%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL682+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 : n004.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 11:23:34 AM UTC 2026 % Result : Theorem 0.19s 0.48s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL682+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 : n004.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 : Fri Sep 4 16:06:44 UTC 2026 % 0.09/0.35 % CPUTime : % 0.13/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.48 % SZS status Theorem % 0.19/0.48 % SZS output start Proof % 0.19/0.48 ( % 0.19/0.48 (declare-sort $$unsorted 0) % 0.19/0.48 (declare-const tptp.p16 (-> $$unsorted Bool)) % 0.19/0.48 (declare-const tptp.p14 (-> $$unsorted Bool)) % 0.19/0.48 (declare-const tptp.p13 (-> $$unsorted Bool)) % 0.19/0.48 (declare-const tptp.p12 (-> $$unsorted Bool)) % 0.19/0.48 (declare-const tptp.p11 (-> $$unsorted Bool)) % 0.19/0.48 (declare-const tptp.p15 (-> $$unsorted Bool)) % 0.19/0.48 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 0.19/0.48 (define @t1 () (@var "X" $$unsorted)) % 0.19/0.48 (define @t2 () (@list @t1)) % 0.19/0.48 (define @t3 () (@var "Z" $$unsorted)) % 0.19/0.48 (define @t4 () (@var "Y" $$unsorted)) % 0.19/0.48 (define @t5 () (tptp.r1 @t1 @t4)) % 0.19/0.48 (define @t6 () (not (tptp.r1 @t4 @t1))) % 0.19/0.48 (define @t7 () (not @t5)) % 0.19/0.48 (define @t8 () (@list @t4)) % 0.19/0.48 (define @t9 () (forall @t8 (or @t7 (forall @t2 (or @t6 (tptp.p11 @t1)))))) % 0.19/0.48 (define @t10 () (forall @t2 (or @t6 (tptp.p12 @t1)))) % 0.19/0.48 (define @t11 () (forall @t8 (or @t7 @t10))) % 0.19/0.48 (define @t12 () (forall @t8 (or @t7 (forall @t2 (or @t6 (tptp.p13 @t1)))))) % 0.19/0.48 (define @t13 () (forall @t8 (or @t7 (forall @t2 (or @t6 (tptp.p15 @t1)))))) % 0.19/0.48 (define @t14 () (not @t10)) % 0.19/0.48 (define @t15 () (forall @t2 (or @t6 (tptp.p14 @t1)))) % 0.19/0.48 (define @t16 () (not @t15)) % 0.19/0.48 (define @t17 () (forall @t2 (or @t6 (tptp.p16 @t1)))) % 0.19/0.48 (define @t18 () (not @t17)) % 0.19/0.48 (define @t19 () (or @t7 (not (or @t18 @t14 @t16 @t14)))) % 0.19/0.48 (define @t20 () (forall @t8 @t19)) % 0.19/0.48 (define @t21 () (not @t20)) % 0.19/0.48 (define @t22 () (or @t21 @t13 @t12 @t11 @t9)) % 0.19/0.48 (define @t23 () (not @t22)) % 0.19/0.48 (define @t24 () (exists @t2 @t23)) % 0.19/0.48 (define @t25 () (@var "BOUND_VARIABLE_7587" $$unsorted)) % 0.19/0.48 (define @t26 () (tptp.p11 @t25)) % 0.19/0.48 (define @t27 () (@var "BOUND_VARIABLE_7585" $$unsorted)) % 0.19/0.48 (define @t28 () (not (tptp.r1 @t27 @t25))) % 0.19/0.48 (define @t29 () (not (tptp.r1 @t1 @t27))) % 0.19/0.48 (define @t30 () (@var "BOUND_VARIABLE_7577" $$unsorted)) % 0.19/0.48 (define @t31 () (tptp.p12 @t30)) % 0.19/0.48 (define @t32 () (@var "BOUND_VARIABLE_7575" $$unsorted)) % 0.19/0.48 (define @t33 () (not (tptp.r1 @t32 @t30))) % 0.19/0.48 (define @t34 () (not (tptp.r1 @t1 @t32))) % 0.19/0.48 (define @t35 () (@var "BOUND_VARIABLE_7567" $$unsorted)) % 