%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV146^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:55:31 AM UTC 2026 % Result : Theorem 0.44s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV146^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.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 18:15:58 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.44/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.63 % SZS status Theorem % 0.44/0.63 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort tptp.a 0) % 0.44/0.63 (define @t1 () (@var "Xz" tptp.a)) % 0.44/0.63 (define @t2 () (@var "Xq" (-> tptp.a Bool))) % 0.44/0.63 (define @t3 () (_ @t2 @t1)) % 0.44/0.63 (define @t4 () (@var "Xw" tptp.a)) % 0.44/0.63 (define @t5 () (_ @t2 @t4)) % 0.44/0.63 (define @t6 () (@var "Xv" tptp.a)) % 0.44/0.63 (define @t7 () (@var "Xr" (-> tptp.a tptp.a Bool))) % 0.44/0.63 (define @t8 () (_ (_ @t7 @t6) @t4)) % 0.44/0.63 (define @t9 () (_ @t2 @t6)) % 0.44/0.63 (define @t10 () (and @t9 @t8)) % 0.44/0.63 (define @t11 () (@list @t6 @t4)) % 0.44/0.63 (define @t12 () (forall @t11 (=> @t10 @t5))) % 0.44/0.63 (define @t13 () (@var "Xx" tptp.a)) % 0.44/0.63 (define @t14 () (_ @t7 @t13)) % 0.44/0.63 (define @t15 () (_ @t14 @t4)) % 0.44/0.63 (define @t16 () (@list @t4)) % 0.44/0.63 (define @t17 () (forall @t16 (=> @t15 @t5))) % 0.44/0.63 (define @t18 () (and @t17 @t12)) % 0.44/0.63 (define @t19 () (=> @t18 @t3)) % 0.44/0.63 (define @t20 () (@list @t2)) % 0.44/0.63 (define @t21 () (forall @t20 @t19)) % 0.44/0.63 (define @t22 () (@var "Xy" tptp.a)) % 0.44/0.63 (define @t23 () (_ (_ @t7 @t22) @t4)) % 0.44/0.63 (define @t24 () (forall @t16 (=> @t23 @t5))) % 0.44/0.63 (define @t25 () (and @t24 @t12)) % 0.44/0.63 (define @t26 () (=> @t25 @t3)) % 0.44/0.63 (define @t27 () (forall @t20 @t26)) % 0.44/0.63 (define @t28 () (_ @t2 @t22)) % 0.44/0.63 (define @t29 () (=> @t18 @t28)) % 0.44/0.63 (define @t30 () (forall @t20 @t29)) % 0.44/0.63 (define @t31 () (and @t30 @t27)) % 0.44/0.63 (define @t32 () (=> @t31 @t21)) % 0.44/0.63 (define @t33 () (@list @t13 @t22 @t1)) % 0.44/0.63 (define @t34 () (forall @t33 @t32)) % 0.44/0.63 (define @t35 () (_ @t14 @t22)) % 0.44/0.63 (define @t36 () (=> @t35 @t30)) % 0.44/0.63 (define @t37 () (@list @t13 @t22)) % 0.44/0.63 (define @t38 () (forall @t37 @t36)) % 0.44/0.63 (define @t39 () (and @t38 @t34)) % 0.44/0.63 (define @t40 () (@list @t7)) % 0.44/0.63 (define @t41 () (forall @t40 @t39)) % 0.44/0.63 (define @t42 () (not @t41)) % 0.44/0.63 (define @t43 () (@var "BOUND_VARIABLE_7497" (-> tptp.a Bool))) % 0.44/0.63 (define @t44 () (_ @t43 @t22)) % 0.44/0.63 (define @t45 () (_ @t43 @t4)) % 0.44/0.63 (define @t46 () (@var "BOUND_VARIABLE_7568" (-> tptp.a tptp.a Bool))) % 0.44/0.63 (define @t47 () (not (_ @t43 @t6))) % 0.44/0.63 (define @t48 () (or (not (_ @t46 @t13 @t22)) (not (forall @t16 (or (not (_ @t46 @t13 @t4)) @t45))) (not (forall @t11 (or @t47 (not (_ @t46 @t6 @t4)) @t45))) @t44)) % 0.44/0.63 (define @t49 () (forall (@list @t46 @t13 @t22 @t43) @t48)) % 0.44/0.63 (define @t50 () (@quantifiers_skolemize @t49 2)) % 0.44/0.63 (define @t51 () (@quantifiers_skolemize @t49 1)) % 0.44/0.63 (define @t52 () (@quantifiers_skolemize @t49 0)) % 0.44/0.63 (define @t53 () (_ @t52 @t51 @t50)) % 0.44/0.63 (define @t54 () (@quantifiers_skolemize @t49 3)) % 0.44/0.63 (define @t55 () (_ @t54 @t50)) % 0.44/0.63 (define @t56 () (_ @t54 @t4)) % 0.44/0.63 (define @t57 () (forall @t16 (or (not (_ @t52 @t51 @t4)) @t56))) % 0.44/0.63 (define @t58 () (not @t57)) % 0.44/0.63 (define @t59 () (not @t53)) % 0.44/0.63 (define @t60 () (or @t59 @t58 (not (forall @t11 (or (not (_ @t54 @t6)) (not (_ @t52 @t6 @t4)) @t56))) @t55)) % 0.44/0.63 (define @t61 () (or @t59 @t55)) % 0.44/0.63 (define @t62 () (not @t60)) % 0.44/0.63 (define @t63 () (not @t49)) % 0.44/0.63 (define @t64 () (@list false)) % 0.44/0.63 (define @t65 () (@var "BOUND_VARIABLE_7548" (-> tptp.a Bool))) % 0.44/0.63 (define @t66 () (_ @t65 @t1)) % 0.44/0.63 (define @t67 () (_ @t65 @t4)) % 0.44/0.63 (define @t68 () (@var "BOUND_VARIABLE_7586" (-> tptp.a tptp.a Bool))) % 0.44/0.63 (define @t69 () (not (_ @t68 @t6 @t4))) % 0.44/0.63 (define @t70 () (not (_ @t65 @t6))) % 0.44/0.63 (define @t71 () (not (_ @t68 @t13 @t4))) % 0.44/0.63 (define @t72 () (_ @t2 @t1)) % 0.44/0.63 (define @t73 () (_ @t2 @t4)) % 0.44/0.63 (define @t74 () (_ @t2 @t6)) % 0.44/0.63 (define @t75 () (not @t74)) % 0.44/0.63 (define @t76 () (not (forall @t11 (or @t75 @t69 @t73)))) % 0.44/0.63 (define @t77 () (_ @t2 @t22)) % 0.44/0.63 (define @t78 () (or (not (forall @t20 (or (not (forall @t16 (or @t71 @t73))) @t76 @t77))) (not (forall @t20 (or (not (forall @t16 (or (not (_ @t68 @t22 @t4)) @t73))) @t76 @t72))) (not (forall @t16 (or @t71 @t67))) (not (forall @t11 (or @t70 @t69 @t67))) @t66)) % 0.44/0.63 (define @t79 () (forall (@list @t68 @t13 @t22 @t1 @t65) @t78)) % 0.44/0.63 (define @t80 () (@list @t13 @t22 @t1 @t65)) % 0.44/0.63 (define @t81 () (forall (@list @t68) (forall @t80 @t78))) % 0.44/0.63 (define @t82 () (@list @t13 @t22 @t43)) % 0.44/0.63 (define @t83 () (forall (@list @t46) (forall @t82 @t48))) % 0.44/0.63 (define @t84 () (_ @t7 @t6 @t4)) % 0.44/0.63 (define @t85 () (not @t84)) % 0.44/0.63 (define @t86 () (not (forall @t11 (or @t70 @t85 @t67)))) % 0.44/0.63 (define @t87 () (_ @t7 @t13 @t4)) % 0.44/0.63 (define @t88 () (not @t87)) % 0.44/0.63 (define @t89 () (not (forall @t16 (or @t88 @t67)))) % 0.44/0.63 (define @t90 () (forall @t11 (or @t75 @t85 @t73))) % 0.44/0.63 (define @t91 () (not @t90)) % 0.44/0.63 (define @t92 () (_ @t7 @t22 @t4)) % 0.44/0.63 (define @t93 () (forall @t16 (or (not @t92) @t73))) % 0.44/0.63 (define @t94 () (not @t93)) % 0.44/0.63 (define @t95 () (forall @t20 (or @t94 @t91 @t72))) % 0.44/0.63 (define @t96 () (not @t95)) % 0.44/0.63 (define @t97 () (forall @t16 (or @t88 @t73))) % 