%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU674^2 : 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 08:52:41 AM UTC 2026 % Result : Theorem 0.36s 0.58s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU674^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % 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 17:45:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.36/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.58 % SZS status Theorem % 0.36/0.58 % SZS output start Proof % 0.36/0.58 ( % 0.36/0.58 (declare-sort $$unsorted 0) % 0.36/0.58 (declare-const tptp.emptyset $$unsorted) % 0.36/0.58 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.36/0.58 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.apProp Bool) % 0.36/0.58 (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)))))))) % 0.36/0.58 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 0.36/0.58 (define tptp.breln () (let ((_let_1 (@var "B" $$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))))))) % 0.36/0.58 (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" $$unsorted))) (lambda (@list _let_5 _let_4 _let_1) (and (_ (_ (_ tptp.breln _let_5) _let_4) _let_1) (forall (@list _let_3) (=> (_ (_ tptp.in _let_3) _let_5) (_ (_ tptp.ex1 _let_4) (lambda (@list _let_2) (_ (_ tptp.in (_ (_ tptp.kpair _let_3) _let_2)) _let_1))))))))))))) % 0.36/0.58 (define tptp.ap () (let ((_let_1 (@var "Xf" $$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)))))))))) % 0.36/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.58 (define @t2 () (@var "Xf" $$unsorted)) % 0.36/0.58 (define @t3 () (@var "Xy" $$unsorted)) % 0.36/0.58 (define @t4 () (@var "Xx" $$unsorted)) % 0.36/0.58 (define @t5 () (_ (_ tptp.kpair @t4) @t3)) % 0.36/0.58 (define @t6 () (_ tptp.in @t5)) % 0.36/0.58 (define @t7 () (_ @t6 @t2)) % 0.36/0.58 (define @t8 () (@list @t3)) % 0.36/0.58 (define @t9 () (lambda @t8 @t7)) % 0.36/0.58 (define @t10 () (_ tptp.dsetconstr @t1)) % 0.36/0.58 (define @t11 () (_ @t10 @t9)) % 0.36/0.58 (define @t12 () (_ tptp.setunion @t11)) % 0.36/0.58 (define @t13 () (_ (_ tptp.in @t12) @t1)) % 0.36/0.58 (define @t14 () (@var "A" $$unsorted)) % 0.36/0.58 (define @t15 () (_ (_ tptp.in @t4) @t14)) % 0.36/0.58 (define @t16 () (@list @t4)) % 0.36/0.58 (define @t17 () (forall @t16 (=> @t15 @t13))) % 0.36/0.58 (define @t18 () (_ (_ (_ tptp.func @t14) @t1) @t2)) % 0.36/0.58 (define @t19 () (=> @t18 @t17)) % 0.36/0.58 (define @t20 () (@list @t14 @t1 @t2)) % 0.36/0.58 (define @t21 () (forall @t20 @t19)) % 0.36/0.58 (define @t22 () (= tptp.apProp @t21)) % 0.36/0.58 (define @t23 () (=> @t15 (_ (_ tptp.in (_ (_ (_ (_ tptp.ap @t14) @t1) @t2) @t4)) @t1))) % 0.36/0.58 (define @t24 () (forall @t16 @t23)) % 0.36/0.58 (define @t25 () (=> @t18 @t24)) % 0.36/0.58 (define @t26 () (forall @t20 @t25)) % 0.36/0.58 (define @t27 () (=> tptp.apProp @t26)) % 0.36/0.58 (define @t28 () (not @t27)) % 0.36/0.58 (define @t29 () (_ (_ tptp.setadjoin @t4) tptp.emptyset)) % 0.36/0.58 (define @t30 () (= @t14 @t29)) % 0.36/0.58 (define @t31 () (and @t15 @t30)) % 0.36/0.58 (define @t32 () (exists @t16 @t31)) % 0.36/0.58 (define @t33 () (@list @t14)) % 0.36/0.58 (define @t34 () (lambda @t33 @t32)) % 0.36/0.58 (define @t35 () (@var "Xphi" (-> $$unsorted Bool))) % 0.36/0.58 (define @t36 () (lambda @t16 (_ @t35 @t4))) % 0.36/0.58 (define @t37 () (_ tptp.dsetconstr @t14)) % 0.36/0.58 (define @t38 () (_ @t37 @t36)) % 0.36/0.58 (define @t39 () (@list @t14 @t35)) % 0.36/0.58 (define @t40 () (lambda @t39 (_ tptp.singleton @t38))) % 0.36/0.58 (define @t41 () (_ (_ tptp.cartprod @t14) @t1)) % 0.36/0.58 (define @t42 () (@var "C" $$unsorted)) % 0.36/0.58 (define @t43 () (_ (_ tptp.subset @t42) @t41)) % 0.36/0.58 (define @t44 () (lambda (@list @t14 @t1 @t42) @t43)) % 0.36/0.58 (define @t45 () (@var "R" $$unsorted)) % 0.36/0.58 (define @t46 () (_ @t6 @t45)) % 0.36/0.58 (define @t47 () (lambda @t8 @t46)) % 0.36/0.58 (define @t48 () (=> @t15 (_ (_ tptp.ex1 @t1) @t47))) % 0.36/0.58 (define @t49 () (forall @t16 @t48)) % 0.36/0.58 (define @t50 () (and (_ (_ (_ tptp.breln @t14) @t1) @t45) @t49)) % 0.36/0.58 (define @t51 () (@list @t14 @t1 @t45)) % 0.36/0.58 (define @t52 () (lambda @t51 @t50)) % 0.36/0.58 (define @t53 () (lambda (@list @t14 @t1 @t2 @t4) @t12)) % 0.36/0.58 (define @t54 () (@var "BOUND_VARIABLE_7740" $$unsorted)) % 0.36/0.58 (define @t55 () (tptp.in (tptp.setunion (tptp.dsetconstr @t1 (lambda @t8 (tptp.in (tptp.kpair @t54 @t3) @t2)))) @t1)) % 0.36/0.58 (define @t56 () (not (tptp.in @t54 @t14))) % 0.36/0.58 (define @t57 () (tptp.kpair @t4 @t3)) % 0.36/0.58 (define @t58 () (tptp.in @t57 @t2)) % 0.36/0.58 (define @t59 () (lambda @t8 @t58)) % 0.36/0.58 (define @t60 () (tptp.dsetconstr @t1 @t59)) % 0.36/0.58 (define @t61 () (@var "BOUND_VARIABLE_7578" $$unsorted)) % 0.36/0.58 (define @t62 () (tptp.setadjoin @t61 tptp.emptyset)) % 0.36/0.58 (define @t63 () (@list @t61)) % 0.36/0.58 (define @t64 () (tptp.in @t4 @t14)) % 0.36/0.58 (define @t65 () (not @t64)) % 0.36/0.58 (define @t66 () (forall @t16 (or @t65 (not (forall @t63 (or (not (tptp.in @t61 @t60)) (not (= @t62 @t60)))))))) % 0.36/0.58 (define @t67 () (not @t66)) % 0.36/0.58 (define @t68 () (tptp.cartprod @t14 @t1)) % 0.36/0.58 (define @t69 () (tptp.subset @t2 @t68)) % 0.36/0.58 (define @t70 () (not @t69)) % 0.36/0.58 (define @t71 () (or @t70 @t67 @t56 @t55)) % 0.36/0.58 (define @t72 () (or @t56 @t55)) % 0.36/0.58 (define @t73 () (or @t70 @t67 @t72)) % 0.36/0.58 (define @t74 () (@list @t14 @t1 @t2 @t54)) % 0.36/0.58 (define @t75 () (forall @t74 @t73)) % 0.36/0.58 (define @t76 () (@list @t54)) % 0.36/0.58 (define @t77 () (forall @t76 @t73)) % 0.36/0.58 (define @t78 () (forall @t76 @t72)) % 0.36/0.58 (define @t79 () (@list @t4)) % 0.36/0.58 (define @t80 () (or @t70 @t67 @t78)) % 0.36/0.58 (define @t81 () (tptp.setunion @t60)) % 0.36/0.58 (define @t82 () (tptp.in @t81 @t1)) % 0.36/0.58 (define @t83 () (forall @t16 (or @t65 @t82))) % 0.36/0.58 (define @t84 () (_ tptp.subset @t2)) % 0.36/0.58 (define @t85 () (_ @t84 @t41)) % 0.36/0.58 (define @t86 () (not @t85)) % 0.36/0.58 (define @t87 () (or @t86 @t67 @t83)) % 0.36/0.58 (define @t88 () (and @t85 @t66)) % 0.36/0.58 (define @t89 () (_ tptp.in @t57)) % 0.36/0.58 (define @t90 () (not @t15)) % 0.36/0.58 (define @t91 () (or @t90 @t13)) % 0.36/0.58 (define @t92 () (lambda @t16 @t12)) % 0.36/0.58 (define @t93 () (lambda (@list @t2 @t4) @t12)) % 0.36/0.58 (define @t94 () (lambda (@list @t1 @t2 @t4) @t12)) % 0.36/0.58 (define @t95 () (_ @t53 @t14)) % 0.36/0.58 (define @t96 () (=> @t15 (_ (_ tptp.in (_ (_ (_ @t95 @t1) @t2) @t4)) @t1))) % 0.36/0.58 (define @t97 () (forall @t16 @t96)) % 0.36/0.58 (define @t98 () (tptp.in @t57 @t45)) % 0.36/0.58 (define @t99 () (tptp.dsetconstr @t1 (lambda @t8 @t98))) % 0.36/0.58 (define @t100 () (not (forall @t63 (or (not (tptp.in @t61 @t99)) (not (= @t62 @t99)))))) % 0.36/0.58 (define @t101 () (_ (_ tptp.subset @t45) @t41)) % 0.36/0.58 (define @t102 () (and @t101 (forall @t16 (or @t65 @t100)))) % 0.36/0.58 (define @t103 () (lambda (@list @t45) @t102)) % 0.36/0.58 (define @t104 () (lambda (@list @t1 @t45) @t102)) % 0.36/0.58 (define @t105 () (_ (lambda @t51 @t102) @t14)) % 0.36/0.58 (define @t106 () (_ (_ @t105 @t1) @t2)) % 0.36/0.58 (define @t107 () (=> @t106 @t97)) % 0.36/0.58 (define @t108 () (forall @t20 @t107)) % 0.36/0.58 (define @t109 () (=> tptp.apProp @t108)) % 0.36/0.58 (define @t110 () (or @t90 @t100)) % 0.36/0.58 (define @t111 () (tptp.dsetconstr @t1 @t47)) % 0.36/0.58 (define @t112 () (= @t62 @t111)) % 0.36/0.58 (define @t113 () (not @t112)) % 0.36/0.58 (define @t114 () (tptp.in @t61 @t111)) % 0.36/0.58 (define @t115 () (not @t114)) % 0.36/0.58 (define @t116 () (or @t115 @t113)) % 0.36/0.58 (define @t117 () (not (= @t111 @t62))) % 0.36/0.58 (define @t118 () (or @t115 @t117)) % 0.36/0.58 (define @t119 () (forall @t63 @t118)) % 0.36/0.58 (define @t120 () (not @t119)) % 0.36/0.58 (define @t121 () (tptp.dsetconstr @t1 @t35)) % 0.36/0.58 (define @t122 () (not (tptp.in @t61 @t121))) % 0.36/0.58 (define @t123 () (@list @t35)) % 0.36/0.58 (define @t124 () (not (= @t62 @t121))) % 0.36/0.58 (define @t125 () (or @t122 @t124)) % 0.36/0.58 (define @t126 () (forall @t63 @t125)) % 0.36/0.58 (define @t127 () (not @t126)) % 0.36/0.58 (define @t128 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.36/0.58 (define @t129 () (forall @t16 (or (not (tptp.in @t4 @t121)) (not (= @t128 @t121))))) % 0.36/0.58 (define @t130 () (not @t129)) % 0.36/0.58 (define @t131 () (lambda @t123 @t130)) % 0.36/0.58 (define @t132 () (tptp.dsetconstr @t14 @t35)) % 0.36/0.58 (define @t133 () (_ (lambda @t39 (not (forall @t16 (or (not (tptp.in @t4 @t132)) (not (= @t128 @t132)))))) @t1)) % 0.36/0.58 (define @t134 () (=> @t15 (_ @t133 @t47))) % 0.36/0.58 (define @t135 () (forall @t16 @t134)) % 0.36/0.58 (define @t136 () (lambda (@list @t42) @t43)) % 0.36/0.58 (define @t137 () (lambda (@list @t1 @t42) @t43)) % 0.36/0.58 (define @t138 () (_ @t44 @t14)) % 0.36/0.58 (define @t139 () (@var "BOUND_VARIABLE_7479" $$unsorted)) % 0.36/0.58 (define @t140 () (_ @t35 @t139)) % 0.36/0.58 (define @t141 () (@list @t139)) % 0.36/0.58 (define @t142 () (lambda @t141 @t140)) % 0.36/0.58 (define @t143 () (tptp.dsetconstr @t14 @t142)) % 0.36/0.58 (define @t144 () (= @t128 @t143)) % 0.36/0.58 (define @t145 () (not @t144)) % 0.36/0.58 (define @t146 () (tptp.in @t4 @t143)) % 0.36/0.58 (define @t147 () (not @t146)) % 0.36/0.58 (define @t148 () (or @t147 @t145)) % 0.36/0.58 (define @t149 () (_ @t35 @t139)) % 0.36/0.58 (define @t150 () (lambda @t141 @t149)) % 0.36/0.58 (define @t151 () (_ @t37 @t150)) % 0.36/0.58 (define @t152 () (= @t128 @t151)) % 0.36/0.58 (define @t153 () (not @t152)) % 0.36/0.58 (define @t154 () (tptp.in @t4 @t151)) % 0.36/0.58 (define @t155 () (not @t154)) % 0.36/0.58 (define @t156 () (or @t155 @t153)) % 0.36/0.58 (define @t157 () (= @t128 @t38)) % 0.36/0.58 (define @t158 () (not @t157)) % 0.36/0.58 (define @t159 () (tptp.in @t4 @t38)) % 0.36/0.58 (define @t160 () (not @t159)) % 0.36/0.58 (define @t161 () (or @t160 @t158)) % 0.36/0.58 (define @t162 () (not (= @t38 @t128))) % 0.36/0.58 (define @t163 () (or @t160 @t162)) % 0.36/0.58 (define @t164 () (forall @t16 @t163)) % 0.36/0.58 (define @t165 () (not @t164)) % 0.36/0.58 (define @t166 () (not @t30)) % 0.36/0.58 (define @t167 () (or @t90 @t166)) % 0.36/0.58 (define @t168 () (forall @t16 (not @t31))) % 0.36/0.58 (define @t169 () (not @t168)) % 0.36/0.58 (define @t170 () (forall @t74 @t71)) % 0.36/0.58 (define @t171 () (=> @t106 @t17)) % 0.36/0.58 (define @t172 () (forall @t20 @t171)) % 0.36/0.58 (assume @p1 @t22) % 0.36/0.58 (assume @p2 @t28) % 0.36/0.58 (assume @p3 true) % 0.36/0.58 (step @p4 (= tptp.singleton @t34) :rule refl :args (@t34)) % 0.36/0.58 (step @p5 (= tptp.ex1 @t40) :rule refl :args (@t40)) % 0.36/0.58 (step @p6 (= tptp.breln @t44) :rule refl :args (@t44)) % 0.36/0.58 (step @p7 (= tptp.func @t52) :rule refl :args (@t52)) % 0.36/0.58 (step @p8 (= tptp.ap @t53) :rule refl :args (@t53)) % 0.36/0.58 (step @p9 :rule aci_norm :args ((= @t73 @t71))) % 0.36/0.58 (step @p10 :rule cong :premises (@p9) :args (@t75)) % 0.36/0.58 (step @p11 :rule quant-merge-prenex :args ((= (forall @t20 @t77) @t75))) % 0.36/0.58 (step @p12 :rule alpha_equiv :args (@t78 (@list @t54) @t79)) % 0.36/0.58 (step @p13 :rule refl :args (@t67)) % 0.36/0.58 (step @p14 :rule refl :args (@t70)) % 0.36/0.58 (step @p15 :rule nary_cong :premises (@p14 @p13 @p12) :args (@t80)) % 0.36/0.58 (step @p16 :rule quant-miniscope-or :args ((= @t77 @t80))) % 0.36/0.58 (step @p17 :rule trans :premises (@p16 @p15)) % 0.36/0.58 (step @p18 :rule symm :premises (@p17)) % 0.36/0.58 (step @p19 :rule cong :premises (@p18) :args ((forall @t20 (or @t70 @t67 @t83)))) % 0.36/0.58 (step @p20 :rule trans :premises (@p19 @p11)) % 0.36/0.58 (step @p21 :rule trans :premises (@p20 @p10)) % 0.36/0.58 (step @p22 :rule refl :args (@t83)) % 0.36/0.58 (step @p23 :rule refl :args ((tptp.subset @t2 @t41))) % 0.36/0.58 (step @p24 :rule refl :args (@t68)) % 0.36/0.58 (step @p25 :rule refl :args (@t2)) % 0.36/0.58 (step @p26 :rule cong :premises (@p25 @p24) :args (@t69)) % 0.36/0.58 (step @p27 :rule trans :premises (@p26 @p23)) % 0.36/0.58 (step @p28 :rule refl :args (@t84)) % 0.36/0.58 (step @p29 :rule ho_cong :premises (@p28 @p24)) % 0.36/0.58 (step @p30 :rule cong :premises (@p29 @p27) :args ((= (_ @t84 @t68) @t69))) % 0.36/0.58 (step @p31 :rule symm :premises (@p30)) % 0.36/0.58 (step @p32 :rule refl :args (@t85)) % 0.36/0.58 (step @p33 :rule eq_resolve :premises (@p32 @p31)) % 0.36/0.58 (step @p34 :rule refl :args (@t41)) % 0.36/0.58 (step @p35 :rule cong :premises (@p34 @p24) :args ((= @t41 @t68))) % 0.36/0.58 (step @p36 :rule symm :premises (@p35)) % 0.36/0.58 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.36/0.58 (step @p38 :rule ho_cong :premises (@p28 @p37)) % 0.36/0.58 (step @p39 :rule trans :premises (@p38 @p33)) % 0.36/0.58 (step @p40 :rule cong :premises (@p39) :args (@t86)) % 0.36/0.58 (step @p41 :rule nary_cong :premises (@p40 @p13 @p22) :args (@t87)) % 0.36/0.58 (step @p42 :rule cong :premises (@p41) :args ((forall @t20 @t87))) % 0.36/0.58 (step @p43 :rule trans :premises (@p42 @p21)) % 0.36/0.58 (step @p44 :rule aci_norm :args ((= (or (or @t86 @t67) @t83) @t87))) % 0.36/0.58 (step @p45 :rule bool-and-de-morgan :args (@t85 @t66 true)) % 0.36/0.58 (step @p46 :rule nary_cong :premises (@p45 @p22) :args ((or (not @t88) @t83))) % 0.36/0.58 (step @p47 :rule trans :premises (@p46 @p44)) % 0.36/0.58 (step @p48 :rule bool-impl-elim :args (@t88 @t83)) % 0.36/0.58 (step @p49 :rule trans :premises (@p48 @p47)) % 0.36/0.58 (step @p50 :rule cong :premises (@p49) :args ((forall @t20 (=> @t88 @t83)))) % 0.36/0.58 (step @p51 :rule trans :premises (@p50 @p43)) % 0.36/0.58 (step @p52 :rule refl :args ((tptp.in @t12 @t1))) % 0.36/0.58 (step @p53 :rule refl :args (@t1)) % 0.36/0.58 (step @p54 :rule refl :args ((tptp.setunion @t11))) % 