%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU777^2 : 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 : n012.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 08:53:09 AM UTC 2026 % Result : Theorem 0.16s 0.38s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU777^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 17:51:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.33 %----Proving TH0 % 0.16/0.38 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.16/0.38 % SZS status Theorem % 0.16/0.38 % SZS output start Proof % 0.16/0.38 ( % 0.16/0.38 (declare-sort $$unsorted 0) % 0.16/0.38 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.38 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.16/0.38 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.38 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.16/0.38 (declare-const tptp.dpsetconstr (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted)) % 0.16/0.38 (declare-const tptp.dpsetconstrER Bool) % 0.16/0.38 (define tptp.breln () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (let ((_let_3 (@var "C" $$unsorted))) (lambda (@list _let_2 _let_1 _let_3) (_ (_ tptp.subset _let_3) (_ (_ tptp.cartprod _let_2) _let_1))))))) % 0.16/0.38 (define tptp.breln1 () (let ((_let_1 (@var "R" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.breln _let_2) _let_2) _let_1))))) % 0.16/0.38 (define tptp.breln1invset () (let ((_let_1 (@var "R" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xy" $$unsorted))) (let ((_let_4 (@var "A" $$unsorted))) (lambda (@list _let_4 _let_1) (_ (_ (_ tptp.dpsetconstr _let_4) _let_4) (lambda (@list _let_2 _let_3) (_ (_ tptp.in (_ (_ tptp.kpair _let_3) _let_2)) _let_1))))))))) % 0.16/0.38 (define @t1 () (@var "Xy" $$unsorted)) % 0.16/0.38 (define @t2 () (@var "Xx" $$unsorted)) % 0.16/0.38 (define @t3 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.16/0.38 (define @t4 () (_ (_ @t3 @t2) @t1)) % 0.16/0.38 (define @t5 () (@var "Xu" $$unsorted)) % 0.16/0.38 (define @t6 () (@var "Xz" $$unsorted)) % 0.16/0.38 (define @t7 () (_ (_ @t3 @t6) @t5)) % 0.16/0.38 (define @t8 () (@list @t6 @t5)) % 0.16/0.38 (define @t9 () (lambda @t8 @t7)) % 0.16/0.38 (define @t10 () (@var "B" $$unsorted)) % 0.16/0.38 (define @t11 () (@var "A" $$unsorted)) % 0.16/0.38 (define @t12 () (_ tptp.dpsetconstr @t11)) % 0.16/0.38 (define @t13 () (_ @t12 @t10)) % 0.16/0.38 (define @t14 () (_ @t13 @t9)) % 0.16/0.38 (define @t15 () (_ (_ tptp.kpair @t2) @t1)) % 0.16/0.38 (define @t16 () (_ tptp.in @t15)) % 0.16/0.38 (define @t17 () (_ @t16 @t14)) % 0.16/0.38 (define @t18 () (@list @t11 @t10 @t3 @t2 @t1)) % 0.16/0.38 (define @t19 () (forall @t18 (=> @t17 @t4))) % 0.16/0.38 (define @t20 () (= tptp.dpsetconstrER @t19)) % 0.16/0.38 (define @t21 () (@var "R" $$unsorted)) % 0.16/0.38 (define @t22 () (_ @t16 @t21)) % 0.16/0.38 (define @t23 () (_ (_ tptp.kpair @t1) @t2)) % 0.16/0.38 (define @t24 () (_ tptp.in @t23)) % 0.16/0.38 (define @t25 () (=> (_ @t24 (_ (_ tptp.breln1invset @t11) @t21)) @t22)) % 0.16/0.38 (define @t26 () (_ (_ tptp.in @t1) @t11)) % 0.16/0.38 (define @t27 () (=> @t26 @t25)) % 0.16/0.38 (define @t28 () (@list @t1)) % 0.16/0.38 (define @t29 () (forall @t28 @t27)) % 0.16/0.38 (define @t30 () (_ (_ tptp.in @t2) @t11)) % 0.16/0.38 (define @t31 () (=> @t30 @t29)) % 0.16/0.38 (define @t32 () (@list @t2)) % 0.16/0.38 (define @t33 () (forall @t32 @t31)) % 0.16/0.38 (define @t34 () (=> (_ (_ tptp.breln1 @t11) @t21) @t33)) % 0.16/0.38 (define @t35 () (@list @t11 @t21)) % 0.16/0.38 (define @t36 () (forall @t35 @t34)) % 0.16/0.38 (define @t37 () (=> tptp.dpsetconstrER @t36)) % 0.16/0.38 (define @t38 () (not @t37)) % 0.16/0.38 (define @t39 () (_ tptp.cartprod @t11)) % 0.16/0.38 (define @t40 () (@var "C" $$unsorted)) % 0.16/0.38 (define @t41 () (_ tptp.subset @t40)) % 0.16/0.38 (define @t42 () (_ @t41 (_ @t39 @t10))) % 0.16/0.38 (define @t43 () (lambda (@list @t11 @t10 @t40) @t42)) % 0.16/0.38 (define @t44 () (lambda @t35 (_ (_ (_ tptp.breln @t11) @t11) @t21))) % 0.16/0.38 (define @t45 () (lambda (@list @t2 @t1) (_ @t24 @t21))) % 0.16/0.38 (define @t46 () (_ @t12 @t11)) % 0.16/0.38 (define @t47 () (_ @t46 @t45)) % 0.16/0.38 (define @t48 () (lambda @t35 @t47)) % 0.16/0.38 (define @t49 () (@var "BOUND_VARIABLE_7664" $$unsorted)) % 0.16/0.38 (define @t50 () (@var "BOUND_VARIABLE_7662" $$unsorted)) % 0.16/0.38 (define @t51 () (tptp.in (tptp.kpair @t50 @t49) @t21)) % 0.16/0.38 (define @t52 () (@var "BOUND_VARIABLE_7615" $$unsorted)) % 0.16/0.38 (define @t53 () (@var "BOUND_VARIABLE_7574" $$unsorted)) % 0.16/0.38 (define @t54 () (tptp.kpair @t53 @t52)) % 0.16/0.38 (define @t55 () (@list @t52 @t53)) % 0.16/0.38 (define @t56 () (tptp.dpsetconstr @t11 @t11 (lambda @t55 (tptp.in @t54 @t21)))) % 0.16/0.38 (define @t57 () (not (tptp.in (tptp.kpair @t49 @t50) @t56))) % 0.16/0.38 (define @t58 () (not (tptp.in @t49 @t11))) % 0.16/0.38 (define @t59 () (not (tptp.in @t50 @t11))) % 0.16/0.38 (define @t60 () (tptp.cartprod @t11 @t11)) % 0.16/0.38 (define @t61 () (tptp.subset @t21 @t60)) % 0.16/0.38 (define @t62 () (not @t61)) % 0.16/0.38 (define @t63 () (or @t62 @t59 @t58 @t57 @t51)) % 0.16/0.38 (define @t64 () (@list @t11 @t21 @t50 @t49)) % 0.16/0.38 (define @t65 () (forall @t64 @t63)) % 0.16/0.38 (define @t66 () (_ @t3 @t2 @t1)) % 0.16/0.38 (define @t67 () (_ @t3 @t6 @t5)) % 0.16/0.38 (define @t68 () (lambda @t8 @t67)) % 0.16/0.38 (define @t69 () (tptp.dpsetconstr @t11 @t10 @t68)) % 0.16/0.38 (define @t70 () (tptp.kpair @t2 @t1)) % 0.16/0.38 (define @t71 () (tptp.in @t70 @t69)) % 0.16/0.38 (define @t72 () (not @t71)) % 0.16/0.38 (define @t73 () (or @t72 @t66)) % 0.16/0.38 (define @t74 () (_ tptp.in @t70)) % 0.16/0.38 (define @t75 () (not @t17)) % 0.16/0.38 (define @t76 () (or @t75 @t4)) % 0.16/0.38 (define @t77 () (=> tptp.dpsetconstrER @t65)) % 0.16/0.38 (define @t78 () (or @t59 @t58 @t57 @t51)) % 0.16/0.38 (define @t79 () (or @t62 @t78)) % 0.16/0.38 (define @t80 () (forall @t64 @t79)) % 0.16/0.38 (define @t81 () (@list @t50 @t49)) % 0.16/0.38 (define @t82 () (forall @t81 @t79)) % 0.16/0.38 (define @t83 () (forall @t81 @t78)) % 0.16/0.38 (define @t84 () (@var "BOUND_VARIABLE_7636" $$unsorted)) % 0.16/0.38 (define @t85 () (or @t62 @t83)) % 0.16/0.38 (define @t86 () (tptp.in (tptp.kpair @t2 @t84) @t21)) % 0.16/0.38 (define @t87 () (not (tptp.in (tptp.kpair @t84 @t2) @t56))) % 0.16/0.38 (define @t88 () (not (tptp.in @t84 @t11))) % 0.16/0.38 (define @t89 () (tptp.in @t2 @t11)) % 0.16/0.38 (define @t90 () (not @t89)) % 0.16/0.38 (define @t91 () (or @t90 @t88 @t87 @t86)) % 0.16/0.38 (define @t92 () (@list @t2 @t84)) % 0.16/0.38 (define @t93 () (forall @t92 @t91)) % 0.16/0.38 (define @t94 () (_ @t39 @t11)) % 0.16/0.38 (define @t95 () (_ tptp.subset @t21)) % 0.16/0.38 (define @t96 () (_ @t95 @t94)) % 0.16/0.38 (define @t97 () (not @t96)) % 0.16/0.38 (define @t98 () (or @t97 @t93)) % 0.16/0.38 (define @t99 () (or @t88 @t87 @t86)) % 0.16/0.38 (define @t100 () (or @t90 @t99)) % 0.16/0.38 (define @t101 () (forall @t92 @t100)) % 0.16/0.38 (define @t102 () (@list @t84)) % 0.16/0.38 (define @t103 () (forall @t102 @t100)) % 0.16/0.38 (define @t104 () (forall @t102 @t99)) % 0.16/0.38 (define @t105 () (@list @t1)) % 0.16/0.38 (define @t106 () (or @t90 @t104)) % 0.16/0.38 (define @t107 () (tptp.in @t70 @t21)) % 0.16/0.38 (define @t108 () (tptp.kpair @t1 @t2)) % 0.16/0.38 (define @t109 () (tptp.in @t1 @t11)) % 0.16/0.38 (define @t110 () (not @t109)) % 0.16/0.38 (define @t111 () (forall @t28 (or @t110 (not (tptp.in @t108 @t56)) @t107))) % 0.16/0.38 (define @t112 () (not @t30)) % 0.16/0.38 (define @t113 () (or @t112 @t111)) % 0.16/0.38 (define @t114 () (tptp.kpair @t53 @t2)) % 0.16/0.38 (define @t115 () (tptp.in @t114 @t21)) % 0.16/0.38 (define @t116 () (@list @t2 @t53)) % 0.16/0.38 (define @t117 () (lambda @t116 @t115)) % 0.16/0.38 (define @t118 () (tptp.dpsetconstr @t11 @t11 @t117)) % 0.16/0.38 (define @t119 () (tptp.in @t108 @t118)) % 0.16/0.38 (define @t120 () (not @t119)) % 0.16/0.38 (define @t121 () (or @t110 @t120 @t107)) % 0.16/0.38 (define @t122 () (forall @t28 @t121)) % 0.16/0.38 (define @t123 () (=> @t30 @t122)) % 0.16/0.38 (define @t124 () (_ (_ tptp.kpair @t53) @t2)) % 0.16/0.38 (define @t125 () (_ (_ tptp.in @t124) @t21)) % 0.16/0.38 (define @t126 () (lambda @t116 @t125)) % 0.16/0.38 (define @t127 () (_ @t46 @t126)) % 0.16/0.38 (define @t128 () (_ @t24 @t127)) % 0.16/0.38 (define @t129 () (not @t128)) % 0.16/0.38 (define @t130 () (not @t26)) % 0.16/0.38 (define @t131 () (or @t130 @t129 @t22)) % 0.16/0.38 (define @t132 () (=> @t128 @t22)) % 0.16/0.38 (define @t133 () (=> (_ @t24 @t47) @t22)) % 0.16/0.38 (define @t134 () (=> @t26 @t133)) % 0.16/0.38 (define @t135 () (@list @t21)) % 0.16/0.38 (define @t136 () (lambda @t135 @t47)) % 0.16/0.38 (define @t137 () (_ @t48 @t11)) % 0.16/0.38 (define @t138 () (=> (_ @t24 (_ @t137 @t21)) @t22)) % 0.16/0.38 (define @t139 () (=> @t26 @t138)) % 0.16/0.38 (define @t140 () (forall @t28 @t139)) % 0.16/0.38 (define @t141 () (=> @t30 @t140)) % 0.16/0.38 (define @t142 () (forall @t32 @t141)) % 0.16/0.38 (define @t143 () (lambda @t135 @t96)) % 0.16/0.38 (define @t144 () (_ (lambda @t35 @t96) @t11)) % 0.16/0.38 (define @t145 () (=> (_ @t144 @t21) @t142)) % 0.16/0.38 (define @t146 () (forall @t35 @t145)) % 0.16/0.38 (define @t147 () (=> tptp.dpsetconstrER @t146)) % 0.16/0.38 (define @t148 () (lambda (@list @t40) (_ @t41 @t94))) % 0.16/0.38 (define @t149 () (lambda (@list @t10 @t40) @t42)) % 0.16/0.38 (define @t150 () (@quantifiers_skolemize @t65 1)) % 0.16/0.38 (define @t151 () (@quantifiers_skolemize @t65 3)) % 0.16/0.38 (define @t152 () (@quantifiers_skolemize @t65 2)) % 0.16/0.38 (define @t153 () (tptp.in (tptp.kpair @t152 @t151) @t150)) % 0.16/0.38 (define @t154 () (tptp.in @t54 @t150)) % 0.16/0.38 (define @t155 () (lambda @t55 @t154)) % 0.16/0.38 (define @t156 () (@purify @t155)) % 0.16/0.38 (define @t157 () (@quantifiers_skolemize @t65 0)) % 0.16/0.38 (define @t158 () (tptp.kpair @t151 @t152)) % 0.16/0.38 (define @t159 () (tptp.in @t158 (tptp.dpsetconstr @t157 @t157 @t156))) % 0.16/0.38 (define @t160 () (not @t159)) % 0.16/0.38 (define @t161 () (not (tptp.in @t151 @t157))) % 0.16/0.38 (define @t162 () (not (tptp.in @t152 @t157))) % 0.16/0.38 (define @t163 () (not (tptp.subset @t150 (tptp.cartprod @t157 @t157)))) % 0.16/0.38 (define @t164 () (or @t163 @t162 @t161 @t160 @t153)) % 0.16/0.38 (define @t165 () (not @t164)) % 0.16/0.38 (define @t166 () (not @t65)) % 0.16/0.38 (define @t167 () (tptp.dpsetconstr @t157 @t157 @t155)) % 0.16/0.38 (define @t168 () (tptp.in @t158 @t167)) % 0.16/0.38 (define @t169 () (not @t168)) % 0.16/0.38 (define @t170 () (or @t163 @t162 @t161 @t169 @t153)) % 0.16/0.38 (define @t171 () (not @t170)) % 0.16/0.38 (define @t172 () (@list true)) % 0.16/0.38 (define @t173 () (@list @t164)) % 0.16/0.38 (define @t174 () (_ @t156 @t52 @t53)) % 0.16/0.38 (define @t175 () (_ @t155 @t52 @t53)) % 0.16/0.38 (define @t176 () (= @t174 @t175)) % 0.16/0.38 (define @t177 () (forall @t55 @t176)) % 0.16/0.38 (define @t178 () (_ @t156 @t151 @t152)) % 0.16/0.38 (define @t179 () (or @t160 @t178)) % 0.16/0.38 (define @t180 () (= @t153 @t178)) % 0.16/0.38 (assume @p1 @t20) % 0.16/0.38 (assume @p2 @t38) % 0.16/0.38 (assume @p3 true) % 0.16/0.38 (step @p4 (= tptp.breln @t43) :rule refl :args (@t43)) % 0.16/0.38 (step @p5 (= tptp.breln1 @t44) :rule refl :args (@t44)) % 0.16/0.38 (step @p6 (= tptp.breln1invset @t48) :rule refl :args (@t48)) % 0.16/0.38 (step @p7 :rule refl :args (@t65)) % 0.16/0.38 (step @p8 :rule refl :args (@t66)) % 0.16/0.38 (step @p9 :rule lambda-elim :args ((= @t68 @t3))) % 0.16/0.38 (step @p10 :rule refl :args (@t10)) % 0.16/0.38 (step @p11 :rule refl :args (@t11)) % 0.16/0.38 (step @p12 :rule cong :premises (@p11 @p10 @p9) :args (@t69)) % 0.16/0.38 (step @p13 :rule refl :args (@t70)) % 0.16/0.38 (step @p14 :rule cong :premises (@p13 @p12) :args (@t71)) % 0.16/0.38 (step @p15 :rule cong :premises (@p14) :args (@t72)) % 0.16/0.38 (step @p16 :rule nary_cong :premises (@p15 @p8) :args (@t73)) % 0.16/0.38 (step @p17 :rule cong :premises (@p16) :args ((forall @t18 @t73))) % 0.16/0.38 (step @p18 :rule refl :args (@t66)) % 0.16/0.38 (step @p19 :rule refl :args (@t4)) % 0.16/0.38 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t4 @t66))) % 0.16/0.38 (step @p21 :rule symm :premises (@p20)) % 0.16/0.38 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.16/0.38 (step @p23 :rule refl :args ((tptp.in @t15 @t14))) % 0.16/0.38 (step @p24 :rule refl :args ((tptp.dpsetconstr @t11 @t10 @t9))) % 0.16/0.38 (step @p25 :rule refl :args (@t67)) % 0.16/0.38 (step @p26 :rule cong :premises (@p25) :args (@t68)) % 0.16/0.38 (step @p27 :rule refl :args (@t10)) % 0.16/0.38 (step @p28 :rule refl :args (@t11)) % 0.16/0.38 (step @p29 :rule cong :premises (@p28 @p27 @p26) :args (@t69)) % 0.16/0.38 (step @p30 :rule trans :premises (@p29 @p24)) % 0.16/0.38 (step @p31 :rule refl :args (@t70)) % 0.16/0.38 (step @p32 :rule cong :premises (@p31 @p30) :args (@t71)) % 0.16/0.38 (step @p33 :rule trans :premises (@p32 @p23)) % 0.16/0.38 (step @p34 :rule refl :args (tptp.in)) % 0.16/0.38 (step @p35 :rule ho_cong :premises (@p34 @p31)) % 0.16/0.38 (step @p36 :rule ho_cong :premises (@p35 @p30)) % 0.16/0.38 (step @p37 :rule cong :premises (@p36 @p33) :args ((= (_ @t74 @t69) @t71))) % 0.16/0.38 (step @p38 :rule symm :premises (@p37)) % 0.16/0.38 (step @p39 :rule refl :args (@t17)) % 0.16/0.38 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.16/0.38 (step @p41 :rule refl :args (@t13)) % 0.16/0.38 (step @p42 :rule ho_cong :premises (@p41 @p26)) % 0.16/0.38 (step @p43 :rule cong :premises (@p42 @p30) :args ((= (_ @t13 @t68) @t69))) % 0.16/0.38 (step @p44 :rule symm :premises (@p43)) % 0.16/0.38 (step @p45 :rule refl :args (@t14)) % 0.16/0.38 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 0.16/0.38 (step @p47 :rule refl :args (@t7)) % 0.16/0.38 (step @p48 :rule cong :premises (@p47 @p25) :args ((= @t7 @t67))) % 0.16/0.38 (step @p49 :rule symm :premises (@p48)) % 0.16/0.38 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.16/0.38 (step @p51 :rule cong :premises (@p50) :args (@t9)) % 0.16/0.38 (step @p52 :rule ho_cong :premises (@p41 @p51)) % 0.16/0.38 (step @p53 :rule trans :premises (@p52 @p46)) % 0.16/0.38 (step @p54 :rule refl :args (@t15)) % 0.16/0.38 (step @p55 :rule cong :premises (@p54 @p31) :args ((= @t15 @t70))) % 0.16/0.38 (step @p56 :rule symm :premises (@p55)) % 0.16/0.38 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.16/0.38 (step @p58 :rule ho_cong :premises (@p34 @p57)) % 0.16/0.38 (step @p59 :rule ho_cong :premises (@p58 @p53)) % 0.16/0.38 (step @p60 :rule trans :premises (@p59 @p40)) % 0.16/0.38 (step @p61 :rule cong :premises (@p60) :args (@t75)) % 0.16/0.38 (step @p62 :rule nary_cong :premises (@p61 @p22) :args (@t76)) % 0.16/0.38 (step @p63 :rule cong :premises (@p62) :args ((forall @t18 @t76))) % 0.16/0.38 (step @p64 :rule trans :premises (@p63 @p17)) % 0.16/0.38 (step @p65 :rule bool-impl-elim :args (@t17 @t4)) % 0.16/0.38 (step @p66 :rule cong :premises (@p65) :args (@t19)) % 0.16/0.38 (step @p67 :rule trans :premises (@p66 @p64)) % 0.16/0.38 (step @p68 :rule refl :args (tptp.dpsetconstrER)) % 0.16/0.38 (step @p69 :rule cong :premises (@p68 @p67) :args (@t20)) % 0.16/0.38 (step @p70 :rule eq_resolve :premises (@p1 @p69)) % 0.16/0.38 (step @p71 :rule cong :premises (@p70 @p7) :args (@t77)) % 0.16/0.38 (step @p72 :rule cong :premises (@p71) :args ((not @t77))) % 0.16/0.38 (step @p73 :rule aci_norm :args ((= @t79 @t63))) % 0.16/0.38 (step @p74 :rule cong :premises (@p73) :args 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0.16/0.38 (step @p288 :rule bool-double-not-elim :args (@t65)) % 0.16/0.38 (step @p289 :rule nary_cong :premises (@p288 @p287) :args ((or (not @t166) @t165))) % 0.16/0.38 (step @p290 :rule refl :args (@t153)) % 0.16/0.38 (step @p291 :rule eq-refl :args (@t155)) % 0.16/0.38 (step @p292 :rule skolem_intro :args (@t156)) % 0.16/0.38 (step @p293 :rule refl :args (@t155)) % 0.16/0.38 (step @p294 :rule cong :premises (@p293 @p292) :args ((= @t155 @t156))) % 0.16/0.38 (step @p295 :rule trans :premises (@p294 @p291)) % 0.16/0.38 (step @p296 :rule true_elim :premises (@p295)) % 0.16/0.38 (step @p297 :rule refl :args (@t157)) % 0.16/0.38 (step @p298 :rule cong :premises (@p297 @p297 @p296) :args (@t167)) % 0.16/0.38 (step @p299 :rule refl :args (@t158)) % 0.16/0.38 (step @p300 :rule cong :premises (@p299 @p298) :args (@t168)) % 0.16/0.38 (step @p301 :rule cong :premises (@p300) :args (@t169)) % 0.16/0.38 (step @p302 :rule refl :args (@t161)) % 0.16/0.38 (step @p303 :rule refl :args (@t162)) % 0.16/0.38 (step @p304 :rule refl :args (@t163)) % 0.16/0.38 (step @p305 :rule nary_cong :premises (@p304 @p303 @p302 @p301 @p290) :args (@t170)) % 0.16/0.38 (step @p306 :rule cong :premises (@p305) :args (@t171)) % 0.16/0.38 (step @p307 :rule refl :args (@t166)) % 0.16/0.38 (step @p308 :rule cong :premises (@p307 @p306) :args ((=> @t166 @t171))) % 0.16/0.38 (assume-push @p354 @t166) % 0.16/0.38 (step @p310 :rule skolemize :premises (@p286)) % 0.16/0.38 (step-pop @p355 :rule scope :premises (@p310)) % 0.16/0.38 (step @p311 :rule process_scope :premises (@p355) :args (@t171)) % 0.16/0.38 (step @p313 :rule eq_resolve :premises (@p311 @p308)) % 0.16/0.38 (step @p314 :rule implies_elim :premises (@p313)) % 0.16/0.38 (step @p315 :rule eq_resolve :premises (@p314 @p289)) % 0.16/0.38 (step @p316 :rule chain_m_resolution :premises (@p315 @p286) :args (@t165 @t172 (@list @t65))) % 