0.19/0.48 (define @t36 () (tptp.p13 @t35)) % 0.19/0.48 (define @t37 () (@var "BOUND_VARIABLE_7565" $$unsorted)) % 0.19/0.48 (define @t38 () (not (tptp.r1 @t37 @t35))) % 0.19/0.48 (define @t39 () (not (tptp.r1 @t1 @t37))) % 0.19/0.48 (define @t40 () (@var "BOUND_VARIABLE_7557" $$unsorted)) % 0.19/0.48 (define @t41 () (tptp.p15 @t40)) % 0.19/0.48 (define @t42 () (@var "BOUND_VARIABLE_7555" $$unsorted)) % 0.19/0.48 (define @t43 () (not (tptp.r1 @t42 @t40))) % 0.19/0.48 (define @t44 () (not (tptp.r1 @t1 @t42))) % 0.19/0.48 (define @t45 () (@var "BOUND_VARIABLE_7493" $$unsorted)) % 0.19/0.48 (define @t46 () (or (not (tptp.r1 @t4 @t45)) (tptp.p14 @t45))) % 0.19/0.48 (define @t47 () (@var "BOUND_VARIABLE_7487" $$unsorted)) % 0.19/0.48 (define @t48 () (or (not (tptp.r1 @t4 @t47)) (tptp.p12 @t47))) % 0.19/0.48 (define @t49 () (@var "BOUND_VARIABLE_7481" $$unsorted)) % 0.19/0.48 (define @t50 () (or (not (tptp.r1 @t4 @t49)) (tptp.p16 @t49))) % 0.19/0.48 (define @t51 () (and @t50 @t48 @t46)) % 0.19/0.48 (define @t52 () (or @t7 @t51)) % 0.19/0.48 (define @t53 () (@list @t4 @t49 @t47 @t45)) % 0.19/0.48 (define @t54 () (forall @t53 @t52)) % 0.19/0.48 (define @t55 () (not @t54)) % 0.19/0.48 (define @t56 () (or @t55 @t44 @t43 @t41 @t39 @t38 @t36 @t34 @t33 @t31 @t29 @t28 @t26)) % 0.19/0.48 (define @t57 () (or @t29 @t28 @t26)) % 0.19/0.48 (define @t58 () (or @t34 @t33 @t31)) % 0.19/0.48 (define @t59 () (or @t39 @t38 @t36)) % 0.19/0.48 (define @t60 () (or @t44 @t43 @t41)) % 0.19/0.48 (define @t61 () (or @t55 @t60 @t59 @t58 @t57)) % 0.19/0.48 (define @t62 () (@list @t1 @t42 @t40 @t37 @t35 @t32 @t30 @t27 @t25)) % 0.19/0.48 (define @t63 () (forall @t62 @t61)) % 0.19/0.48 (define @t64 () (forall (@list @t42 @t40 @t37 @t35 @t32 @t30 @t27 @t25) @t61)) % 0.19/0.48 (define @t65 () (forall (@list @t27 @t25) @t57)) % 0.19/0.48 (define @t66 () (@var "BOUND_VARIABLE_7537" $$unsorted)) % 0.19/0.48 (define @t67 () (forall (@list @t32 @t30) @t58)) % 0.19/0.48 (define @t68 () (@var "BOUND_VARIABLE_7526" $$unsorted)) % 0.19/0.48 (define @t69 () (forall (@list @t37 @t35) @t59)) % 0.19/0.48 (define @t70 () (@var "BOUND_VARIABLE_7515" $$unsorted)) % 0.19/0.48 (define @t71 () (forall (@list @t42 @t40) @t60)) % 0.19/0.48 (define @t72 () (@var "BOUND_VARIABLE_7504" $$unsorted)) % 0.19/0.48 (define @t73 () (or @t55 @t71 @t69 @t67 @t65)) % 0.19/0.48 (define @t74 () (tptp.p11 @t66)) % 0.19/0.48 (define @t75 () (not (tptp.r1 @t4 @t66))) % 0.19/0.48 (define @t76 () (or @t7 @t75 @t74)) % 0.19/0.48 (define @t77 () (@list @t4 @t66)) % 0.19/0.48 (define @t78 () (tptp.p12 @t68)) % 0.19/0.48 (define @t79 () (not (tptp.r1 @t4 @t68))) % 0.19/0.48 (define @t80 () (or @t7 @t79 @t78)) % 0.19/0.48 (define @t81 () (@list @t4 @t68)) % 0.19/0.48 (define @t82 () (tptp.p13 @t70)) % 0.19/0.48 (define @t83 () (not (tptp.r1 @t4 @t70))) % 0.19/0.48 (define @t84 () (or @t7 @t83 @t82)) % 0.19/0.48 (define @t85 () (@list @t4 @t70)) % 0.19/0.48 (define @t86 () (tptp.p15 @t72)) % 0.19/0.48 (define @t87 () (not (tptp.r1 @t4 @t72))) % 0.19/0.48 (define @t88 () (or @t7 @t87 @t86)) % 0.19/0.48 (define @t89 () (@list @t4 @t72)) % 0.19/0.48 (define @t90 () (or @t55 (forall @t89 @t88) (forall @t85 @t84) (forall @t81 @t80) (forall @t77 @t76))) % 0.19/0.48 (define @t91 () (not @t90)) % 0.19/0.48 (define @t92 () (forall @t2 (not @t91))) % 0.19/0.48 (define @t93 () (not @t92)) % 0.19/0.48 (define @t94 () (or @t75 @t74)) % 0.19/0.48 (define @t95 () (or @t7 @t94)) % 0.19/0.48 (define @t96 () (forall @t77 @t95)) % 0.19/0.48 (define @t97 () (@list @t66)) % 0.19/0.48 (define @t98 () (forall @t97 @t95)) % 0.19/0.48 (define @t99 () (forall @t97 @t94)) % 0.19/0.48 (define @t100 () (@list @t1)) % 0.19/0.48 (define @t101 () (or @t7 @t99)) % 0.19/0.48 (define @t102 () (or @t79 @t78)) % 0.19/0.48 (define @t103 () (or @t7 @t102)) % 0.19/0.48 (define @t104 () (forall @t81 @t103)) % 0.19/0.48 (define @t105 () (@list @t68)) % 0.19/0.48 (define @t106 () (forall @t105 @t103)) % 0.19/0.48 (define @t107 () (forall @t105 @t102)) % 0.19/0.48 (define @t108 () (or @t7 @t107)) % 0.19/0.48 (define @t109 () (or @t83 @t82)) % 0.19/0.48 (define @t110 () (or @t7 @t109)) % 0.19/0.48 (define @t111 () (forall @t85 @t110)) % 0.19/0.48 (define @t112 () (@list @t70)) % 0.19/0.48 (define @t113 () (forall @t112 @t110)) % 0.19/0.48 (define @t114 () (forall @t112 @t109)) % 0.19/0.48 (define @t115 () (or @t7 @t114)) % 0.19/0.48 (define @t116 () (or @t87 @t86)) % 0.19/0.48 (define @t117 () (or @t7 @t116)) % 0.19/0.48 (define @t118 () (forall @t89 @t117)) % 0.19/0.48 (define @t119 () (@list @t72)) % 0.19/0.48 (define @t120 () (forall @t119 @t117)) % 0.19/0.48 (define @t121 () (forall @t119 @t116)) % 0.19/0.48 (define @t122 () (or @t7 @t121)) % 0.19/0.48 (define @t123 () (@list @t49 @t47 @t45)) % 0.19/0.48 (define @t124 () (forall @t123 @t52)) % 0.19/0.48 (define @t125 () (forall (@list @t45) @t46)) % 0.19/0.48 (define @t126 () (forall @t123 @t46)) % 0.19/0.48 (define @t127 () (forall (@list @t47) @t48)) % 0.19/0.48 (define @t128 () (forall @t123 @t48)) % 0.19/0.48 (define @t129 () (forall (@list @t49) @t50)) % 0.19/0.48 (define @t130 () (forall @t123 @t50)) % 0.19/0.48 (define @t131 () (and @t130 @t128 @t126)) % 0.19/0.48 (define @t132 () (forall @t123 @t51)) % 0.19/0.48 (define @t133 () (or @t7 @t132)) % 0.19/0.48 (define @t134 () (and @t17 @t10 @t15)) % 0.19/0.48 (define @t135 () (not @t14)) % 0.19/0.48 (define @t136 () (not @t16)) % 0.19/0.48 (define @t137 () (not @t18)) % 0.19/0.48 (define @t138 () (and @t137 @t135 @t136 @t135)) % 0.19/0.48 (define @t139 () (forall @t62 @t56)) % 0.19/0.48 (define @t140 () (@quantifiers_skolemize @t139 5)) % 0.19/0.48 (define @t141 () (@quantifiers_skolemize @t139 0)) % 0.19/0.48 (define @t142 () (tptp.r1 @t141 @t140)) % 0.19/0.48 (define @t143 () (@quantifiers_skolemize @t139 8)) % 0.19/0.48 (define @t144 () (@quantifiers_skolemize @t139 7)) % 0.19/0.48 (define @t145 () (@quantifiers_skolemize @t139 6)) % 0.19/0.48 (define @t146 () (tptp.p12 @t145)) % 0.19/0.48 (define @t147 () (tptp.r1 @t140 @t145)) % 0.19/0.48 (define @t148 () (not @t147)) % 0.19/0.48 (define @t149 () (not @t142)) % 0.19/0.48 (define @t150 () (@quantifiers_skolemize @t139 4)) % 0.19/0.48 (define @t151 () (@quantifiers_skolemize @t139 3)) % 0.19/0.48 (define @t152 () (@quantifiers_skolemize @t139 2)) % 0.19/0.48 (define @t153 () (@quantifiers_skolemize @t139 1)) % 0.19/0.48 (define @t154 () (forall @t53 (or (not (tptp.r1 @t141 @t4)) @t51))) % 0.19/0.48 (define @t155 () (not @t154)) % 0.19/0.48 (define @t156 () (or @t155 (not (tptp.r1 @t141 @t153)) (not (tptp.r1 @t153 @t152)) (tptp.p15 @t152) (not (tptp.r1 @t141 @t151)) (not (tptp.r1 @t151 @t150)) (tptp.p13 @t150) @t149 @t148 @t146 (not (tptp.r1 @t141 @t144)) (not (tptp.r1 @t144 @t143)) (tptp.p11 @t143))) % 0.19/0.48 (define @t157 () (@list true)) % 0.19/0.48 (define @t158 () (@list @t156)) % 0.19/0.48 (define @t159 () (or @t148 @t146)) % 0.19/0.48 (define @t160 () (not @t159)) % 0.19/0.48 (define @t161 () (and (or @t148 (tptp.p16 @t145)) @t159 (or @t148 (tptp.p14 @t145)))) % 0.19/0.48 (define @t162 () (not @t161)) % 0.19/0.48 (define @t163 () (or @t149 @t161)) % 0.19/0.48 (assume @p1 (forall @t2 (tptp.r1 @t1 @t1))) % 0.19/0.48 (assume @p2 (forall (@list @t1 @t4 @t3) (=> (and @t5 (tptp.r1 @t4 @t3)) (tptp.r1 @t1 @t3)))) % 0.19/0.48 (assume @p3 (not (not @t24))) % 0.19/0.48 (assume @p4 true) % 0.19/0.48 (step @p5 :rule aci_norm :args ((= @t61 @t56))) % 0.19/0.48 (step @p6 :rule cong :premises (@p5) :args (@t63)) % 0.19/0.48 (step @p7 :rule quant-merge-prenex :args ((= (forall @t2 @t64) @t63))) % 0.19/0.48 (step @p8 :rule alpha_equiv :args (@t65 (@list @t27 @t25) (@list @t4 @t66))) % 0.19/0.48 (step @p9 :rule alpha_equiv :args (@t67 (@list @t32 @t30) (@list @t4 @t68))) % 0.19/0.48 (step @p10 :rule alpha_equiv :args (@t69 (@list @t37 @t35) (@list @t4 @t70))) % 0.19/0.48 (step @p11 :rule alpha_equiv :args (@t71 (@list @t42 @t40) (@list @t4 @t72))) % 0.19/0.48 (step @p12 :rule refl :args (@t55)) % 0.19/0.48 (step @p13 :rule nary_cong :premises (@p12 @p11 @p10 @p9 @p8) :args (@t73)) % 0.19/0.48 (step @p14 :rule quant-miniscope-or :args ((= @t64 @t73))) % 0.19/0.48 (step @p15 :rule trans :premises (@p14 @p13)) % 0.19/0.48 (step @p16 :rule symm :premises (@p15)) % 0.19/0.48 (step @p17 :rule cong :premises (@p16) :args ((forall @t2 @t90))) % 0.19/0.48 (step @p18 :rule trans :premises (@p17 @p7)) % 0.19/0.48 (step @p19 :rule trans :premises (@p18 @p6)) % 0.19/0.48 (step @p20 :rule bool-double-not-elim :args (@t90)) % 0.19/0.48 (step @p21 :rule cong :premises (@p20) :args (@t92)) % 0.19/0.48 (step @p22 :rule trans :premises (@p21 @p19)) % 0.19/0.48 (step @p23 :rule cong :premises (@p22) :args (@t93)) % 0.19/0.48 (step @p24 :rule exists-elim :args ((= (exists @t2 @t91) @t93))) % 0.19/0.48 (step @p25 :rule trans :premises (@p24 @p23)) % 0.19/0.48 (step @p26 :rule aci_norm :args ((= @t95 @t76))) % 0.19/0.48 (step @p27 :rule cong :premises (@p26) :args (@t96)) % 0.19/0.48 (step @p28 :rule quant-merge-prenex :args ((= (forall @t8 @t98) @t96))) % 0.19/0.48 (step @p29 :rule alpha_equiv :args (@t99 (@list @t66) @t100)) % 0.19/0.48 (step @p30 :rule refl :args (@t7)) % 0.19/0.48 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t101)) % 0.19/0.48 (step @p32 :rule quant-miniscope-or :args ((= @t98 @t101))) % 0.19/0.48 (step @p33 :rule trans :premises (@p32 @p31)) % 0.19/0.48 (step @p34 :rule symm :premises (@p33)) % 0.19/0.48 (step @p35 :rule cong :premises (@p34) :args (@t9)) % 0.19/0.48 (step @p36 :rule trans :premises (@p35 @p28)) % 0.19/0.48 (step @p37 :rule trans :premises (@p36 @p27)) % 0.19/0.48 (step @p38 :rule aci_norm :args ((= @t103 @t80))) % 0.19/0.48 (step @p39 :rule cong :premises (@p38) :args (@t104)) % 0.19/0.48 (step @p40 :rule quant-merge-prenex :args ((= (forall @t8 @t106) @t104))) % 0.19/0.48 (step @p41 :rule alpha_equiv :args (@t107 (@list @t68) @t100)) % 0.19/0.48 (step @p42 :rule nary_cong :premises (@p30 @p41) :args (@t108)) % 0.19/0.48 (step @p43 :rule quant-miniscope-or :args ((= @t106 @t108))) % 0.19/0.48 (step @p44 :rule trans :premises (@p43 @p42)) % 0.19/0.48 (step @p45 :rule symm :premises (@p44)) % 0.19/0.48 (step @p46 :rule cong :premises (@p45) :args (@t11)) % 0.19/0.48 (step @p47 :rule trans :premises (@p46 @p40)) % 0.19/0.48 (step @p48 :rule trans :premises (@p47 @p39)) % 0.19/0.48 (step @p49 :rule aci_norm :args ((= @t110 @t84))) % 0.19/0.48 (step @p50 :rule cong :premises (@p49) :args (@t111)) % 0.19/0.48 (step @p51 :rule quant-merge-prenex :args ((= (forall @t8 @t113) @t111))) % 0.19/0.48 (step @p52 :rule alpha_equiv :args (@t114 (@list @t70) @t100)) % 0.19/0.48 (step @p53 :rule nary_cong :premises (@p30 @p52) :args (@t115)) % 0.19/0.48 (step @p54 :rule quant-miniscope-or :args ((= @t113 @t115))) % 0.19/0.48 (step @p55 :rule trans :premises (@p54 @p53)) % 0.19/0.48 (step @p56 :rule symm :premises (@p55)) % 0.19/0.48 (step @p57 :rule cong :premises (@p56) :args (@t12)) % 0.19/0.48 (step @p58 :rule trans :premises (@p57 @p51)) % 0.19/0.48 (step @p59 :rule trans :premises (@p58 @p50)) % 0.19/0.48 (step @p60 :rule aci_norm :args ((= @t117 @t88))) % 0.19/0.48 (step @p61 :rule cong :premises (@p60) :args (@t118)) % 0.19/0.48 (step @p62 :rule quant-merge-prenex :args ((= (forall @t8 @t120) @t118))) % 0.19/0.48 (step @p63 :rule alpha_equiv :args (@t121 (@list @t72) @t100)) % 0.19/0.48 (step @p64 :rule nary_cong :premises (@p30 @p63) :args (@t122)) % 0.19/0.48 (step @p65 :rule quant-miniscope-or :args ((= @t120 @t122))) % 0.19/0.48 (step @p66 :rule trans :premises (@p65 @p64)) % 0.19/0.48 (step @p67 :rule symm :premises (@p66)) % 0.19/0.48 (step @p68 :rule cong :premises (@p67) :args (@t13)) % 0.19/0.48 (step @p69 :rule trans :premises (@p68 @p62)) % 0.19/0.48 (step @p70 :rule trans :premises (@p69 @p61)) % 0.19/0.48 (step @p71 :rule quant-merge-prenex :args ((= (forall @t8 @t124) @t54))) % 0.19/0.48 (step @p72 :rule alpha_equiv :args (@t125 (@list @t45) @t100)) % 0.19/0.48 (step @p73 :rule quant-unused-vars :args ((= @t126 @t125))) % 0.19/0.48 (step @p74 :rule trans :premises (@p73 @p72)) % 0.19/0.48 (step @p75 :rule alpha_equiv :args (@t127 (@list @t47) @t100)) % 0.19/0.48 (step @p76 :rule quant-unused-vars :args ((= @t128 @t127))) % 0.19/0.48 (step @p77 :rule trans :premises (@p76 @p75)) % 0.19/0.48 (step @p78 :rule alpha_equiv :args (@t129 (@list @t49) @t100)) % 0.19/0.48 (step @p79 :rule quant-unused-vars :args ((= @t130 @t129))) % 0.19/0.48 (step @p80 :rule trans :premises (@p79 @p78)) % 0.19/0.48 (step @p81 :rule nary_cong :premises (@p80 @p77 @p74) :args (@t131)) % 0.19/0.48 (step @p82 :rule quant-miniscope-and :args ((= @t132 @t131))) % 0.19/0.48 (step @p83 :rule trans :premises (@p82 @p81)) % 0.19/0.48 (step @p84 :rule nary_cong :premises (@p30 @p83) :args (@t133)) % 0.19/0.48 (step @p85 :rule quant-miniscope-or :args ((= @t124 @t133))) % 0.19/0.48 (step @p86 :rule trans :premises (@p85 @p84)) % 0.19/0.48 (step @p87 :rule symm :premises (@p86)) % 0.19/0.48 (step @p88 :rule cong :premises (@p87) :args ((forall @t8 (or @t7 @t134)))) % 0.19/0.48 (step @p89 :rule trans :premises (@p88 @p71)) % 0.19/0.48 (step @p90 :rule aci_norm :args ((= (and @t17 @t10 @t15 @t10) @t134))) % 0.19/0.48 (step @p91 :rule bool-double-not-elim :args (@t10)) % 0.19/0.48 (step @p92 :rule bool-double-not-elim :args (@t15)) % 0.19/0.48 (step @p93 :rule bool-double-not-elim :args (@t17)) % 0.19/0.48 (step @p94 :rule nary_cong :premises (@p93 @p91 @p92 @p91) :args (@t138)) % 0.19/0.48 (step @p95 :rule aci_norm :args ((= (and @t137 (and @t135 (and @t136 @t135))) @t138))) % 0.19/0.48 (step @p96 :rule trans :premises (@p95 @p94)) % 0.19/0.48 (step @p97 :rule bool-or-de-morgan :args (@t16 @t14 false)) % 0.19/0.48 (step @p98 :rule refl :args (@t135)) % 0.19/0.48 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((and @t135 (not (or @t16 @t14))))) % 0.19/0.48 (step @p100 :rule bool-or-de-morgan :args (@t14 @t16 (or @t14))) % 0.19/0.48 (step @p101 :rule trans :premises (@p100 @p99)) % 0.19/0.48 (step @p102 :rule refl :args (@t137)) % 0.19/0.48 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((and @t137 (not (or @t14 @t16 @t14))))) % 0.19/0.48 (step @p104 :rule bool-or-de-morgan :args (@t18 @t14 (or @t16 @t14))) % 0.19/0.48 (step @p105 :rule trans :premises (@p104 @p103)) % 0.19/0.48 (step @p106 :rule trans :premises (@p105 @p96)) % 0.19/0.48 (step @p107 :rule trans :premises (@p106 @p90)) % 0.19/0.48 (step @p108 :rule nary_cong :premises (@p30 @p107) :args (@t19)) % 0.19/0.48 (step @p109 :rule cong :premises (@p108) :args (@t20)) % 0.19/0.48 (step @p110 :rule trans :premises (@p109 @p89)) % 0.19/0.48 (step @p111 :rule cong :premises (@p110) :args (@t21)) % 0.19/0.48 (step @p112 :rule nary_cong :premises (@p111 @p70 @p59 @p48 @p37) :args (@t22)) % 0.19/0.48 (step @p113 :rule cong :premises (@p112) :args (@t23)) % 0.19/0.48 (step @p114 :rule cong :premises (@p113) :args (@t24)) % 0.19/0.48 (step @p115 :rule trans :premises (@p114 @p25)) % 0.19/0.48 (step @p116 :rule bool-double-not-elim :args (@t24)) % 0.19/0.48 (step @p117 :rule trans :premises (@p116 @p115)) % 0.19/0.48 (step @p118 :rule eq_resolve :premises (@p3 @p117)) % 0.19/0.48 (step @p119 :rule skolemize :premises (@p118)) % 0.19/0.48 (step @p120 :rule bool-double-not-elim :args (@t142)) % 0.19/0.48 (step @p121 :rule refl :args (@t156)) % 0.19/0.48 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t156 (not @t149)))) % 0.19/0.48 (step @p123 :rule cnf_or_neg :args (@t156 7)) % 0.19/0.48 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.19/0.48 (step @p125 :rule reordering :premises (@p124) :args ((or @t142 @t156))) % 0.19/0.48 (step @p126 :rule chain_m_resolution :premises (@p125 @p119) :args (@t142 @t157 @t158)) % 0.19/0.48 (step @p127 :rule bool-double-not-elim :args (@t154)) % 0.19/0.48 (step @p128 :rule nary_cong :premises (@p121 @p127) :args ((or @t156 (not @t155)))) % 0.19/0.48 (step @p129 :rule cnf_or_neg :args (@t156 0)) % 0.19/0.48 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 0.19/0.48 (step @p131 :rule reordering :premises (@p130) :args ((or @t154 @t156))) % 0.19/0.48 (step @p132 :rule chain_m_resolution :premises (@p131 @p119) :args (@t154 @t157 @t158)) % 0.19/0.48 (step @p133 :rule instantiate :premises (@p132) :args ((@list @t140 @t145 @t145 @t145))) % 0.19/0.48 (step @p134 :rule cnf_or_neg :args (@t156 9)) % 0.19/0.48 (step @p135 :rule chain_m_resolution :premises (@p134 @p119) :args ((not @t146) @t157 @t158)) % 0.19/0.48 (step @p136 :rule bool-double-not-elim :args (@t147)) % 0.19/0.48 (step @p137 :rule nary_cong :premises (@p121 @p136) :args ((or @t156 (not @t148)))) % 0.19/0.48 (step @p138 :rule cnf_or_neg :args (@t156 8)) % 0.19/0.48 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 0.19/0.48 (step @p140 :rule reordering :premises (@p139) :args ((or @t147 @t156))) % 0.19/0.48 (step @p141 :rule chain_m_resolution :premises (@p140 @p119) :args (@t147 @t157 @t158)) % 0.19/0.48 (step @p142 :rule cnf_or_pos :args (@t159)) % 0.19/0.48 (step @p143 :rule reordering :premises (@p142) :args ((or @t148 @t146 @t160))) % 0.19/0.48 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p135) :args (@t160 (@list false true) (@list @t147 @t146))) % 0.19/0.48 (step @p145 :rule cnf_and_pos :args (@t161 1)) % 0.19/0.48 (step @p146 :rule reordering :premises (@p145) :args ((or @t159 @t162))) % 0.19/0.48 (step @p147 :rule chain_m_resolution :premises (@p146 @p144) :args (@t162 @t157 (@list @t159))) % 0.19/0.48 (step @p148 :rule cnf_or_pos :args (@t163)) % 0.19/0.48 (step @p149 :rule reordering :premises (@p148) :args ((or @t149 @t161 (not @t163)))) % 0.19/0.48 (step @p150 false :rule chain_m_resolution :premises (@p149 @p147 @p133 @p126) :args (false (@list true false false) (@list @t161 @t163 @t142))) % 0.19/0.49 ) % 0.19/0.49 % SZS output end Proof % 0.19/0.49 % cvc5 exiting %------------------------------------------------------------------------------