%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU677^2 : 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 : n029.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 08:52:41 AM UTC 2026 % Result : Theorem 0.36s 0.61s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU677^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:45:47 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.36/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.61 % SZS status Theorem % 0.36/0.61 % SZS output start Proof % 0.36/0.61 ( % 0.36/0.61 (declare-sort $$unsorted 0) % 0.36/0.61 (declare-const tptp.emptyset $$unsorted) % 0.36/0.61 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.36/0.61 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.powersetI1 Bool) % 0.36/0.61 (declare-const tptp.dsetconstrI Bool) % 0.36/0.61 (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)))))))) % 0.36/0.61 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 0.36/0.61 (define tptp.breln () (let ((_let_1 (@var "B" $$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))))))) % 0.36/0.61 (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" $$unsorted))) (lambda (@list _let_5 _let_4 _let_1) (and (_ (_ (_ tptp.breln _let_5) _let_4) _let_1) (forall (@list _let_3) (=> (_ (_ tptp.in _let_3) _let_5) (_ (_ tptp.ex1 _let_4) (lambda (@list _let_2) (_ (_ tptp.in (_ (_ tptp.kpair _let_3) _let_2)) _let_1))))))))))))) % 0.36/0.61 (define tptp.funcSet () (let ((_let_1 (@var "Xf" $$unsorted))) (let ((_let_2 (@var "B" $$unsorted))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ (_ tptp.dsetconstr (_ tptp.powerset (_ (_ tptp.cartprod _let_3) _let_2))) (lambda (@list _let_1) (_ (_ (_ tptp.func _let_3) _let_2) _let_1)))))))) % 0.36/0.61 (define @t1 () (@var "Xy" $$unsorted)) % 0.36/0.61 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 0.36/0.61 (define @t3 () (_ @t2 @t1)) % 0.36/0.61 (define @t4 () (@list @t1)) % 0.36/0.61 (define @t5 () (lambda @t4 @t3)) % 0.36/0.61 (define @t6 () (@var "A" $$unsorted)) % 0.36/0.61 (define @t7 () (_ tptp.dsetconstr @t6)) % 0.36/0.61 (define @t8 () (_ @t7 @t5)) % 0.36/0.61 (define @t9 () (@var "Xx" $$unsorted)) % 0.36/0.61 (define @t10 () (_ tptp.in @t9)) % 0.36/0.61 (define @t11 () (_ @t10 @t8)) % 0.36/0.61 (define @t12 () (_ @t2 @t9)) % 0.36/0.61 (define @t13 () (=> @t12 @t11)) % 0.36/0.61 (define @t14 () (_ @t10 @t6)) % 0.36/0.61 (define @t15 () (@list @t6 @t2 @t9)) % 0.36/0.61 (define @t16 () (forall @t15 (=> @t14 @t13))) % 0.36/0.61 (define @t17 () (= tptp.dsetconstrI @t16)) % 0.36/0.61 (define @t18 () (_ tptp.powerset @t6)) % 0.36/0.61 (define @t19 () (@var "B" $$unsorted)) % 0.36/0.61 (define @t20 () (_ tptp.in @t19)) % 0.36/0.61 (define @t21 () (_ @t20 @t18)) % 0.36/0.61 (define @t22 () (_ (_ tptp.subset @t19) @t6)) % 0.36/0.61 (define @t23 () (@list @t6 @t19)) % 0.36/0.61 (define @t24 () (forall @t23 (=> @t22 @t21))) % 0.36/0.61 (define @t25 () (= tptp.powersetI1 @t24)) % 0.36/0.61 (define @t26 () (@var "Xf" $$unsorted)) % 0.36/0.61 (define @t27 () (_ tptp.in @t26)) % 0.36/0.61 (define @t28 () (_ (_ (_ tptp.func @t6) @t19) @t26)) % 0.36/0.61 (define @t29 () (=> @t28 (_ @t27 (_ (_ tptp.funcSet @t6) @t19)))) % 0.36/0.61 (define @t30 () (@list @t6 @t19 @t26)) % 0.36/0.61 (define @t31 () (forall @t30 @t29)) % 0.36/0.61 (define @t32 () (=> tptp.powersetI1 @t31)) % 0.36/0.61 (define @t33 () (=> tptp.dsetconstrI @t32)) % 0.36/0.61 (define @t34 () (not @t33)) % 0.36/0.61 (define @t35 () (_ (_ tptp.setadjoin @t9) tptp.emptyset)) % 0.36/0.61 (define @t36 () (= @t6 @t35)) % 0.36/0.61 (define @t37 () (and @t14 @t36)) % 0.36/0.61 (define @t38 () (@list @t9)) % 0.36/0.61 (define @t39 () (exists @t38 @t37)) % 0.36/0.61 (define @t40 () (@list @t6)) % 0.36/0.61 (define @t41 () (lambda @t40 @t39)) % 0.36/0.61 (define @t42 () (lambda @t38 @t12)) % 0.36/0.61 (define @t43 () (_ @t7 @t42)) % 0.36/0.61 (define @t44 () (@list @t6 @t2)) % 0.36/0.61 (define @t45 () (lambda @t44 (_ tptp.singleton @t43))) % 0.36/0.61 (define @t46 () (_ (_ tptp.cartprod @t6) @t19)) % 0.36/0.61 (define @t47 () (@var "C" $$unsorted)) % 0.36/0.61 (define @t48 () (_ (_ tptp.subset @t47) @t46)) % 0.36/0.61 (define @t49 () (lambda (@list @t6 @t19 @t47) @t48)) % 0.36/0.61 (define @t50 () (@var "R" $$unsorted)) % 0.36/0.61 (define @t51 () (_ (_ tptp.kpair @t9) @t1)) % 0.36/0.61 (define @t52 () (_ tptp.in @t51)) % 0.36/0.61 (define @t53 () (_ @t52 @t50)) % 0.36/0.61 (define @t54 () (lambda @t4 @t53)) % 0.36/0.61 (define @t55 () (=> @t14 (_ (_ tptp.ex1 @t19) @t54))) % 0.36/0.61 (define @t56 () (forall @t38 @t55)) % 0.36/0.61 (define @t57 () (and (_ (_ (_ tptp.breln @t6) @t19) @t50) @t56)) % 0.36/0.61 (define @t58 () (@list @t6 @t19 @t50)) % 0.36/0.61 (define @t59 () (lambda @t58 @t57)) % 0.36/0.61 (define @t60 () (@list @t26)) % 0.36/0.61 (define @t61 () (lambda @t60 @t28)) % 0.36/0.61 (define @t62 () (_ tptp.powerset @t46)) % 0.36/0.61 (define @t63 () (_ tptp.dsetconstr @t62)) % 0.36/0.61 (define @t64 () (lambda @t23 (_ @t63 @t61))) % 0.36/0.61 (define @t65 () (@var "BOUND_VARIABLE_7777" $$unsorted)) % 0.36/0.61 (define @t66 () (tptp.kpair @t9 @t1)) % 0.36/0.61 (define @t67 () (tptp.in @t66 @t65)) % 0.36/0.61 (define @t68 () (lambda @t4 @t67)) % 0.36/0.61 (define @t69 () (tptp.dsetconstr @t19 @t68)) % 0.36/0.61 (define @t70 () (@var "BOUND_VARIABLE_7598" $$unsorted)) % 0.36/0.61 (define @t71 () (tptp.setadjoin @t70 tptp.emptyset)) % 0.36/0.61 (define @t72 () (= @t71 @t69)) % 0.36/0.61 (define @t73 () (not @t72)) % 0.36/0.61 (define @t74 () (tptp.in @t70 @t69)) % 0.36/0.61 (define @t75 () (not @t74)) % 0.36/0.61 (define @t76 () (or @t75 @t73)) % 0.36/0.61 (define @t77 () (@list @t70)) % 0.36/0.61 (define @t78 () (forall @t77 @t76)) % 0.36/0.61 (define @t79 () (not @t78)) % 0.36/0.61 (define @t80 () (tptp.in @t9 @t6)) % 0.36/0.61 (define @t81 () (not @t80)) % 0.36/0.61 (define @t82 () (or @t81 @t79)) % 0.36/0.61 (define @t83 () (forall @t38 @t82)) % 0.36/0.61 (define @t84 () (tptp.cartprod @t6 @t19)) % 0.36/0.61 (define @t85 () (tptp.subset @t65 @t84)) % 0.36/0.61 (define @t86 () (and @t85 @t83)) % 0.36/0.61 (define @t87 () (@list @t65)) % 0.36/0.61 (define @t88 () (lambda @t87 @t86)) % 0.36/0.61 (define @t89 () (tptp.powerset @t84)) % 0.36/0.61 (define @t90 () (tptp.dsetconstr @t89 @t88)) % 0.36/0.61 (define @t91 () (tptp.in @t26 @t90)) % 0.36/0.61 (define @t92 () (tptp.dsetconstr @t19 (lambda @t4 (tptp.in @t66 @t26)))) % 0.36/0.61 (define @t93 () (forall @t38 (or @t81 (not (forall @t77 (or (not (tptp.in @t70 @t92)) (not (= @t71 @t92)))))))) % 0.36/0.61 (define @t94 () (not @t93)) % 0.36/0.61 (define @t95 () (tptp.subset @t26 @t84)) % 0.36/0.61 (define @t96 () (forall @t30 (or (not @t95) @t94 @t91))) % 0.36/0.61 (define @t97 () (tptp.powerset @t6)) % 0.36/0.61 (define @t98 () (tptp.in @t19 @t97)) % 0.36/0.61 (define @t99 () (tptp.subset @t19 @t6)) % 0.36/0.61 (define @t100 () (not @t22)) % 0.36/0.61 (define @t101 () (or @t100 @t21)) % 0.36/0.61 (define @t102 () (=> tptp.powersetI1 @t96)) % 0.36/0.61 (define @t103 () (_ @t2 @t1)) % 0.36/0.61 (define @t104 () (lambda @t4 @t103)) % 0.36/0.61 (define @t105 () (tptp.dsetconstr @t6 @t104)) % 0.36/0.61 (define @t106 () (tptp.in @t9 @t105)) % 0.36/0.61 (define @t107 () (_ @t2 @t9)) % 0.36/0.61 (define @t108 () (not @t107)) % 0.36/0.61 (define @t109 () (or @t81 @t108 @t106)) % 0.36/0.61 (define @t110 () (not @t12)) % 0.36/0.61 (define @t111 () (not @t14)) % 0.36/0.61 (define @t112 () (or @t111 @t110 @t11)) % 0.36/0.61 (define @t113 () (=> tptp.dsetconstrI @t102)) % 0.36/0.61 (define @t114 () (lambda @t4 (_ @t52 @t65))) % 0.36/0.61 (define @t115 () (_ (_ tptp.dsetconstr @t19) @t114)) % 0.36/0.61 (define @t116 () (_ tptp.subset @t65)) % 0.36/0.61 (define @t117 () (_ @t116 @t46)) % 0.36/0.61 (define @t118 () (lambda @t87 (and @t117 (forall @t38 (or @t111 (not (forall @t77 (or (not (_ (_ tptp.in @t70) @t115)) (not (= (_ (_ tptp.setadjoin @t70) tptp.emptyset) @t115)))))))))) % 0.36/0.61 (define @t119 () (_ @t63 @t118)) % 0.36/0.61 (define @t120 () (and @t117 @t83)) % 0.36/0.61 (define @t121 () (lambda @t87 @t120)) % 0.36/0.61 (define @t122 () (_ tptp.subset @t26)) % 0.36/0.61 (define @t123 () (_ @t122 @t46)) % 0.36/0.61 (define @t124 () (not @t123)) % 0.36/0.61 (define @t125 () (_ @t27 (_ @t63 @t121))) % 0.36/0.61 (define @t126 () (or @t124 @t94 @t125)) % 0.36/0.61 (define @t127 () (and @t123 @t93)) % 0.36/0.61 (define @t128 () (lambda @t60 @t127)) % 0.36/0.61 (define @t129 () (_ @t63 @t128)) % 0.36/0.61 (define @t130 () (=> @t127 (_ @t27 @t129))) % 0.36/0.61 (define @t131 () (lambda (@list @t19) @t129)) % 0.36/0.61 (define @t132 () (_ (lambda @t23 @t129) @t6)) % 0.36/0.61 (define @t133 () (tptp.in @t66 @t50)) % 0.36/0.61 (define @t134 () (tptp.dsetconstr @t19 (lambda @t4 @t133))) % 0.36/0.61 (define @t135 () (not (forall @t77 (or (not (tptp.in @t70 @t134)) (not (= @t71 @t134)))))) % 0.36/0.61 (define @t136 () (_ (_ tptp.subset @t50) @t46)) % 0.36/0.61 (define @t137 () (and @t136 (forall @t38 (or @t81 @t135)))) % 0.36/0.61 (define @t138 () (lambda (@list @t50) @t137)) % 0.36/0.61 (define @t139 () (lambda (@list @t19 @t50) @t137)) % 0.36/0.61 (define @t140 () (_ (lambda @t58 @t137) @t6)) % 0.36/0.61 (define @t141 () (_ (_ @t140 @t19) @t26)) % 0.36/0.61 (define @t142 () (=> @t141 (_ @t27 (_ @t132 @t19)))) % 0.36/0.61 (define @t143 () (forall @t30 @t142)) % 0.36/0.61 (define @t144 () (=> tptp.powersetI1 @t143)) % 0.36/0.61 (define @t145 () (=> tptp.dsetconstrI @t144)) % 0.36/0.61 (define @t146 () (or @t111 @t135)) % 0.36/0.61 (define @t147 () (tptp.dsetconstr @t19 @t54)) % 0.36/0.61 (define @t148 () (= @t71 @t147)) % 0.36/0.61 (define @t149 () (not @t148)) % 0.36/0.61 (define @t150 () (tptp.in @t70 @t147)) % 0.36/0.61 (define @t151 () (not @t150)) % 0.36/0.61 (define @t152 () (or @t151 @t149)) % 0.36/0.61 (define @t153 () (not (= @t147 @t71))) % 0.36/0.61 (define @t154 () (or @t151 @t153)) % 0.36/0.61 (define @t155 () (forall @t77 @t154)) % 0.36/0.61 (define @t156 () (not @t155)) % 0.36/0.61 (define @t157 () (tptp.dsetconstr @t19 @t2)) % 0.36/0.61 (define @t158 () (not (tptp.in @t70 @t157))) % 0.36/0.61 (define @t159 () (@list @t2)) % 0.36/0.61 (define @t160 () (not (= @t71 @t157))) % 0.36/0.61 (define @t161 () (or @t158 @t160)) % 0.36/0.61 (define @t162 () (forall @t77 @t161)) % 0.36/0.61 (define @t163 () (not @t162)) % 0.36/0.61 (define @t164 () (tptp.setadjoin @t9 tptp.emptyset)) % 0.36/0.61 (define @t165 () (forall @t38 (or (not (tptp.in @t9 @t157)) (not (= @t164 @t157))))) % 0.36/0.61 (define @t166 () (@list @t9)) % 0.36/0.61 (define @t167 () (not @t165)) % 0.36/0.61 (define @t168 () (lambda @t159 @t167)) % 0.36/0.61 (define @t169 () (tptp.dsetconstr @t6 @t2)) % 0.36/0.61 (define @t170 () (_ (lambda @t44 (not (forall @t38 (or (not (tptp.in @t9 @t169)) (not (= @t164 @t169)))))) @t19)) % 0.36/0.61 (define @t171 () (=> @t14 (_ @t170 @t54))) % 0.36/0.61 (define @t172 () (forall @t38 @t171)) % 0.36/0.61 (define @t173 () (lambda (@list @t47) @t48)) % 0.36/0.61 (define @t174 () (lambda (@list @t19 @t47) @t48)) % 0.36/0.61 (define @t175 () (_ @t49 @t6)) % 0.36/0.61 (define @t176 () (@var "BOUND_VARIABLE_7502" $$unsorted)) % 0.36/0.61 (define @t177 () (_ @t2 @t176)) % 0.36/0.61 (define @t178 () (@list @t176)) % 0.36/0.61 (define @t179 () (lambda @t178 @t177)) % 0.36/0.61 (define @t180 () (tptp.dsetconstr @t6 @t179)) % 0.36/0.61 (define @t181 () (= @t164 @t180)) % 0.36/0.61 (define @t182 () (not @t181)) % 0.36/0.61 (define @t183 () (tptp.in @t9 @t180)) % 0.36/0.61 (define @t184 () (not @t183)) % 0.36/0.61 (define @t185 () (or @t184 @t182)) % 0.36/0.61 (define @t186 () (_ @t2 @t176)) % 0.36/0.61 (define @t187 () (lambda @t178 @t186)) % 0.36/0.61 (define @t188 () (_ @t7 @t187)) % 0.36/0.61 (define @t189 () (= @t164 @t188)) % 0.36/0.61 (define @t190 () (not @t189)) % 0.36/0.61 (define @t191 () (tptp.in @t9 @t188)) % 0.36/0.61 (define @t192 () (not @t191)) % 0.36/0.61 (define @t193 () (or @t192 @t190)) % 0.36/0.61 (define @t194 () (= @t164 @t43)) % 0.36/0.61 (define @t195 () (not @t194)) % 0.36/0.61 (define @t196 () (tptp.in @t9 @t43)) % 0.36/0.61 (define @t197 () (not @t196)) % 0.36/0.61 (define @t198 () (or @t197 @t195)) % 0.36/0.61 (define @t199 () (not (= @t43 @t164))) % 0.36/0.61 (define @t200 () (or @t197 @t199)) % 0.36/0.61 (define @t201 () (forall @t38 @t200)) % 0.36/0.61 (define @t202 () (not @t201)) % 0.36/0.61 (define @t203 () (not @t36)) % 0.36/0.61 (define @t204 () (or @t111 @t203)) % 0.36/0.61 (define @t205 () (forall @t38 (not @t37))) % 0.36/0.61 (define @t206 () (not @t205)) % 0.36/0.61 (define @t207 () (@quantifiers_skolemize @t96 1)) % 0.36/0.61 (define @t208 () (tptp.dsetconstr @t207 @t68)) % 0.36/0.61 (define @t209 () (@quantifiers_skolemize @t96 0)) % 0.36/0.61 (define @t210 () (not (tptp.in @t9 @t209))) % 0.36/0.61 (define @t211 () (tptp.cartprod @t209 @t207)) % 0.36/0.61 (define @t212 () (and (tptp.subset @t65 @t211) (forall @t38 (or @t210 (not (forall @t77 (or (not (tptp.in @t70 @t208)) (not (= @t71 @t208))))))))) % 0.36/0.61 (define @t213 () (lambda @t87 @t212)) % 0.36/0.61 (define @t214 () (@purify @t213)) % 0.36/0.61 (define @t215 () (tptp.powerset @t211)) % 0.36/0.61 (define @t216 () (@quantifiers_skolemize @t96 2)) % 0.36/0.61 (define @t217 () (tptp.in @t216 (tptp.dsetconstr @t215 @t214))) % 0.36/0.61 (define @t218 () (tptp.dsetconstr @t207 (lambda @t4 (tptp.in @t66 @t216)))) % 0.36/0.61 (define @t219 () (forall @t38 (or @t210 (not (forall @t77 (or (not (tptp.in @t70 @t218)) (not (= @t71 @t218)))))))) % 0.36/0.61 (define @t220 () (not @t219)) % 