%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU699^2 : 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 : n010.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 08:52:47 AM UTC 2026 % Result : Theorem 0.36s 0.60s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU699^2 : 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 % 0.15/0.34 % Computer : n010.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:48:10 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.36/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.60 % SZS status Theorem % 0.36/0.60 % SZS output start Proof % 0.36/0.60 ( % 0.36/0.60 (declare-sort $$unsorted 0) % 0.36/0.60 (declare-const tptp.beta2 Bool) % 0.36/0.60 (declare-const tptp.funcext2 Bool) % 0.36/0.60 (declare-const tptp.lam (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) % 0.36/0.60 (declare-const tptp.ap2p Bool) % 0.36/0.60 (declare-const tptp.lam2p Bool) % 0.36/0.60 (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.60 (define @t2 () (@var "Xx" $$unsorted)) % 0.36/0.60 (define @t3 () (@var "Xf" $$unsorted)) % 0.36/0.60 (define @t4 () (@var "A" $$unsorted)) % 0.36/0.60 (define @t5 () (_ (_ tptp.ap @t4) @t1)) % 0.36/0.60 (define @t6 () (_ (_ @t5 @t3) @t2)) % 0.36/0.60 (define @t7 () (_ (_ tptp.in @t6) @t1)) % 0.36/0.60 (define @t8 () (_ (_ tptp.in @t2) @t4)) % 0.36/0.60 (define @t9 () (@list @t2)) % 0.36/0.60 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.36/0.60 (define @t11 () (_ (_ tptp.funcSet @t4) @t1)) % 0.36/0.60 (define @t12 () (_ tptp.in @t3)) % 0.36/0.60 (define @t13 () (_ @t12 @t11)) % 0.36/0.60 (define @t14 () (=> @t13 @t10)) % 0.36/0.60 (define @t15 () (@list @t4 @t1 @t3)) % 0.36/0.60 (define @t16 () (forall @t15 @t14)) % 0.36/0.60 (define @t17 () (= tptp.ap2p @t16)) % 0.36/0.60 (define @t18 () (@var "Xf" (-> $$unsorted $$unsorted))) % 0.36/0.60 (define @t19 () (_ @t18 @t2)) % 0.36/0.60 (define @t20 () (lambda @t9 @t19)) % 0.36/0.60 (define @t21 () (_ (_ tptp.lam @t4) @t1)) % 0.36/0.60 (define @t22 () (_ @t21 @t20)) % 0.36/0.60 (define @t23 () (_ (_ tptp.in @t22) @t11)) % 0.36/0.60 (define @t24 () (_ (_ tptp.in @t19) @t1)) % 0.36/0.60 (define @t25 () (forall @t9 (=> @t8 @t24))) % 0.36/0.60 (define @t26 () (=> @t25 @t23)) % 0.36/0.60 (define @t27 () (@list @t4 @t1 @t18)) % 0.36/0.60 (define @t28 () (forall @t27 @t26)) % 0.36/0.60 (define @t29 () (= tptp.lam2p @t28)) % 0.36/0.60 (define @t30 () (@var "Xg" $$unsorted)) % 0.36/0.60 (define @t31 () (= @t3 @t30)) % 0.36/0.60 (define @t32 () (_ (_ @t5 @t30) @t2)) % 0.36/0.60 (define @t33 () (= @t6 @t32)) % 0.36/0.60 (define @t34 () (forall @t9 (=> @t8 @t33))) % 0.36/0.60 (define @t35 () (=> @t34 @t31)) % 0.36/0.60 (define @t36 () (_ tptp.in @t30)) % 0.36/0.60 (define @t37 () (_ @t36 @t11)) % 0.36/0.60 (define @t38 () (=> @t37 @t35)) % 0.36/0.60 (define @t39 () (@list @t30)) % 0.36/0.60 (define @t40 () (forall @t39 @t38)) % 0.36/0.60 (define @t41 () (=> @t13 @t40)) % 0.36/0.60 (define @t42 () (forall @t15 @t41)) % 0.36/0.60 (define @t43 () (= tptp.funcext2 @t42)) % 