0.16/0.38 (step @p317 :rule cnf_or_neg :args (@t164 4)) % 0.16/0.38 (step @p318 :rule chain_m_resolution :premises (@p317 @p316) :args ((not @t153) @t172 @t173)) % 0.16/0.38 (step @p319 :rule eq-symm :args (@t174 @t154)) % 0.16/0.38 (step @p320 :rule beta-reduce :args ((= @t175 @t154))) % 0.16/0.38 (step @p321 :rule refl :args (@t174)) % 0.16/0.38 (step @p322 :rule cong :premises (@p321 @p320) :args (@t176)) % 0.16/0.38 (step @p323 :rule trans :premises (@p322 @p319)) % 0.16/0.38 (step @p324 :rule cong :premises (@p323) :args (@t177)) % 0.16/0.38 (step @p325 :rule quant-unused-vars :args ((= (forall @t55 true) true))) % 0.16/0.38 (step @p326 :rule eq-refl :args (@t175)) % 0.16/0.38 (step @p327 :rule cong :premises (@p326) :args ((forall @t55 (= @t175 @t175)))) % 0.16/0.38 (step @p328 :rule trans :premises (@p327 @p325)) % 0.16/0.38 (step @p329 :rule refl :args (@t175)) % 0.16/0.38 (step @p330 :rule refl :args (@t53)) % 0.16/0.38 (step @p331 :rule refl :args (@t52)) % 0.16/0.38 (step @p332 :rule ho_cong :premises (@p292 @p331 @p330)) % 0.16/0.38 (step @p333 :rule cong :premises (@p332 @p329) :args (@t176)) % 0.16/0.38 (step @p334 :rule cong :premises (@p333) :args (@t177)) % 0.16/0.38 (step @p335 :rule trans :premises (@p334 @p328)) % 0.16/0.38 (step @p336 :rule true_elim :premises (@p335)) % 0.16/0.38 (step @p337 :rule eq_resolve :premises (@p336 @p324)) % 0.16/0.38 (step @p338 :rule instantiate :premises (@p337) :args ((@list @t151 @t152))) % 0.16/0.38 (step @p339 :rule not_implies_elim1 :premises (@p285)) % 0.16/0.38 (step @p340 :rule instantiate :premises (@p339) :args ((@list @t157 @t157 @t156 @t151 @t152))) % 0.16/0.38 (step @p341 :rule bool-double-not-elim :args (@t159)) % 0.16/0.38 (step @p342 :rule refl :args (@t164)) % 0.16/0.38 (step @p343 :rule nary_cong :premises (@p342 @p341) :args ((or @t164 (not @t160)))) % 0.16/0.38 (step @p344 :rule cnf_or_neg :args (@t164 3)) % 0.16/0.38 (step @p345 :rule eq_resolve :premises (@p344 @p343)) % 0.16/0.38 (step @p346 :rule reordering :premises (@p345) :args ((or @t159 @t164))) % 0.16/0.38 (step @p347 :rule chain_m_resolution :premises (@p346 @p316) :args (@t159 @t172 @t173)) % 0.16/0.38 (step @p348 :rule cnf_or_pos :args (@t179)) % 0.16/0.38 (step @p349 :rule reordering :premises (@p348) :args ((or @t160 @t178 (not @t179)))) % 0.16/0.38 (step @p350 :rule chain_m_resolution :premises (@p349 @p347 @p340) :args (@t178 (@list false false) (@list @t159 @t179))) % 0.16/0.38 (step @p351 :rule cnf_equiv_pos2 :args (@t180)) % 0.16/0.38 (step @p352 :rule reordering :premises (@p351) :args ((or @t153 (not @t178) (not @t180)))) % 0.16/0.38 (step @p353 false :rule chain_m_resolution :premises (@p352 @p350 @p338 @p318) :args (false (@list false false true) (@list @t178 @t180 @t153))) % 0.16/0.38 ) % 0.16/0.38 % SZS output end Proof % 0.16/0.38 % cvc5 exiting %------------------------------------------------------------------------------