%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU672^2 : 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 : n018.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 08:52:40 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU672^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.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 17:45:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.38/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.emptyset $$unsorted) % 0.38/0.59 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.38/0.59 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (define tptp.singleton () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_2) (= _let_2 (_ (_ tptp.setadjoin _let_1) tptp.emptyset)))))))) % 0.38/0.59 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 0.38/0.59 (define tptp.breln () (let ((_let_1 (@var "B" $$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))))))) % 0.38/0.59 (define tptp.func () (let ((_let_1 (@var "R" $$unsorted))) (let ((_let_2 (@var "Xy" $$unsorted))) (let ((_let_3 (@var "Xx" $$unsorted))) (let ((_let_4 (@var "B" $$unsorted))) (let ((_let_5 (@var "A" $$unsorted))) (lambda (@list _let_5 _let_4 _let_1) (and (_ (_ (_ tptp.breln _let_5) _let_4) _let_1) (forall (@list _let_3) (=> (_ (_ tptp.in _let_3) _let_5) (_ (_ tptp.ex1 _let_4) (lambda (@list _let_2) (_ (_ tptp.in (_ (_ tptp.kpair _let_3) _let_2)) _let_1))))))))))))) % 0.38/0.59 (define @t1 () (@var "Xf" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "Xy" $$unsorted)) % 0.38/0.59 (define @t3 () (@var "Xx" $$unsorted)) % 0.38/0.59 (define @t4 () (_ (_ tptp.kpair @t3) @t2)) % 0.38/0.59 (define @t5 () (_ tptp.in @t4)) % 0.38/0.59 (define @t6 () (_ @t5 @t1)) % 0.38/0.59 (define @t7 () (@list @t2)) % 0.38/0.59 (define @t8 () (lambda @t7 @t6)) % 0.38/0.59 (define @t9 () (@var "B" $$unsorted)) % 0.38/0.59 (define @t10 () (_ tptp.dsetconstr @t9)) % 0.38/0.59 (define @t11 () (_ @t10 @t8)) % 0.38/0.59 (define @t12 () (@var "A" $$unsorted)) % 0.38/0.59 (define @t13 () (_ (_ tptp.in @t3) @t12)) % 0.38/0.59 (define @t14 () (=> @t13 (_ tptp.singleton @t11))) % 0.38/0.59 (define @t15 () (@list @t3)) % 0.38/0.59 (define @t16 () (forall @t15 @t14)) % 0.38/0.59 (define @t17 () (=> (_ (_ (_ tptp.func @t12) @t9) @t1) @t16)) % 0.38/0.59 (define @t18 () (@list @t12 @t9 @t1)) % 0.38/0.59 (define @t19 () (forall @t18 @t17)) % 0.38/0.59 (define @t20 () (not @t19)) % 0.38/0.59 (define @t21 () (_ (_ tptp.setadjoin @t3) tptp.emptyset)) % 0.38/0.59 (define @t22 () (= @t12 @t21)) % 0.38/0.59 (define @t23 () (and @t13 @t22)) % 0.38/0.59 (define @t24 () (exists @t15 @t23)) % 0.38/0.59 (define @t25 () (@list @t12)) % 0.38/0.59 (define @t26 () (lambda @t25 @t24)) % 0.38/0.59 (define @t27 () (@var "Xphi" (-> $$unsorted Bool))) % 0.38/0.59 (define @t28 () (lambda @t15 (_ @t27 @t3))) % 0.38/0.59 (define @t29 () (_ tptp.dsetconstr @t12)) % 0.38/0.59 (define @t30 () (_ @t29 @t28)) % 0.38/0.59 (define @t31 () (@list @t12 @t27)) % 0.38/0.59 (define @t32 () (lambda @t31 (_ tptp.singleton @t30))) % 0.38/0.59 (define @t33 () (_ (_ tptp.cartprod @t12) @t9)) % 0.38/0.59 (define @t34 () (@var "C" $$unsorted)) % 0.38/0.59 (define @t35 () (_ (_ tptp.subset @t34) @t33)) % 0.38/0.59 (define @t36 () (lambda (@list @t12 @t9 @t34) @t35)) % 0.38/0.59 (define @t37 () (@var "R" $$unsorted)) % 0.38/0.59 (define @t38 () (_ @t5 @t37)) % 0.38/0.59 (define @t39 () (lambda @t7 @t38)) % 0.38/0.59 (define @t40 () (=> @t13 (_ (_ tptp.ex1 @t9) @t39))) % 0.38/0.59 (define @t41 () (forall @t15 @t40)) % 0.38/0.59 (define @t42 () (and (_ (_ (_ tptp.breln @t12) @t9) @t37) @t41)) % 0.38/0.59 (define @t43 () (@list @t12 @t9 @t37)) % 0.38/0.59 (define @t44 () (lambda @t43 @t42)) % 0.38/0.59 (define @t45 () (@var "BOUND_VARIABLE_7744" $$unsorted)) % 0.38/0.59 (define @t46 () (tptp.dsetconstr @t9 (lambda @t7 (tptp.in (tptp.kpair @t45 @t2) @t1)))) % 0.38/0.59 (define @t47 () (@var "BOUND_VARIABLE_7695" $$unsorted)) % 0.38/0.59 (define @t48 () (tptp.setadjoin @t47 tptp.emptyset)) % 0.38/0.59 (define @t49 () (not (= @t46 @t48))) % 0.38/0.59 (define @t50 () (not (tptp.in @t47 @t46))) % 0.38/0.59 (define @t51 () (or @t50 @t49)) % 0.38/0.59 (define @t52 () (@list @t47)) % 0.38/0.59 (define @t53 () (forall @t52 @t51)) % 0.38/0.59 (define @t54 () (not @t53)) % 0.38/0.59 (define @t55 () (not (tptp.in @t45 @t12))) % 0.38/0.59 (define @t56 () (tptp.kpair @t3 @t2)) % 0.38/0.59 (define @t57 () (tptp.in @t56 @t1)) % 0.38/0.59 (define @t58 () (lambda @t7 @t57)) % 0.38/0.59 (define @t59 () (tptp.dsetconstr @t9 @t58)) % 0.38/0.59 (define @t60 () (@var "BOUND_VARIABLE_7577" $$unsorted)) % 0.38/0.59 (define @t61 () (tptp.setadjoin @t60 tptp.emptyset)) % 0.38/0.59 (define @t62 () (@list @t60)) % 0.38/0.59 (define @t63 () (tptp.in @t3 @t12)) % 0.38/0.59 (define @t64 () (not @t63)) % 0.38/0.59 (define @t65 () (forall @t15 (or @t64 (not (forall @t62 (or (not (tptp.in @t60 @t59)) (not (= @t61 @t59)))))))) % 0.38/0.59 (define @t66 () (not @t65)) % 0.38/0.59 (define @t67 () (tptp.cartprod @t12 @t9)) % 0.38/0.59 (define @t68 () (tptp.subset @t1 @t67)) % 0.38/0.59 (define @t69 () (not @t68)) % 0.38/0.59 (define @t70 () (or @t69 @t66 @t55 @t54)) % 0.38/0.59 (define @t71 () (or @t55 @t54)) % 0.38/0.59 (define @t72 () (or @t69 @t66 @t71)) % 0.38/0.59 (define @t73 () (@list @t12 @t9 @t1 @t45)) % 0.38/0.59 (define @t74 () (forall @t73 @t72)) % 0.38/0.59 (define @t75 () (@list @t45)) % 0.38/0.59 (define @t76 () (forall @t75 @t72)) % 0.38/0.59 (define @t77 () (forall @t75 @t71)) % 0.38/0.59 (define @t78 () (@list @t3)) % 0.38/0.59 (define @t79 () (or @t69 @t66 @t77)) % 0.38/0.59 (define @t80 () (not (forall @t52 (or (not (tptp.in @t47 @t59)) (not (= @t59 @t48)))))) % 0.38/0.59 (define @t81 () (forall @t15 (or @t64 @t80))) % 0.38/0.59 (define @t82 () (_ tptp.subset @t1)) % 0.38/0.59 (define @t83 () (_ @t82 @t33)) % 0.38/0.59 (define @t84 () (not @t83)) % 0.38/0.59 (define @t85 () (or @t84 @t66 @t81)) % 0.38/0.59 (define @t86 () (and @t83 @t65)) % 0.38/0.59 (define @t87 () (not @t13)) % 0.38/0.59 (define @t88 () (or @t87 @t80)) % 0.38/0.59 (define @t89 () (_ tptp.in @t56)) % 0.38/0.59 (define @t90 () (= @t11 @t48)) % 0.38/0.59 (define @t91 () (not @t90)) % 0.38/0.59 (define @t92 () (tptp.in @t47 @t11)) % 0.38/0.59 (define @t93 () (not @t92)) % 0.38/0.59 (define @t94 () (or @t93 @t91)) % 0.38/0.59 (define @t95 () (forall @t52 @t94)) % 0.38/0.59 (define @t96 () (not @t95)) % 0.38/0.59 (define @t97 () (tptp.setadjoin @t3 tptp.emptyset)) % 0.38/0.59 (define @t98 () (forall @t15 (or @t64 (not (= @t12 @t97))))) % 0.38/0.59 (define @t99 () (not @t98)) % 0.38/0.59 (define @t100 () (lambda @t25 @t99)) % 0.38/0.59 (define @t101 () (=> @t13 (_ @t100 @t11))) % 0.38/0.59 (define @t102 () (forall @t15 @t101)) % 0.38/0.59 (define @t103 () (tptp.in @t56 @t37)) % 0.38/0.59 (define @t104 () (tptp.dsetconstr @t9 (lambda @t7 @t103))) % 0.38/0.59 (define @t105 () (not (forall @t62 (or (not (tptp.in @t60 @t104)) (not (= @t61 @t104)))))) % 0.38/0.59 (define @t106 () (_ (_ tptp.subset @t37) @t33)) % 0.38/0.59 (define @t107 () (and @t106 (forall @t15 (or @t64 @t105)))) % 0.38/0.59 (define @t108 () (lambda (@list @t37) @t107)) % 0.38/0.59 (define @t109 () (lambda (@list @t9 @t37) @t107)) % 0.38/0.59 (define @t110 () (_ (lambda @t43 @t107) @t12)) % 0.38/0.59 (define @t111 () (=> (_ (_ @t110 @t9) @t1) @t102)) % 0.38/0.59 (define @t112 () (forall @t18 @t111)) % 0.38/0.59 (define @t113 () (not @t22)) % 0.38/0.59 (define @t114 () (or @t87 @t113)) % 0.38/0.59 (define @t115 () (forall @t15 (not @t23))) % 0.38/0.59 (define @t116 () (not @t115)) % 0.38/0.59 (define @t117 () (or @t87 @t105)) % 0.38/0.59 (define @t118 () (tptp.dsetconstr @t9 @t39)) % 0.38/0.59 (define @t119 () (= @t61 @t118)) % 0.38/0.59 (define @t120 () (not @t119)) % 0.38/0.59 (define @t121 () (tptp.in @t60 @t118)) % 0.38/0.59 (define @t122 () (not @t121)) % 0.38/0.59 (define @t123 () (or @t122 @t120)) % 0.38/0.59 (define @t124 () (not (= @t118 @t61))) % 0.38/0.59 (define @t125 () (or @t122 @t124)) % 0.38/0.59 (define @t126 () (forall @t62 @t125)) % 0.38/0.59 (define @t127 () (not @t126)) % 0.38/0.59 (define @t128 () (tptp.dsetconstr @t9 @t27)) % 0.38/0.59 (define @t129 () (not (tptp.in @t60 @t128))) % 0.38/0.59 (define @t130 () (@list @t27)) % 0.38/0.59 (define @t131 () (not (= @t61 @t128))) % 0.38/0.59 (define @t132 () (or @t129 @t131)) % 0.38/0.59 (define @t133 () (forall @t62 @t132)) % 0.38/0.59 (define @t134 () (not @t133)) % 0.38/0.59 (define @t135 () (forall @t15 (or (not (tptp.in @t3 @t128)) (not (= @t97 @t128))))) % 0.38/0.59 (define @t136 () (not @t135)) % 0.38/0.59 (define @t137 () (lambda @t130 @t136)) % 0.38/0.59 (define @t138 () (tptp.dsetconstr @t12 @t27)) % 0.38/0.59 (define @t139 () (_ (lambda @t31 (not (forall @t15 (or (not (tptp.in @t3 @t138)) (not (= @t97 @t138)))))) @t9)) % 0.38/0.59 (define @t140 () (=> @t13 (_ @t139 @t39))) % 0.38/0.59 (define @t141 () (forall @t15 @t140)) % 0.38/0.59 (define @t142 () (lambda (@list @t34) @t35)) % 0.38/0.59 (define @t143 () (lambda (@list @t9 @t34) @t35)) % 0.38/0.59 (define @t144 () (_ @t36 @t12)) % 0.38/0.59 (define @t145 () (@var "BOUND_VARIABLE_7478" $$unsorted)) % 0.38/0.59 (define @t146 () (_ @t27 @t145)) % 0.38/0.59 (define @t147 () (@list @t145)) % 0.38/0.59 (define @t148 () (lambda @t147 @t146)) % 0.38/0.59 (define @t149 () (tptp.dsetconstr @t12 @t148)) % 0.38/0.59 (define @t150 () (= @t97 @t149)) % 0.38/0.59 (define @t151 () (not @t150)) % 0.38/0.59 (define @t152 () (tptp.in @t3 @t149)) % 0.38/0.59 (define @t153 () (not @t152)) % 0.38/0.59 (define @t154 () (or @t153 @t151)) % 0.38/0.59 (define @t155 () (_ @t27 @t145)) % 0.38/0.59 (define @t156 () (lambda @t147 @t155)) % 0.38/0.59 (define @t157 () (_ @t29 @t156)) % 0.38/0.59 (define @t158 () (= @t97 @t157)) % 0.38/0.59 (define @t159 () (not @t158)) % 0.38/0.59 (define @t160 () (tptp.in @t3 @t157)) % 0.38/0.59 (define @t161 () (not @t160)) % 0.38/0.59 (define @t162 () (or @t161 @t159)) % 0.38/0.59 (define @t163 () (= @t97 @t30)) % 0.38/0.59 (define @t164 () (not @t163)) % 0.38/0.59 (define @t165 () (tptp.in @t3 @t30)) % 0.38/0.59 (define @t166 () (not @t165)) % 0.38/0.59 (define @t167 () (or @t166 @t164)) % 0.38/0.59 (define @t168 () (not (= @t30 @t97))) % 0.38/0.59 (define @t169 () (or @t166 @t168)) % 0.38/0.59 (define @t170 () (forall @t15 @t169)) % 0.38/0.59 (define @t171 () (not @t170)) % 0.38/0.59 (define @t172 () (forall @t73 (or @t69 @t66 @t55 (not (forall @t52 (or @t50 (not (= @t48 @t46)))))))) % 0.38/0.59 (define @t173 () (@quantifiers_skolemize @t172 0)) % 0.38/0.59 (define @t174 () (@quantifiers_skolemize @t172 3)) % 0.38/0.59 (define @t175 () (tptp.in @t174 @t173)) % 0.38/0.59 (define @t176 () (@quantifiers_skolemize @t172 2)) % 0.38/0.59 (define @t177 () (@quantifiers_skolemize @t172 1)) % 0.38/0.59 (define @t178 () (tptp.dsetconstr @t177 (lambda @t7 (tptp.in (tptp.kpair @t174 @t2) @t176)))) % 0.38/0.59 (define @t179 () (forall @t52 (or (not (tptp.in @t47 @t178)) (not (= @t48 @t178))))) % 0.38/0.59 (define @t180 () (not @t179)) % 0.38/0.59 (define @t181 () (not @t175)) % 0.38/0.59 (define @t182 () (tptp.dsetconstr @t177 (lambda @t7 (tptp.in @t56 @t176)))) % 0.38/0.59 (define @t183 () (forall @t15 (or (not (tptp.in @t3 @t173)) (not (forall @t62 (or (not (tptp.in @t60 @t182)) (not (= @t61 @t182)))))))) % 0.38/0.59 (define @t184 () (not @t183)) % 0.38/0.59 (define @t185 () (or (not (tptp.subset @t176 (tptp.cartprod @t173 @t177))) @t184 @t181 @t180)) % 0.38/0.59 (define @t186 () (@list true)) % 0.38/0.59 (define @t187 () (@list @t185)) % 0.38/0.59 (define @t188 () (@var "BOUND_VARIABLE_8071" $$unsorted)) % 0.38/0.59 (define @t189 () (tptp.dsetconstr @t177 (lambda (@list @t188) (tptp.in (tptp.kpair @t174 @t188) @t176)))) % 0.38/0.59 (define @t190 () (@var "BOUND_VARIABLE_8070" $$unsorted)) % 0.38/0.59 (define @t191 () (@list @t190 @t188)) % 0.38/0.59 (define @t192 () (forall @t62 (or (not (tptp.in @t60 @t178)) (not (= @t61 @t178))))) % 0.38/0.59 (define @t193 () (not @t192)) % 0.38/0.59 (define @t194 () (or @t181 @t193)) % 0.38/0.59 (assume @p1 @t20) % 0.38/0.59 (assume @p2 true) % 0.38/0.59 (step @p3 (= tptp.singleton @t26) :rule refl :args (@t26)) % 0.38/0.59 (step @p4 (= tptp.ex1 @t32) :rule refl :args (@t32)) % 0.38/0.59 (step @p5 (= tptp.breln @t36) :rule refl :args (@t36)) % 0.38/0.59 (step @p6 (= tptp.func @t44) :rule refl :args (@t44)) % 0.38/0.59 (step @p7 :rule eq-symm :args (@t46 @t48)) % 0.38/0.59 (step @p8 :rule cong :premises (@p7) :args (@t49)) % 0.38/0.59 (step @p9 :rule refl :args (@t50)) % 0.38/0.59 (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t51)) % 0.38/0.59 (step @p11 :rule cong :premises (@p10) :args (@t53)) % 0.38/0.59 (step @p12 :rule cong :premises (@p11) :args (@t54)) % 0.38/0.59 (step @p13 :rule refl :args (@t55)) % 0.38/0.59 (step @p14 :rule refl :args (@t66)) % 0.38/0.59 (step @p15 :rule refl :args (@t69)) % 