0.36/0.60 (define @t44 () (@var "Xy" $$unsorted)) % 0.36/0.60 (define @t45 () (_ @t18 @t44)) % 0.36/0.60 (define @t46 () (@list @t44)) % 0.36/0.60 (define @t47 () (lambda @t46 @t45)) % 0.36/0.60 (define @t48 () (_ @t21 @t47)) % 0.36/0.60 (define @t49 () (_ (_ @t5 @t48) @t2)) % 0.36/0.60 (define @t50 () (=> @t8 (= @t49 @t19))) % 0.36/0.60 (define @t51 () (forall @t9 @t50)) % 0.36/0.60 (define @t52 () (=> @t25 @t51)) % 0.36/0.60 (define @t53 () (forall @t27 @t52)) % 0.36/0.60 (define @t54 () (= tptp.beta2 @t53)) % 0.36/0.60 (define @t55 () (lambda @t9 @t6)) % 0.36/0.60 (define @t56 () (_ @t21 @t55)) % 0.36/0.60 (define @t57 () (=> @t13 (= @t56 @t3))) % 0.36/0.60 (define @t58 () (forall @t15 @t57)) % 0.36/0.60 (define @t59 () (=> tptp.beta2 @t58)) % 0.36/0.60 (define @t60 () (=> tptp.funcext2 @t59)) % 0.36/0.60 (define @t61 () (=> tptp.lam2p @t60)) % 0.36/0.60 (define @t62 () (=> tptp.ap2p @t61)) % 0.36/0.60 (define @t63 () (not @t62)) % 0.36/0.60 (define @t64 () (tptp.ap @t4 @t1 @t3 @t2)) % 0.36/0.60 (define @t65 () (lambda @t9 @t64)) % 0.36/0.60 (define @t66 () (tptp.lam @t4 @t1 @t65)) % 0.36/0.60 (define @t67 () (tptp.funcSet @t4 @t1)) % 0.36/0.60 (define @t68 () (tptp.in @t3 @t67)) % 0.36/0.60 (define @t69 () (not @t68)) % 0.36/0.60 (define @t70 () (forall @t15 (or @t69 (= @t3 @t66)))) % 0.36/0.60 (define @t71 () (@var "BOUND_VARIABLE_7630" $$unsorted)) % 0.36/0.60 (define @t72 () (tptp.lam @t4 @t1 @t18)) % 0.36/0.60 (define @t73 () (= (_ @t18 @t71) (tptp.ap @t4 @t1 @t72 @t71))) % 0.36/0.60 (define @t74 () (not (tptp.in @t71 @t4))) % 0.36/0.60 (define @t75 () (_ @t18 @t2)) % 0.36/0.60 (define @t76 () (tptp.in @t75 @t1)) % 0.36/0.60 (define @t77 () (tptp.in @t2 @t4)) % 0.36/0.60 (define @t78 () (not @t77)) % 0.36/0.60 (define @t79 () (forall @t9 (or @t78 @t76))) % 0.36/0.60 (define @t80 () (not @t79)) % 0.36/0.60 (define @t81 () (or @t80 @t74 @t73)) % 0.36/0.60 (define @t82 () (or @t74 @t73)) % 0.36/0.60 (define @t83 () (or @t80 @t82)) % 0.36/0.60 (define @t84 () (@list @t4 @t1 @t18 @t71)) % 0.36/0.60 (define @t85 () (forall @t84 @t83)) % 0.36/0.60 (define @t86 () (@list @t71)) % 0.36/0.60 (define @t87 () (forall @t86 @t83)) % 0.36/0.60 (define @t88 () (forall @t86 @t82)) % 0.36/0.60 (define @t89 () (@list @t2)) % 0.36/0.60 (define @t90 () (or @t80 @t88)) % 0.36/0.60 (define @t91 () (forall @t9 (or @t78 (= @t75 (tptp.ap @t4 @t1 @t72 @t2))))) % 0.36/0.60 (define @t92 () (_ @t18 @t44)) % 0.36/0.60 (define @t93 () (lambda @t46 @t92)) % 0.36/0.60 (define @t94 () (tptp.lam @t4 @t1 @t93)) % 0.36/0.60 (define @t95 () (tptp.ap @t4 @t1 @t94 @t2)) % 0.36/0.60 (define @t96 () (= @t75 @t95)) % 0.36/0.60 (define @t97 () (or @t78 @t96)) % 0.36/0.60 (define @t98 () (= @t19 @t49)) % 0.36/0.60 (define @t99 () (not @t8)) % 0.36/0.60 (define @t100 () (or @t99 @t98)) % 0.36/0.60 (define @t101 () (or @t99 @t24)) % 0.36/0.60 (define @t102 () (=> tptp.beta2 @t70)) % 0.36/0.60 (define @t103 () (@var "BOUND_VARIABLE_7589" $$unsorted)) % 0.36/0.60 (define @t104 () (= @t3 @t103)) % 0.36/0.60 (define @t105 () (not (forall @t9 (or @t78 (= @t64 (tptp.ap @t4 @t1 @t103 @t2)))))) % 0.36/0.60 (define @t106 () (not (tptp.in @t103 @t67))) % 0.36/0.60 (define @t107 () (or @t106 @t105 @t104)) % 0.36/0.60 (define @t108 () (or @t69 @t107)) % 0.36/0.60 (define @t109 () (forall (@list @t4 @t1 @t3 @t103) @t108)) % 0.36/0.60 (define @t110 () (@list @t103)) % 0.36/0.60 (define @t111 () (forall @t110 @t108)) % 0.36/0.60 (define @t112 () (forall @t110 @t107)) % 0.36/0.60 (define @t113 () (or @t69 @t112)) % 0.36/0.60 (define @t114 () (tptp.ap @t4 @t1 @t30 @t2)) % 0.36/0.60 (define @t115 () (forall @t9 (or @t78 (= @t64 @t114)))) % 0.36/0.60 (define @t116 () (not @t115)) % 0.36/0.60 (define @t117 () (tptp.in @t30 @t67)) % 0.36/0.60 (define @t118 () (forall @t39 (or (not @t117) @t116 @t31))) % 0.36/0.60 (define @t119 () (not @t13)) % 0.36/0.60 (define @t120 () (or @t119 @t118)) % 0.36/0.60 (define @t121 () (not @t37)) % 0.36/0.60 (define @t122 () (or @t121 @t116 @t31)) % 0.36/0.60 (define @t123 () (=> @t115 @t31)) % 0.36/0.60 (define @t124 () (or @t99 @t33)) % 0.36/0.60 (define @t125 () (=> tptp.funcext2 @t102)) % 0.36/0.60 (define @t126 () (lambda @t9 @t75)) % 0.36/0.60 (define @t127 () (tptp.lam @t4 @t1 @t126)) % 0.36/0.60 (define @t128 () (tptp.in @t127 @t67)) % 0.36/0.60 (define @t129 () (or @t80 @t128)) % 0.36/0.60 (define @t130 () (or @t80 @t23)) % 0.36/0.60 (define @t131 () (=> tptp.lam2p @t125)) % 0.36/0.60 (define @t132 () (@var "BOUND_VARIABLE_7523" $$unsorted)) % 0.36/0.60 (define @t133 () (tptp.in (tptp.ap @t4 @t1 @t3 @t132) @t1)) % 0.36/0.60 (define @t134 () (not (tptp.in @t132 @t4))) % 0.36/0.60 (define @t135 () (or @t134 @t133)) % 0.36/0.60 (define @t136 () (or @t69 @t135)) % 0.36/0.60 (define @t137 () (forall (@list @t4 @t1 @t3 @t132) @t136)) % 0.36/0.60 (define @t138 () (@list @t132)) % 0.36/0.60 (define @t139 () (forall @t138 @t136)) % 0.36/0.60 (define @t140 () (forall @t138 @t135)) % 0.36/0.60 (define @t141 () (or @t69 @t140)) % 0.36/0.60 (define @t142 () (tptp.in @t64 @t1)) % 0.36/0.60 (define @t143 () (forall @t9 (or @t78 @t142))) % 0.36/0.60 (define @t144 () (or @t119 @t143)) % 0.36/0.60 (define @t145 () (or @t99 @t7)) % 0.36/0.60 (define @t146 () (=> tptp.ap2p @t131)) % 0.36/0.60 (define @t147 () (= @t3 @t56)) % 0.36/0.60 (define @t148 () (or @t119 @t147)) % 0.36/0.60 (define @t149 () (@quantifiers_skolemize @t70 2)) % 0.36/0.60 (define @t150 () (@quantifiers_skolemize @t70 1)) % 0.36/0.60 (define @t151 () (@quantifiers_skolemize @t70 0)) % 0.36/0.60 (define @t152 () (_ (_ (_ tptp.ap @t151) @t150) @t149)) % 0.36/0.60 (define @t153 () (tptp.lam @t151 @t150 @t152)) % 0.36/0.60 (define @t154 () (tptp.funcSet @t151 @t150)) % 0.36/0.60 (define @t155 () (tptp.in @t153 @t154)) % 0.36/0.60 (define @t156 () (tptp.ap @t151 @t150 @t149 @t2)) % 0.36/0.60 (define @t157 () (_ @t152 @t2)) % 0.36/0.60 (define @t158 () (tptp.in @t157 @t150)) % 0.36/0.60 (define @t159 () (not (tptp.in @t2 @t151))) % 0.36/0.60 (define @t160 () (or @t159 @t158)) % 0.36/0.60 (define @t161 () (_ @t152 @t2)) % 0.36/0.60 (define @t162 () (tptp.in @t161 @t150)) % 0.36/0.60 (define @t163 () (or @t159 @t162)) % 0.36/0.60 (define @t164 () (forall @t9 @t163)) % 0.36/0.60 (define @t165 () (not @t164)) % 0.36/0.60 (define @t166 () (or @t165 @t155)) % 0.36/0.60 (define @t167 () (forall @t27 (or @t80 (tptp.in @t72 @t67)))) % 0.36/0.60 (define @t168 () (forall @t9 (or @t159 (tptp.in @t156 @t150)))) % 0.36/0.60 (define @t169 () (not @t168)) % 0.36/0.60 (define @t170 () (or @t169 @t155)) % 0.36/0.60 (define @t171 () (@list false)) % 0.36/0.60 (define @t172 () (@quantifiers_skolemize @t168 0)) % 0.36/0.60 (define @t173 () (tptp.in @t172 @t151)) % 0.36/0.60 (define @t174 () (tptp.in (tptp.ap @t151 @t150 @t149 @t172) @t150)) % 0.36/0.60 (define @t175 () (not @t173)) % 0.36/0.60 (define @t176 () (or @t175 @t174)) % 0.36/0.60 (define @t177 () (= @t149 @t153)) % 0.36/0.60 (define @t178 () (tptp.in @t149 @t154)) % 0.36/0.60 (define @t179 () (not @t178)) % 0.36/0.60 (define @t180 () (or @t179 @t177)) % 0.36/0.60 (define @t181 () (not @t180)) % 0.36/0.60 (define @t182 () (not @t70)) % 0.36/0.60 (define @t183 () (lambda @t9 @t156)) % 0.36/0.60 (define @t184 () (tptp.lam @t151 @t150 @t183)) % 0.36/0.60 (define @t185 () (= @t149 @t184)) % 0.36/0.60 (define @t186 () (or @t179 @t185)) % 0.36/0.60 (define @t187 () (not @t186)) % 0.36/0.60 (define @t188 () (@list true)) % 0.36/0.60 (define @t189 () (@list @t180)) % 0.36/0.60 (define @t190 () (or @t179 @t175 @t174)) % 0.36/0.60 (define @t191 () (not @t176)) % 0.36/0.60 (define @t192 () (forall @t9 (or @t159 (= @t156 (tptp.ap @t151 @t150 @t153 @t2))))) % 0.36/0.60 (define @t193 () (not @t192)) % 0.36/0.60 (define @t194 () (not @t155)) % 0.36/0.60 (define @t195 () (or @t179 @t194 @t193 @t177)) % 0.36/0.60 (define @t196 () (@quantifiers_skolemize @t192 0)) % 0.36/0.60 (define @t197 () (tptp.ap @t151 @t150 @t153 @t196)) % 0.36/0.60 (define @t198 () (tptp.ap @t151 @t150 @t149 @t196)) % 0.36/0.60 (define @t199 () (= @t198 @t197)) % 0.36/0.60 (define @t200 () (tptp.in @t196 @t151)) % 0.36/0.60 (define @t201 () (not @t200)) % 0.36/0.60 (define @t202 () (or @t201 @t199)) % 0.36/0.60 (define @t203 () (not @t202)) % 0.36/0.60 (define @t204 () (@list @t202)) % 0.36/0.60 (define @t205 () (or @t169 @t201 @t199)) % 0.36/0.60 (define @t206 () (not @t205)) % 0.36/0.60 (define @t207 () (_ @t152 @t196)) % 0.36/0.60 (define @t208 () (= @t197 @t207)) % 0.36/0.60 (define @t209 () (or @t169 @t201 @t208)) % 0.36/0.60 (define @t210 () (forall @t84 @t81)) % 0.36/0.60 (define @t211 () (_ @t152 @t196)) % 0.36/0.60 (define @t212 () (= @t211 @t197)) % 0.36/0.60 (define @t213 () (or @t165 @t201 @t212)) % 0.36/0.60 (assume @p1 @t17) % 0.36/0.60 (assume @p2 @t29) % 0.36/0.60 (assume @p3 @t43) % 0.36/0.60 (assume @p4 @t54) % 0.36/0.60 (assume @p5 @t63) % 0.36/0.60 (assume @p6 true) % 0.36/0.60 (step @p7 :rule refl :args (@t70)) % 0.36/0.60 (step @p8 :rule aci_norm :args ((= @t83 @t81))) % 0.36/0.60 (step @p9 :rule cong :premises (@p8) :args (@t85)) % 0.36/0.60 (step @p10 :rule quant-merge-prenex :args ((= (forall @t27 @t87) @t85))) % 0.36/0.60 (step @p11 :rule alpha_equiv :args (@t88 (@list @t71) @t89)) % 0.36/0.60 (step @p12 :rule refl :args (@t80)) % 0.36/0.60 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t90)) % 0.36/0.60 (step @p14 :rule quant-miniscope-or :args ((= @t87 @t90))) % 0.36/0.60 (step @p15 :rule trans :premises (@p14 @p13)) % 0.36/0.60 (step @p16 :rule symm :premises (@p15)) % 0.36/0.60 (step @p17 :rule cong :premises (@p16) :args ((forall @t27 (or @t80 @t91)))) % 0.36/0.60 (step @p18 :rule trans :premises (@p17 @p10)) % 0.36/0.60 (step @p19 :rule trans :premises (@p18 @p9)) % 0.36/0.60 (step @p20 :rule bool-impl-elim :args (@t79 @t91)) % 0.36/0.60 (step @p21 :rule cong :premises (@p20) :args ((forall @t27 (=> @t79 @t91)))) % 0.36/0.60 (step @p22 :rule trans :premises (@p21 @p19)) % 0.36/0.60 (step @p23 :rule refl :args (@t2)) % 0.36/0.60 (step @p24 :rule lambda-elim :args ((= @t93 @t18))) % 0.36/0.60 (step @p25 :rule refl :args (@t1)) % 0.36/0.60 (step @p26 :rule refl :args (@t4)) % 0.36/0.60 (step @p27 :rule cong :premises (@p26 @p25 @p24) :args (@t94)) % 0.36/0.60 (step @p28 :rule cong :premises (@p26 @p25 @p27 @p23) :args (@t95)) % 0.36/0.60 (step @p29 :rule refl :args (@t75)) % 0.36/0.60 (step @p30 :rule cong :premises (@p29 @p28) :args (@t96)) % 0.36/0.60 (step @p31 :rule refl :args (@t78)) % 0.36/0.60 (step @p32 :rule nary_cong :premises (@p31 @p30) 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:rule cong :premises (@p292 @p321) :args (@t62)) % 0.36/0.60 (step @p323 :rule cong :premises (@p322) :args (@t63)) % 0.36/0.60 (step @p324 :rule trans :premises (@p323 @p296)) % 0.36/0.60 (step @p325 :rule eq_resolve :premises (@p5 @p324)) % 0.36/0.60 (step @p326 :rule not_implies_elim2 :premises (@p325)) % 0.36/0.60 (step @p327 :rule not_implies_elim2 :premises (@p326)) % 0.36/0.60 (step @p328 :rule not_implies_elim2 :premises (@p327)) % 0.36/0.60 (step @p329 :rule not_implies_elim1 :premises (@p328)) % 0.36/0.60 (step @p330 :rule not_implies_elim1 :premises (@p327)) % 0.36/0.60 (step @p331 :rule instantiate :premises (@p330) :args ((@list @t151 @t150 @t149 @t153))) % 0.36/0.60 (step @p332 :rule not_implies_elim1 :premises (@p326)) % 0.36/0.60 (step @p333 :rule refl :args (@t155)) % 0.36/0.60 (step @p334 :rule refl :args (@t150)) % 0.36/0.60 (step @p335 :rule refl :args (@t156)) % 0.36/0.60 (step @p336 :rule refl :args (@t157)) % 0.36/0.60 (step @p337 :rule cong :premises (@p336 @p335) :args ((= @t157 @t156))) % 0.36/0.60 (step @p338 :rule symm :premises (@p337)) % 0.36/0.60 (step @p339 :rule eq_resolve :premises (@p336 @p338)) % 0.36/0.60 (step @p340 :rule cong :premises (@p339 @p334) :args (@t158)) % 0.36/0.60 (step @p341 :rule refl :args (@t159)) % 0.36/0.60 (step @p342 :rule nary_cong :premises (@p341 @p340) :args (@t160)) % 0.36/0.60 (step @p343 :rule cong :premises (@p342) :args ((forall @t9 @t160))) % 0.36/0.60 (step @p344 :rule refl :args (@t150)) % 0.36/0.60 (step @p345 :rule refl :args (@t161)) % 0.36/0.60 (step @p346 :rule cong :premises (@p345 @p344) :args (@t162)) % 0.36/0.60 (step @p347 :rule refl :args (@t159)) % 0.36/0.60 (step @p348 :rule nary_cong :premises (@p347 @p346) :args (@t163)) % 0.36/0.60 (step @p349 :rule cong :premises (@p348) :args (@t164)) % 0.36/0.60 (step @p350 :rule trans :premises (@p349 @p343)) % 0.36/0.60 (step @p351 :rule cong :premises (@p350) :args (@t165)) % 0.36/0.60 (step @p352 :rule nary_cong :premises (@p351 @p333) :args (@t166)) % 0.36/0.60 (step @p353 :rule refl :args (@t167)) % 0.36/0.60 (step @p354 :rule cong :premises (@p353 @p352) :args ((=> @t167 @t166))) % 0.36/0.60 (assume-push @p471 @t167) % 0.36/0.60 (step @p356 :rule instantiate :premises (@p332) :args ((@list @t151 @t150 @t152))) % 0.36/0.60 (step-pop @p472 :rule scope :premises (@p356)) % 0.36/0.60 (step @p357 :rule process_scope :premises (@p472) :args (@t166)) % 0.36/0.60 (step @p359 :rule eq_resolve :premises (@p357 @p354)) % 0.36/0.60 (step @p360 :rule implies_elim :premises (@p359)) % 0.36/0.60 (step @p361 :rule chain_m_resolution :premises (@p360 @p332) :args (@t170 @t171 (@list @t167))) % 0.36/0.60 (step @p362 :rule bool-double-not-elim :args (@t173)) % 0.36/0.60 (step @p363 :rule refl :args (@t176)) % 0.36/0.60 (step @p364 :rule nary_cong :premises (@p363 @p362) :args ((or @t176 (not @t175)))) % 0.36/0.60 (step @p365 :rule cnf_or_neg :args (@t176 0)) % 0.36/0.60 (step @p366 :rule eq_resolve :premises (@p365 @p364)) % 0.36/0.60 (step @p367 :rule reordering :premises (@p366) :args ((or @t173 @t176))) % 0.36/0.60 (step @p368 :rule cnf_or_neg :args (@t176 1)) % 0.36/0.60 (step @p369 :rule not_implies_elim2 :premises (@p328)) % 0.36/0.60 (step @p370 :rule refl :args (@t181)) % 0.36/0.60 (step @p371 :rule bool-double-not-elim :args (@t70)) % 0.36/0.60 (step @p372 :rule nary_cong :premises (@p371 @p370) :args ((or (not @t182) @t181))) % 0.36/0.60 (step @p373 :rule lambda-elim :args ((= @t183 @t152))) % 0.36/0.60 (step @p374 :rule refl :args (@t151)) % 0.36/0.60 (step @p375 :rule cong :premises (@p374 @p344 @p373) :args (@t184)) % 0.36/0.60 (step @p376 :rule refl :args (@t149)) % 0.36/0.60 (step @p377 :rule cong :premises (@p376 @p375) :args (@t185)) % 0.36/0.60 (step @p378 :rule refl :args (@t179)) % 0.36/0.60 (step @p379 :rule nary_cong :premises (@p378 @p377) :args (@t186)) % 0.36/0.60 (step @p380 :rule cong :premises (@p379) :args (@t187)) % 0.36/0.60 (step @p381 :rule refl :args (@t182)) % 0.36/0.60 (step @p382 :rule cong :premises (@p381 @p380) :args ((=> @t182 @t187))) % 0.36/0.60 (assume-push @p473 @t182) % 0.36/0.60 (step @p384 :rule skolemize :premises (@p369)) % 0.36/0.60 (step-pop @p474 :rule scope :premises (@p384)) % 0.36/0.60 (step @p385 :rule process_scope :premises (@p474) :args (@t187)) % 0.36/0.60 (step @p387 :rule eq_resolve :premises (@p385 @p382)) % 0.36/0.60 (step @p388 :rule implies_elim :premises (@p387)) % 0.36/0.60 (step @p389 :rule eq_resolve :premises (@p388 @p372)) % 0.36/0.60 (step @p390 :rule chain_m_resolution :premises (@p389 @p369) :args (@t181 @t188 (@list @t70))) % 0.36/0.60 (step @p391 :rule bool-double-not-elim :args (@t178)) % 0.36/0.60 (step @p392 :rule refl :args (@t180)) % 0.36/0.60 (step @p393 :rule nary_cong :premises (@p392 @p391) :args ((or @t180 (not @t179)))) % 0.36/0.60 (step @p394 :rule cnf_or_neg :args (@t180 0)) % 0.36/0.60 (step @p395 :rule eq_resolve :premises (@p394 @p393)) % 0.36/0.60 (step @p396 :rule reordering :premises (@p395) :args ((or @t178 @t180))) % 0.36/0.60 (step @p397 :rule chain_m_resolution :premises (@p396 @p390) :args (@t178 @t188 @t189)) % 0.36/0.60 (step @p398 :rule not_implies_elim1 :premises (@p325)) % 0.36/0.60 (step @p399 :rule instantiate :premises (@p398) :args ((@list @t151 @t150 @t149 @t172))) % 0.36/0.60 (step @p400 :rule cnf_or_pos :args (@t190)) % 0.36/0.60 (step @p401 :rule reordering :premises (@p400) :args ((or @t179 @t175 @t174 (not @t190)))) % 0.36/0.60 (step @p402 :rule chain_m_resolution :premises (@p401 @p399 @p397 @p368 @p367) :args (@t176 (@list false false true false) (@list @t190 @t178 @t174 @t173))) % 0.36/0.60 (step @p403 :rule refl :args (@t191)) % 0.36/0.60 (step @p404 :rule bool-double-not-elim :args (@t168)) % 0.36/0.60 (step @p405 :rule nary_cong :premises (@p404 @p403) :args ((or (not @t169) @t191))) % 0.36/0.60 (assume-push @p475 @t169) % 0.36/0.60 (step @p407 :rule skolemize :premises (@p475)) % 0.36/0.60 (step-pop @p476 :rule scope :premises (@p407)) % 0.36/0.60 (step @p408 :rule process_scope :premises (@p476) :args (@t191)) % 0.36/0.60 (step @p410 :rule implies_elim :premises (@p408)) % 0.36/0.60 (step @p411 :rule eq_resolve :premises (@p410 @p405)) % 0.36/0.60 (step @p412 :rule chain_m_resolution :premises (@p411 @p402) :args (@t168 @t171 (@list @t176))) % 0.36/0.60 (step @p413 :rule cnf_or_pos :args (@t170)) % 0.36/0.60 (step @p414 :rule reordering :premises (@p413) :args ((or @t155 @t169 (not @t170)))) % 0.36/0.60 (step @p415 :rule chain_m_resolution :premises (@p414 @p412 @p361) :args (@t155 (@list false false) (@list @t168 @t170))) % 0.36/0.60 (step @p416 :rule cnf_or_neg :args (@t180 1)) % 0.36/0.60 (step @p417 :rule chain_m_resolution :premises (@p416 @p390) :args ((not @t177) @t188 @t189)) % 0.36/0.60 (step @p418 :rule cnf_or_pos :args (@t195)) % 0.36/0.60 (step @p419 :rule reordering :premises (@p418) :args ((or @t179 @t177 @t194 @t193 (not @t195)))) % 0.36/0.60 (step @p420 :rule chain_m_resolution :premises (@p419 @p397 @p417 @p415 @p331) :args (@t193 (@list false true false false) (@list @t178 @t177 @t155 @t195))) % 0.36/0.60 (step @p421 :rule refl :args (@t203)) % 0.36/0.60 (step @p422 :rule bool-double-not-elim :args (@t192)) % 0.36/0.60 (step @p423 :rule nary_cong :premises (@p422 @p421) :args ((or (not @t193) @t203))) % 0.36/0.60 (assume-push @p477 @t193) % 0.36/0.60 (step @p425 :rule skolemize :premises (@p477)) % 0.36/0.60 (step-pop @p478 :rule scope :premises (@p425)) % 0.36/0.60 (step @p426 :rule process_scope :premises (@p478) :args (@t203)) % 0.36/0.60 (step @p428 :rule implies_elim :premises (@p426)) % 0.36/0.60 (step @p429 :rule eq_resolve :premises (@p428 @p423)) % 0.36/0.60 (step @p430 :rule chain_m_resolution :premises (@p429 @p420) :args (@t203 @t188 (@list @t192))) % 0.36/0.60 (step @p431 :rule cnf_or_neg :args (@t202 1)) % 0.36/0.60 (step @p432 :rule chain_m_resolution :premises (@p431 @p430) :args ((not @t199) @t188 @t204)) % 0.36/0.60 (step @p433 :rule bool-double-not-elim :args (@t200)) % 0.36/0.60 (step @p434 :rule refl :args (@t202)) % 0.36/0.60 (step @p435 :rule nary_cong :premises (@p434 @p433) :args ((or @t202 (not @t201)))) % 0.36/0.60 (step @p436 :rule cnf_or_neg :args (@t202 0)) % 0.36/0.60 (step @p437 :rule eq_resolve :premises (@p436 @p435)) % 0.36/0.60 (step @p438 :rule reordering :premises (@p437) :args ((or @t200 @t202))) % 0.36/0.60 (step @p439 :rule chain_m_resolution :premises (@p438 @p430) :args (@t200 @t188 @t204)) % 0.36/0.61 (step @p440 :rule cnf_or_pos :args (@t205)) % 0.36/0.61 (step @p441 :rule reordering :premises (@p440) :args ((or @t169 @t201 @t199 @t206))) % 0.36/0.61 (step @p442 :rule chain_m_resolution :premises (@p441 @p412 @p439 @p432) :args (@t206 (@list false false true) (@list @t168 @t200 @t199))) % 0.36/0.61 (step @p443 :rule eq-symm :args (@t197 @t198)) % 0.36/0.61 (step @p444 :rule refl :args (@t198)) % 0.36/0.61 (step @p445 :rule refl :args (@t207)) % 0.36/0.61 (step @p446 :rule cong :premises (@p445 @p444) :args ((= @t207 @t198))) % 0.36/0.61 (step @p447 :rule symm :premises (@p446)) % 0.36/0.61 (step @p448 :rule eq_resolve :premises (@p445 @p447)) % 0.36/0.61 (step @p449 :rule refl :args (@t197)) % 0.36/0.61 (step @p450 :rule cong :premises (@p449 @p448) :args (@t208)) % 0.36/0.61 (step @p451 :rule trans :premises (@p450 @p443)) % 0.36/0.61 (step @p452 :rule refl :args (@t201)) % 0.36/0.61 (step @p453 :rule refl :args (@t169)) % 0.36/0.61 (step @p454 :rule nary_cong :premises (@p453 @p452 @p451) :args (@t209)) % 0.36/0.61 (step @p455 :rule refl :args (@t210)) % 0.36/0.61 (step @p456 :rule cong :premises (@p455 @p454) :args ((=> @t210 @t209))) % 0.36/0.61 (step @p457 :rule eq-symm :args (@t207 @t197)) % 0.36/0.61 (step @p458 :rule refl :args (@t211)) % 0.36/0.61 (step @p459 :rule cong :premises (@p458 @p449) :args (@t212)) % 0.36/0.61 (step @p460 :rule trans :premises (@p459 @p457)) % 0.36/0.61 (step @p461 :rule nary_cong :premises (@p351 @p452 @p460) :args (@t213)) % 0.36/0.61 (step @p462 :rule cong :premises (@p455 @p461) :args ((=> @t210 @t213))) % 0.36/0.61 (assume-push @p479 @t210) % 0.36/0.61 (step @p464 :rule instantiate :premises (@p329) :args ((@list @t151 @t150 @t152 @t196))) % 0.36/0.61 (step-pop @p480 :rule scope :premises (@p464)) % 0.36/0.61 (step @p465 :rule process_scope :premises (@p480) :args (@t213)) % 0.36/0.61 (step @p467 :rule eq_resolve :premises (@p465 @p462)) % 0.36/0.61 (step @p468 :rule eq_resolve :premises (@p467 @p456)) % 0.36/0.61 (step @p469 :rule implies_elim :premises (@p468)) % 0.36/0.61 (step @p470 false :rule chain_m_resolution :premises (@p469 @p442 @p329) :args (false (@list true false) (@list @t205 @t210))) % 0.36/0.61 ) % 0.36/0.61 % SZS output end Proof % 0.36/0.61 % cvc5 exiting %------------------------------------------------------------------------------