%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU744^2 : TPTP v9.2.1. Released v3.7.0. % 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 : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:53:00 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU744^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.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 17:49:59 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.39/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.binunionTILcontra Bool) % 0.39/0.58 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.setminusER Bool) % 0.39/0.58 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.58 (define @t2 () (@var "Xx" $$unsorted)) % 0.39/0.58 (define @t3 () (_ tptp.in @t2)) % 0.39/0.58 (define @t4 () (_ @t3 @t1)) % 0.39/0.58 (define @t5 () (not @t4)) % 0.39/0.58 (define @t6 () (@var "A" $$unsorted)) % 0.39/0.58 (define @t7 () (_ tptp.setminus @t6)) % 0.39/0.58 (define @t8 () (_ @t7 @t1)) % 0.39/0.58 (define @t9 () (_ @t3 @t8)) % 0.39/0.58 (define @t10 () (@list @t6 @t1 @t2)) % 0.39/0.58 (define @t11 () (forall @t10 (=> @t9 @t5))) % 0.39/0.58 (define @t12 () (= tptp.setminusER @t11)) % 0.39/0.58 (define @t13 () (@var "X" $$unsorted)) % 0.39/0.58 (define @t14 () (_ @t3 @t13)) % 0.39/0.58 (define @t15 () (not @t14)) % 0.39/0.58 (define @t16 () (@var "Y" $$unsorted)) % 0.39/0.58 (define @t17 () (_ (_ tptp.binunion @t13) @t16)) % 0.39/0.58 (define @t18 () (_ @t3 @t17)) % 0.39/0.58 (define @t19 () (not @t18)) % 0.39/0.58 (define @t20 () (=> @t19 @t15)) % 0.39/0.58 (define @t21 () (_ @t3 @t6)) % 0.39/0.58 (define @t22 () (@list @t2)) % 0.39/0.58 (define @t23 () (forall @t22 (=> @t21 @t20))) % 0.39/0.58 (define @t24 () (_ tptp.powerset @t6)) % 0.39/0.58 (define @t25 () (_ tptp.in @t16)) % 0.39/0.58 (define @t26 () (_ @t25 @t24)) % 0.39/0.58 (define @t27 () (=> @t26 @t23)) % 0.39/0.58 (define @t28 () (@list @t16)) % 0.39/0.58 (define @t29 () (forall @t28 @t27)) % 0.39/0.58 (define @t30 () (_ tptp.in @t13)) % 0.39/0.58 (define @t31 () (_ @t30 @t24)) % 0.39/0.58 (define @t32 () (=> @t31 @t29)) % 0.39/0.58 (define @t33 () (@list @t6 @t13)) % 0.39/0.58 (define @t34 () (forall @t33 @t32)) % 0.39/0.58 (define @t35 () (= tptp.binunionTILcontra @t34)) % 0.39/0.58 (define @t36 () (_ @t7 @t17)) % 0.39/0.58 (define @t37 () (_ @t3 @t36)) % 0.39/0.58 (define @t38 () (=> @t37 @t15)) % 0.39/0.58 (define @t39 () (forall @t22 (=> @t21 @t38))) % 0.39/0.58 (define @t40 () (=> @t26 @t39)) % 0.39/0.58 (define @t41 () (forall @t28 @t40)) % 0.39/0.58 (define @t42 () (=> @t31 @t41)) % 0.39/0.58 (define @t43 () (forall @t33 @t42)) % 0.39/0.58 (define @t44 () (=> tptp.binunionTILcontra @t43)) % 0.39/0.58 (define @t45 () (=> tptp.setminusER @t44)) % 0.39/0.58 (define @t46 () (not @t45)) % 0.39/0.58 (define @t47 () (@var "BOUND_VARIABLE_7585" $$unsorted)) % 0.39/0.58 (define @t48 () (not (tptp.in @t47 @t13))) % 0.39/0.58 (define @t49 () (@var "BOUND_VARIABLE_7583" $$unsorted)) % 0.39/0.58 (define @t50 () (not (tptp.in @t47 (tptp.setminus @t6 (tptp.binunion @t13 @t49))))) % 0.39/0.58 (define @t51 () (not (tptp.in @t47 @t6))) % 0.39/0.58 (define @t52 () (tptp.powerset @t6)) % 0.39/0.58 (define @t53 () (not (tptp.in @t49 @t52))) % 0.39/0.58 (define @t54 () (tptp.in @t13 @t52)) % 0.39/0.58 (define @t55 () (not @t54)) % 0.39/0.58 (define @t56 () (or @t55 @t53 @t51 @t50 @t48)) % 0.39/0.58 (define @t57 () (@list @t6 @t13 @t49 @t47)) % 0.39/0.58 (define @t58 () (forall @t57 @t56)) % 0.39/0.58 (define @t59 () (@var "BOUND_VARIABLE_7528" $$unsorted)) % 0.39/0.58 (define @t60 () (not (tptp.in @t59 @t13))) % 0.39/0.58 (define @t61 () (@var "BOUND_VARIABLE_7526" $$unsorted)) % 0.39/0.58 (define @t62 () (tptp.in @t59 (tptp.binunion @t13 @t61))) % 0.39/0.58 (define @t63 () (not (tptp.in @t59 @t6))) % 0.39/0.58 (define @t64 () (not (tptp.in @t61 @t52))) % 0.39/0.58 (define @t65 () (or @t55 @t64 @t63 @t62 @t60)) % 0.39/0.58 (define @t66 () (or @t64 @t63 @t62 @t60)) % 0.39/0.58 (define @t67 () (or @t55 @t66)) % 0.39/0.58 (define @t68 () (@list @t6 @t13 @t61 @t59)) % 0.39/0.58 (define @t69 () (forall @t68 @t67)) % 0.39/0.58 (define @t70 () (@list @t61 @t59)) % 0.39/0.58 (define @t71 () (forall @t70 @t67)) % 0.39/0.58 (define @t72 () (forall @t70 @t66)) % 0.39/0.58 (define @t73 () (@var "BOUND_VARIABLE_7503" $$unsorted)) % 0.39/0.58 (define @t74 () (or @t55 @t72)) % 0.39/0.58 (define @t75 () (not (tptp.in @t73 @t13))) % 0.39/0.58 (define @t76 () (tptp.binunion @t13 @t16)) % 0.39/0.58 (define @t77 () (tptp.in @t73 @t76)) % 0.39/0.58 (define @t78 () (not (tptp.in @t73 @t6))) % 0.39/0.58 (define @t79 () (tptp.in @t16 @t52)) % 0.39/0.58 (define @t80 () (not @t79)) % 0.39/0.58 (define @t81 () (or @t80 @t78 @t77 @t75)) % 0.39/0.58 (define @t82 () (@list @t16 @t73)) % 0.39/0.58 (define @t83 () (forall @t82 @t81)) % 0.39/0.58 (define @t84 () (not @t31)) % 0.39/0.58 (define @t85 () (or @t84 @t83)) % 0.39/0.58 (define @t86 () (or @t78 @t77 @t75)) % 0.39/0.58 (define @t87 () (or @t80 @t86)) % 0.39/0.58 (define @t88 () (forall @t82 @t87)) % 0.39/0.58 (define @t89 () (@list @t73)) % 0.39/0.58 (define @t90 () (forall @t89 @t87)) % 0.39/0.58 (define @t91 () (forall @t89 @t86)) % 0.39/0.58 (define @t92 () (@list @t2)) % 0.39/0.58 (define @t93 () (or @t80 @t91)) % 0.39/0.58 (define @t94 () (tptp.in @t2 @t13)) % 0.39/0.58 (define @t95 () (not @t94)) % 0.39/0.58 (define @t96 () (tptp.in @t2 @t76)) % 0.39/0.58 (define @t97 () (tptp.in @t2 @t6)) % 0.39/0.58 (define @t98 () (not @t97)) % 0.39/0.58 (define @t99 () (forall @t22 (or @t98 @t96 @t95))) % 0.39/0.58 (define @t100 () (not @t26)) % 0.39/0.58 (define @t101 () (or @t100 @t99)) % 0.39/0.58 (define @t102 () (not @t21)) % 0.39/0.58 (define @t103 () (or @t102 @t18 @t15)) % 0.39/0.58 (define @t104 () (=> tptp.binunionTILcontra @t58)) % 0.39/0.58 (define @t105 () (tptp.in @t2 @t1)) % 0.39/0.58 (define @t106 () (tptp.setminus @t6 @t1)) % 0.39/0.58 (define @t107 () (tptp.in @t2 @t106)) % 0.39/0.58 (define @t108 () (not @t9)) % 0.39/0.58 (define @t109 () (or @t108 @t5)) % 0.39/0.58 (define @t110 () (=> tptp.setminusER @t104)) % 0.39/0.58 (define @t111 () (or @t53 @t51 @t50 @t48)) % 0.39/0.58 (define @t112 () (or @t55 @t111)) % 0.39/0.58 (define @t113 () (forall @t57 @t112)) % 0.39/0.58 (define @t114 () (@list @t49 @t47)) % 0.39/0.58 (define @t115 () (forall @t114 @t112)) % 0.39/0.58 (define @t116 () (forall @t114 @t111)) % 0.39/0.58 (define @t117 () (@var "BOUND_VARIABLE_7563" $$unsorted)) % 0.39/0.58 (define @t118 () (or @t55 @t116)) % 0.39/0.58 (define @t119 () (not (tptp.in @t117 @t13))) % 0.39/0.58 (define @t120 () (tptp.setminus @t6 @t76)) % 0.39/0.58 (define @t121 () (not (tptp.in @t117 @t120))) % 0.39/0.58 (define @t122 () (not (tptp.in @t117 @t6))) % 0.39/0.58 (define @t123 () (or @t80 @t122 @t121 @t119)) % 0.39/0.58 (define @t124 () (@list @t16 @t117)) % 0.39/0.58 (define @t125 () (forall @t124 @t123)) % 0.39/0.58 (define @t126 () (or @t84 @t125)) % 0.39/0.58 (define @t127 () (or @t122 @t121 @t119)) % 0.39/0.58 (define @t128 () (or @t80 @t127)) % 0.39/0.58 (define @t129 () (forall @t124 @t128)) % 0.39/0.58 (define @t130 () (@list @t117)) % 0.39/0.58 (define @t131 () (forall @t130 @t128)) % 0.39/0.58 (define @t132 () (forall @t130 @t127)) % 0.39/0.58 (define @t133 () (or @t80 @t132)) % 0.39/0.58 (define @t134 () (tptp.in @t2 @t120)) % 0.39/0.58 (define @t135 () (forall @t22 (or @t98 (not @t134) @t95))) % 0.39/0.58 (define @t136 () (or @t100 @t135)) % 0.39/0.58 (define @t137 () (not @t37)) % 0.39/0.58 (define @t138 () (or @t102 @t137 @t15)) % 0.39/0.58 (define @t139 () (@quantifiers_skolemize @t58 3)) % 0.39/0.58 (define @t140 () (@quantifiers_skolemize @t58 2)) % 0.39/0.58 (define @t141 () (@quantifiers_skolemize @t58 1)) % 0.39/0.58 (define @t142 () (tptp.binunion @t141 @t140)) % 0.39/0.58 (define @t143 () (@quantifiers_skolemize @t58 0)) % 0.39/0.58 (define @t144 () (tptp.in @t139 (tptp.setminus @t143 @t142))) % 0.39/0.58 (define @t145 () (tptp.in @t139 @t141)) % 0.39/0.58 (define @t146 () (not @t145)) % 0.39/0.58 (define @t147 () (not @t144)) % 0.39/0.58 (define @t148 () (tptp.in @t139 @t143)) % 0.39/0.58 (define @t149 () (not @t148)) % 0.39/0.58 (define @t150 () (tptp.powerset @t143)) % 0.39/0.58 (define @t151 () (tptp.in @t140 @t150)) % 0.39/0.58 (define @t152 () (not @t151)) % 0.39/0.58 (define @t153 () (tptp.in @t141 @t150)) % 0.39/0.58 (define @t154 () (not @t153)) % 0.39/0.58 (define @t155 () (or @t154 @t152 @t149 @t147 @t146)) % 0.39/0.58 (define @t156 () (@list true)) % 0.39/0.58 (define @t157 () (@list @t155)) % 0.39/0.58 (define @t158 () (tptp.in @t139 @t142)) % 0.39/0.58 (define @t159 () (not @t158)) % 0.39/0.58 (define @t160 () (or @t147 @t159)) % 0.39/0.58 (define @t161 () (or @t154 @t152 @t149 @t158 @t146)) % 0.39/0.58 (define @t162 () (not @t161)) % 0.39/0.58 (define @t163 () (forall @t68 @t65)) % 0.39/0.58 (assume @p1 @t12) % 0.39/0.58 (assume @p2 @t35) % 0.39/0.58 (assume @p3 @t46) % 0.39/0.58 (assume @p4 true) % 0.39/0.58 (step @p5 :rule refl :args (@t58)) % 0.39/0.58 (step @p6 :rule aci_norm :args ((= @t67 @t65))) % 0.39/0.58 (step @p7 :rule cong :premises (@p6) :args (@t69)) % 0.39/0.58 (step @p8 :rule quant-merge-prenex :args ((= (forall @t33 @t71) @t69))) % 0.39/0.58 (step @p9 :rule alpha_equiv :args (@t72 (@list @t61 @t59) (@list @t16 @t73))) % 0.39/0.58 (step @p10 :rule refl :args (@t55)) % 0.39/0.58 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t74)) % 0.39/0.58 (step @p12 :rule quant-miniscope-or :args ((= @t71 @t74))) % 0.39/0.58 (step @p13 :rule trans :premises (@p12 @p11)) % 0.39/0.58 (step @p14 :rule symm :premises (@p13)) % 0.39/0.58 (step @p15 :rule cong :premises (@p14) :args ((forall @t33 (or @t55 @t83)))) % 0.39/0.58 (step @p16 :rule trans :premises (@p15 @p8)) % 0.39/0.58 (step @p17 :rule trans :premises (@p16 @p7)) % 0.39/0.58 (step @p18 :rule refl :args (@t83)) % 0.39/0.58 (step @p19 :rule refl :args ((tptp.in @t13 @t24))) % 0.39/0.58 (step @p20 :rule refl :args (@t52)) % 0.39/0.58 (step @p21 :rule refl :args (@t13)) % 0.39/0.58 (step @p22 :rule cong :premises (@p21 @p20) :args (@t54)) % 0.39/0.58 (step @p23 :rule trans :premises (@p22 @p19)) % 0.39/0.58 (step @p24 :rule refl :args (@t30)) % 0.39/0.58 (step @p25 :rule ho_cong :premises (@p24 @p20)) % 0.39/0.58 (step @p26 :rule cong :premises (@p25 @p23) :args ((= (_ @t30 @t52) @t54))) % 0.39/0.58 (step @p27 :rule symm :premises (@p26)) % 0.39/0.58 (step @p28 :rule refl :args (@t31)) % 0.39/0.58 (step @p29 :rule eq_resolve :premises (@p28 @p27)) % 0.39/0.58 (step @p30 :rule refl :args (@t24)) % 0.39/0.58 (step @p31 :rule cong :premises (@p30 @p20) :args ((= @t24 @t52))) % 0.39/0.58 (step @p32 :rule symm :premises (@p31)) % 0.39/0.58 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.39/0.58 (step @p34 :rule ho_cong :premises (@p24 @p33)) % 0.39/0.58 (step @p35 :rule trans :premises (@p34 @p29)) % 0.39/0.58 (step @p36 :rule cong :premises (@p35) :args (@t84)) % 0.39/0.58 (step @p37 :rule nary_cong :premises (@p36 @p18) :args (@t85)) % 0.39/0.58 (step @p38 :rule cong :premises (@p37) :args ((forall @t33 @t85))) % 0.39/0.58 (step @p39 :rule trans :premises (@p38 @p17)) % 0.39/0.58 (step @p40 :rule bool-impl-elim :args (@t31 @t83)) % 0.39/0.58 (step @p41 :rule cong :premises (@p40) :args ((forall @t33 (=> @t31 @t83)))) % 0.39/0.58 (step @p42 :rule trans :premises (@p41 @p39)) % 0.39/0.58 (step @p43 :rule aci_norm :args ((= @t87 @t81))) % 0.39/0.58 (step @p44 :rule cong :premises (@p43) :args (@t88)) % 0.39/0.58 (step @p45 :rule quant-merge-prenex :args ((= (forall @t28 @t90) @t88))) % 0.39/0.58 (step @p46 :rule alpha_equiv :args (@t91 (@list @t73) @t92)) % 0.39/0.58 (step @p47 :rule refl :args (@t80)) % 0.39/0.58 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t93)) % 