%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU684^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:52:43 AM UTC 2026 % Result : Theorem 0.17s 0.40s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU684^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 17:46:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.17/0.33 %----Proving TH0 % 0.17/0.40 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.17/0.40 % SZS status Theorem % 0.17/0.40 % SZS output start Proof % 0.17/0.40 ( % 0.17/0.40 (declare-sort $$unsorted 0) % 0.17/0.40 (declare-const tptp.emptyset $$unsorted) % 0.17/0.40 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.40 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.17/0.40 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.17/0.40 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.40 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.17/0.40 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.40 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.17/0.40 (declare-const tptp.funcImageSingleton Bool) % 0.17/0.40 (declare-const tptp.theprop Bool) % 0.17/0.40 (declare-const tptp.dsetconstrER Bool) % 0.17/0.40 (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)))))))) % 0.17/0.40 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 0.17/0.40 (define tptp.breln () (let ((_let_1 (@var "B" $$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))))))) % 0.17/0.40 (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" $$unsorted))) (lambda (@list _let_5 _let_4 _let_1) (and (_ (_ (_ tptp.breln _let_5) _let_4) _let_1) (forall (@list _let_3) (=> (_ (_ tptp.in _let_3) _let_5) (_ (_ tptp.ex1 _let_4) (lambda (@list _let_2) (_ (_ tptp.in (_ (_ tptp.kpair _let_3) _let_2)) _let_1))))))))))))) % 0.17/0.40 (define tptp.ap () (let ((_let_1 (@var "Xf" $$unsorted))) (let ((_let_2 (@var "Xy" $$unsorted))) (let ((_let_3 (@var "Xx" $$unsorted))) (let ((_let_4 (@var "B" $$unsorted))) (lambda (@list (@var "A" $$unsorted) _let_4 _let_1 _let_3) (_ tptp.setunion (_ (_ tptp.dsetconstr _let_4) (lambda (@list _let_2) (_ (_ tptp.in (_ (_ tptp.kpair _let_3) _let_2)) _let_1)))))))))) % 0.17/0.40 (define @t1 () (@var "Xx" $$unsorted)) % 0.17/0.40 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 0.17/0.40 (define @t3 () (_ @t2 @t1)) % 0.17/0.40 (define @t4 () (@var "Xy" $$unsorted)) % 0.17/0.40 (define @t5 () (_ @t2 @t4)) % 0.17/0.40 (define @t6 () (@list @t4)) % 0.17/0.40 (define @t7 () (lambda @t6 @t5)) % 0.17/0.40 (define @t8 () (@var "A" $$unsorted)) % 0.17/0.40 (define @t9 () (_ tptp.dsetconstr @t8)) % 0.17/0.40 (define @t10 () (_ @t9 @t7)) % 0.17/0.40 (define @t11 () (_ tptp.in @t1)) % 0.17/0.40 (define @t12 () (_ @t11 @t10)) % 0.17/0.40 (define @t13 () (@list @t8 @t2 @t1)) % 0.17/0.40 (define @t14 () (forall @t13 (=> @t12 @t3))) % 0.17/0.40 (define @t15 () (= tptp.dsetconstrER @t14)) % 0.17/0.40 (define @t16 () (@var "X" $$unsorted)) % 0.17/0.40 (define @t17 () (_ tptp.setunion @t16)) % 0.17/0.40 (define @t18 () (_ (_ tptp.in @t17) @t16)) % 0.17/0.40 (define @t19 () (=> (_ tptp.singleton @t16) @t18)) % 0.17/0.40 (define @t20 () (@list @t16)) % 0.17/0.40 (define @t21 () (forall @t20 @t19)) % 0.17/0.40 (define @t22 () (= tptp.theprop @t21)) % 0.17/0.40 (define @t23 () (@var "Xf" $$unsorted)) % 0.17/0.40 (define @t24 () (_ tptp.kpair @t1)) % 0.17/0.40 (define @t25 () (_ @t24 @t4)) % 0.17/0.40 (define @t26 () (_ tptp.in @t25)) % 0.17/0.40 (define @t27 () (_ @t26 @t23)) % 0.17/0.40 (define @t28 () (lambda @t6 @t27)) % 0.17/0.40 (define @t29 () (@var "B" $$unsorted)) % 0.17/0.40 (define @t30 () (_ tptp.dsetconstr @t29)) % 0.17/0.40 (define @t31 () (_ @t30 @t28)) % 0.17/0.40 (define @t32 () (_ @t11 @t8)) % 0.17/0.40 (define @t33 () (=> @t32 (_ tptp.singleton @t31))) % 0.17/0.40 (define @t34 () (@list @t1)) % 0.17/0.40 (define @t35 () (forall @t34 @t33)) % 0.17/0.40 (define @t36 () (_ (_ (_ tptp.func @t8) @t29) @t23)) % 0.17/0.40 (define @t37 () (=> @t36 @t35)) % 0.17/0.40 (define @t38 () (@list @t8 @t29 @t23)) % 0.17/0.40 (define @t39 () (forall @t38 @t37)) % 0.17/0.40 (define @t40 () (= tptp.funcImageSingleton @t39)) % 0.17/0.40 (define @t41 () (=> @t32 (_ (_ tptp.in (_ @t24 (_ (_ (_ (_ tptp.ap @t8) @t29) @t23) @t1))) @t23))) % 0.17/0.40 (define @t42 () (forall @t34 @t41)) % 0.17/0.40 (define @t43 () (=> @t36 @t42)) % 0.17/0.40 (define @t44 () (forall @t38 @t43)) % 0.17/0.40 (define @t45 () (=> tptp.funcImageSingleton @t44)) % 0.17/0.40 (define @t46 () (=> tptp.theprop @t45)) % 0.17/0.40 (define @t47 () (=> tptp.dsetconstrER @t46)) % 0.17/0.40 (define @t48 () (not @t47)) % 0.17/0.40 (define @t49 () (_ (_ tptp.setadjoin @t1) tptp.emptyset)) % 0.17/0.40 (define @t50 () (= @t8 @t49)) % 0.17/0.40 (define @t51 () (and @t32 @t50)) % 0.17/0.40 (define @t52 () (exists @t34 @t51)) % 0.17/0.40 (define @t53 () (@list @t8)) % 0.17/0.40 (define @t54 () (lambda @t53 @t52)) % 0.17/0.40 (define @t55 () (lambda @t34 @t3)) % 0.17/0.40 (define @t56 () (_ @t9 @t55)) % 0.17/0.40 (define @t57 () (@list @t8 @t2)) % 0.17/0.40 (define @t58 () (lambda @t57 (_ tptp.singleton @t56))) % 0.17/0.40 (define @t59 () (_ (_ tptp.cartprod @t8) @t29)) % 0.17/0.40 (define @t60 () (@var "C" $$unsorted)) % 0.17/0.40 (define @t61 () (_ (_ tptp.subset @t60) @t59)) % 0.17/0.40 (define @t62 () (lambda (@list @t8 @t29 @t60) @t61)) % 0.17/0.40 (define @t63 () (@var "R" $$unsorted)) % 0.17/0.40 (define @t64 () (_ @t26 @t63)) % 0.17/0.40 (define @t65 () (lambda @t6 @t64)) % 0.17/0.40 (define @t66 () (=> @t32 (_ (_ tptp.ex1 @t29) @t65))) % 0.17/0.40 (define @t67 () (forall @t34 @t66)) % 0.17/0.40 (define @t68 () (and (_ (_ (_ tptp.breln @t8) @t29) @t63) @t67)) % 0.17/0.40 (define @t69 () (@list @t8 @t29 @t63)) % 0.17/0.40 (define @t70 () (lambda @t69 @t68)) % 0.17/0.40 (define @t71 () (_ tptp.setunion @t31)) % 0.17/0.40 (define @t72 () (lambda (@list @t8 @t29 @t23 @t1) @t71)) % 0.17/0.40 (define @t73 () (@var "BOUND_VARIABLE_7937" $$unsorted)) % 0.17/0.40 (define @t74 () (tptp.in (tptp.kpair @t73 (tptp.setunion (tptp.dsetconstr @t29 (lambda @t6 (tptp.in (tptp.kpair @t73 @t4) @t23))))) @t23)) % 0.17/0.40 (define @t75 () (not (tptp.in @t73 @t8))) % 0.17/0.40 (define @t76 () (tptp.kpair @t1 @t4)) % 0.17/0.40 (define @t77 () (tptp.in @t76 @t23)) % 0.17/0.40 (define @t78 () (lambda @t6 @t77)) % 0.17/0.40 (define @t79 () (tptp.dsetconstr @t29 @t78)) % 0.17/0.40 (define @t80 () (@var "BOUND_VARIABLE_7597" $$unsorted)) % 0.17/0.40 (define @t81 () (tptp.setadjoin @t80 tptp.emptyset)) % 0.17/0.40 (define @t82 () (@list @t80)) % 0.17/0.40 (define @t83 () (tptp.in @t1 @t8)) % 0.17/0.40 (define @t84 () (not @t83)) % 0.17/0.40 (define @t85 () (forall @t34 (or @t84 (not (forall @t82 (or (not (tptp.in @t80 @t79)) (not (= @t81 @t79)))))))) % 0.17/0.40 (define @t86 () (not @t85)) % 0.17/0.40 (define @t87 () (tptp.cartprod @t8 @t29)) % 0.17/0.40 (define @t88 () (tptp.subset @t23 @t87)) % 0.17/0.40 (define @t89 () (not @t88)) % 0.17/0.40 (define @t90 () (or @t89 @t86 @t75 @t74)) % 0.17/0.40 (define @t91 () (@list @t8 @t29 @t23 @t73)) % 0.17/0.40 (define @t92 () (forall @t91 @t90)) % 0.17/0.40 (define @t93 () (@var "BOUND_VARIABLE_7861" $$unsorted)) % 0.17/0.40 (define @t94 () (tptp.dsetconstr @t29 (lambda @t6 (tptp.in (tptp.kpair @t93 @t4) @t23)))) % 0.17/0.40 (define @t95 () (@var "BOUND_VARIABLE_7812" $$unsorted)) % 0.17/0.40 (define @t96 () (tptp.setadjoin @t95 tptp.emptyset)) % 0.17/0.40 (define @t97 () (not (= @t94 @t96))) % 0.17/0.40 (define @t98 () (not (tptp.in @t95 @t94))) % 0.17/0.40 (define @t99 () (or @t98 @t97)) % 0.17/0.40 (define @t100 () (@list @t95)) % 0.17/0.40 (define @t101 () (forall @t100 @t99)) % 0.17/0.40 (define @t102 () (not @t101)) % 0.17/0.40 (define @t103 () (not (tptp.in @t93 @t8))) % 0.17/0.40 (define @t104 () (or @t89 @t86 @t103 @t102)) % 0.17/0.40 (define @t105 () (or @t103 @t102)) % 0.17/0.40 (define @t106 () (or @t89 @t86 @t105)) % 0.17/0.40 (define @t107 () (forall (@list @t8 @t29 @t23 @t93) @t106)) % 0.17/0.40 (define @t108 () (@list @t93)) % 0.17/0.40 (define @t109 () (forall @t108 @t106)) % 0.17/0.40 (define @t110 () (forall @t108 @t105)) % 0.17/0.40 (define @t111 () (@list @t1)) % 0.17/0.40 (define @t112 () (or @t89 @t86 @t110)) % 0.17/0.40 (define @t113 () (not (forall @t100 (or (not (tptp.in @t95 @t79)) (not (= @t79 @t96)))))) % 0.17/0.40 (define @t114 () (forall @t34 (or @t84 @t113))) % 0.17/0.40 (define @t115 () (_ tptp.subset @t23)) % 0.17/0.40 (define @t116 () (_ @t115 @t59)) % 0.17/0.40 (define @t117 () (not @t116)) % 0.17/0.40 (define @t118 () (or @t117 @t86 @t114)) % 0.17/0.40 (define @t119 () (or @t117 @t86)) % 0.17/0.40 (define @t120 () (and @t116 @t85)) % 0.17/0.40 (define @t121 () (not @t120)) % 0.17/0.40 (define @t122 () (not @t32)) % 0.17/0.40 (define @t123 () (or @t122 @t113)) % 0.17/0.40 (define @t124 () (_ tptp.in @t76)) % 0.17/0.40 (define @t125 () (= @t31 @t96)) % 0.17/0.40 (define @t126 () (not @t125)) % 0.17/0.40 (define @t127 () (tptp.in @t95 @t31)) % 0.17/0.40 (define @t128 () (not @t127)) % 0.17/0.40 (define @t129 () (or @t128 @t126)) % 0.17/0.40 (define @t130 () (forall @t100 @t129)) % 0.17/0.40 (define @t131 () (not @t130)) % 0.17/0.40 (define @t132 () (tptp.setadjoin @t1 tptp.emptyset)) % 0.17/0.40 (define @t133 () (forall @t34 (or @t84 (not (= @t8 @t132))))) % 0.17/0.40 (define @t134 () (not @t133)) % 0.17/0.40 (define @t135 () (lambda @t53 @t134)) % 0.17/0.40 (define @t136 () (=> @t32 (_ @t135 @t31))) % 0.17/0.40 (define @t137 () (forall @t34 @t136)) % 0.17/0.40 (define @t138 () (tptp.in @t76 @t63)) % 0.17/0.40 (define @t139 () (tptp.dsetconstr @t29 (lambda @t6 @t138))) % 0.17/0.40 (define @t140 () (not (forall @t82 (or (not (tptp.in @t80 @t139)) (not (= @t81 @t139)))))) % 0.17/0.40 (define @t141 () (_ (_ tptp.subset @t63) @t59)) % 0.17/0.40 (define @t142 () (and @t141 (forall @t34 (or @t84 @t140)))) % 0.17/0.40 (define @t143 () (lambda (@list @t63) @t142)) % 0.17/0.40 (define @t144 () (lambda (@list @t29 @t63) @t142)) % 0.17/0.40 (define @t145 () (_ (lambda @t69 @t142) @t8)) % 0.17/0.40 (define @t146 () (_ (_ @t145 @t29) @t23)) % 0.17/0.40 (define @t147 () (=> @t146 @t137)) % 0.17/0.40 (define @t148 () (forall @t38 @t147)) % 0.17/0.40 (define @t149 () (not @t50)) % 0.17/0.40 (define @t150 () (or @t122 @t149)) % 0.17/0.40 (define @t151 () (forall @t34 (not @t51))) % 0.17/0.40 (define @t152 () (not @t151)) % 0.17/0.40 (define @t153 () (or @t122 @t140)) % 0.17/0.40 (define @t154 () (tptp.dsetconstr @t29 @t65)) % 0.17/0.40 (define @t155 () (= @t81 @t154)) % 0.17/0.40 (define @t156 () (not @t155)) % 0.17/0.40 (define @t157 () (tptp.in @t80 @t154)) % 0.17/0.40 (define @t158 () (not @t157)) % 0.17/0.40 (define @t159 () (or @t158 @t156)) % 0.17/0.40 (define @t160 () (not (= @t154 @t81))) % 0.17/0.40 (define @t161 () (or @t158 @t160)) % 0.17/0.40 (define @t162 () (forall @t82 @t161)) % 0.17/0.40 (define @t163 () (not @t162)) % 0.17/0.40 (define @t164 () (tptp.dsetconstr @t29 @t2)) % 0.17/0.40 (define @t165 () (not (tptp.in @t80 @t164))) % 0.17/0.40 (define @t166 () (@list @t2)) % 0.17/0.40 (define @t167 () (not (= @t81 @t164))) % 0.17/0.40 (define @t168 () (or @t165 @t167)) % 0.17/0.40 (define @t169 () (forall @t82 @t168)) % 0.17/0.40 (define @t170 () (not @t169)) % 0.17/0.40 (define @t171 () (forall @t34 (or (not (tptp.in @t1 @t164)) (not (= @t132 @t164))))) % 0.17/0.40 (define @t172 () (not @t171)) % 0.17/0.40 (define @t173 () (lambda @t166 @t172)) % 0.17/0.40 (define @t174 () (tptp.dsetconstr @t8 @t2)) % 0.17/0.40 (define @t175 () (not (tptp.in @t1 @t174))) % 0.17/0.40 (define @t176 () (_ (lambda @t57 (not (forall @t34 (or @t175 (not (= @t132 @t174)))))) @t29)) % 0.17/0.40 (define @t177 () (=> @t32 (_ @t176 @t65))) % 0.17/0.40 (define @t178 () (forall @t34 @t177)) % 0.17/0.40 (define @t179 () (lambda (@list @t60) @t61)) % 0.17/0.40 (define @t180 () (lambda (@list @t29 @t60) @t61)) % 0.17/0.40 (define @t181 () (_ @t62 @t8)) % 0.17/0.40 (define @t182 () (@var "BOUND_VARIABLE_7490" $$unsorted)) % 0.17/0.40 (define @t183 () (_ @t2 @t182)) % 0.17/0.40 (define @t184 () (@list @t182)) % 0.17/0.40 (define @t185 () (lambda @t184 @t183)) % 0.17/0.40 (define @t186 () (tptp.dsetconstr @t8 @t185)) % 0.17/0.40 (define @t187 () (= @t132 @t186)) % 0.17/0.40 (define @t188 () (not @t187)) % 0.17/0.40 (define @t189 () (tptp.in @t1 @t186)) % 0.17/0.40 (define @t190 () (not @t189)) % 0.17/0.40 (define @t191 () (or @t190 @t188)) % 0.17/0.40 (define @t192 () (_ @t2 @t182)) % 0.17/0.40 (define @t193 () (lambda @t184 @t192)) % 0.17/0.40 (define @t194 () (_ @t9 @t193)) % 0.17/0.40 (define @t195 () (= @t132 @t194)) % 0.17/0.40 (define @t196 () (not @t195)) % 0.17/0.40 (define @t197 () (tptp.in @t1 @t194)) % 0.17/0.40 (define @t198 () (not @t197)) % 0.17/0.40 (define @t199 () (or @t198 @t196)) % 0.17/0.40 (define @t200 () (= @t132 @t56)) % 0.17/0.40 (define @t201 () (not @t200)) % 0.17/0.40 (define @t202 () (tptp.in @t1 @t56)) % 0.17/0.40 (define @t203 () (not @t202)) % 0.17/0.40 (define @t204 () (or @t203 @t201)) % 0.17/0.40 (define @t205 () (not (= @t56 @t132))) % 0.17/0.40 (define @t206 () (or @t203 @t205)) % 0.17/0.40 (define @t207 () (forall @t34 @t206)) % 0.17/0.40 (define @t208 () (not @t207)) % 0.17/0.40 (define @t209 () (=> tptp.funcImageSingleton @t92)) % 0.17/0.40 (define @t210 () (@var "BOUND_VARIABLE_7746" $$unsorted)) % 0.17/0.40 (define @t211 () (tptp.setadjoin @t210 tptp.emptyset)) % 0.17/0.40 (define @t212 () (not (tptp.in @t210 @t211))) % 0.17/0.40 (define @t213 () (tptp.in (tptp.setunion @t211) @t211)) % 0.17/0.40 (define @t214 () (not (= @t211 @t211))) % 0.17/0.40 (define @t215 () (or @t213 @t212 @t214)) % 0.17/0.40 (define @t216 () (@list @t210)) % 0.17/0.40 (define @t217 () (not (= @t16 @t211))) % 0.17/0.40 (define @t218 () (not (tptp.in @t210 @t16))) % 0.17/0.40 (define @t219 () (tptp.setunion @t16)) % 0.17/0.40 (define @t220 () (tptp.in @t219 @t16)) % 0.17/0.40 (define @t221 () (or @t217 @t220 @t218 @t217)) % 0.17/0.40 (define @t222 () (or @t220 @t218 @t217)) % 0.17/0.40 (define @t223 () (forall @t20 @t222)) % 0.17/0.40 (define @t224 () (forall @t216 @t223)) % 0.17/0.40 (define @t225 () (forall (@list @t210 @t16) @t222)) % 0.17/0.40 (define @t226 () (@list @t16 @t210)) % 0.17/0.40 (define @t227 () (not (= @t211 @t16))) % 0.17/0.40 (define @t228 () (or @t220 @t218 @t227)) % 0.17/0.40 (define @t229 () (or @t218 @t227)) % 0.17/0.40 (define @t230 () (or @t229 @t220)) % 0.17/0.40 (define @t231 () (forall @t226 @t230)) % 0.17/0.40 (define @t232 () (forall @t216 @t230)) % 0.17/0.40 (define @t233 () (forall @t216 @t229)) % 0.17/0.40 (define @t234 () (or @t233 @t220)) % 0.17/0.40 (define @t235 () (not (tptp.in @t1 @t16))) % 0.17/0.40 (define @t236 () (forall @t34 (or @t235 (not (= @t132 @t16))))) % 0.17/0.40 (define @t237 () (or @t236 @t18)) % 0.17/0.40 (define @t238 () (not @t236)) % 0.17/0.40 (define @t239 () (not (= @t16 @t132))) % 0.17/0.40 (define @t240 () (or @t235 @t239)) % 0.17/0.40 (define @t241 () (forall @t34 @t240)) % 0.17/0.40 (define @t242 () (not @t241)) % 0.17/0.40 (define @t243 () (_ @t135 @t16)) % 0.17/0.40 (define @t244 () (=> @t243 @t18)) % 0.17/0.40 (define @t245 () (forall @t20 @t244)) % 0.17/0.40 (define @t246 () (=> tptp.theprop @t209)) % 0.17/0.40 (define @t247 () (_ @t2 @t1)) % 0.17/0.40 (define @t248 () (_ @t2 @t4)) % 0.17/0.40 (define @t249 () (lambda @t6 @t248)) % 0.17/0.40 (define @t250 () (tptp.dsetconstr @t8 @t249)) % 0.17/0.40 (define @t251 () (tptp.in @t1 @t250)) % 0.17/0.40 (define @t252 () (not @t251)) % 0.17/0.40 (define @t253 () (or @t252 @t247)) % 0.17/0.40 (define @t254 () (not @t12)) % 0.17/0.40 (define @t255 () (or @t254 @t3)) % 0.17/0.40 (define @t256 () (=> tptp.dsetconstrER @t246)) % 0.17/0.40 (define @t257 () (or @t75 @t74)) % 0.17/0.40 (define @t258 () (or @t89 @t86 @t257)) % 0.17/0.40 (define @t259 () (forall @t91 @t258)) % 0.17/0.40 (define @t260 () (@list @t73)) % 0.17/0.40 (define @t261 () (forall @t260 @t258)) % 0.17/0.40 (define @t262 () (forall @t260 @t257)) % 0.17/0.40 (define @t263 () (or @t89 @t86 @t262)) % 0.17/0.40 (define @t264 () (tptp.setunion @t79)) % 0.17/0.40 (define @t265 () (tptp.kpair @t1 @t264)) % 0.17/0.40 (define @t266 () (tptp.in @t265 @t23)) % 0.17/0.40 (define @t267 () (forall @t34 (or @t84 @t266))) % 0.17/0.40 (define @t268 () (or @t117 @t86 @t267)) % 0.17/0.40 (define @t269 () (_ @t24 @t71)) % 0.17/0.40 (define @t270 () (_ (_ tptp.in @t269) @t23)) % 0.17/0.40 (define @t271 () (or @t122 @t270)) % 0.17/0.40 (define @t272 () (lambda @t34 @t71)) % 0.17/0.40 (define @t273 () (lambda (@list @t23 @t1) @t71)) % 0.17/0.40 (define @t274 () (lambda (@list @t29 @t23 @t1) @t71)) % 0.17/0.40 (define @t275 () (_ @t72 @t8)) % 0.17/0.40 (define @t276 () (=> @t32 (_ (_ tptp.in (_ @t24 (_ (_ (_ @t275 @t29) @t23) @t1))) @t23))) % 0.17/0.40 (define @t277 () (forall @t34 @t276)) % 0.17/0.40 (define @t278 () (=> @t146 @t277)) % 0.17/0.40 (define @t279 () (forall @t38 @t278)) % 0.17/0.40 (define @t280 () (=> tptp.funcImageSingleton @t279)) % 0.17/0.40 (define @t281 () (=> tptp.theprop @t280)) % 0.17/0.40 (define @t282 () (=> tptp.dsetconstrER @t281)) % 0.17/0.40 (define @t283 () (@quantifiers_skolemize @t92 2)) % 0.17/0.40 (define @t284 () (@quantifiers_skolemize @t92 3)) % 0.17/0.40 (define @t285 () (tptp.in (tptp.kpair @t284 @t4) @t283)) % 0.17/0.40 (define @t286 () (lambda @t6 @t285)) % 0.17/0.40 (define @t287 () (@purify @t286)) % 0.17/0.40 (define @t288 () (_ @t287 @t4)) % 0.17/0.40 (define @t289 () (_ @t286 @t4)) % 0.17/0.40 (define @t290 () (= @t288 @t289)) % 0.17/0.40 (define @t291 () (forall @t6 @t290)) % 0.17/0.40 (define @t292 () (@quantifiers_skolemize @t92 1)) % 0.17/0.40 (define @t293 () (tptp.dsetconstr @t292 @t287)) % 0.17/0.40 (define @t294 () (tptp.setunion @t293)) % 0.17/0.40 (define @t295 () (tptp.in (tptp.kpair @t284 @t294) @t283)) % 0.17/0.40 (define @t296 () (@quantifiers_skolemize @t92 0)) % 0.17/0.40 (define @t297 () (tptp.in @t284 @t296)) % 0.17/0.40 (define @t298 () (not @t297)) % 0.17/0.40 (define @t299 () (tptp.dsetconstr @t292 (lambda @t6 (tptp.in @t76 @t283)))) % 0.17/0.40 (define @t300 () (forall @t34 (or (not (tptp.in @t1 @t296)) (not (forall @t82 (or (not (tptp.in @t80 @t299)) (not (= @t81 @t299)))))))) % 0.17/0.40 (define @t301 () (not @t300)) % 0.17/0.40 (define @t302 () (tptp.subset @t283 (tptp.cartprod @t296 @t292))) % 0.17/0.40 (define @t303 () (not @t302)) % 0.17/0.40 (define @t304 () (or @t303 @t301 @t298 @t295)) % 0.17/0.40 (define @t305 () (not @t304)) % 0.17/0.40 (define @t306 () (not @t92)) % 0.17/0.40 (define @t307 () (tptp.dsetconstr @t292 @t286)) % 0.17/0.40 (define @t308 () (tptp.setunion @t307)) % 0.17/0.40 (define @t309 () (tptp.kpair @t284 @t308)) % 0.17/0.40 (define @t310 () (tptp.in @t309 @t283)) % 0.17/0.40 (define @t311 () (or @t303 @t301 @t298 @t310)) % 0.17/0.40 (define @t312 () (not @t311)) % 0.17/0.40 (define @t313 () (@list true)) % 0.17/0.40 (define @t314 () (@list @t304)) % 0.17/0.40 (define @t315 () (_ @t287 @t294)) % 0.17/0.40 (define @t316 () (= @t295 @t315)) % 0.17/0.40 (define @t317 () (not @t315)) % 0.17/0.40 (define @t318 () (@list true false)) % 0.17/0.40 (define @t319 () (forall @t100 (or (not (tptp.in @t95 @t307)) (not (= @t96 @t307))))) % 0.17/0.40 (define @t320 () (not @t319)) % 0.17/0.40 (define @t321 () (or @t303 @t301 @t298 @t320)) % 0.17/0.40 (define @t322 () (@quantifiers_skolemize @t319 0)) % 0.17/0.40 (define @t323 () (tptp.setadjoin @t322 tptp.emptyset)) % 0.17/0.40 (define @t324 () (= @t293 @t323)) % 0.17/0.40 (define @t325 () (not @t324)) % 0.17/0.40 (define @t326 () (tptp.in @t322 @t293)) % 0.17/0.40 (define @t327 () (not @t326)) % 0.17/0.40 (define @t328 () (or @t327 @t325)) % 0.17/0.40 (define @t329 () (not @t328)) % 0.17/0.40 (define @t330 () (= @t307 @t323)) % 0.17/0.40 (define @t331 () (not @t330)) % 0.17/0.40 (define @t332 () (tptp.in @t322 @t307)) % 0.17/0.40 (define @t333 () (not @t332)) % 0.17/0.40 (define @t334 () (or @t333 @t331)) % 0.17/0.40 (define @t335 () (not @t334)) % 0.17/0.40 (define @t336 () (not (= @t323 @t307))) % 0.17/0.40 (define @t337 () (or @t333 @t336)) % 0.17/0.40 (define @t338 () (not @t337)) % 0.17/0.40 (define @t339 () (@list @t328)) % 0.17/0.40 (define @t340 () (tptp.setunion @t323)) % 0.17/0.40 (define @t341 () (_ @t287 @t340)) % 0.17/0.40 (define @t342 () (tptp.in @t322 @t323)) % 0.17/0.40 (define @t343 () (not @t342)) % 0.17/0.40 (define @t344 () (tptp.in @t340 @t323)) % 0.17/0.40 (define @t345 () (or @t344 @t343)) % 0.17/0.40 (define @t346 () (tptp.in @t340 @t293)) % 0.17/0.40 (define @t347 () (not @t346)) % 0.17/0.40 (define @t348 () (or @t347 @t341)) % 0.17/0.40 (define @t349 () (not @t348)) % 0.17/0.40 (define @t350 () (forall @t13 (or @t175 @t247))) % 0.17/0.40 (assume @p1 @t15) % 0.17/0.40 (assume @p2 @t22) % 0.17/0.40 (assume @p3 @t40) % 0.17/0.40 (assume @p4 @t48) % 0.17/0.40 (assume @p5 true) % 0.17/0.40 (step @p6 (= tptp.singleton @t54) :rule refl :args (@t54)) % 0.17/0.40 (step @p7 (= tptp.ex1 @t58) :rule refl :args (@t58)) % 0.17/0.40 (step @p8 (= tptp.breln @t62) :rule refl :args (@t62)) % 0.17/0.40 (step @p9 (= tptp.func @t70) :rule refl :args (@t70)) % 0.17/0.40 (step @p10 (= tptp.ap @t72) :rule refl :args (@t72)) % 0.17/0.40 (step @p11 :rule refl :args (@t92)) % 0.17/0.40 (step @p12 :rule eq-symm :args (@t94 @t96)) % 0.17/0.40 (step @p13 :rule cong :premises (@p12) :args (@t97)) % 0.17/0.40 (step @p14 :rule refl :args (@t98)) % 0.17/0.40 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t99)) % 0.17/0.40 (step @p16 :rule cong :premises (@p15) :args (@t101)) % 0.17/0.40 (step @p17 :rule