0.38/0.59 (step @p16 :rule nary_cong :premises (@p15 @p14 @p13 @p12) :args (@t70)) % 0.38/0.59 (step @p17 :rule aci_norm :args ((= @t72 @t70))) % 0.38/0.59 (step @p18 :rule trans :premises (@p17 @p16)) % 0.38/0.59 (step @p19 :rule cong :premises (@p18) :args (@t74)) % 0.38/0.59 (step @p20 :rule quant-merge-prenex :args ((= (forall @t18 @t76) @t74))) % 0.38/0.59 (step @p21 :rule alpha_equiv :args (@t77 (@list @t45) @t78)) % 0.38/0.59 (step @p22 :rule refl :args (@t66)) % 0.38/0.59 (step @p23 :rule refl :args (@t69)) % 0.38/0.59 (step @p24 :rule nary_cong :premises (@p23 @p22 @p21) :args (@t79)) % 0.38/0.59 (step @p25 :rule quant-miniscope-or :args ((= @t76 @t79))) % 0.38/0.59 (step @p26 :rule trans :premises (@p25 @p24)) % 0.38/0.59 (step @p27 :rule symm :premises (@p26)) % 0.38/0.59 (step @p28 :rule cong :premises (@p27) :args ((forall @t18 (or @t69 @t66 @t81)))) % 0.38/0.59 (step @p29 :rule trans :premises (@p28 @p20)) % 0.38/0.59 (step @p30 :rule trans :premises (@p29 @p19)) % 0.38/0.59 (step @p31 :rule refl :args (@t81)) % 0.38/0.59 (step @p32 :rule refl :args ((tptp.subset @t1 @t33))) % 0.38/0.59 (step @p33 :rule refl :args (@t67)) % 0.38/0.59 (step @p34 :rule refl :args (@t1)) % 0.38/0.59 (step @p35 :rule cong :premises (@p34 @p33) :args (@t68)) % 0.38/0.59 (step @p36 :rule trans :premises (@p35 @p32)) % 0.38/0.59 (step @p37 :rule refl :args (@t82)) % 0.38/0.59 (step @p38 :rule ho_cong :premises (@p37 @p33)) % 0.38/0.59 (step @p39 :rule cong :premises (@p38 @p36) :args ((= (_ @t82 @t67) @t68))) % 0.38/0.59 (step @p40 :rule symm :premises (@p39)) % 0.38/0.59 (step @p41 :rule refl :args (@t83)) % 0.38/0.59 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 0.38/0.59 (step @p43 :rule refl :args (@t33)) % 0.38/0.59 (step @p44 :rule cong :premises (@p43 @p33) :args ((= @t33 @t67))) % 0.38/0.59 (step @p45 :rule symm :premises (@p44)) % 0.38/0.59 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.38/0.59 (step @p47 :rule ho_cong :premises (@p37 @p46)) % 0.38/0.59 (step @p48 :rule trans :premises (@p47 @p42)) % 0.38/0.59 (step @p49 :rule cong :premises (@p48) :args (@t84)) % 0.38/0.59 (step @p50 :rule nary_cong :premises (@p49 @p22 @p31) :args (@t85)) % 0.38/0.59 (step @p51 :rule cong :premises (@p50) :args ((forall @t18 @t85))) % 0.38/0.59 (step @p52 :rule trans :premises (@p51 @p30)) % 0.38/0.59 (step @p53 :rule aci_norm :args ((= (or (or @t84 @t66) @t81) @t85))) % 0.38/0.59 (step @p54 :rule bool-and-de-morgan :args (@t83 @t65 true)) % 0.38/0.59 (step @p55 :rule nary_cong :premises (@p54 @p31) :args ((or (not @t86) @t81))) % 0.38/0.59 (step @p56 :rule trans :premises (@p55 @p53)) % 0.38/0.59 (step @p57 :rule bool-impl-elim :args (@t86 @t81)) % 0.38/0.59 (step @p58 :rule trans :premises (@p57 @p56)) % 0.38/0.59 (step @p59 :rule cong :premises (@p58) :args ((forall @t18 (=> @t86 @t81)))) % 0.38/0.59 (step @p60 :rule trans :premises (@p59 @p52)) % 0.38/0.59 (step @p61 :rule refl :args (@t80)) % 0.38/0.59 (step @p62 :rule refl :args (@t63)) % 0.38/0.59 (step @p63 :rule refl :args (@t13)) % 0.38/0.59 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t13 @t63))) % 0.38/0.59 (step @p65 :rule symm :premises (@p64)) % 0.38/0.59 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.38/0.59 (step @p67 :rule cong :premises (@p66) :args (@t87)) % 0.38/0.59 (step @p68 :rule nary_cong :premises (@p67 @p61) :args (@t88)) % 0.38/0.59 (step @p69 :rule cong :premises (@p68) :args ((forall @t15 @t88))) % 0.38/0.59 (step @p70 :rule bool-impl-elim :args (@t13 @t80)) % 0.38/0.59 (step @p71 :rule cong :premises (@p70) :args ((forall @t15 (=> @t13 @t80)))) % 0.38/0.59 (step @p72 :rule trans :premises (@p71 @p69)) % 0.38/0.59 (step @p73 :rule refl :args (@t48)) % 0.38/0.59 (step @p74 :rule refl :args ((tptp.dsetconstr @t9 @t8))) % 0.38/0.59 (step @p75 :rule refl :args ((tptp.in @t4 @t1))) % 0.38/0.59 (step @p76 :rule refl :args (@t56)) % 0.38/0.59 (step @p77 :rule cong :premises (@p76 @p34) :args (@t57)) % 0.38/0.59 (step @p78 :rule trans :premises (@p77 @p75)) % 0.38/0.59 (step @p79 :rule cong :premises (@p78) :args (@t58)) % 0.38/0.59 (step @p80 :rule refl :args (@t9)) % 0.38/0.59 (step @p81 :rule cong :premises (@p80 @p79) :args (@t59)) % 0.38/0.59 (step @p82 :rule trans :premises (@p81 @p74)) % 0.38/0.59 (step @p83 :rule refl :args (@t10)) % 0.38/0.59 (step @p84 :rule ho_cong :premises (@p83 @p79)) % 0.38/0.59 (step @p85 :rule cong :premises (@p84 @p82) :args ((= (_ @t10 @t58) @t59))) % 0.38/0.59 (step @p86 :rule symm :premises (@p85)) % 0.38/0.59 (step @p87 :rule refl :args (@t11)) % 0.38/0.59 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.38/0.59 (step @p89 :rule refl :args (tptp.in)) % 0.38/0.59 (step @p90 :rule ho_cong :premises (@p89 @p76)) % 0.38/0.59 (step @p91 :rule ho_cong :premises (@p90 @p34)) % 0.38/0.59 (step @p92 :rule cong :premises (@p91 @p78) :args ((= (_ @t89 @t1) @t57))) % 0.38/0.59 (step @p93 :rule symm :premises (@p92)) % 0.38/0.59 (step @p94 :rule refl :args (@t6)) % 0.38/0.59 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.38/0.59 (step @p96 :rule refl :args (@t4)) % 0.38/0.59 (step @p97 :rule cong :premises (@p96 @p76) :args ((= @t4 @t56))) % 0.38/0.59 (step @p98 :rule symm :premises (@p97)) % 0.38/0.59 (step @p99 :rule eq_resolve :premises (@p96 @p98)) % 0.38/0.59 (step @p100 :rule ho_cong :premises (@p89 @p99)) % 0.38/0.59 (step @p101 :rule ho_cong :premises (@p100 @p34)) % 0.38/0.59 (step @p102 :rule trans :premises (@p101 @p95)) % 0.38/0.59 (step @p103 :rule cong :premises (@p102) :args (@t8)) % 0.38/0.59 (step @p104 :rule ho_cong :premises (@p83 @p103)) % 0.38/0.59 (step @p105 :rule trans :premises (@p104 @p88)) % 0.38/0.59 (step @p106 :rule cong :premises (@p105 @p73) :args (@t90)) % 0.38/0.59 (step @p107 :rule cong :premises (@p106) :args (@t91)) % 0.38/0.59 (step @p108 :rule refl :args (@t47)) % 0.38/0.59 (step @p109 :rule cong :premises (@p108 @p105) :args (@t92)) % 0.38/0.59 (step @p110 :rule cong :premises (@p109) :args (@t93)) % 0.38/0.59 (step @p111 :rule nary_cong :premises (@p110 @p107) :args (@t94)) % 0.38/0.59 (step @p112 :rule cong :premises (@p111) :args (@t95)) % 0.38/0.59 (step @p113 :rule cong :premises (@p112) :args (@t96)) % 0.38/0.59 (step @p114 :rule beta-reduce :args ((= (_ (lambda @t25 (not (forall @t52 (or (not (tptp.in @t47 @t12)) (not (= @t12 @t48)))))) @t11) @t96))) % 0.38/0.59 (step @p115 :rule trans :premises (@p114 @p113)) % 0.38/0.59 (step @p116 :rule alpha_equiv :args (@t98 @t78 (@list @t47))) % 0.38/0.59 (step @p117 :rule cong :premises (@p116) :args (@t99)) % 0.38/0.59 (step @p118 :rule cong :premises (@p117) :args (@t100)) % 0.38/0.59 (step @p119 :rule ho_cong :premises (@p118 @p87)) % 0.38/0.59 (step @p120 :rule trans :premises (@p119 @p115)) % 0.38/0.59 (step @p121 :rule refl :args (@t13)) % 0.38/0.59 (step @p122 :rule cong :premises (@p121 @p120) :args (@t101)) % 0.38/0.59 (step @p123 :rule cong :premises (@p122) :args (@t102)) % 0.38/0.59 (step @p124 :rule trans :premises (@p123 @p72)) % 0.38/0.59 (step @p125 :rule beta-reduce :args ((= (_ @t108 @t1) @t86))) % 0.38/0.59 (step @p126 :rule refl :args (@t1)) % 0.38/0.59 (step @p127 :rule beta-reduce :args ((= (_ @t109 @t9) @t108))) % 0.38/0.59 (step @p128 :rule refl :args (@t9)) % 0.38/0.59 (step @p129 :rule beta-reduce :args ((= @t110 @t109))) % 0.38/0.59 (step @p130 :rule ho_cong :premises (@p129 @p128)) % 0.38/0.59 (step @p131 :rule trans :premises (@p130 @p127)) % 0.38/0.59 (step @p132 :rule ho_cong :premises (@p131 @p126)) % 0.38/0.59 (step @p133 :rule trans :premises (@p132 @p125)) % 0.38/0.59 (step @p134 :rule cong :premises (@p133 @p124) :args (@t111)) % 0.38/0.59 (step @p135 :rule cong :premises (@p134) :args (@t112)) % 0.38/0.59 (step @p136 :rule trans :premises (@p135 @p60)) % 0.38/0.59 (step @p137 :rule cong :premises (@p136) :args ((not @t112))) % 0.38/0.59 (step @p138 :rule refl :args (@t11)) % 0.38/0.59 (step @p139 :rule refl :args (@t97)) % 0.38/0.59 (step @p140 :rule refl :args (@t21)) % 0.38/0.59 (step @p141 :rule cong :premises (@p140 @p139) :args ((= @t21 @t97))) % 0.38/0.59 (step @p142 :rule symm :premises (@p141)) % 0.38/0.59 (step @p143 :rule eq_resolve :premises (@p140 @p142)) % 0.38/0.59 (step @p144 :rule refl :args (@t12)) % 0.38/0.59 (step @p145 :rule cong :premises (@p144 @p143) :args (@t22)) % 0.38/0.59 (step @p146 :rule cong :premises (@p145) :args (@t113)) % 0.38/0.59 (step @p147 :rule nary_cong :premises (@p67 @p146) :args (@t114)) % 0.38/0.59 (step @p148 :rule cong :premises (@p147) :args ((forall @t15 @t114))) % 0.38/0.59 (step @p149 :rule bool-and-de-morgan :args (@t13 @t22 true)) % 