0.39/0.58 (step @p49 :rule quant-miniscope-or :args ((= @t90 @t93))) % 0.39/0.58 (step @p50 :rule trans :premises (@p49 @p48)) % 0.39/0.58 (step @p51 :rule symm :premises (@p50)) % 0.39/0.58 (step @p52 :rule cong :premises (@p51) :args ((forall @t28 (or @t80 @t99)))) % 0.39/0.58 (step @p53 :rule trans :premises (@p52 @p45)) % 0.39/0.58 (step @p54 :rule trans :premises (@p53 @p44)) % 0.39/0.58 (step @p55 :rule refl :args (@t99)) % 0.39/0.58 (step @p56 :rule refl :args ((tptp.in @t16 @t24))) % 0.39/0.58 (step @p57 :rule refl :args (@t16)) % 0.39/0.58 (step @p58 :rule cong :premises (@p57 @p20) :args (@t79)) % 0.39/0.58 (step @p59 :rule trans :premises (@p58 @p56)) % 0.39/0.58 (step @p60 :rule refl :args (@t25)) % 0.39/0.58 (step @p61 :rule ho_cong :premises (@p60 @p20)) % 0.39/0.58 (step @p62 :rule cong :premises (@p61 @p59) :args ((= (_ @t25 @t52) @t79))) % 0.39/0.58 (step @p63 :rule symm :premises (@p62)) % 0.39/0.58 (step @p64 :rule refl :args (@t26)) % 0.39/0.58 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.39/0.58 (step @p66 :rule ho_cong :premises (@p60 @p33)) % 0.39/0.58 (step @p67 :rule trans :premises (@p66 @p65)) % 0.39/0.58 (step @p68 :rule cong :premises (@p67) :args (@t100)) % 0.39/0.58 (step @p69 :rule nary_cong :premises (@p68 @p55) :args (@t101)) % 0.39/0.58 (step @p70 :rule cong :premises (@p69) :args ((forall @t28 @t101))) % 0.39/0.58 (step @p71 :rule trans :premises (@p70 @p54)) % 0.39/0.58 (step @p72 :rule bool-impl-elim :args (@t26 @t99)) % 0.39/0.58 (step @p73 :rule cong :premises (@p72) :args ((forall @t28 (=> @t26 @t99)))) % 0.39/0.58 (step @p74 :rule trans :premises (@p73 @p71)) % 0.39/0.58 (step @p75 :rule refl :args (@t94)) % 0.39/0.58 (step @p76 :rule refl :args (@t14)) % 0.39/0.58 (step @p77 :rule cong :premises (@p76 @p75) :args ((= @t14 @t94))) % 0.39/0.58 (step @p78 :rule symm :premises (@p77)) % 0.39/0.58 (step @p79 :rule eq_resolve :premises (@p76 @p78)) % 0.39/0.58 (step @p80 :rule cong :premises (@p79) :args (@t15)) % 0.39/0.58 (step @p81 :rule refl :args ((tptp.in @t2 @t17))) % 0.39/0.58 (step @p82 :rule refl :args (@t76)) % 0.39/0.58 (step @p83 :rule refl :args (@t2)) % 0.39/0.58 (step @p84 :rule cong :premises (@p83 @p82) :args (@t96)) % 0.39/0.58 (step @p85 :rule trans :premises (@p84 @p81)) % 0.39/0.58 (step @p86 :rule refl :args (@t3)) % 0.39/0.58 (step @p87 :rule ho_cong :premises (@p86 @p82)) % 0.39/0.58 (step @p88 :rule cong :premises (@p87 @p85) :args ((= (_ @t3 @t76) @t96))) % 0.39/0.58 (step @p89 :rule symm :premises (@p88)) % 0.39/0.58 (step @p90 :rule refl :args (@t18)) % 0.39/0.58 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.39/0.58 (step @p92 :rule refl :args (@t17)) % 0.39/0.58 (step @p93 :rule cong :premises (@p92 @p82) :args ((= @t17 @t76))) % 0.39/0.58 (step @p94 :rule symm :premises (@p93)) % 0.39/0.58 (step @p95 :rule eq_resolve :premises (@p92 @p94)) % 0.39/0.58 (step @p96 :rule ho_cong :premises (@p86 @p95)) % 