cong :premises (@p16) :args (@t102)) % 0.17/0.40 (step @p18 :rule refl :args (@t103)) % 0.17/0.40 (step @p19 :rule refl :args (@t86)) % 0.17/0.40 (step @p20 :rule refl :args (@t89)) % 0.17/0.40 (step @p21 :rule nary_cong :premises (@p20 @p19 @p18 @p17) :args (@t104)) % 0.17/0.40 (step @p22 :rule aci_norm :args ((= @t106 @t104))) % 0.17/0.40 (step @p23 :rule trans :premises (@p22 @p21)) % 0.17/0.40 (step @p24 :rule cong :premises (@p23) :args (@t107)) % 0.17/0.40 (step @p25 :rule quant-merge-prenex :args ((= (forall @t38 @t109) @t107))) % 0.17/0.40 (step @p26 :rule alpha_equiv :args (@t110 (@list @t93) @t111)) % 0.17/0.40 (step @p27 :rule refl :args (@t86)) % 0.17/0.40 (step @p28 :rule refl :args (@t89)) % 0.17/0.40 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26) :args (@t112)) % 0.17/0.40 (step @p30 :rule quant-miniscope-or :args ((= @t109 @t112))) % 0.17/0.40 (step @p31 :rule trans :premises (@p30 @p29)) % 0.17/0.40 (step @p32 :rule symm :premises (@p31)) % 0.17/0.40 (step @p33 :rule cong :premises (@p32) :args ((forall @t38 (or @t89 @t86 @t114)))) % 0.17/0.40 (step @p34 :rule trans :premises (@p33 @p25)) % 0.17/0.40 (step @p35 :rule trans :premises (@p34 @p24)) % 0.17/0.40 (step @p36 :rule refl :args (@t114)) % 0.17/0.40 (step @p37 :rule refl :args ((tptp.subset @t23 @t59))) % 0.17/0.40 (step @p38 :rule refl :args (@t87)) % 0.17/0.40 (step @p39 :rule refl :args (@t23)) % 0.17/0.40 (step @p40 :rule cong :premises (@p39 @p38) :args (@t88)) % 0.17/0.40 (step @p41 :rule trans :premises (@p40 @p37)) % 0.17/0.40 (step @p42 :rule refl :args (@t115)) % 0.17/0.40 (step @p43 :rule ho_cong :premises (@p42 @p38)) % 0.17/0.40 (step @p44 :rule cong :premises (@p43 @p41) :args ((= (_ @t115 @t87) @t88))) % 0.17/0.40 (step @p45 :rule symm :premises (@p44)) % 0.17/0.40 (step @p46 :rule refl :args (@t116)) % 0.17/0.40 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.17/0.40 (step @p48 :rule refl :args (@t59)) % 0.17/0.40 (step @p49 :rule cong :premises (@p48 @p38) :args ((= @t59 @t87))) % 0.17/0.40 (step @p50 :rule symm :premises (@p49)) % 0.17/0.40 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.17/0.40 (step @p52 :rule ho_cong :premises (@p42 @p51)) % 0.17/0.40 (step @p53 :rule trans :premises (@p52 @p47)) % 0.17/0.40 (step @p54 :rule cong :premises (@p53) :args (@t117)) % 0.17/0.40 (step @p55 :rule nary_cong :premises (@p54 @p27 @p36) :args (@t118)) % 0.17/0.40 (step @p56 :rule cong :premises (@p55) :args ((forall @t38 @t118))) % 0.17/0.40 (step @p57 :rule trans :premises (@p56 @p35)) % 0.17/0.40 (step @p58 :rule aci_norm :args ((= (or @t119 @t114) @t118))) % 0.17/0.40 (step @p59 :rule bool-and-de-morgan :args (@t116 @t85 true)) % 0.17/0.40 (step @p60 :rule nary_cong :premises (@p59 @p36) :args ((or @t121 @t114))) % 0.17/0.40 (step @p61 :rule trans :premises (@p60 @p58)) % 0.17/0.40 (step @p62 :rule bool-impl-elim :args (@t120 @t114)) % 0.17/0.40 (step @p63 :rule trans :premises (@p62 @p61)) % 0.17/0.40 (step @p64 :rule cong :premises (@p63) :args ((forall @t38 (=> @t120 @t114)))) % 0.17/0.40 (step @p65 :rule trans :premises (@p64 @p57)) % 0.17/0.40 (step @p66 :rule refl :args (@t113)) % 0.17/0.40 (step @p67 :rule refl :args (@t83)) % 0.17/0.40 (step @p68 :rule refl :args (@t32)) % 0.17/0.40 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t32 @t83))) % 0.17/0.40 (step @p70 :rule symm :premises (@p69)) % 0.17/0.40 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.17/0.40 (step @p72 :rule cong :premises (@p71) :args (@t122)) % 0.17/0.40 (step @p73 :rule nary_cong :premises (@p72 @p66) :args (@t123)) % 0.17/0.40 (step @p74 :rule cong :premises (@p73) :args ((forall @t34 @t123))) % 0.17/0.40 (step @p75 :rule bool-impl-elim :args (@t32 @t113)) % 0.17/0.40 (step @p76 :rule cong :premises (@p75) :args ((forall @t34 (=> @t32 @t113)))) % 0.17/0.40 (step @p77 :rule trans :premises (@p76 @p74)) % 0.17/0.40 (step @p78 :rule refl :args (@t96)) % 0.17/0.40 (step @p79 :rule refl :args ((tptp.dsetconstr @t29 @t28))) % 0.17/0.40 (step @p80 :rule refl :args ((tptp.in @t25 @t23))) % 0.17/0.40 (step @p81 :rule refl :args (@t76)) % 0.17/0.40 (step @p82 :rule cong :premises (@p81 @p39) :args (@t77)) % 0.17/0.40 (step @p83 :rule trans :premises (@p82 @p80)) % 0.17/0.40 (step @p84 :rule cong :premises (@p83) :args (@t78)) % 