0.38/0.59 (step @p150 :rule cong :premises (@p149) :args (@t115)) % 0.38/0.59 (step @p151 :rule trans :premises (@p150 @p148)) % 0.38/0.59 (step @p152 :rule cong :premises (@p151) :args (@t116)) % 0.38/0.59 (step @p153 :rule exists-elim :args ((= @t24 @t116))) % 0.38/0.59 (step @p154 :rule trans :premises (@p153 @p152)) % 0.38/0.59 (step @p155 :rule cong :premises (@p154) :args (@t26)) % 0.38/0.59 (step @p156 :rule trans :premises (@p3 @p155)) % 0.38/0.59 (step @p157 :rule ho_cong :premises (@p156 @p138)) % 0.38/0.59 (step @p158 :rule cong :premises (@p121 @p157) :args (@t14)) % 0.38/0.59 (step @p159 :rule cong :premises (@p158) :args (@t16)) % 0.38/0.59 (step @p160 :rule refl :args (@t12)) % 0.38/0.59 (step @p161 :rule refl :args (@t105)) % 0.38/0.59 (step @p162 :rule nary_cong :premises (@p67 @p161) :args (@t117)) % 0.38/0.59 (step @p163 :rule cong :premises (@p162) :args ((forall @t15 @t117))) % 0.38/0.59 (step @p164 :rule bool-impl-elim :args (@t13 @t105)) % 0.38/0.59 (step @p165 :rule cong :premises (@p164) :args ((forall @t15 (=> @t13 @t105)))) % 0.38/0.59 (step @p166 :rule trans :premises (@p165 @p163)) % 0.38/0.59 (step @p167 :rule refl :args ((tptp.in @t4 @t37))) % 0.38/0.59 (step @p168 :rule refl :args (@t37)) % 0.38/0.59 (step @p169 :rule cong :premises (@p76 @p168) :args (@t103)) % 0.38/0.59 (step @p170 :rule trans :premises (@p169 @p167)) % 0.38/0.59 (step @p171 :rule ho_cong :premises (@p90 @p168)) % 0.38/0.59 (step @p172 :rule cong :premises (@p171 @p170) :args ((= (_ @t89 @t37) @t103))) % 0.38/0.59 (step @p173 :rule symm :premises (@p172)) % 0.38/0.59 (step @p174 :rule refl :args (@t38)) % 0.38/0.59 (step @p175 :rule eq_resolve :premises (@p174 @p173)) % 0.38/0.59 (step @p176 :rule ho_cong :premises (@p100 @p168)) % 0.38/0.59 (step @p177 :rule trans :premises (@p176 @p175)) % 0.38/0.59 (step @p178 :rule cong :premises (@p177) :args (@t39)) % 0.38/0.59 (step @p179 :rule cong :premises (@p80 @p178) :args (@t118)) % 0.38/0.59 (step @p180 :rule refl :args (@t61)) % 0.38/0.59 (step @p181 :rule cong :premises (@p180 @p179) :args (@t119)) % 0.38/0.59 (step @p182 :rule cong :premises (@p181) :args (@t120)) % 0.38/0.59 (step @p183 :rule refl :args (@t60)) % 0.38/0.59 (step @p184 :rule cong :premises (@p183 @p179) :args (@t121)) % 0.38/0.59 (step @p185 :rule cong :premises (@p184) :args (@t122)) % 0.38/0.59 (step @p186 :rule nary_cong :premises (@p185 @p182) :args (@t123)) % 0.38/0.59 (step @p187 :rule cong :premises (@p186) :args ((forall @t62 @t123))) % 0.38/0.59 (step @p188 :rule eq-symm :args (@t118 @t61)) % 0.38/0.59 (step @p189 :rule cong :premises (@p188) :args (@t124)) % 0.38/0.59 (step @p190 :rule refl :args (@t122)) % 0.38/0.59 (step @p191 :rule nary_cong :premises (@p190 @p189) :args (@t125)) % 0.38/0.59 (step @p192 :rule cong :premises (@p191) :args (@t126)) % 0.38/0.59 (step @p193 :rule trans :premises (@p192 @p187)) % 0.38/0.59 (step @p194 :rule cong :premises (@p193) :args (@t127)) % 0.38/0.59 (step @p195 :rule beta-reduce :args ((= (_ (lambda @t130 (not (forall @t62 (or @t129 (not (= @t128 @t61)))))) @t39) @t127))) % 0.38/0.59 (step @p196 :rule trans :premises (@p195 @p194)) % 0.38/0.59 (step @p197 :rule refl :args (@t39)) % 0.38/0.59 (step @p198 :rule eq-symm :args (@t61 @t128)) % 0.38/0.59 (step @p199 :rule cong :premises (@p198) :args (@t131)) % 0.38/0.59 (step @p200 :rule refl :args (@t129)) % 0.38/0.59 (step @p201 :rule nary_cong :premises (@p200 @p199) :args (@t132)) % 0.38/0.59 (step @p202 :rule cong :premises (@p201) :args (@t133)) % 0.38/0.59 (step @p203 :rule cong :premises (@p202) :args (@t134)) % 0.38/0.59 (step @p204 :rule cong :premises (@p203) :args ((lambda @t130 @t134))) % 0.38/0.59 (step @p205 :rule ho_cong :premises (@p204 @p197)) % 0.38/0.59 (step @p206 :rule trans :premises (@p205 @p196)) % 0.38/0.59 (step @p207 :rule refl :args (@t39)) % 0.38/0.59 (step @p208 :rule alpha_equiv :args (@t135 @t78 (@list @t60))) % 0.38/0.59 (step @p209 :rule cong :premises (@p208) :args (@t136)) % 0.38/0.59 (step @p210 :rule cong :premises (@p209) :args (@t137)) % 0.38/0.59 (step @p211 :rule ho_cong :premises (@p210 @p207)) % 0.38/0.59 (step @p212 :rule trans :premises (@p211 @p206)) % 0.38/0.59 (step @p213 :rule beta-reduce :args ((= @t139 @t137))) % 0.38/0.59 (step @p214 :rule ho_cong :premises (@p213 @p197)) % 0.38/0.59 (step @p215 :rule trans :premises (@p214 @p212)) % 0.38/0.59 (step @p216 :rule cong :premises (@p121 @p215) :args (@t140)) % 0.38/0.59 (step @p217 :rule cong :premises (@p216) :args (@t141)) % 0.38/0.59 (step @p218 :rule trans :premises (@p217 @p166)) % 0.38/0.59 (step @p219 :rule beta-reduce :args ((= (_ @t142 @t37) @t106))) % 0.38/0.59 (step @p220 :rule refl :args (@t37)) % 0.38/0.59 (step @p221 :rule beta-reduce :args ((= (_ @t143 @t9) @t142))) % 0.38/0.59 (step @p222 :rule beta-reduce :args ((= @t144 @t143))) % 0.38/0.59 (step @p223 :rule ho_cong :premises (@p222 @p128)) % 0.38/0.59 (step @p224 :rule trans :premises (@p223 @p221)) % 0.38/0.59 (step @p225 :rule ho_cong :premises (@p224 @p220)) % 0.38/0.59 (step @p226 :rule trans :premises (@p225 @p219)) % 0.38/0.59 (step @p227 :rule nary_cong :premises (@p226 @p218) :args ((and (_ (_ @t144 @t9) @t37) @t141))) % 0.38/0.59 (step @p228 :rule lambda-elim :args ((= @t148 @t27))) % 0.38/0.59 (step @p229 :rule cong :premises (@p160 @p228) :args (@t149)) % 0.38/0.59 (step @p230 :rule refl :args (@t97)) % 0.38/0.59 (step @p231 :rule cong :premises (@p230 @p229) :args (@t150)) % 0.38/0.59 (step @p232 :rule cong :premises (@p231) :args (@t151)) % 0.38/0.59 (step @p233 :rule refl :args (@t3)) % 0.38/0.59 (step @p234 :rule cong :premises (@p233 @p229) :args (@t152)) % 0.38/0.59 (step @p235 :rule cong :premises (@p234) :args (@t153)) % 0.38/0.59 (step @p236 :rule nary_cong :premises (@p235 @p232) :args (@t154)) % 0.38/0.59 (step @p237 :rule cong :premises (@p236) :args ((forall @t15 @t154))) % 0.38/0.59 (step @p238 :rule refl :args ((tptp.dsetconstr @t12 @t156))) % 0.38/0.59 (step @p239 :rule refl :args (@t146)) % 0.38/0.59 (step @p240 :rule cong :premises (@p239) :args (@t148)) % 0.38/0.59 (step @p241 :rule cong :premises (@p144 @p240) :args (@t149)) % 0.38/0.59 (step @p242 :rule trans :premises (@p241 @p238)) % 0.38/0.59 (step @p243 :rule refl :args (@t29)) % 0.38/0.59 (step @p244 :rule ho_cong :premises (@p243 @p240)) % 0.38/0.59 (step @p245 :rule cong :premises (@p244 @p242) :args ((= (_ @t29 @t148) @t149))) % 0.38/0.59 (step @p246 :rule symm :premises (@p245)) % 0.38/0.59 (step @p247 :rule refl :args (@t157)) % 0.38/0.59 (step @p248 :rule eq_resolve :premises (@p247 @p246)) % 0.38/0.59 (step @p249 :rule refl :args (@t155)) % 0.38/0.59 (step @p250 :rule cong :premises (@p249 @p239) :args ((= @t155 @t146))) % 0.38/0.59 (step @p251 :rule symm :premises (@p250)) % 0.38/0.59 (step @p252 :rule eq_resolve :premises (@p249 @p251)) % 0.38/0.59 (step @p253 :rule cong :premises (@p252) :args (@t156)) % 0.38/0.59 (step @p254 :rule ho_cong :premises (@p243 @p253)) % 0.38/0.59 (step @p255 :rule trans :premises (@p254 @p248)) % 0.38/0.59 (step @p256 :rule refl :args (@t97)) % 0.38/0.59 (step @p257 :rule cong :premises (@p256 @p255) :args (@t158)) % 0.38/0.59 (step @p258 :rule cong :premises (@p257) :args (@t159)) % 0.38/0.59 (step @p259 :rule refl :args (@t3)) % 0.38/0.59 (step @p260 :rule cong :premises (@p259 @p255) :args (@t160)) % 0.38/0.59 (step @p261 :rule cong :premises (@p260) :args (@t161)) % 0.38/0.59 (step @p262 :rule nary_cong :premises (@p261 @p258) :args (@t162)) % 0.38/0.59 (step @p263 :rule cong :premises (@p262) :args ((forall @t15 @t162))) % 0.38/0.59 (step @p264 :rule trans :premises (@p263 @p237)) % 0.38/0.59 (step @p265 :rule alpha_equiv :args (@t28 @t78 (@list @t145))) % 0.38/0.59 (step @p266 :rule ho_cong :premises (@p243 @p265)) % 0.38/0.59 (step @p267 :rule cong :premises (@p256 @p266) :args (@t163)) % 0.38/0.59 (step @p268 :rule cong :premises (@p267) :args (@t164)) % 0.38/0.59 (step @p269 :rule cong :premises (@p259 @p266) :args (@t165)) % 0.38/0.59 (step @p270 :rule cong :premises (@p269) :args (@t166)) % 0.38/0.59 (step @p271 :rule nary_cong :premises (@p270 @p268) :args (@t167)) % 0.38/0.59 (step @p272 :rule cong :premises (@p271) :args ((forall @t15 @t167))) % 0.38/0.59 (step @p273 :rule trans :premises (@p272 @p264)) % 0.38/0.59 (step @p274 :rule eq-symm :args (@t30 @t97)) % 0.38/0.59 (step @p275 :rule cong :premises (@p274) :args (@t168)) % 0.38/0.59 (step @p276 :rule refl :args (@t166)) % 0.38/0.59 (step @p277 :rule nary_cong :premises (@p276 @p275) :args (@t169)) % 0.38/0.59 (step @p278 :rule cong :premises (@p277) :args (@t170)) % 0.38/0.59 (step @p279 :rule trans :premises (@p278 @p273)) % 0.38/0.59 (step @p280 :rule cong :premises (@p279) :args (@t171)) % 0.38/0.59 (step @p281 :rule beta-reduce :args ((= (_ @t100 @t30) @t171))) % 0.38/0.59 (step @p282 :rule trans :premises (@p281 @p280)) % 0.38/0.59 (step @p283 :rule refl :args (@t30)) % 0.38/0.59 (step @p284 :rule ho_cong :premises (@p156 @p283)) % 0.38/0.59 (step @p285 :rule trans :premises (@p284 @p282)) % 0.38/0.59 (step @p286 :rule cong :premises (@p285) :args (@t32)) % 0.38/0.59 (step @p287 :rule trans :premises (@p4 @p286)) % 0.38/0.59 (step @p288 :rule ho_cong :premises (@p287 @p128)) % 0.38/0.59 (step @p289 :rule ho_cong :premises (@p288 @p197)) % 0.38/0.59 (step @p290 :rule cong :premises (@p121 @p289) :args (@t40)) % 0.38/0.59 (step @p291 :rule cong :premises (@p290) :args (@t41)) % 0.38/0.59 (step @p292 :rule ho_cong :premises (@p5 @p160)) % 0.38/0.59 (step @p293 :rule ho_cong :premises (@p292 @p128)) % 0.38/0.59 (step @p294 :rule ho_cong :premises (@p293 @p220)) % 0.38/0.59 (step @p295 :rule nary_cong :premises (@p294 @p291) :args (@t42)) % 0.38/0.59 (step @p296 :rule trans :premises (@p295 @p227)) % 0.38/0.59 (step @p297 :rule cong :premises (@p296) :args (@t44)) % 0.38/0.59 (step @p298 :rule trans :premises (@p6 @p297)) % 0.38/0.59 (step @p299 :rule ho_cong :premises (@p298 @p160)) % 0.38/0.59 (step @p300 :rule ho_cong :premises (@p299 @p128)) % 0.38/0.59 (step @p301 :rule ho_cong :premises (@p300 @p126)) % 0.38/0.59 (step @p302 :rule cong :premises (@p301 @p159) :args (@t17)) % 0.38/0.59 (step @p303 :rule cong :premises (@p302) :args (@t19)) % 0.38/0.59 (step @p304 :rule cong :premises (@p303) :args (@t20)) % 0.38/0.59 (step @p305 :rule trans :premises (@p304 @p137)) % 0.38/0.59 (step @p306 :rule eq_resolve :premises (@p1 @p305)) % 0.38/0.59 (step @p307 :rule skolemize :premises (@p306)) % 0.38/0.59 (step @p308 :rule bool-double-not-elim :args (@t175)) % 0.38/0.59 (step @p309 :rule refl :args (@t185)) % 0.38/0.59 (step @p310 :rule nary_cong :premises (@p309 @p308) :args ((or @t185 (not @t181)))) % 0.38/0.59 (step @p311 :rule cnf_or_neg :args (@t185 2)) % 0.38/0.59 (step @p312 :rule eq_resolve :premises (@p311 @p310)) % 0.38/0.59 (step @p313 :rule reordering :premises (@p312) :args ((or @t175 @t185))) % 0.38/0.59 (step @p314 :rule chain_m_resolution :premises (@p313 @p307) :args (@t175 @t186 @t187)) % 0.38/0.59 (step @p315 :rule bool-double-not-elim :args (@t183)) % 0.38/0.59 (step @p316 :rule nary_cong :premises (@p309 @p315) :args ((or @t185 (not @t184)))) % 0.38/0.59 (step @p317 :rule cnf_or_neg :args (@t185 1)) % 0.38/0.59 (step @p318 :rule eq_resolve :premises (@p317 @p316)) % 0.38/0.59 (step @p319 :rule reordering :premises (@p318) :args ((or @t183 @t185))) % 0.38/0.59 (step @p320 :rule chain_m_resolution :premises (@p319 @p307) :args (@t183 @t186 @t187)) % 0.38/0.59 (step @p321 :rule instantiate :premises (@p320) :args ((@list @t174))) % 0.38/0.59 (step @p322 :rule bool-double-not-elim :args (@t179)) % 0.38/0.59 (step @p323 :rule nary_cong :premises (@p309 @p322) :args ((or @t185 (not @t180)))) % 0.38/0.59 (step @p324 :rule cnf_or_neg :args (@t185 3)) % 0.38/0.59 (step @p325 :rule eq_resolve :premises (@p324 @p323)) % 0.38/0.59 (step @p326 :rule reordering :premises (@p325) :args ((or @t179 @t185))) % 0.38/0.59 (step @p327 :rule chain_m_resolution :premises (@p326 @p307) :args (@t179 @t186 @t187)) % 0.38/0.59 (step @p328 :rule alpha_equiv :args ((forall (@list @t190) (or (not (tptp.in @t190 @t189)) (not (= (tptp.setadjoin @t190 tptp.emptyset) @t189)))) @t191 (@list @t60 @t2))) % 0.38/0.59 (step @p329 :rule alpha_equiv :args (@t179 (@list @t47 @t2) @t191)) % 0.38/0.59 (step @p330 :rule trans :premises (@p329 @p328)) % 0.38/0.59 (step @p331 :rule equiv_elim1 :premises (@p330)) % 0.38/0.59 (step @p332 :rule chain_m_resolution :premises (@p331 @p327) :args (@t192 (@list false) (@list @t179))) % 0.38/0.59 (step @p333 :rule cnf_or_pos :args (@t194)) % 0.38/0.59 (step @p334 :rule reordering :premises (@p333) :args ((or @t181 @t193 (not @t194)))) % 0.38/0.59 (step @p335 false :rule chain_m_resolution :premises (@p334 @p332 @p321 @p314) :args (false (@list false false false) (@list @t192 @t194 @t175))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------