%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PHI004^4 : TPTP v9.2.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:43:11 AM UTC 2026 % Result : Theorem 1.72s 1.96s % Output : Proof 1.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PHI004^4 : TPTP v9.2.1. Released v6.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.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 12:51:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 1.72/1.96 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.72/1.96 % SZS status Theorem % 1.72/1.96 % SZS output start Proof % 1.72/1.96 ( % 1.72/1.96 (declare-sort tptp.qML_mu 0) % 1.72/1.96 (declare-sort tptp.qML_i 0) % 1.72/1.96 (declare-const tptp.scott_P (-> (-> tptp.qML_mu tptp.qML_i Bool) tptp.qML_i Bool)) % 1.72/1.96 (define tptp.scott_G () (let ((_let_1 (@var "W" tptp.qML_i))) (let ((_let_2 (@var "X" tptp.qML_mu))) (let ((_let_3 (@var "Y" (-> tptp.qML_mu tptp.qML_i Bool)))) (lambda (@list _let_2 _let_1) (forall (@list _let_3) (=> (_ (_ tptp.scott_P _let_3) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 1.72/1.96 (define tptp.scott_ess_QML_mu () (let ((_let_1 (@var "V2" tptp.qML_i))) (let ((_let_2 (@var "Z" tptp.qML_mu))) (let ((_let_3 (@var "Y" (-> tptp.qML_mu tptp.qML_i Bool)))) (let ((_let_4 (@var "Phi" (-> tptp.qML_mu tptp.qML_i Bool)))) (let ((_let_5 (@var "W" tptp.qML_i))) (let ((_let_6 (@var "X" tptp.qML_mu))) (lambda (@list _let_4 _let_6 _let_5) (and (_ (_ _let_4 _let_6) _let_5) (forall (@list _let_3) (=> (_ (_ _let_3 _let_6) _let_5) (forall (@list _let_1 _let_2) (=> (_ (_ _let_4 _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))))))))) % 1.72/1.96 (define tptp.scott_NE_QML_mu () (let ((_let_1 (@var "V2" tptp.qML_i))) (let ((_let_2 (@var "Z" tptp.qML_mu))) (let ((_let_3 (@var "Y" (-> tptp.qML_mu tptp.qML_i Bool)))) (let ((_let_4 (@var "W" tptp.qML_i))) (let ((_let_5 (@var "X" tptp.qML_mu))) (lambda (@list _let_5 _let_4) (forall (@list _let_3) (=> (_ (_ (_ tptp.scott_ess_QML_mu _let_3) _let_5) _let_4) (forall (@list _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 1.72/1.96 (define @t1 () (@var "V" tptp.qML_i)) % 1.72/1.96 (define @t2 () (@var "X2" tptp.qML_mu)) % 1.72/1.96 (define @t3 () (_ tptp.scott_G @t2)) % 1.72/1.96 (define @t4 () (@var "W2" tptp.qML_i)) % 1.72/1.96 (define @t5 () (@var "X_1" tptp.qML_i)) % 1.72/1.96 (define @t6 () (@var "X3" (-> tptp.qML_mu tptp.qML_i Bool))) % 1.72/1.96 (define @t7 () (_ tptp.scott_P @t6)) % 1.72/1.96 (define @t8 () (_ @t7 @t5)) % 1.72/1.96 (define @t9 () (@list @t5)) % 1.72/1.96 (define @t10 () (forall @t9 @t8)) % 1.72/1.96 (define @t11 () (_ @t7 @t4)) % 1.72/1.96 (define @t12 () (=> @t11 @t10)) % 1.72/1.96 (define @t13 () (@list @t4 @t6)) % 1.72/1.96 (define @t14 () (forall @t13 @t12)) % 1.72/1.96 (define @t15 () (@var "Z" tptp.qML_i)) % 1.72/1.96 (define @t16 () (@var "Y" tptp.qML_mu)) % 1.72/1.96 (define @t17 () (_ (_ @t6 @t16) @t15)) % 1.72/1.96 (define @t18 () (not @t17)) % 1.72/1.96 (define @t19 () (@list @t16 @t15)) % 1.72/1.96 (define @t20 () (lambda @t19 @t18)) % 1.72/1.96 (define @t21 () (_ (_ tptp.scott_P @t20) @t4)) % 1.72/1.96 (define @t22 () (not @t11)) % 1.72/1.96 (define @t23 () (forall @t13 (=> @t22 @t21))) % 1.72/1.96 (define @t24 () (@var "Xa" (-> tptp.qML_mu tptp.qML_i Bool))) % 1.72/1.96 (define @t25 () (@var "V3" tptp.qML_i)) % 1.72/1.96 (define @t26 () (@var "Xb" tptp.qML_mu)) % 1.72/1.96 (define @t27 () (@var "W3" tptp.qML_i)) % 1.72/1.96 (define @t28 () (not (_ @t3 @t27))) % 1.72/1.96 (define @t29 () (or @t28 (_ (_ (_ tptp.scott_ess_QML_mu tptp.scott_G) @t2) @t27))) % 1.72/1.96 (define @t30 () (@list @t27 @t2)) % 1.72/1.96 (define @t31 () (forall @t30 @t29)) % 1.72/1.96 (define @t32 () (not @t31)) % 1.72/1.96 (define @t33 () (@var "W" tptp.qML_i)) % 1.72/1.96 (define @t34 () (@var "X" tptp.qML_mu)) % 1.72/1.96 (define @t35 () (@var "Y" (-> tptp.qML_mu tptp.qML_i Bool))) % 1.72/1.96 (define @t36 () (_ (_ @t35 @t34) @t33)) % 1.72/1.96 (define @t37 () (_ (_ tptp.scott_P @t35) @t33)) % 1.72/1.96 (define @t38 () (@list @t35)) % 1.72/1.96 (define @t39 () (forall @t38 (=> @t37 @t36))) % 1.72/1.96 (define @t40 () (@list @t34 @t33)) % 1.72/1.96 (define @t41 () (lambda @t40 @t39)) % 1.72/1.96 (define @t42 () (@var "V2" tptp.qML_i)) % 1.72/1.96 (define @t43 () (@var "Z" tptp.qML_mu)) % 1.72/1.96 (define @t44 () (_ (_ @t35 @t43) @t42)) % 1.72/1.96 (define @t45 () (@var "Phi" (-> tptp.qML_mu tptp.qML_i Bool))) % 1.72/1.96 (define @t46 () (_ (_ @t45 @t43) @t42)) % 1.72/1.96 (define @t47 () (@list @t42 @t43)) % 1.72/1.96 (define @t48 () (forall @t47 (=> @t46 @t44))) % 1.72/1.96 (define @t49 () (=> @t36 @t48)) % 1.72/1.96 (define @t50 () (forall @t38 @t49)) % 1.72/1.96 (define @t51 () (_ (_ @t45 @t34) @t33)) % 1.72/1.96 (define @t52 () (and @t51 @t50)) % 1.72/1.96 (define @t53 () (@list @t45 @t34 @t33)) % 1.72/1.96 (define @t54 () (lambda @t53 @t52)) % 1.72/1.96 (define @t55 () (lambda @t40 (forall @t38 (=> (_ (_ (_ tptp.scott_ess_QML_mu @t35) @t34) @t33) (forall (@list @t42) (exists (@list @t43) @t44)))))) % 1.72/1.96 (define @t56 () (@var "BOUND_VARIABLE_7803" tptp.qML_i)) % 1.72/1.96 (define @t57 () (@var "BOUND_VARIABLE_7805" tptp.qML_mu)) % 1.72/1.96 (define @t58 () (@var "BOUND_VARIABLE_7801" (-> tptp.qML_mu tptp.qML_i Bool))) % 1.72/1.96 (define @t59 () (@var "BOUND_VARIABLE_7768" (-> tptp.qML_mu tptp.qML_i Bool))) % 1.72/1.96 (define @t60 () (@list @t59)) % 1.72/1.96 (define @t61 () (or (not (_ @t58 @t2 @t27)) (not (forall @t60 (or (not (tptp.scott_P @t59 @t56)) (_ @t59 @t57 @t56)))) (_ @t58 @t57 @t56))) % 1.72/1.96 (define @t62 () (@var "BOUND_VARIABLE_7795" (-> tptp.qML_mu tptp.qML_i Bool))) % 1.72/1.96 (define @t63 () (or (not (tptp.scott_P @t62 @t27)) (_ @t62 @t2 @t27))) % 1.72/1.96 (define @t64 () (and @t63 @t61)) % 1.72/1.96 (define @t65 () (_ @t35 @t2 @t27)) % 1.72/1.96 (define @t66 () (forall @t38 (or (not (tptp.scott_P @t35 @t27)) @t65))) % 1.72/1.96 (define @t67 () (not @t66)) % 1.72/1.96 (define @t68 () (or @t67 @t64)) % 1.72/1.96 (define @t69 () (forall (@list @t27 @t2 @t62 @t58 @t56 @t57) @t68)) % 1.72/1.96 (define @t70 () (@list @t62 @t58 @t56 @t57)) % 1.72/1.96 (define @t71 () (forall @t70 @t68)) % 1.72/1.96 (define @t72 () (forall (@list @t58 @t56 @t57) @t61)) % 1.72/1.96 (define @t73 () (@var "BOUND_VARIABLE_7502" tptp.qML_mu)) % 1.72/1.96 (define @t74 () (@var "BOUND_VARIABLE_7500" tptp.qML_i)) % 1.72/1.96 (define @t75 () (forall @t70 @t61)) % 1.72/1.96 (define @t76 () (forall (@list @t62) @t63)) % 1.72/1.96 (define @t77 () (@list @t35)) % 1.72/1.96 (define @t78 () (forall @t70 @t63)) % 1.72/1.96 (define @t79 () (and @t78 @t75)) % 1.72/1.96 (define @t80 () (forall @t70 @t64)) % 1.72/1.96 (define @t81 () (or @t67 @t80)) % 1.72/1.96 (define @t82 () (_ @t35 @t73 @t74)) % 1.72/1.96 (define @t83 () (not (forall @t60 (or (not (tptp.scott_P @t59 @t74)) (_ @t59 @t73 @t74))))) % 1.72/1.96 (define @t84 () (@list @t35 @t74 @t73)) % 1.72/1.96 (define @t85 () (and @t66 (forall @t84 (or (not @t65) @t83 @t82)))) % 1.72/1.96 (define @t86 () (_ @t35 @t2 @t33)) % 1.72/1.96 (define @t87 () (tptp.scott_P @t35 @t33)) % 1.72/1.96 (define @t88 () (not @t87)) % 1.72/1.96 (define @t89 () (forall @t38 (or @t88 @t86))) % 1.72/1.96 (define @t90 () (@list @t33)) % 1.72/1.96 (define @t91 () (lambda @t90 (and @t89 (forall @t84 (or (not @t86) @t83 @t82))))) % 1.72/1.96 (define @t92 () (_ @t35 @t34 @t33)) % 1.72/1.96 (define @t93 () (not @t92)) % 1.72/1.96 (define @t94 () (forall @t38 (or @t88 @t92))) % 1.72/1.96 (define @t95 () (forall @t38 (or (not (tptp.scott_P @t35 @t74)) @t82))) % 1.72/1.96 (define @t96 () (not @t95)) % 1.72/1.96 (define @t97 () (or @t93 @t96 @t82)) % 1.72/1.96 (define @t98 () (lambda @t40 @t94)) % 1.72/1.96 (define @t99 () (_ @t98 @t73 @t74)) % 1.72/1.96 (define @t100 () (not @t99)) % 1.72/1.96 (define @t101 () (or @t93 @t100 @t82)) % 1.72/1.96 (define @t102 () (forall @t84 @t101)) % 1.72/1.96 (define @t103 () (lambda @t90 @t94)) % 1.72/1.96 (define @t104 () (_ @t98 @t34)) % 1.72/1.96 (define @t105 () (and (_ @t104 @t33) @t102)) % 1.72/1.96 (define @t106 () (lambda @t40 @t105)) % 1.72/1.96 (define @t107 () (not (_ @t45 @t73 @t74))) % 1.72/1.96 (define @t108 () (or @t93 @t107 @t82)) % 1.72/1.96 (define @t109 () (_ (lambda @t53 (and @t51 (forall @t84 @t108))) @t98)) % 1.72/1.96 (define @t110 () (lambda @t90 @t89)) % 1.72/1.96 (define @t111 () (_ @t98 @t2)) % 1.72/1.96 (define @t112 () (not (_ @t111 @t27))) % 1.72/1.96 (define @t113 () (or @t112 (_ (_ @t109 @t2) @t27))) % 1.72/1.96 (define @t114 () (forall @t30 @t113)) % 1.72/1.96 (define @t115 () (not @t37)) % 1.72/1.96 (define @t116 () (or @t115 @t36)) % 1.72/1.96 (define @t117 () (or @t107 @t82)) % 1.72/1.96 (define @t118 () (or @t93 @t117)) % 1.72/1.96 (define @t119 () (forall @t84 @t118)) % 1.72/1.96 (define @t120 () (@list @t74 @t73)) % 1.72/1.96 (define @t121 () (forall @t120 @t118)) % 1.72/1.96 (define @t122 () (forall @t120 @t117)) % 1.72/1.96 (define @t123 () (or @t93 @t122)) % 1.72/1.96 (define @t124 () (_ @t35 @t43 @t42)) % 1.72/1.96 (define @t125 () (_ @t45 @t43 @t42)) % 1.72/1.96 (define @t126 () (forall @t47 (or (not @t125) @t124))) % 1.72/1.96 (define @t127 () (not @t36)) % 1.72/1.96 (define @t128 () (or @t127 @t126)) % 1.72/1.96 (define @t129 () (not @t46)) % 1.72/1.96 (define @t130 () (or @t129 @t44)) % 1.72/1.96 (define @t131 () (@quantifiers_skolemize @t69 0)) % 1.72/1.96 (define @t132 () (@quantifiers_skolemize @t69 1)) % 1.72/1.96 (define @t133 () (forall @t38 (or (not (tptp.scott_P @t35 @t131)) (_ @t35 @t132 @t131)))) % 1.72/1.96 (define @t134 () (@quantifiers_skolemize @t69 4)) % 1.72/1.96 (define @t135 () (@quantifiers_skolemize @t69 5)) % 1.72/1.96 (define @t136 () (@quantifiers_skolemize @t69 3)) % 1.72/1.96 (define @t137 () (_ @t136 @t135 @t134)) % 1.72/1.96 (define @t138 () (forall @t60 (or (not (tptp.scott_P @t59 @t134)) (_ @t59 @t135 @t134)))) % 1.72/1.96 (define @t139 () (not @t138)) % 1.72/1.96 (define @t140 () (_ @t136 @t132 @t131)) % 1.72/1.96 (define @t141 () (not @t140)) % 1.72/1.96 (define @t142 () (or @t141 @t139 @t137)) % 1.72/1.96 (define @t143 () (@quantifiers_skolemize @t69 2)) % 1.72/1.96 (define @t144 () (or (not (tptp.scott_P @t143 @t131)) (_ @t143 @t132 @t131))) % 1.72/1.96 (define @t145 () (and @t144 @t142)) % 1.72/1.96 (define @t146 () (not @t133)) % 1.72/1.96 (define @t147 () (or @t146 @t145)) % 1.72/1.96 (define @t148 () (@list true)) % 1.72/1.96 (define @t149 () (@list @t147)) % 1.72/1.96 (define @t150 () (not (_ @t136 @t16 @t15))) % 1.72/1.96 (define @t151 () (lambda @t19 @t150)) % 1.72/1.96 (define @t152 () (@purify @t151)) % 1.72/1.96 (define @t153 () (_ @t152 @t16 @t15)) % 1.72/1.96 (define @t154 () (_ @t151 @t16 @t15)) % 1.72/1.96 (define @t155 () (= @t153 @t154)) % 1.72/1.96 (define @t156 () (forall @t19 @t155)) % 1.72/1.96 (define @t157 () (@list true false)) % 1.72/1.96 (define @t158 () (@list @t142)) % 1.72/1.96 (define @t159 () (_ @t152 @t132 @t131)) % 1.72/1.96 (define @t160 () (= @t141 @t159)) % 1.72/1.96 (define @t161 () (not @t159)) % 1.72/1.96 (define @t162 () (@list false false)) % 1.72/1.96 (define @t163 () (@var "BOUND_VARIABLE_7672" tptp.qML_i)) % 1.72/1.96 (define @t164 () (tptp.scott_P @t6 @t163)) % 1.72/1.96 (define @t165 () (tptp.scott_P @t6 @t4)) % 1.72/1.96 (define @t166 () (not @t165)) % 1.72/1.96 (define @t167 () (or @t166 @t164)) % 1.72/1.96 (define @t168 () (@list @t163)) % 1.72/1.96 (define @t169 () (forall @t168 @t167)) % 1.72/1.96 (define @t170 () (forall @t168 @t164)) % 1.72/1.96 (define @t171 () (or @t166 @t170)) % 1.72/1.96 (define @t172 () (tptp.scott_P @t6 @t5)) % 1.72/1.96 (define @t173 () (forall @t9 @t172)) % 1.72/1.96 (define @t174 () (or @t22 @t173)) % 1.72/1.96 (define @t175 () (_ @t6 @t16 @t15)) % 1.72/1.96 (define @t176 () (not @t175)) % 1.72/1.96 (define @t177 () (lambda @t19 @t176)) % 1.72/1.96 (define @t178 () (tptp.scott_P @t177 @t4)) % 1.72/1.96 (define @t179 () (or @t11 @t21)) % 1.72/1.96 (define @t180 () (tptp.scott_P @t151 @t134)) % 1.72/1.96 (define @t181 () (tptp.scott_P @t136 @t134)) % 1.72/1.96 (define @t182 () (or @t181 @t180)) % 1.72/1.96 (define @t183 () (forall @t13 (or @t165 @t178))) % 1.72/1.96 (define @t184 () (tptp.scott_P @t152 @t134)) % 1.72/1.96 (define @t185 () (or @t181 @t184)) % 1.72/1.96 (define @t186 () (not @t181)) % 1.72/1.96 (define @t187 () (or @t186 @t137)) % 1.72/1.96 (define @t188 () (tptp.scott_P @t152 @t131)) % 1.72/1.96 (define @t189 () (not @t184)) % 1.72/1.96 (define @t190 () (or @t189 @t188)) % 1.72/1.96 (define @t191 () (not @t188)) % 1.72/1.96 (define @t192 () (or @t191 @t159)) % 1.72/1.96 (define @t193 () (not @t192)) % 1.72/1.96 (assume @p1 (forall (@list @t4 @t1) (exists (@list @t2) (_ @t3 @t1)))) % 1.72/1.96 (assume @p2 @t14) % 1.72/1.96 (assume @p3 (forall @t9 (_ (_ tptp.scott_P tptp.scott_G) @t5))) % 1.72/1.96 (assume @p4 @t23) % 1.72/1.96 (assume @p5 (forall (@list @t4 @t6 @t24) (=> (and @t11 (forall (@list @t25 @t26) (=> (_ (_ @t6 @t26) @t25) (_ (_ @t24 @t26) @t25)))) (_ (_ tptp.scott_P @t24) @t4)))) % 1.72/1.96 (assume @p6 (forall @t9 (_ (_ tptp.scott_P tptp.scott_NE_QML_mu) @t5))) % 1.72/1.96 (assume @p7 (forall @t13 (=> @t21 @t22))) % 1.72/1.96 (assume @p8 @t32) % 1.72/1.96 (assume @p9 true) % 1.72/1.96 (step @p10 (= tptp.scott_G @t41) :rule refl :args (@t41)) % 1.72/1.96 (step @p11 (= tptp.scott_ess_QML_mu @t54) :rule refl :args (@t54)) % 1.72/1.96 (step @p12 (= tptp.scott_NE_QML_mu @t55) :rule refl :args (@t55)) % 1.72/1.96 (step @p13 :rule quant-merge-prenex :args ((= (forall @t30 @t71) @t69))) % 1.72/1.96 (step @p14 :rule alpha_equiv :args (@t72 (@list @t58 @t56 @t57) (@list @t35 @t74 @t73))) % 1.72/1.96 (step @p15 :rule