89 (step @p227 :rule implies_elim :premises (@p225)) % 0.62/0.89 (step @p228 :rule cnf_or_neg :args (@t154 0)) % 0.62/0.89 (step @p229 :rule refl :args (@t157)) % 0.62/0.89 (step @p230 :rule bool-double-not-elim :args (@t151)) % 0.62/0.89 (step @p231 :rule refl :args (@t153)) % 0.62/0.89 (step @p232 :rule nary_cong :premises (@p231 @p230 @p229) :args ((or @t153 (not @t152) @t157))) % 0.62/0.89 (step @p233 :rule cnf_and_neg :args (@t153)) % 0.62/0.89 (step @p234 :rule eq_resolve :premises (@p233 @p232)) % 0.62/0.89 (step @p235 :rule reordering :premises (@p234) :args ((or @t151 @t153 @t157))) % 0.62/0.89 (step @p236 :rule cnf_or_pos :args (@t156)) % 0.62/0.89 (step @p237 :rule reordering :premises (@p236) :args ((or @t152 @t139 (not @t156)))) % 0.62/0.89 (step @p238 :rule chain_m_resolution :premises (@p187 @p137 @p135 @p237 @p153 @p235 @p161 @p228 @p227 @p222 @p217 @p212 @p204 @p155 @p115 @p195) :args (@t107 (@list true false true false false true true false false false true false false false true) (@list @t123 @t132 @t98 @t129 @t151 @t104 @t153 @t108 @t156 @t150 @t154 @t46 @t39 @t63 @t79))) % 0.62/0.89 (step @p239 :rule cnf_or_pos :args (@t159)) % 0.62/0.89 (step @p240 :rule reordering :premises (@p239) :args ((or @t102 @t106 @t158 (not @t159)))) % 0.62/0.89 (step @p241 :rule chain_m_resolution :premises (@p240 @p157 @p238 @p117) :args (@t158 @t160 (@list @t102 @t106 @t159))) % 0.62/0.89 (step @p242 :rule cnf_or_pos :args (@t162)) % 0.62/0.89 (step @p243 :rule reordering :premises (@p242) :args ((or @t131 @t161 (not @t162)))) % 0.62/0.89 (step @p244 :rule chain_m_resolution :premises (@p243 @p241 @p116) :args (@t131 @t163 (@list @t158 @t162))) % 0.62/0.89 (step @p245 :rule chain_m_resolution :premises (@p187 @p244) :args (@t98 @t164 (@list @t123))) % 0.62/0.89 (step @p246 :rule chain_m_resolution :premises (@p194 @p245) :args (@t143 @t165 (@list @t98))) % 0.62/0.89 (step @p247 :rule chain_m_resolution :premises (@p189 @p166 @p246 @p7) :args (@t114 @t160 (@list @t113 @t141 @t142))) % 0.62/0.89 (step @p248 :rule chain_m_resolution :premises (@p174 @p247) :args (@t138 @t165 (@list @t114))) % 0.62/0.89 (step @p249 :rule chain_m_resolution :premises (@p170 @p166 @p168 @p248) :args (@t137 (@list true true true) (@list @t113 @t112 @t116))) % 0.62/0.89 (step @p250 :rule cnf_or_pos :args (@t166)) % 0.62/0.89 (step @p251 :rule reordering :premises (@p250) :args ((or @t139 @t115 @t167))) % 0.62/0.89 (step @p252 :rule chain_m_resolution :premises (@p251 @p245 @p247) :args (@t167 @t163 (@list @t98 @t114))) % 0.62/0.89 (assume-push @p279 @t46) % 0.62/0.89 (step @p254 :rule instantiate :premises (@p279) :args (@t38)) % 0.62/0.89 (step-pop @p280 :rule scope :premises (@p254)) % 0.62/0.89 (step @p255 :rule process_scope :premises (@p280) :args (@t166)) % 0.62/0.89 (step @p257 :rule implies_elim :premises (@p255)) % 0.62/0.89 (step @p258 :rule chain_m_resolution :premises (@p257 @p252) :args (@t146 @t164 (@list @t166))) % 0.62/0.89 (step @p259 :rule chain_m_resolution :premises (@p204 @p115 @p155 @p258) :args (@t79 (@list false false true) (@list @t63 @t39 @t46))) % 0.62/0.89 (step @p260 false :rule chain_m_resolution :premises (@p127 @p259 @p249) :args (false (@list false true) (@list @t79 @t117))) % 0.62/0.89 ) % 0.62/0.89 % SZS output end Proof % 0.62/0.89 % cvc5 exiting %------------------------------------------------------------------------------