0.17/0.40 (step @p85 :rule refl :args (@t29)) % 0.17/0.40 (step @p86 :rule cong :premises (@p85 @p84) :args (@t79)) % 0.17/0.40 (step @p87 :rule trans :premises (@p86 @p79)) % 0.17/0.40 (step @p88 :rule refl :args (@t30)) % 0.17/0.40 (step @p89 :rule ho_cong :premises (@p88 @p84)) % 0.17/0.40 (step @p90 :rule cong :premises (@p89 @p87) :args ((= (_ @t30 @t78) @t79))) % 0.17/0.40 (step @p91 :rule symm :premises (@p90)) % 0.17/0.40 (step @p92 :rule refl :args (@t31)) % 0.17/0.40 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.17/0.40 (step @p94 :rule refl :args (tptp.in)) % 0.17/0.40 (step @p95 :rule ho_cong :premises (@p94 @p81)) % 0.17/0.40 (step @p96 :rule ho_cong :premises (@p95 @p39)) % 0.17/0.40 (step @p97 :rule cong :premises (@p96 @p83) :args ((= (_ @t124 @t23) @t77))) % 0.17/0.40 (step @p98 :rule symm :premises (@p97)) % 0.17/0.40 (step @p99 :rule refl :args (@t27)) % 0.17/0.40 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.17/0.40 (step @p101 :rule refl :args (@t25)) % 0.17/0.40 (step @p102 :rule cong :premises (@p101 @p81) :args ((= @t25 @t76))) % 0.17/0.40 (step @p103 :rule symm :premises (@p102)) % 0.17/0.40 (step @p104 :rule eq_resolve :premises (@p101 @p103)) % 0.17/0.40 (step @p105 :rule ho_cong :premises (@p94 @p104)) % 0.17/0.40 (step @p106 :rule ho_cong :premises (@p105 @p39)) % 0.17/0.40 (step @p107 :rule trans :premises (@p106 @p100)) % 0.17/0.40 (step @p108 :rule cong :premises (@p107) :args (@t28)) % 0.17/0.40 (step @p109 :rule ho_cong :premises (@p88 @p108)) % 0.17/0.40 (step @p110 :rule trans :premises (@p109 @p93)) % 0.17/0.40 (step @p111 :rule cong :premises (@p110 @p78) :args (@t125)) % 0.17/0.40 (step @p112 :rule cong :premises (@p111) :args (@t126)) % 0.17/0.40 (step @p113 :rule refl :args (@t95)) % 0.17/0.40 (step @p114 :rule cong :premises (@p113 @p110) :args (@t127)) % 0.17/0.40 (step @p115 :rule cong :premises (@p114) :args (@t128)) % 0.17/0.40 (step @p116 :rule nary_cong :premises (@p115 @p112) :args (@t129)) % 0.17/0.40 (step @p117 :rule cong :premises 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@p626 :rule reordering :premises (@p625) :args ((or @t297 @t304))) % 0.17/0.40 (step @p627 :rule chain_m_resolution :premises (@p626 @p612) :args (@t297 @t313 @t314)) % 0.17/0.40 (step @p628 :rule bool-double-not-elim :args (@t300)) % 0.17/0.40 (step @p629 :rule nary_cong :premises (@p622 @p628) :args ((or @t304 (not @t301)))) % 0.17/0.40 (step @p630 :rule cnf_or_neg :args (@t304 1)) % 0.17/0.40 (step @p631 :rule eq_resolve :premises (@p630 @p629)) % 0.17/0.40 (step @p632 :rule reordering :premises (@p631) :args ((or @t300 @t304))) % 0.17/0.40 (step @p633 :rule chain_m_resolution :premises (@p632 @p612) :args (@t300 @t313 @t314)) % 0.17/0.40 (step @p634 :rule bool-double-not-elim :args (@t302)) % 0.17/0.40 (step @p635 :rule nary_cong :premises (@p622 @p634) :args ((or @t304 (not @t303)))) % 0.17/0.40 (step @p636 :rule cnf_or_neg :args (@t304 0)) % 0.17/0.40 (step @p637 :rule eq_resolve :premises (@p636 @p635)) % 0.17/0.40 (step @p638 :rule reordering :premises (@p637) :args ((or @t302 @t304))) % 0.17/0.40 (step @p639 :rule chain_m_resolution :premises (@p638 @p612) :args (@t302 @t313 @t314)) % 0.17/0.40 (step @p640 :rule cnf_or_pos :args (@t321)) % 0.17/0.40 (step @p641 :rule reordering :premises (@p640) :args ((or @t303 @t301 @t298 @t320 (not @t321)))) % 0.17/0.40 (step @p642 :rule chain_m_resolution :premises (@p641 @p639 @p633 @p627 @p620) :args (@t320 (@list false false false false) (@list @t302 @t300 @t297 @t321))) % 0.17/0.40 (step @p643 :rule refl :args (@t329)) % 0.17/0.40 (step @p644 :rule bool-double-not-elim :args (@t319)) % 0.17/0.40 (step @p645 :rule nary_cong :premises (@p644 @p643) :args ((or (not @t320) @t329))) % 0.17/0.40 (step @p646 :rule refl :args (@t323)) % 0.17/0.40 (step @p647 :rule cong :premises (@p593 @p646) :args (@t330)) % 0.17/0.40 (step @p648 :rule cong :premises (@p647) :args (@t331)) % 0.17/0.40 (step @p649 :rule refl :args (@t322)) % 0.17/0.40 (step @p650 :rule cong :premises (@p649 @p593) :args (@t332)) % 0.17/0.40 (step @p651 :rule cong :premises (@p650) :args (@t333)) % 0.17/0.40 (step @p652 :rule nary_cong :premises (@p651 @p648) :args (@t334)) % 0.17/0.40 (step @p653 :rule cong :premises (@p652) :args (@t335)) % 0.17/0.40 (step @p654 :rule