quant-unused-vars :args ((= @t75 @t72))) % 1.72/1.96 (step @p16 :rule trans :premises (@p15 @p14)) % 1.72/1.96 (step @p17 :rule alpha_equiv :args (@t76 (@list @t62) @t77)) % 1.72/1.96 (step @p18 :rule quant-unused-vars :args ((= @t78 @t76))) % 1.72/1.96 (step @p19 :rule trans :premises (@p18 @p17)) % 1.72/1.96 (step @p20 :rule nary_cong :premises (@p19 @p16) :args (@t79)) % 1.72/1.96 (step @p21 :rule quant-miniscope-and :args ((= @t80 @t79))) % 1.72/1.96 (step @p22 :rule trans :premises (@p21 @p20)) % 1.72/1.96 (step @p23 :rule refl :args (@t67)) % 1.72/1.96 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t81)) % 1.72/1.96 (step @p25 :rule quant-miniscope-or :args ((= @t71 @t81))) % 1.72/1.96 (step @p26 :rule trans :premises (@p25 @p24)) % 1.72/1.96 (step @p27 :rule symm :premises (@p26)) % 1.72/1.96 (step @p28 :rule cong :premises (@p27) :args ((forall @t30 (or @t67 @t85)))) % 1.72/1.96 (step @p29 :rule trans :premises (@p28 @p13)) % 1.72/1.96 (step @p30 :rule beta-reduce :args ((= (_ @t91 @t27) @t85))) % 1.72/1.96 (step @p31 :rule refl :args (@t27)) % 1.72/1.96 (step @p32 :rule beta-reduce :args ((= (_ (lambda @t40 (and @t94 (forall 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1.72/1.96 (step @p242 :rule nary_cong :premises (@p199 @p241) :args (@t179)) % 1.72/1.96 (step @p243 :rule cong :premises (@p242) :args ((forall @t13 @t179))) % 1.72/1.96 (step @p244 :rule bool-double-not-elim :args (@t11)) % 1.72/1.96 (step @p245 :rule nary_cong :premises (@p244 @p231) :args ((or (not @t22) @t21))) % 1.72/1.96 (step @p246 :rule bool-impl-elim :args (@t22 @t21)) % 1.72/1.96 (step @p247 :rule trans :premises (@p246 @p245)) % 1.72/1.96 (step @p248 :rule cong :premises (@p247) :args (@t23)) % 1.72/1.96 (step @p249 :rule trans :premises (@p248 @p243)) % 1.72/1.96 (step @p250 :rule eq_resolve :premises (@p4 @p249)) % 1.72/1.96 (step @p251 :rule refl :args (@t134)) % 1.72/1.96 (step @p252 :rule eq-refl :args (@t151)) % 1.72/1.96 (step @p253 :rule refl :args (@t151)) % 1.72/1.96 (step @p254 :rule cong :premises (@p253 @p162) :args ((= @t151 @t152))) % 1.72/1.96 (step @p255 :rule trans :premises (@p254 @p252)) % 1.72/1.96 (step @p256 :rule true_elim :premises (@p255)) % 1.72/1.96 (step @p257 :rule cong :premises (@p256 @p251) :args (@t180)) % 1.72/1.96 (step @p258 :rule refl :args (@t181)) % 1.72/1.96 (step @p259 :rule nary_cong :premises (@p258 @p257) :args (@t182)) % 1.72/1.96 (step @p260 :rule refl :args (@t183)) % 1.72/1.96 (step @p261 :rule cong :premises (@p260 @p259) :args ((=> @t183 @t182))) % 1.72/1.96 (assume-push @p296 @t183) % 1.72/1.96 (step @p263 :rule instantiate :premises (@p250) :args ((@list @t134 @t136))) % 1.72/1.96 (step-pop @p297 :rule scope :premises (@p263)) % 1.72/1.96 (step @p264 :rule process_scope :premises (@p297) :args (@t182)) % 1.72/1.96 (step @p266 :rule eq_resolve :premises (@p264 @p261)) % 1.72/1.96 (step @p267 :rule implies_elim :premises (@p266)) % 1.72/1.96 (step @p268 :rule chain_m_resolution :premises (@p267 @p250) :args (@t185 (@list false) (@list @t183))) % 1.72/1.96 (step @p269 :rule bool-double-not-elim :args (@t138)) % 1.72/1.96 (step @p270 :rule nary_cong :premises (@p176 @p269) :args ((or @t142 (not @t139)))) % 1.72/1.96 (step @p271 :rule cnf_or_neg :args (@t142 1)) % 1.72/1.96 (step @p272 :rule eq_resolve :premises (@p271 @p270)) % 1.72/1.96 (step @p273 :rule reordering :premises (@p272) :args ((or @t138 @t142))) % 1.72/1.96 (step @p274 :rule chain_m_resolution :premises (@p273 @p174) :args (@t138 @t148 @t158)) % 1.72/1.96 (step @p275 :rule instantiate :premises (@p274) :args ((@list @t136))) % 1.72/1.96 (step @p276 :rule cnf_or_neg :args (@t142 2)) % 1.72/1.96 (step @p277 :rule chain_m_resolution :premises (@p276 @p174) :args ((not @t137) @t148 @t158)) % 1.72/1.96 (step @p278 :rule cnf_or_pos :args (@t187)) % 1.72/1.96 (step @p279 :rule reordering :premises (@p278) :args ((or @t137 @t186 (not @t187)))) % 1.72/1.96 (step @p280 :rule chain_m_resolution :premises (@p279 @p277 @p275) :args (@t186 @t157 (@list @t137 @t187))) % 1.72/1.96 (step @p281 :rule cnf_or_pos :args (@t185)) % 1.72/1.96 (step @p282 :rule reordering :premises (@p281) :args ((or @t181 @t184 (not @t185)))) % 1.72/1.96 (step @p283 :rule chain_m_resolution :premises (@p282 @p280 @p268) :args (@t184 @t157 (@list @t181 @t185))) % 1.72/1.96 (step @p284 :rule cnf_or_pos :args (@t190)) % 1.72/1.96 (step @p285 :rule reordering :premises (@p284) :args ((or @t189 @t188 (not @t190)))) % 1.72/1.96 (step @p286 :rule chain_m_resolution :premises (@p285 @p283 @p218) :args (@t188 @t162 (@list @t184 @t190))) % 1.72/1.96 (step @p287 :rule cnf_or_pos :args (@t192)) % 1.72/1.96 (step @p288 :rule reordering :premises (@p287) :args ((or @t191 @t159 @t193))) % 1.72/1.96 (step @p289 :rule chain_m_resolution :premises (@p288 @p286 @p184) :args (@t193 (@list false true) (@list @t188 @t159))) % 1.72/1.96 (assume-push @p298 @t133) % 1.72/1.96 (step @p291 :rule instantiate :premises (@p148) :args ((@list @t152))) % 1.72/1.96 (step-pop @p299 :rule scope :premises (@p291)) % 1.72/1.96 (step @p292 :rule process_scope :premises (@p299) :args (@t192)) % 1.72/1.96 (step @p294 :rule implies_elim :premises (@p292)) % 1.72/1.96 (step @p295 false :rule chain_m_resolution :premises (@p294 @p289 @p148) :args (false @t157 (@list @t192 @t133))) % 1.72/1.96 ) % 1.72/1.96 % SZS output end Proof % 1.72/1.96 % cvc5 exiting %------------------------------------------------------------------------------