0.36/0.58 (step @p55 :rule refl :args ((tptp.dsetconstr @t1 @t9))) % 0.36/0.58 (step @p56 :rule refl :args ((tptp.in @t5 @t2))) % 0.36/0.58 (step @p57 :rule refl :args (@t57)) % 0.36/0.58 (step @p58 :rule cong :premises (@p57 @p25) :args (@t58)) % 0.36/0.58 (step @p59 :rule trans :premises (@p58 @p56)) % 0.36/0.58 (step @p60 :rule cong :premises (@p59) :args (@t59)) % 0.36/0.58 (step @p61 :rule cong :premises (@p53 @p60) :args 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:premises (@p134 @p305) :args (@t48)) % 0.36/0.58 (step @p307 :rule cong :premises (@p306) :args (@t49)) % 0.36/0.58 (step @p308 :rule ho_cong :premises (@p6 @p151)) % 0.36/0.58 (step @p309 :rule ho_cong :premises (@p308 @p118)) % 0.36/0.58 (step @p310 :rule ho_cong :premises (@p309 @p219)) % 0.36/0.58 (step @p311 :rule nary_cong :premises (@p310 @p307) :args (@t50)) % 0.36/0.58 (step @p312 :rule trans :premises (@p311 @p226)) % 0.36/0.58 (step @p313 :rule cong :premises (@p312) :args (@t52)) % 0.36/0.58 (step @p314 :rule trans :premises (@p7 @p313)) % 0.36/0.58 (step @p315 :rule ho_cong :premises (@p314 @p151)) % 0.36/0.58 (step @p316 :rule ho_cong :premises (@p315 @p118)) % 0.36/0.58 (step @p317 :rule ho_cong :premises (@p316 @p122)) % 0.36/0.58 (step @p318 :rule cong :premises (@p317 @p159) :args (@t25)) % 0.36/0.58 (step @p319 :rule cong :premises (@p318) :args (@t26)) % 0.36/0.58 (step @p320 :rule cong :premises (@p148 @p319) :args (@t27)) % 0.36/0.58 (step @p321 :rule cong :premises (@p320) :args (@t28)) % 0.36/0.58 (step @p322 :rule trans :premises (@p321 @p150)) % 0.36/0.58 (step @p323 :rule eq_resolve :premises (@p2 @p322)) % 0.36/0.58 (step @p324 :rule not_implies_elim2 :premises (@p323)) % 0.36/0.58 (step @p325 :rule not_implies_elim1 :premises (@p323)) % 0.36/0.58 (step @p326 :rule cnf_equiv_pos1 :args ((= tptp.apProp @t170))) % 0.36/0.58 (step @p327 :rule chain_resolution :premises (@p326 @p325 @p324) :args ((@list false true) (@list tptp.apProp @t170))) % 0.36/0.58 (step @p328 :rule cong :premises (@p144 @p117) :args (@t171)) % 0.36/0.58 (step @p329 :rule cong :premises (@p328) :args (@t172)) % 0.36/0.58 (step @p330 :rule trans :premises (@p329 @p51)) % 0.36/0.58 (step @p331 :rule cong :premises (@p148 @p330) :args ((= tptp.apProp @t172))) % 0.36/0.58 (step @p332 :rule refl :args (@t17)) % 0.36/0.58 (step @p333 :rule cong :premises (@p317 @p332) :args (@t19)) % 0.36/0.58 (step @p334 :rule cong :premises (@p333) :args (@t21)) % 0.36/0.58 (step @p335 :rule cong :premises (@p148 @p334) :args (@t22)) % 0.36/0.58 (step @p336 :rule trans :premises (@p335 @p331)) % 0.36/0.58 (step @p337 :rule eq_resolve :premises (@p1 @p336)) % 0.36/0.58 (step @p338 false :rule contra :premises (@p337 @p327)) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------