refl :args (@t320)) % 0.17/0.40 (step @p655 :rule cong :premises (@p654 @p653) :args ((=> @t320 @t335))) % 0.17/0.40 (step @p656 :rule eq-symm :args (@t323 @t307)) % 0.17/0.40 (step @p657 :rule cong :premises (@p656) :args (@t336)) % 0.17/0.40 (step @p658 :rule refl :args (@t333)) % 0.17/0.40 (step @p659 :rule nary_cong :premises (@p658 @p657) :args (@t337)) % 0.17/0.40 (step @p660 :rule cong :premises (@p659) :args (@t338)) % 0.17/0.40 (step @p661 :rule cong :premises (@p654 @p660) :args ((=> @t320 @t338))) % 0.17/0.40 (step @p662 :rule trans :premises (@p661 @p655)) % 0.17/0.40 (assume-push @p714 @t320) % 0.17/0.40 (step @p664 :rule skolemize :premises (@p642)) % 0.17/0.40 (step-pop @p715 :rule scope :premises (@p664)) % 0.17/0.40 (step @p665 :rule process_scope :premises (@p715) :args (@t338)) % 0.17/0.40 (step @p667 :rule eq_resolve :premises (@p665 @p662)) % 0.17/0.40 (step @p668 :rule implies_elim :premises (@p667)) % 0.17/0.40 (step @p669 :rule eq_resolve :premises (@p668 @p645)) % 0.17/0.40 (step @p670 :rule chain_m_resolution :premises (@p669 @p642) :args (@t329 @t313 (@list @t319))) % 0.17/0.40 (step @p671 :rule bool-double-not-elim :args (@t324)) % 0.17/0.40 (step @p672 :rule refl :args (@t328)) % 0.17/0.40 (step @p673 :rule nary_cong :premises (@p672 @p671) :args ((or @t328 (not @t325)))) % 0.17/0.40 (step @p674 :rule cnf_or_neg :args (@t328 1)) % 0.17/0.40 (step @p675 :rule eq_resolve :premises (@p674 @p673)) % 0.17/0.40 (step @p676 :rule reordering :premises (@p675) :args ((or @t324 @t328))) % 0.17/0.40 (step @p677 :rule chain_m_resolution :premises (@p676 @p670) :args (@t324 @t313 @t339)) % 0.17/0.40 (step @p678 :rule symm :premises (@p677)) % 0.17/0.40 (step @p679 :rule cong :premises (@p678) :args (@t340)) % 0.17/0.40 (step @p680 :rule cong :premises (@p679) :args (@t341)) % 0.17/0.40 (step @p681 :rule trans :premises (@p680 @p618)) % 0.17/0.40 (step @p682 :rule false_elim :premises (@p681)) % 0.17/0.40 (step @p683 :rule not_implies_elim1 :premises (@p580)) % 0.17/0.40 (step @p684 :rule instantiate :premises (@p683) :args ((@list @t322))) % 0.17/0.40 (step @p685 :rule bool-double-not-elim :args (@t326)) % 0.17/0.40 (step @p686 :rule nary_cong :premises (@p672 @p685) :args ((or @t328 (not @t327)))) % 0.17/0.40 (step @p687 :rule cnf_or_neg :args (@t328 0)) % 0.17/0.40 (step @p688 :rule eq_resolve :premises (@p687 @p686)) % 0.17/0.40 (step @p689 :rule reordering :premises (@p688) :args ((or @t326 @t328))) % 0.17/0.40 (step @p690 :rule chain_m_resolution :premises (@p689 @p670) :args (@t326 @t313 @t339)) % 0.17/0.40 (step @p691 :rule true_intro :premises (@p690)) % 0.17/0.40 (step @p692 :rule cong :premises (@p649 @p678) :args (@t342)) % 0.17/0.40 (step @p693 :rule trans :premises (@p692 @p691)) % 0.17/0.40 (step @p694 :rule true_elim :premises (@p693)) % 0.17/0.40 (step @p695 :rule cnf_or_pos :args (@t345)) % 0.17/0.40 (step @p696 :rule reordering :premises (@p695) :args ((or @t344 @t343 (not @t345)))) % 0.17/0.40 (step @p697 :rule chain_m_resolution :premises (@p696 @p694 @p684) :args (@t344 (@list false false) (@list @t342 @t345))) % 0.17/0.40 (step @p698 :rule true_intro :premises (@p697)) % 0.17/0.40 (step @p699 :rule refl :args (@t340)) % 0.17/0.40 (step @p700 :rule cong :premises (@p699 @p677) :args (@t346)) % 0.17/0.40 (step @p701 :rule trans :premises (@p700 @p698)) % 0.17/0.40 (step @p702 :rule true_elim :premises (@p701)) % 0.17/0.40 (step @p703 :rule cnf_or_pos :args (@t348)) % 0.17/0.40 (step @p704 :rule reordering :premises (@p703) :args ((or @t347 @t341 @t349))) % 0.17/0.40 (step @p705 :rule chain_m_resolution :premises (@p704 @p702 @p682) :args (@t349 (@list false true) (@list @t346 @t341))) % 0.17/0.40 (assume-push @p716 @t350) % 0.17/0.40 (step @p707 :rule instantiate :premises (@p559) :args ((@list @t292 @t287 @t340))) % 0.17/0.40 (step-pop @p717 :rule scope :premises (@p707)) % 0.17/0.40 (step @p708 :rule process_scope :premises (@p717) :args (@t348)) % 0.17/0.40 (step @p710 :rule implies_elim :premises (@p708)) % 0.17/0.40 (step @p711 false :rule chain_m_resolution :premises (@p710 @p705 @p559) :args (false @t318 (@list @t348 @t350))) % 0.17/0.40 ) % 0.17/0.40 % SZS output end Proof % 0.17/0.40 % cvc5 exiting %------------------------------------------------------------------------------