0.39/0.58 (step @p97 :rule trans :premises (@p96 @p91)) % 0.39/0.58 (step @p98 :rule refl :args (@t97)) % 0.39/0.58 (step @p99 :rule refl :args (@t21)) % 0.39/0.58 (step @p100 :rule cong :premises (@p99 @p98) :args ((= @t21 @t97))) % 0.39/0.58 (step @p101 :rule symm :premises (@p100)) % 0.39/0.58 (step @p102 :rule eq_resolve :premises (@p99 @p101)) % 0.39/0.58 (step @p103 :rule cong :premises (@p102) :args (@t102)) % 0.39/0.58 (step @p104 :rule nary_cong :premises (@p103 @p97 @p80) :args (@t103)) % 0.39/0.58 (step @p105 :rule cong :premises (@p104) :args ((forall @t22 @t103))) % 0.39/0.58 (step @p106 :rule aci_norm :args ((= (or @t102 (or @t18 @t15)) @t103))) % 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(step @p138 :rule refl :args (@t106)) % 0.39/0.58 (step @p139 :rule cong :premises (@p83 @p138) :args (@t107)) % 0.39/0.58 (step @p140 :rule trans :premises (@p139 @p137)) % 0.39/0.58 (step @p141 :rule ho_cong :premises (@p86 @p138)) % 0.39/0.58 (step @p142 :rule cong :premises (@p141 @p140) :args ((= (_ @t3 @t106) @t107))) % 0.39/0.58 (step @p143 :rule symm :premises (@p142)) % 0.39/0.58 (step @p144 :rule refl :args (@t9)) % 0.39/0.58 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.39/0.58 (step @p146 :rule refl :args (@t8)) % 0.39/0.58 (step @p147 :rule cong :premises (@p146 @p138) :args ((= @t8 @t106))) % 0.39/0.58 (step @p148 :rule symm :premises (@p147)) % 0.39/0.58 (step @p149 :rule eq_resolve :premises (@p146 @p148)) % 0.39/0.58 (step @p150 :rule ho_cong :premises (@p86 @p149)) % 0.39/0.58 (step @p151 :rule trans :premises (@p150 @p145)) % 0.39/0.58 (step @p152 :rule cong :premises (@p151) :args (@t108)) % 0.39/0.58 (step @p153 :rule nary_cong :premises (@p152 @p136) 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@p241 :rule trans :premises (@p240 @p162)) % 0.39/0.58 (step @p242 :rule eq_resolve :premises (@p3 @p241)) % 0.39/0.58 (step @p243 :rule not_implies_elim2 :premises (@p242)) % 0.39/0.58 (step @p244 :rule not_implies_elim1 :premises (@p243)) % 0.39/0.58 (step @p245 :rule not_implies_elim1 :premises (@p242)) % 0.39/0.58 (step @p246 :rule instantiate :premises (@p245) :args ((@list @t143 @t142 @t139))) % 0.39/0.58 (step @p247 :rule not_implies_elim2 :premises (@p243)) % 0.39/0.58 (step @p248 :rule skolemize :premises (@p247)) % 0.39/0.58 (step @p249 :rule bool-double-not-elim :args (@t144)) % 0.39/0.58 (step @p250 :rule refl :args (@t155)) % 0.39/0.58 (step @p251 :rule nary_cong :premises (@p250 @p249) :args ((or @t155 (not @t147)))) % 0.39/0.58 (step @p252 :rule cnf_or_neg :args (@t155 3)) % 0.39/0.58 (step @p253 :rule eq_resolve :premises (@p252 @p251)) % 0.39/0.58 (step @p254 :rule reordering :premises (@p253) :args ((or @t144 @t155))) % 0.39/0.58 (step @p255 :rule chain_m_resolution :premises (@p254 @p248) :args (@t144 @t156 @t157)) % 0.39/0.58 (step @p256 :rule cnf_or_pos :args (@t160)) % 0.39/0.58 (step @p257 :rule reordering :premises (@p256) :args ((or @t147 @t159 (not @t160)))) % 0.39/0.58 (step @p258 :rule chain_m_resolution :premises (@p257 @p255 @p246) :args (@t159 (@list false false) (@list @t144 @t160))) % 0.39/0.59 (step @p259 :rule bool-double-not-elim :args (@t145)) % 0.39/0.59 (step @p260 :rule nary_cong :premises (@p250 @p259) :args ((or @t155 (not @t146)))) % 0.39/0.59 (step @p261 :rule cnf_or_neg :args (@t155 4)) % 0.39/0.59 (step @p262 :rule eq_resolve :premises (@p261 @p260)) % 0.39/0.59 (step @p263 :rule reordering :premises (@p262) :args ((or @t145 @t155))) % 0.39/0.59 (step @p264 :rule chain_m_resolution :premises (@p263 @p248) :args (@t145 @t156 @t157)) % 0.39/0.59 (step @p265 :rule bool-double-not-elim :args (@t148)) % 0.39/0.59 (step @p266 :rule nary_cong :premises (@p250 @p265) :args ((or @t155 (not @t149)))) % 0.39/0.59 (step @p267 :rule cnf_or_neg :args (@t155 2)) % 0.39/0.59 (step @p268 :rule eq_resolve :premises (@p267 @p266)) % 0.39/0.59 (step @p269 :rule reordering :premises (@p268) :args ((or @t148 @t155))) % 0.39/0.59 (step @p270 :rule chain_m_resolution :premises (@p269 @p248) :args (@t148 @t156 @t157)) % 0.39/0.59 (step @p271 :rule bool-double-not-elim :args (@t151)) % 0.39/0.59 (step @p272 :rule nary_cong :premises (@p250 @p271) :args ((or @t155 (not @t152)))) % 0.39/0.59 (step @p273 :rule cnf_or_neg :args (@t155 1)) % 0.39/0.59 (step @p274 :rule eq_resolve :premises (@p273 @p272)) % 0.39/0.59 (step @p275 :rule reordering :premises (@p274) :args ((or @t151 @t155))) % 0.39/0.59 (step @p276 :rule chain_m_resolution :premises (@p275 @p248) :args (@t151 @t156 @t157)) % 0.39/0.59 (step @p277 :rule bool-double-not-elim :args (@t153)) % 0.39/0.59 (step @p278 :rule nary_cong :premises (@p250 @p277) :args ((or @t155 (not @t154)))) % 0.39/0.59 (step @p279 :rule cnf_or_neg :args (@t155 0)) % 0.39/0.59 (step @p280 :rule eq_resolve :premises (@p279 @p278)) % 0.39/0.59 (step @p281 :rule reordering :premises (@p280) :args ((or @t153 @t155))) % 0.39/0.59 (step @p282 :rule chain_m_resolution :premises (@p281 @p248) :args (@t153 @t156 @t157)) % 0.39/0.59 (step @p283 :rule cnf_or_pos :args (@t161)) % 0.39/0.59 (step @p284 :rule reordering :premises (@p283) :args ((or @t154 @t152 @t149 @t146 @t158 @t162))) % 0.39/0.59 (step @p285 :rule chain_m_resolution :premises (@p284 @p282 @p276 @p270 @p264 @p258) :args (@t162 (@list false false false false true) (@list @t153 @t151 @t148 @t145 @t158))) % 0.39/0.59 (assume-push @p292 @t163) % 0.39/0.59 (step @p287 :rule instantiate :premises (@p244) :args ((@list @t143 @t141 @t140 @t139))) % 0.39/0.59 (step-pop @p293 :rule scope :premises (@p287)) % 0.39/0.59 (step @p288 :rule process_scope :premises (@p293) :args (@t161)) % 0.39/0.59 (step @p290 :rule implies_elim :premises (@p288)) % 0.39/0.59 (step @p291 false :rule chain_m_resolution :premises (@p290 @p285 @p244) :args (false (@list true false) (@list @t161 @t163))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------