0.36/0.61 (define @t221 () (tptp.subset @t216 @t211)) % 0.36/0.61 (define @t222 () (not @t221)) % 0.36/0.61 (define @t223 () (or @t222 @t220 @t217)) % 0.36/0.61 (define @t224 () (not @t223)) % 0.36/0.61 (define @t225 () (not @t96)) % 0.36/0.61 (define @t226 () (tptp.dsetconstr @t215 @t213)) % 0.36/0.61 (define @t227 () (tptp.in @t216 @t226)) % 0.36/0.61 (define @t228 () (or @t222 @t220 @t227)) % 0.36/0.61 (define @t229 () (not @t228)) % 0.36/0.61 (define @t230 () (@list true)) % 0.36/0.61 (define @t231 () (@list @t223)) % 0.36/0.61 (define @t232 () (tptp.in @t216 @t215)) % 0.36/0.61 (define @t233 () (or @t222 @t232)) % 0.36/0.61 (define @t234 () (@list false false)) % 0.36/0.61 (define @t235 () (_ @t214 @t65)) % 0.36/0.61 (define @t236 () (_ @t213 @t65)) % 0.36/0.61 (define @t237 () (= @t235 @t236)) % 0.36/0.61 (define @t238 () (forall @t87 @t237)) % 0.36/0.61 (define @t239 () (and @t221 @t219)) % 0.36/0.61 (define @t240 () (_ @t214 @t216)) % 0.36/0.61 (define @t241 () (forall @t87 (= @t212 @t235))) % 0.36/0.61 (define @t242 () (= @t239 @t240)) % 0.36/0.61 (define @t243 () (= @t240 @t239)) % 0.36/0.61 (define @t244 () (not @t240)) % 0.36/0.61 (define @t245 () (not @t232)) % 0.36/0.61 (define @t246 () (or @t245 @t244 @t217)) % 0.36/0.61 (assume @p1 @t17) % 0.36/0.61 (assume @p2 @t25) % 0.36/0.61 (assume @p3 @t34) % 0.36/0.61 (assume @p4 true) % 0.36/0.61 (step @p5 (= tptp.singleton @t41) :rule refl :args (@t41)) % 0.36/0.61 (step @p6 (= tptp.ex1 @t45) :rule refl :args (@t45)) % 0.36/0.61 (step @p7 (= tptp.breln @t49) :rule refl :args (@t49)) % 0.36/0.61 (step @p8 (= tptp.func @t59) :rule refl :args (@t59)) % 0.36/0.61 (step @p9 (= tptp.funcSet @t64) :rule refl :args (@t64)) % 0.36/0.61 (step @p10 :rule refl :args (@t96)) % 0.36/0.61 (step @p11 :rule refl :args ((tptp.in @t19 @t18))) % 0.36/0.61 (step @p12 :rule refl :args (@t97)) % 0.36/0.61 (step @p13 :rule refl :args (@t19)) % 0.36/0.61 (step @p14 :rule cong :premises (@p13 @p12) :args (@t98)) % 0.36/0.61 (step @p15 :rule trans :premises (@p14 @p11)) % 0.36/0.61 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@t212)) % 0.36/0.62 (step @p472 :rule beta-reduce :args ((= @t236 @t212))) % 0.36/0.62 (step @p473 :rule refl :args (@t235)) % 0.36/0.62 (step @p474 :rule cong :premises (@p473 @p472) :args (@t237)) % 0.36/0.62 (step @p475 :rule trans :premises (@p474 @p471)) % 0.36/0.62 (step @p476 :rule cong :premises (@p475) :args (@t238)) % 0.36/0.62 (step @p477 :rule quant-unused-vars :args ((= (forall @t87 true) true))) % 0.36/0.62 (step @p478 :rule eq-refl :args (@t236)) % 0.36/0.62 (step @p479 :rule cong :premises (@p478) :args ((forall @t87 (= @t236 @t236)))) % 0.36/0.62 (step @p480 :rule trans :premises (@p479 @p477)) % 0.36/0.62 (step @p481 :rule refl :args (@t236)) % 0.36/0.62 (step @p482 :rule refl :args (@t65)) % 0.36/0.62 (step @p483 :rule ho_cong :premises (@p432 @p482)) % 0.36/0.62 (step @p484 :rule cong :premises (@p483 @p481) :args (@t237)) % 0.36/0.62 (step @p485 :rule cong :premises (@p484) :args (@t238)) % 0.36/0.62 (step @p486 :rule trans :premises (@p485 @p480)) % 0.36/0.62 (step @p487 :rule true_elim :premises (@p486)) % 0.36/0.62 (step @p488 :rule eq_resolve :premises (@p487 @p476)) % 0.36/0.62 (step @p489 :rule eq-symm :args (@t239 @t240)) % 0.36/0.62 (step @p490 :rule refl :args (@t241)) % 0.36/0.62 (step @p491 :rule cong :premises (@p490 @p489) :args ((=> @t241 @t242))) % 0.36/0.62 (assume-push @p516 @t241) % 0.36/0.62 (step @p493 :rule instantiate :premises (@p488) :args ((@list @t216))) % 0.36/0.62 (step-pop @p517 :rule scope :premises (@p493)) % 0.36/0.62 (step @p494 :rule process_scope :premises (@p517) :args (@t242)) % 0.36/0.62 (step @p496 :rule eq_resolve :premises (@p494 @p491)) % 0.36/0.62 (step @p497 :rule implies_elim :premises (@p496)) % 0.36/0.62 (step @p498 :rule chain_m_resolution :premises (@p497 @p488) :args (@t243 (@list false) (@list @t241))) % 0.36/0.62 (step @p499 :rule bool-double-not-elim :args (@t219)) % 0.36/0.62 (step @p500 :rule nary_cong :premises (@p462 @p499) :args ((or @t223 (not @t220)))) % 0.36/0.62 (step @p501 :rule cnf_or_neg :args (@t223 1)) % 0.36/0.62 (step @p502 :rule eq_resolve :premises (@p501 @p500)) % 0.36/0.62 (step @p503 :rule reordering :premises (@p502) :args ((or @t219 @t223))) % 0.36/0.62 (step @p504 :rule chain_m_resolution :premises (@p503 @p454) :args (@t219 @t230 @t231)) % 0.36/0.62 (step @p505 :rule cnf_and_neg :args (@t239)) % 0.36/0.62 (step @p506 :rule reordering :premises (@p505) :args ((or @t222 @t220 @t239))) % 0.36/0.62 (step @p507 :rule chain_m_resolution :premises (@p506 @p467 @p504) :args (@t239 @t234 (@list @t221 @t219))) % 0.36/0.62 (step @p508 :rule cnf_equiv_pos2 :args (@t243)) % 0.36/0.62 (step @p509 :rule reordering :premises (@p508) :args ((or @t240 (not @t239) (not @t243)))) % 0.36/0.62 (step @p510 :rule chain_m_resolution :premises (@p509 @p507 @p498) :args (@t240 @t234 (@list @t239 @t243))) % 0.36/0.62 (step @p511 :rule cnf_or_pos :args (@t246)) % 0.36/0.62 (step @p512 :rule reordering :premises (@p511) :args ((or @t217 @t245 @t244 (not @t246)))) % 0.36/0.62 (step @p513 false :rule chain_m_resolution :premises (@p512 @p510 @p470 @p458 @p456) :args (false (@list false false false true) (@list @t240 @t232 @t246 @t217))) % 0.36/0.62 ) % 0.36/0.62 % SZS output end Proof % 0.36/0.62 % cvc5 exiting %------------------------------------------------------------------------------