%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL686+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:36 AM UTC 2026 % Result : Theorem 0.16s 0.53s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL686+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.35 % Computer : n009.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Sat Sep 5 09:51:22 UTC 2026 % 0.09/0.35 % CPUTime : % 0.12/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.53 % SZS status Theorem % 0.16/0.53 % SZS output start Proof % 0.16/0.53 ( % 0.16/0.53 (declare-sort $$unsorted 0) % 0.16/0.53 (declare-const tptp.p3 (-> $$unsorted Bool)) % 0.16/0.53 (declare-const tptp.p2 (-> $$unsorted Bool)) % 0.16/0.53 (declare-const tptp.p1 (-> $$unsorted Bool)) % 0.16/0.53 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 0.16/0.53 (define @t1 () (@var "X" $$unsorted)) % 0.16/0.53 (define @t2 () (@list @t1)) % 0.16/0.53 (define @t3 () (@var "Z" $$unsorted)) % 0.16/0.53 (define @t4 () (@var "Y" $$unsorted)) % 0.16/0.53 (define @t5 () (tptp.r1 @t1 @t4)) % 0.16/0.53 (define @t6 () (tptp.p1 @t4)) % 0.16/0.53 (define @t7 () (tptp.p2 @t4)) % 0.16/0.53 (define @t8 () (not @t7)) % 0.16/0.53 (define @t9 () (not @t6)) % 0.16/0.53 (define @t10 () (not @t5)) % 0.16/0.53 (define @t11 () (@list @t4)) % 0.16/0.53 (define @t12 () (forall @t11 (or @t10 (and @t9 @t8) (and @t7 @t6)))) % 0.16/0.53 (define @t13 () (tptp.p3 @t4)) % 0.16/0.53 (define @t14 () (forall @t11 (or @t10 @t13))) % 0.16/0.53 (define @t15 () (and @t8 @t6)) % 0.16/0.53 (define @t16 () (and @t7 @t9)) % 0.16/0.53 (define @t17 () (or @t10 (not (or @t16 @t15)))) % 0.16/0.53 (define @t18 () (forall @t11 @t17)) % 0.16/0.53 (define @t19 () (not @t18)) % 0.16/0.53 (define @t20 () (or @t10 false)) % 0.16/0.53 (define @t21 () (forall @t11 @t20)) % 0.16/0.53 (define @t22 () (or @t21 @t19 @t14 @t12)) % 0.16/0.53 (define @t23 () (not @t22)) % 0.16/0.53 (define @t24 () (not (tptp.r1 @t4 @t1))) % 0.16/0.53 (define @t25 () (or @t24 @t23)) % 0.16/0.53 (define @t26 () (forall @t2 @t25)) % 0.16/0.53 (define @t27 () (not @t26)) % 0.16/0.53 (define @t28 () (or @t10 @t27)) % 0.16/0.53 (define @t29 () (forall @t11 @t28)) % 0.16/0.53 (define @t30 () (not @t13)) % 0.16/0.53 (define @t31 () (forall @t11 (or @t10 @t30 (forall @t2 (or @t24 (not (tptp.p1 @t1))))))) % 0.16/0.53 (define @t32 () (or @t31 @t29)) % 0.16/0.53 (define @t33 () (not @t32)) % 0.16/0.53 (define @t34 () (exists @t2 @t33)) % 0.16/0.53 (define @t35 () (@var "BOUND_VARIABLE_7525" $$unsorted)) % 0.16/0.53 (define @t36 () (tptp.p1 @t35)) % 0.16/0.53 (define @t37 () (tptp.p2 @t35)) % 0.16/0.53 (define @t38 () (and @t37 @t36)) % 0.16/0.53 (define @t39 () (and (not @t36) (not @t37))) % 0.16/0.53 (define @t40 () (@var "BOUND_VARIABLE_7568" $$unsorted)) % 0.16/0.53 (define @t41 () (@list @t35)) % 0.16/0.53 (define @t42 () (@var "BOUND_VARIABLE_7539" $$unsorted)) % 0.16/0.53 (define @t43 () (tptp.p3 @t42)) % 0.16/0.53 (define @t44 () (@list @t42)) % 0.16/0.53 (define @t45 () (@var "BOUND_VARIABLE_7506" $$unsorted)) % 0.16/0.53 (define @t46 () (tptp.p1 @t45)) % 0.16/0.53 (define @t47 () (tptp.p2 @t45)) % 0.16/0.53 (define @t48 () (and (or (not @t47) @t46) (or @t47 (not @t46)))) % 0.16/0.53 (define @t49 () (@var "BOUND_VARIABLE_7548" $$unsorted)) % 0.16/0.53 (define @t50 () (@list @t49)) % 0.16/0.53 (define @t51 () (and (not (forall @t50 (not (tptp.r1 @t40 @t49)))) (or (not (tptp.r1 @t40 @t45)) @t48) (not (forall @t44 (or (not (tptp.r1 @t40 @t42)) @t43))) (not (forall @t41 (or (not (tptp.r1 @t40 @t35)) @t39 @t38))))) % 0.16/0.53 (define @t52 () (@var "BOUND_VARIABLE_7611" $$unsorted)) % 0.16/0.53 (define @t53 () (@list @t40 @t45)) % 0.16/0.53 (define @t54 () (not (forall @t53 (or (not (tptp.r1 @t52 @t40)) @t51)))) % 0.16/0.53 (define @t55 () (not (tptp.r1 @t1 @t52))) % 0.16/0.53 (define @t56 () (@var "BOUND_VARIABLE_7600" $$unsorted)) % 0.16/0.53 (define @t57 () (not (tptp.p1 @t56))) % 0.16/0.53 (define @t58 () (@var "BOUND_VARIABLE_7598" $$unsorted)) % 0.16/0.53 (define @t59 () (not (tptp.r1 @t58 @t56))) % 0.16/0.53 (define @t60 () (not (tptp.p3 @t58))) % 0.16/0.53 (define @t61 () (not (tptp.r1 @t1 @t58))) % 0.16/0.53 (define @t62 () (or @t61 @t60 @t59 @t57 @t55 @t54)) % 0.16/0.53 (define @t63 () (or @t55 @t54)) % 0.16/0.53 (define @t64 () (or @t61 @t60 @t59 @t57)) % 0.16/0.53 (define @t65 () (or @t64 @t63)) % 0.16/0.53 (define @t66 () (@list @t1 @t58 @t56 @t52)) % 0.16/0.53 (define @t67 () (forall @t66 @t65)) % 0.16/0.53 (define @t68 () (forall (@list @t58 @t56 @t52) @t65)) % 0.16/0.53 (define @t69 () (forall (@list @t52) @t63)) % 0.16/0.53 (define @t70 () (@list @t4)) % 0.16/0.53 (define @t71 () (forall (@list @t58 @t56) @t64)) % 0.16/0.53 (define @t72 () (@var "BOUND_VARIABLE_7475" $$unsorted)) % 0.16/0.53 (define @t73 () (or @t71 @t69)) % 0.16/0.53 (define @t74 () (not (tptp.p1 @t72))) % 0.16/0.53 (define @t75 () (not (tptp.r1 @t4 @t72))) % 0.16/0.53 (define @t76 () (or @t10 @t30 @t75 @t74)) % 0.16/0.53 (define @t77 () (@list @t4 @t72)) % 0.16/0.53 (define @t78 () (forall @t77 @t76)) % 0.16/0.53 (define @t79 () (or (not (tptp.r1 @t1 @t45)) @t48)) % 0.16/0.53 (define @t80 () (@list @t1 @t45)) % 0.16/0.53 (define @t81 () (forall @t80 (or @t24 (and (not (forall @t50 (not (tptp.r1 @t1 @t49)))) @t79 (not (forall @t44 (or (not (tptp.r1 @t1 @t42)) @t43))) (not (forall @t41 (or (not (tptp.r1 @t1 @t35)) @t39 @t38))))))) % 0.16/0.53 (define @t82 () (@list @t1)) % 0.16/0.53 (define @t83 () (not @t81)) % 0.16/0.53 (define @t84 () (or @t10 @t83)) % 0.16/0.53 (define @t85 () (forall @t11 @t84)) % 0.16/0.53 (define @t86 () (or @t78 @t85)) % 0.16/0.53 (define @t87 () (not @t86)) % 0.16/0.53 (define @t88 () (forall @t2 (not @t87))) % 0.16/0.53 (define @t89 () (not @t88)) % 0.16/0.53 (define @t90 () (not @t12)) % 0.16/0.53 (define @t91 () (not @t14)) % 0.16/0.53 (define @t92 () (forall @t11 @t10)) % 0.16/0.53 (define @t93 () (not @t92)) % 0.16/0.53 (define @t94 () (and @t93 @t79 @t91 @t90)) % 0.16/0.53 (define @t95 () (or @t24 @t94)) % 0.16/0.53 (define @t96 () (forall @t80 @t95)) % 0.16/0.53 (define @t97 () (not @t96)) % 0.16/0.53 (define @t98 () (or @t10 @t97)) % 0.16/0.53 (define @t99 () (@list @t45)) % 0.16/0.53 (define @t100 () (forall @t99 @t95)) % 0.16/0.53 (define @t101 () (forall @t99 @t90)) % 0.16/0.53 (define @t102 () (forall @t99 @t91)) % 0.16/0.53 (define @t103 () (forall @t99 @t79)) % 0.16/0.53 (define @t104 () (forall @t99 @t93)) % 0.16/0.53 (define @t105 () (and @t104 @t103 @t102 @t101)) % 0.16/0.53 (define @t106 () (forall @t99 @t94)) % 0.16/0.53 (define @t107 () (or @t24 @t106)) % 0.16/0.53 (define @t108 () (forall @t11 (or @t10 (and (or @t8 @t6) (or @t7 @t9))))) % 0.16/0.53 (define @t109 () (not @t108)) % 0.16/0.53 (define @t110 () (not @t109)) % 0.16/0.53 (define @t111 () (and @t93 @t110 @t91 @t90)) % 0.16/0.53 (define @t112 () (or @t24 (not (or @t92 @t109 @t14 @t12)))) % 0.16/0.53 (define @t113 () (or @t75 @t74)) % 0.16/0.53 (define @t114 () (or @t10 @t30 @t113)) % 0.16/0.53 (define @t115 () (forall @t77 @t114)) % 0.16/0.53 (define @t116 () (@list @t72)) % 0.16/0.53 (define @t117 () (forall @t116 @t114)) % 0.16/0.53 (define @t118 () (forall @t116 @t113)) % 0.16/0.53 (define @t119 () (or @t10 @t30 @t118)) % 0.16/0.53 (define @t120 () (forall @t66 @t62)) % 0.16/0.53 (define @t121 () (@quantifiers_skolemize @t120 3)) % 0.16/0.53 (define @t122 () (forall @t53 (or (not (tptp.r1 @t121 @t40)) @t51))) % 0.16/0.53 (define @t123 () (not @t122)) % 0.16/0.53 (define @t124 () (@quantifiers_skolemize @t120 0)) % 0.16/0.53 (define @t125 () (@quantifiers_skolemize @t120 2)) % 0.16/0.53 (define @t126 () (@quantifiers_skolemize @t120 1)) % 0.16/0.53 (define @t127 () (or (not (tptp.r1 @t124 @t126)) (not (tptp.p3 @t126)) (not (tptp.r1 @t126 @t125)) (not (tptp.p1 @t125)) (not (tptp.r1 @t124 @t121)) @t123)) % 0.16/0.53 (define @t128 () (@list true)) % 0.16/0.53 (define @t129 () (forall @t41 (or (not (tptp.r1 @t121 @t35)) @t39 @t38))) % 0.16/0.53 (define @t130 () (@quantifiers_skolemize @t129 0)) % 0.16/0.53 (define @t131 () (not @t129)) % 0.16/0.53 (define @t132 () (not (forall @t44 (or (not (tptp.r1 @t121 @t42)) @t43)))) % 0.16/0.53 (define @t133 () (tptp.p1 @t130)) % 0.16/0.53 (define @t134 () (not @t133)) % 0.16/0.53 (define @t135 () (tptp.p2 @t130)) % 0.16/0.53 (define @t136 () (or @t135 @t134)) % 0.16/0.53 (define @t137 () (not @t135)) % 0.16/0.53 (define @t138 () (or @t137 @t133)) % 0.16/0.53 (define @t139 () (and @t138 @t136)) % 0.16/0.53 (define @t140 () (tptp.r1 @t121 @t130)) % 0.16/0.53 (define @t141 () (not @t140)) % 0.16/0.53 (define @t142 () (or @t141 @t139)) % 0.16/0.53 (define @t143 () (not (forall @t50 (not (tptp.r1 @t121 @t49))))) % 0.16/0.53 (define @t144 () (and @t143 @t142 @t132 @t131)) % 0.16/0.53 (define @t145 () (tptp.r1 @t121 @t121)) % 0.16/0.53 (define @t146 () (not @t145)) % 0.16/0.53 (define @t147 () (or @t146 @t144)) % 0.16/0.53 (define @t148 () (@list false false)) % 0.16/0.53 (define @t149 () (@list false)) % 0.16/0.53 (define @t150 () (tptp.p1 @t124)) % 0.16/0.53 (define @t151 () (tptp.p2 @t124)) % 0.16/0.53 (define @t152 () (and @t143 (or (not (tptp.r1 @t121 @t124)) (and (or (not @t151) @t150) (or @t151 (not @t150)))) @t132 @t131)) % 0.16/0.53 (define @t153 () (or @t146 @t152)) % 0.16/0.53 (define @t154 () (and @t135 @t133)) % 0.16/0.53 (define @t155 () (and @t134 @t137)) % 0.16/0.53 (define @t156 () (or @t141 @t155 @t154)) % 0.16/0.53 (define @t157 () (@list @t156)) % 0.16/0.53 (define @t158 () (not @t139)) % 0.16/0.53 (define @t159 () (@list @t139)) % 0.16/0.53 (assume @p1 (forall @t2 (tptp.r1 @t1 @t1))) % 0.16/0.53 (assume @p2 (forall (@list @t1 @t4 @t3) (=> (and @t5 (tptp.r1 @t4 @t3)) (tptp.r1 @t1 @t3)))) % 0.16/0.53 (assume @p3 (not (not @t34))) % 0.16/0.53 (assume @p4 true) % 0.16/0.53 (step @p5 :rule aci_norm :args ((= @t65 @t62))) % 0.16/0.53 (step @p6 :rule cong :premises (@p5) :args (@t67)) % 0.16/0.53 (step @p7 :rule quant-merge-prenex :args ((= (forall @t2 @t68) @t67))) % 0.16/0.53 (step @p8 :rule alpha_equiv :args (@t69 (@list @t52) @t70)) % 0.16/0.53 (step @p9 :rule alpha_equiv :args (@t71 (@list @t58 @t56) (@list @t4 @t72))) % 0.16/0.53 (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t73)) % 0.16/0.53 (step @p11 :rule quant-miniscope-or :args ((= @t68 @t73))) % 0.16/0.53 (step @p12 :rule trans :premises (@p11 @p10)) % 0.16/0.53 (step @p13 :rule symm :premises (@p12)) % 0.16/0.53 (step @p14 :rule cong :premises (@p13) :args ((forall @t2 (or @t78 (forall @t11 (or @t10 (not (forall @t53 (or (not (tptp.r1 @t4 @t40)) @t51))))))))) % 0.16/0.53 (step @p15 :rule trans :premises (@p14 @p7)) % 0.16/0.53 (step @p16 :rule trans :premises (@p15 @p6)) % 0.16/0.53 (step @p17 :rule alpha_equiv :args (@t81 @t82 (@list @t40))) % 0.16/0.53 (step @p18 :rule cong :premises (@p17) :args (@t83)) % 0.16/0.53 (step @p19 :rule refl :args (@t10)) % 0.16/0.53 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t84)) % 0.16/0.53 (step @p21 :rule cong :premises (@p20) :args (@t85)) % 0.16/0.53 (step @p22 :rule refl :args (@t78)) % 0.16/0.53 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t86)) % 0.16/0.53 (step @p24 :rule cong :premises (@p23) :args ((forall @t2 @t86))) % 0.16/0.53 (step @p25 :rule trans :premises (@p24 @p16)) % 0.16/0.53 (step @p26 :rule bool-double-not-elim :args (@t86)) % 0.16/0.53 (step @p27 :rule cong :premises (@p26) :args (@t88)) % 0.16/0.53 (step @p28 :rule trans :premises (@p27 @p25)) % 0.16/0.53 (step @p29 :rule cong :premises (@p28) :args (@t89)) % 0.16/0.53 (step @p30 :rule exists-elim :args ((= (exists @t2 @t87) @t89))) % 0.16/0.53 (step @p31 :rule trans :premises (@p30 @p29)) % 0.16/0.53 (step @p32 :rule alpha_equiv :args (@t12 @t70 (@list @t35))) % 0.16/0.53 (step @p33 :rule cong :premises (@p32) :args (@t90)) % 0.16/0.53 (step @p34 :rule alpha_equiv :args (@t14 @t70 (@list @t42))) % 0.16/0.53 (step @p35 :rule cong :premises (@p34) :args (@t91)) % 0.16/0.53 (step @p36 :rule refl :args (@t79)) % 0.16/0.53 (step @p37 :rule alpha_equiv :args (@t92 @t70 (@list @t49))) % 0.16/0.53 (step @p38 :rule cong :premises (@p37) :args (@t93)) % 0.16/0.53 (step @p39 :rule nary_cong :premises (@p38 @p36 @p35 @p33) :args (@t94)) % 0.16/0.53 (step @p40 :rule refl :args (@t24)) % 0.16/0.53 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t95)) % 0.16/0.53 (step @p42 :rule cong :premises (@p41) :args (@t96)) % 0.16/0.53 (step @p43 :rule cong :premises (@p42) :args (@t97)) % 0.16/0.53 (step @p44 :rule nary_cong :premises (@p19 @p43) :args (@t98)) % 0.16/0.53 (step @p45 :rule cong :premises (@p44) :args ((forall @t11 @t98))) % 0.16/0.53 (step @p46 :rule quant-merge-prenex :args ((= (forall @t2 @t100) @t96))) % 0.16/0.53 (step @p47 :rule quant-unused-vars :args ((= @t101 @t90))) % 0.16/0.53 (step @p48 :rule quant-unused-vars :args ((= @t102 @t91))) % 0.16/0.53 (step @p49 :rule alpha_equiv :args (@t103 (@list @t45) @t70)) % 0.16/0.53 (step @p50 :rule quant-unused-vars :args ((= @t104 @t93))) % 0.16/0.53 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48 @p47) :args (@t105)) % 0.16/0.53 (step @p52 :rule quant-miniscope-and :args ((= @t106 @t105))) % 0.16/0.53 (step @p53 :rule trans :premises (@p52 @p51)) % 0.16/0.53 (step @p54 :rule nary_cong :premises (@p40 @p53) :args (@t107)) % 0.16/0.53 (step @p55 :rule quant-miniscope-or :args ((= @t100 @t107))) % 0.16/0.53 (step @p56 :rule trans :premises (@p55 @p54)) % 0.16/0.53 (step @p57 :rule symm :premises (@p56)) % 0.16/0.53 (step @p58 :rule cong :premises (@p57) :args ((forall @t2 (or @t24 (and @t93 @t108 @t91 @t90))))) % 0.16/0.53 (step @p59 :rule trans :premises (@p58 @p46)) % 0.16/0.53 (step @p60 :rule refl :args (@t90)) % 0.16/0.53 (step @p61 :rule refl :args (@t91)) % 0.16/0.53 (step @p62 :rule bool-double-not-elim :args (@t108)) % 0.16/0.53 (step @p63 :rule refl :args (@t93)) % 0.16/0.53 (step @p64 :rule nary_cong :premises (@p63 @p62 @p61 @p60) :args (@t111)) % 0.16/0.53 (step @p65 :rule aci_norm :args ((= (and @t93 (and @t110 (and @t91 @t90))) @t111))) % 0.16/0.53 (step @p66 :rule trans :premises (@p65 @p64)) % 0.16/0.53 (step @p67 :rule bool-or-de-morgan :args (@t14 @t12 false)) % 0.16/0.53 (step @p68 :rule refl :args (@t110)) % 0.16/0.53 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((and @t110 (not (or @t14 @t12))))) % 0.16/0.53 (step @p70 :rule bool-or-de-morgan :args (@t109 @t14 (or @t12))) % 0.16/0.53 (step @p71 :rule trans :premises (@p70 @p69)) % 0.16/0.53 (step @p72 :rule nary_cong :premises (@p63 @p71) :args ((and @t93 (not (or @t109 @t14 @t12))))) % 0.16/0.53 (step @p73 :rule bool-or-de-morgan :args (@t92 @t109 (or @t14 @t12))) % 0.16/0.53 (step @p74 :rule trans :premises (@p73 @p72)) % 0.16/0.53 (step @p75 :rule trans :premises (@p74 @p66)) % 0.16/0.53 (step @p76 :rule nary_cong :premises (@p40 @p75) :args (@t112)) % 0.16/0.53 (step @p77 :rule cong :premises (@p76) :args ((forall @t2 @t112))) % 0.16/0.53 (step @p78 :rule trans :premises (@p77 @p59)) % 0.16/0.53 (step @p79 :rule refl :args (@t12)) % 0.16/0.53 (step @p80 :rule refl :args (@t14)) % 0.16/0.53 (step @p81 :rule refl :args (@t9)) % 0.16/0.53 (step @p82 :rule bool-double-not-elim :args (@t7)) % 0.16/0.53 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or (not @t8) @t9))) % 0.16/0.53 (step @p84 :rule bool-and-de-morgan :args (@t8 @t6 true)) % 0.16/0.53 (step @p85 :rule trans :premises (@p84 @p83)) % 0.16/0.53 (step @p86 :rule bool-double-not-elim :args (@t6)) % 0.16/0.53 (step @p87 :rule refl :args (@t8)) % 0.16/0.53 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t8 (not @t9)))) % 0.16/0.53 (step @p89 :rule bool-and-de-morgan :args (@t7 @t9 true)) % 0.16/0.53 (step @p90 :rule trans :premises (@p89 @p88)) % 0.16/0.53 (step @p91 :rule nary_cong :premises (@p90 @p85) :args ((and (not @t16) (not @t15)))) % 0.16/0.53 (step @p92 :rule bool-or-de-morgan :args (@t16 @t15 false)) % 0.16/0.53 (step @p93 :rule trans :premises (@p92 @p91)) % 0.16/0.53 (step @p94 :rule nary_cong :premises (@p19 @p93) :args (@t17)) % 0.16/0.53 (step @p95 :rule cong :premises (@p94) :args (@t18)) % 0.16/0.53 (step @p96 :rule cong :premises (@p95) :args (@t19)) % 0.16/0.53 (step @p97 :rule aci_norm :args ((= @t20 @t10))) % 0.16/0.53 (step @p98 :rule cong :premises (@p97) :args (@t21)) % 0.16/0.53 (step @p99 :rule nary_cong :premises (@p98 @p96 @p80 @p79) :args (@t22)) % 0.16/0.53 (step @p100 :rule cong :premises (@p99) :args (@t23)) % 0.16/0.53 (step @p101 :rule refl :args (@t24)) % 0.16/0.53 (step @p102 :rule nary_cong :premises (@p101 @p100) :args (@t25)) % 0.16/0.53 (step @p103 :rule cong :premises (@p102) :args (@t26)) % 0.16/0.53 (step @p104 :rule trans :premises (@p103 @p78)) % 0.16/0.53 (step @p105 :rule cong :premises (@p104) :args (@t27)) % 0.16/0.53 (step @p106 :rule refl :args (@t10)) % 0.16/0.53 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t28)) % 0.16/0.53 (step @p108 :rule cong :premises (@p107) :args (@t29)) % 0.16/0.53 (step @p109 :rule trans :premises (@p108 @p45)) % 0.16/0.53 (step @p110 :rule aci_norm :args ((= @t114 @t76))) % 0.16/0.53 (step @p111 :rule cong :premises (@p110) :args (@t115)) % 0.16/0.53 (step @p112 :rule quant-merge-prenex :args ((= (forall @t11 @t117) @t115))) % 0.16/0.53 (step @p113 :rule alpha_equiv :args (@t118 (@list @t72) @t82)) % 0.16/0.53 (step @p114 :rule refl :args (@t30)) % 0.16/0.53 (step @p115 :rule nary_cong :premises (@p19 @p114 @p113) :args (@t119)) % 0.16/0.53 (step @p116 :rule quant-miniscope-or :args ((= @t117 @t119))) % 0.16/0.53 (step @p117 :rule trans :premises (@p116 @p115)) % 0.16/0.53 (step @p118 :rule symm :premises (@p117)) % 0.16/0.53 (step @p119 :rule cong :premises (@p118) :args (@t31)) % 0.16/0.53 (step @p120 :rule trans :premises (@p119 @p112)) % 0.16/0.53 (step @p121 :rule trans :premises (@p120 @p111)) % 0.16/0.53 (step @p122 :rule nary_cong :premises (@p121 @p109) :args (@t32)) % 0.16/0.53 (step @p123 :rule cong :premises (@p122) :args (@t33)) % 0.16/0.53 (step @p124 :rule cong :premises (@p123) :args (@t34)) % 0.16/0.53 (step @p125 :rule trans :premises (@p124 @p31)) % 0.16/0.53 (step @p126 :rule bool-double-not-elim :args (@t34)) % 0.16/0.53 (step @p127 :rule trans :premises (@p126 @p125)) % 0.16/0.53 (step @p128 :rule eq_resolve :premises (@p3 @p127)) % 0.16/0.53 (step @p129 :rule skolemize :premises (@p128)) % 0.16/0.53 (step @p130 :rule bool-double-not-elim :args (@t122)) % 0.16/0.53 (step @p131 :rule refl :args (@t127)) % 0.16/0.53 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or @t127 (not @t123)))) % 0.16/0.53 (step @p133 :rule cnf_or_neg :args (@t127 5)) % 0.16/0.53 (step @p134 :rule eq_resolve :premises (@p133 @p132)) % 0.16/0.53 (step @p135 :rule reordering :premises (@p134) :args ((or @t122 @t127))) % 0.16/0.53 (step @p136 :rule chain_m_resolution :premises (@p135 @p129) :args (@t122 @t128 (@list @t127))) % 0.16/0.53 (step @p137 :rule instantiate :premises (@p136) :args ((@list @t121 @t130))) % 0.16/0.53 (step @p138 :rule instantiate :premises (@p1) :args ((@list @t121))) % 0.16/0.53 (step @p139 :rule cnf_or_pos :args (@t147)) % 0.16/0.53 (step @p140 :rule reordering :premises (@p139) :args ((or @t146 @t144 (not @t147)))) % 0.16/0.53 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p137) :args (@t144 @t148 (@list @t145 @t147))) % 0.16/0.53 (step @p142 :rule cnf_and_pos :args (@t144 1)) % 0.16/0.53 (step @p143 :rule reordering :premises (@p142) :args ((or @t142 (not @t144)))) % 0.16/0.53 (step @p144 :rule chain_m_resolution :premises (@p143 @p141) :args (@t142 @t149 (@list @t144))) % 0.16/0.53 (step @p145 :rule instantiate :premises (@p136) :args ((@list @t121 @t124))) % 0.16/0.53 (step @p146 :rule cnf_or_pos :args (@t153)) % 0.16/0.53 (step @p147 :rule reordering :premises (@p146) :args ((or @t146 @t152 (not @t153)))) % 0.16/0.53 (step @p148 :rule chain_m_resolution :premises (@p147 @p138 @p145) :args (@t152 @t148 (@list @t145 @t153))) % 0.16/0.53 (step @p149 :rule cnf_and_pos :args (@t152 3)) % 0.16/0.53 (step @p150 :rule reordering :premises (@p149) :args ((or @t131 (not @t152)))) % 0.16/0.53 (step @p151 :rule chain_m_resolution :premises (@p150 @p148) :args (@t131 @t149 (@list @t152))) % 0.16/0.53 (step @p152 :rule skolemize :premises (@p151)) % 0.16/0.53 (step @p153 :rule bool-double-not-elim :args (@t140)) % 0.16/0.53 (step @p154 :rule refl :args (@t156)) % 0.16/0.53 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or @t156 (not @t141)))) % 0.16/0.53 (step @p156 :rule cnf_or_neg :args (@t156 0)) % 0.16/0.53 (step @p157 :rule eq_resolve :premises (@p156 @p155)) % 0.16/0.53 (step @p158 :rule reordering :premises (@p157) :args ((or @t140 @t156))) % 0.16/0.53 (step @p159 :rule chain_m_resolution :premises (@p158 @p152) :args (@t140 @t128 @t157)) % 0.16/0.54 (step @p160 :rule cnf_or_pos :args (@t142)) % 0.16/0.54 (step @p161 :rule reordering :premises (@p160) :args ((or @t141 @t139 (not @t142)))) % 0.16/0.54 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p144) :args (@t139 @t148 (@list @t140 @t142))) % 0.16/0.54 (step @p163 :rule cnf_and_pos :args (@t139 0)) % 0.16/0.54 (step @p164 :rule reordering :premises (@p163) :args ((or @t138 @t158))) % 0.16/0.54 (step @p165 :rule chain_m_resolution :premises (@p164 @p162) :args (@t138 @t149 @t159)) % 0.16/0.54 (step @p166 :rule cnf_or_neg :args (@t156 1)) % 0.16/0.54 (step @p167 :rule chain_m_resolution :premises (@p166 @p152) :args ((not @t155) @t128 @t157)) % 0.16/0.54 (step @p168 :rule bool-double-not-elim :args (@t135)) % 0.16/0.54 (step @p169 :rule bool-double-not-elim :args (@t133)) % 0.16/0.54 (step @p170 :rule refl :args (@t155)) % 0.16/0.54 (step @p171 :rule nary_cong :premises (@p170 @p169 @p168) :args ((or @t155 (not @t134) (not @t137)))) % 0.16/0.54 (step @p172 :rule cnf_and_neg :args (@t155)) % 0.16/0.54 (step @p173 :rule eq_resolve :premises (@p172 @p171)) % 0.16/0.54 (step @p174 :rule reordering :premises (@p173) :args ((or @t133 @t135 @t155))) % 0.16/0.54 (step @p175 :rule cnf_and_pos :args (@t139 1)) % 0.16/0.54 (step @p176 :rule reordering :premises (@p175) :args ((or @t136 @t158))) % 0.16/0.54 (step @p177 :rule chain_m_resolution :premises (@p176 @p162) :args (@t136 @t149 @t159)) % 0.16/0.54 (step @p178 :rule cnf_or_pos :args (@t136)) % 0.16/0.54 (step @p179 :rule reordering :premises (@p178) :args ((or @t134 @t135 (not @t136)))) % 0.16/0.54 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p174 @p167) :args (@t135 (@list false false true) (@list @t136 @t133 @t155))) % 0.16/0.54 (step @p181 :rule cnf_or_neg :args (@t156 2)) % 0.16/0.54 (step @p182 :rule chain_m_resolution :premises (@p181 @p152) :args ((not @t154) @t128 @t157)) % 0.16/0.54 (step @p183 :rule cnf_and_neg :args (@t154)) % 0.16/0.54 (step @p184 :rule reordering :premises (@p183) :args ((or @t134 @t137 @t154))) % 0.16/0.54 (step @p185 :rule chain_m_resolution :premises (@p184 @p180 @p182) :args (@t134 (@list false true) (@list @t135 @t154))) % 0.16/0.54 (step @p186 :rule cnf_or_pos :args (@t138)) % 0.16/0.54 (step @p187 :rule reordering :premises (@p186) :args ((or @t133 @t137 (not @t138)))) % 0.16/0.54 (step @p188 false :rule chain_m_resolution :premises (@p187 @p185 @p180 @p165) :args (false (@list true false false) (@list @t133 @t135 @t138))) % 0.16/0.54 ) % 0.16/0.54 % SZS output end Proof % 0.16/0.54 % cvc5 exiting %------------------------------------------------------------------------------