0.44/0.63 (define @t98 () (not @t97)) % 0.44/0.63 (define @t99 () (forall @t20 (or @t98 @t91 @t77))) % 0.44/0.63 (define @t100 () (not @t99)) % 0.44/0.63 (define @t101 () (or @t100 @t96 @t89 @t86 @t66)) % 0.44/0.63 (define @t102 () (forall @t80 @t101)) % 0.44/0.63 (define @t103 () (forall @t40 @t102)) % 0.44/0.63 (define @t104 () (@list @t7)) % 0.44/0.63 (define @t105 () (not (forall @t11 (or @t47 @t85 @t45)))) % 0.44/0.63 (define @t106 () (not (forall @t16 (or @t88 @t45)))) % 0.44/0.63 (define @t107 () (_ @t7 @t13 @t22)) % 0.44/0.63 (define @t108 () (not @t107)) % 0.44/0.63 (define @t109 () (or @t108 @t106 @t105 @t44)) % 0.44/0.63 (define @t110 () (forall @t82 @t109)) % 0.44/0.63 (define @t111 () (forall @t40 @t110)) % 0.44/0.63 (define @t112 () (and @t111 @t103)) % 0.44/0.63 (define @t113 () (or @t89 @t86 @t66)) % 0.44/0.63 (define @t114 () (or @t100 @t96 @t113)) % 0.44/0.63 (define @t115 () (forall @t80 @t114)) % 0.44/0.63 (define @t116 () (@list @t65)) % 0.44/0.63 (define @t117 () (forall @t116 @t114)) % 0.44/0.63 (define @t118 () (forall @t116 @t113)) % 0.44/0.63 (define @t119 () (@list @t2)) % 0.44/0.63 (define @t120 () (or @t100 @t96 @t118)) % 0.44/0.63 (define @t121 () (forall @t20 (or @t98 @t91 @t72))) % 0.44/0.63 (define @t122 () (or @t100 @t96 @t121)) % 0.44/0.63 (define @t123 () (and @t99 @t95)) % 0.44/0.63 (define @t124 () (or @t98 @t91 @t3)) % 0.44/0.63 (define @t125 () (or @t98 @t91)) % 0.44/0.63 (define @t126 () (and @t97 @t90)) % 0.44/0.63 (define @t127 () (not @t126)) % 0.44/0.63 (define @t128 () (not @t8)) % 0.44/0.63 (define @t129 () (not @t9)) % 0.44/0.63 (define @t130 () (or @t129 @t128 @t5)) % 0.44/0.63 (define @t131 () (not @t15)) % 0.44/0.63 (define @t132 () (or @t131 @t5)) % 0.44/0.63 (define @t133 () (or @t94 @t91 @t3)) % 0.44/0.63 (define @t134 () (and @t93 @t90)) % 0.44/0.63 (define @t135 () (not @t23)) % 0.44/0.63 (define @t136 () (or @t135 @t5)) % 0.44/0.63 (define @t137 () (or @t98 @t91 @t28)) % 0.44/0.63 (define @t138 () (or @t106 @t105 @t44)) % 0.44/0.63 (define @t139 () (or @t108 @t138)) % 0.44/0.63 (define @t140 () (forall @t82 @t139)) % 0.44/0.63 (define @t141 () (@list @t43)) % 0.44/0.63 (define @t142 () (forall @t141 @t139)) % 0.44/0.63 (define @t143 () (forall @t141 @t138)) % 0.44/0.63 (define @t144 () (or @t108 @t143)) % 0.44/0.63 (define @t145 () (not @t35)) % 0.44/0.63 (define @t146 () (or @t145 @t99)) % 0.44/0.63 (define @t147 () (not @t79)) % 0.44/0.63 (define @t148 () (@quantifiers_skolemize @t79 3)) % 0.44/0.63 (define @t149 () (@quantifiers_skolemize @t79 4)) % 0.44/0.63 (define @t150 () (_ @t149 @t148)) % 0.44/0.63 (define @t151 () (_ @t149 @t4)) % 0.44/0.63 (define @t152 () (@quantifiers_skolemize @t79 0)) % 0.44/0.63 (define @t153 () (not (_ @t152 @t6 @t4))) % 0.44/0.63 (define @t154 () (forall @t11 (or (not (_ @t149 @t6)) @t153 @t151))) % 0.44/0.63 (define @t155 () (not @t154)) % 0.44/0.63 (define @t156 () (not (_ @t152 (@quantifiers_skolemize @t79 1) @t4))) % 0.44/0.63 (define @t157 () (forall @t16 (or @t156 @t151))) % 0.44/0.63 (define @t158 () (not @t157)) % 0.44/0.63 (define @t159 () (not (forall @t11 (or @t75 @t153 @t73)))) % 0.44/0.63 (define @t160 () (@quantifiers_skolemize @t79 2)) % 0.44/0.63 (define @t161 () (not (_ @t152 @t160 @t4))) % 0.44/0.63 (define @t162 () (forall @t20 (or (not (forall @t16 (or @t161 @t73))) @t159 (_ @t2 @t148)))) % 0.44/0.63 (define @t163 () (not @t162)) % 0.44/0.63 (define @t164 () (forall @t20 (or (not (forall @t16 (or @t156 @t73))) @t159 (_ @t2 @t160)))) % 0.44/0.63 (define @t165 () (not @t164)) % 0.44/0.63 (define @t166 () (or @t165 @t163 @t158 @t155 @t150)) % 0.44/0.63 (define @t167 () (not @t166)) % 0.44/0.63 (define @t168 () (@list true)) % 0.44/0.63 (define @t169 () (@list @t166)) % 0.44/0.63 (define @t170 () (forall @t16 (or @t161 @t151))) % 0.44/0.63 (define @t171 () (@quantifiers_skolemize @t170 0)) % 0.44/0.63 (define @t172 () (_ @t149 @t171)) % 0.44/0.63 (define @t173 () (_ @t152 @t160 @t171)) % 0.44/0.63 (define @t174 () (not @t173)) % 0.44/0.63 (define @t175 () (_ @t149 @t160)) % 0.44/0.63 (define @t176 () (not @t175)) % 0.44/0.63 (define @t177 () (or @t176 @t174 @t172)) % 0.44/0.63 (define @t178 () (@list @t149)) % 0.44/0.63 (define @t179 () (not @t170)) % 0.44/0.63 (define @t180 () (or @t179 @t155 @t150)) % 0.44/0.63 (define @t181 () (@list false true false)) % 0.44/0.63 (define @t182 () (or @t174 @t172)) % 0.44/0.63 (define @t183 () (not @t182)) % 0.44/0.63 (define @t184 () (@list @t182)) % 0.44/0.63 (define @t185 () (or @t158 @t155 @t175)) % 0.44/0.63 (define @t186 () (not @t185)) % 0.44/0.63 (assume @p1 @t42) % 0.44/0.63 (assume @p2 true) % 0.44/0.63 (step @p3 :rule bool-double-not-elim :args (@t53)) % 0.44/0.63 (step @p4 :rule refl :args (@t60)) % 0.44/0.63 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t60 (not @t59)))) % 0.44/0.63 (step @p6 :rule cnf_or_neg :args (@t60 0)) % 0.44/0.63 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 0.44/0.63 (step @p8 :rule reordering :premises (@p7) :args ((or @t53 @t60))) % 0.44/0.63 (step @p9 :rule bool-double-not-elim :args (@t57)) % 0.44/0.63 (step @p10 :rule nary_cong :premises (@p4 @p9) :args ((or @t60 (not @t58)))) % 0.44/0.63 (step @p11 :rule cnf_or_neg :args (@t60 1)) % 0.44/0.63 (step @p12 :rule eq_resolve :premises (@p11 @p10)) % 0.44/0.63 (step @p13 :rule reordering :premises (@p12) :args ((or @t57 @t60))) % 0.44/0.63 (step @p14 :rule cnf_or_neg :args (@t60 3)) % 0.44/0.63 (step @p15 :rule cnf_or_pos :args (@t61)) % 0.44/0.63 (step @p16 :rule reordering :premises (@p15) :args ((or @t59 @t55 (not @t61)))) % 0.44/0.63 (assume-push @p291 @t57) % 0.44/0.63 (step @p18 :rule instantiate :premises (@p291) :args ((@list @t50))) % 0.44/0.63 (step-pop @p292 :rule scope :premises (@p18)) % 0.44/0.63 (step @p19 :rule process_scope :premises (@p292) :args (@t61)) % 0.44/0.63 (step @p21 :rule implies_elim :premises (@p19)) % 0.44/0.63 (step @p22 :rule chain_m_resolution :premises (@p21 @p16 @p14 @p13 @p8) :args (@t60 (@list true true false false) (@list @t61 @t55 @t57 @t53))) % 0.44/0.63 (step @p23 :rule refl :args (@t62)) % 0.44/0.63 (step @p24 :rule bool-double-not-elim :args (@t49)) % 0.44/0.63 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or (not @t63) @t62))) % 0.44/0.63 (assume-push @p293 @t63) % 0.44/0.63 (step @p27 :rule skolemize :premises (@p293)) % 0.44/0.63 (step-pop @p294 :rule scope :premises (@p27)) % 0.44/0.63 (step @p28 :rule process_scope :premises (@p294) :args (@t62)) % 0.44/0.63 (step @p30 :rule implies_elim :premises (@p28)) % 0.44/0.63 (step @p31 :rule eq_resolve :premises (@p30 @p25)) % 0.44/0.63 (step @p32 :rule chain_m_resolution :premises (@p31 @p22) :args (@t49 @t64 (@list @t60))) % 0.44/0.63 (step @p33 :rule quant-merge-prenex :args ((= @t81 @t79))) % 0.44/0.63 (step @p34 :rule quant-merge-prenex :args ((= @t83 @t49))) % 0.44/0.63 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((and @t83 @t81))) % 0.44/0.63 (step @p36 :rule alpha_equiv :args (@t103 @t104 (@list @t68))) % 0.44/0.63 (step @p37 :rule alpha_equiv :args (@t111 @t104 (@list @t46))) % 0.44/0.63 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t112)) % 0.44/0.63 (step @p39 :rule quant-miniscope-and :args ((= (forall @t40 (and @t110 @t102)) @t112))) % 0.44/0.63 (step @p40 :rule trans :premises (@p39 @p38)) % 0.44/0.63 (step @p41 :rule trans :premises (@p40 @p35)) % 0.44/0.63 (step @p42 :rule aci_norm :args ((= @t114 @t101))) % 0.44/0.63 (step @p43 :rule cong :premises (@p42) :args (@t115)) % 0.44/0.63 (step @p44 :rule quant-merge-prenex :args ((= (forall @t33 @t117) @t115))) % 0.44/0.63 (step @p45 :rule alpha_equiv :args (@t118 (@list @t65) @t119)) % 0.44/0.63 (step @p46 :rule refl :args (@t96)) % 0.44/0.63 (step @p47 :rule refl :args (@t100)) % 0.44/0.63 (step @p48 :rule nary_cong :premises (@p47 @p46 @p45) :args (@t120)) % 0.44/0.63 (step @p49 :rule quant-miniscope-or :args ((= @t117 @t120))) % 0.44/0.63 (step @p50 :rule trans :premises (@p49 @p48)) % 0.44/0.63 (step @p51 :rule symm :premises (@p50)) % 0.44/0.63 (step @p52 :rule cong :premises (@p51) :args ((forall @t33 @t122))) % 0.44/0.63 (step @p53 :rule trans :premises (@p52 @p44)) % 0.44/0.63 (step @p54 :rule trans :premises (@p53 @p43)) % 0.44/0.63 (step @p55 :rule aci_norm :args ((= (or (or @t100 @t96) @t121) @t122))) % 0.44/0.63 (step @p56 :rule refl :args (@t121)) % 0.44/0.63 (step @p57 :rule bool-and-de-morgan :args (@t99 @t95 true)) % 0.44/0.63 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or (not @t123) @t121))) % 0.44/0.63 (step @p59 :rule trans :premises (@p58 @p55)) % 0.44/0.63 (step @p60 :rule bool-impl-elim :args (@t123 @t121)) % 0.44/0.63 (step @p61 :rule trans :premises (@p60 @p59)) % 0.44/0.63 (step @p62 :rule cong :premises (@p61) :args ((forall @t33 (=> @t123 @t121)))) % 0.44/0.63 (step @p63 :rule trans :premises (@p62 @p54)) % 0.44/0.63 (step @p64 :rule refl :args (@t72)) % 0.44/0.63 (step @p65 :rule refl :args (@t3)) % 0.44/0.63 (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t3 @t72))) % 0.44/0.63 (step @p67 :rule symm :premises (@p66)) % 0.44/0.63 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 0.44/0.63 (step @p69 :rule refl :args (@t91)) % 0.44/0.63 (step @p70 :rule refl :args (@t98)) % 0.44/0.63 (step @p71 :rule nary_cong :premises (@p70 @p69 @p68) :args (@t124)) % 0.44/0.63 (step @p72 :rule cong :premises (@p71) :args ((forall @t20 @t124))) % 0.44/0.63 (step @p73 :rule aci_norm :args ((= (or @t125 @t3) @t124))) % 0.44/0.63 (step @p74 :rule bool-and-de-morgan :args (@t97 @t90 true)) % 0.44/0.63 (step @p75 :rule nary_cong :premises (@p74 @p65) :args ((or @t127 @t3))) % 0.44/0.63 (step @p76 :rule trans :premises (@p75 @p73)) % 0.44/0.63 (step @p77 :rule bool-impl-elim :args (@t126 @t3)) % 0.44/0.63 (step @p78 :rule trans :premises (@p77 @p76)) % 0.44/0.63 (step @p79 :rule cong :premises 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% 0.44/0.63 (step @p126 :rule cong :premises (@p125) :args ((forall @t20 @t133))) % 0.44/0.63 (step @p127 :rule aci_norm :args ((= (or (or @t94 @t91) @t3) @t133))) % 0.44/0.63 (step @p128 :rule bool-and-de-morgan :args (@t93 @t90 true)) % 0.44/0.63 (step @p129 :rule nary_cong :premises (@p128 @p65) :args ((or (not @t134) @t3))) % 0.44/0.63 (step @p130 :rule trans :premises (@p129 @p127)) % 0.44/0.63 (step @p131 :rule bool-impl-elim :args (@t134 @t3)) % 0.44/0.63 (step @p132 :rule trans :premises (@p131 @p130)) % 0.44/0.63 (step @p133 :rule cong :premises (@p132) :args ((forall @t20 (=> @t134 @t3)))) % 0.44/0.63 (step @p134 :rule trans :premises (@p133 @p126)) % 0.44/0.63 (step @p135 :rule refl :args (@t92)) % 0.44/0.63 (step @p136 :rule refl :args (@t23)) % 0.44/0.63 (step @p137 :rule cong :premises (@p136 @p135) :args ((= @t23 @t92))) % 0.44/0.63 (step @p138 :rule symm :premises (@p137)) % 0.44/0.63 (step @p139 :rule eq_resolve :premises (@p136 @p138)) % 0.44/0.63 (step @p140 :rule 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:premises (@p168 @p123) :args (@t32)) % 0.44/0.63 (step @p170 :rule cong :premises (@p169) :args (@t34)) % 0.44/0.63 (step @p171 :rule trans :premises (@p170 @p63)) % 0.44/0.63 (step @p172 :rule aci_norm :args ((= @t139 @t109))) % 0.44/0.63 (step @p173 :rule cong :premises (@p172) :args (@t140)) % 0.44/0.63 (step @p174 :rule quant-merge-prenex :args ((= (forall @t37 @t142) @t140))) % 0.44/0.63 (step @p175 :rule alpha_equiv :args (@t143 (@list @t43) @t119)) % 0.44/0.63 (step @p176 :rule refl :args (@t108)) % 0.44/0.63 (step @p177 :rule nary_cong :premises (@p176 @p175) :args (@t144)) % 0.44/0.63 (step @p178 :rule quant-miniscope-or :args ((= @t142 @t144))) % 0.44/0.63 (step @p179 :rule trans :premises (@p178 @p177)) % 0.44/0.63 (step @p180 :rule symm :premises (@p179)) % 0.44/0.63 (step @p181 :rule cong :premises (@p180) :args ((forall @t37 (or @t108 @t99)))) % 0.44/0.63 (step @p182 :rule trans :premises (@p181 @p174)) % 0.44/0.63 (step @p183 :rule trans :premises (@p182 @p173)) % 0.44/0.63 (step @p184 :rule refl :args (@t99)) % 0.44/0.63 (step @p185 :rule refl :args (@t107)) % 0.44/0.63 (step @p186 :rule refl :args (@t35)) % 0.44/0.63 (step @p187 :rule cong :premises (@p186 @p185) :args ((= @t35 @t107))) % 0.44/0.63 (step @p188 :rule symm :premises (@p187)) % 0.44/0.63 (step @p189 :rule eq_resolve :premises (@p186 @p188)) % 0.44/0.63 (step @p190 :rule cong :premises (@p189) :args (@t145)) % 0.44/0.63 (step @p191 :rule nary_cong :premises (@p190 @p184) :args (@t146)) % 0.44/0.63 (step @p192 :rule cong :premises (@p191) :args ((forall @t37 @t146))) % 0.44/0.63 (step @p193 :rule trans :premises (@p192 @p183)) % 0.44/0.63 (step @p194 :rule bool-impl-elim :args (@t35 @t99)) % 0.44/0.63 (step @p195 :rule cong :premises (@p194) :args ((forall @t37 (=> @t35 @t99)))) % 0.44/0.63 (step @p196 :rule trans :premises (@p195 @p193)) % 0.44/0.63 (step @p197 :rule refl :args (@t35)) % 0.44/0.63 (step @p198 :rule cong :premises (@p197 @p167) :args (@t36)) % 0.44/0.63 (step @p199 :rule cong :premises (@p198) :args (@t38)) % 0.44/0.63 (step @p200 :rule trans :premises (@p199 @p196)) % 0.44/0.63 (step @p201 :rule nary_cong :premises (@p200 @p171) :args (@t39)) % 0.44/0.63 (step @p202 :rule cong :premises (@p201) :args (@t41)) % 0.44/0.63 (step @p203 :rule trans :premises (@p202 @p41)) % 0.44/0.63 (step @p204 :rule cong :premises (@p203) :args (@t42)) % 0.44/0.63 (step @p205 :rule eq_resolve :premises (@p1 @p204)) % 0.44/0.63 (step @p206 :rule not_and :premises (@p205)) % 0.44/0.63 (step @p207 :rule chain_m_resolution :premises (@p206 @p32) :args (@t147 @t64 (@list @t49))) % 0.44/0.63 (step @p208 :rule refl :args (@t167)) % 0.44/0.63 (step @p209 :rule bool-double-not-elim :args (@t79)) % 0.44/0.63 (step @p210 :rule nary_cong :premises (@p209 @p208) :args ((or (not @t147) @t167))) % 0.44/0.63 (assume-push @p295 @t147) % 0.44/0.63 (step @p212 :rule skolemize :premises (@p295)) % 0.44/0.63 (step-pop @p296 :rule scope :premises (@p212)) % 0.44/0.63 (step @p213 :rule process_scope :premises (@p296) :args (@t167)) % 0.44/0.63 (step @p215 :rule implies_elim :premises (@p213)) % 0.44/0.63 (step @p216 :rule eq_resolve :premises (@p215 @p210)) % 0.44/0.63 (step @p217 :rule chain_m_resolution :premises (@p216 @p207) :args (@t167 @t168 (@list @t79))) % 0.44/0.63 (step @p218 :rule bool-double-not-elim :args (@t164)) % 0.44/0.63 (step @p219 :rule refl :args (@t166)) % 0.44/0.63 (step @p220 :rule nary_cong :premises (@p219 @p218) :args ((or @t166 (not @t165)))) % 0.44/0.63 (step @p221 :rule cnf_or_neg :args (@t166 0)) % 0.44/0.63 (step @p222 :rule eq_resolve :premises (@p221 @p220)) % 0.44/0.63 (step @p223 :rule reordering :premises (@p222) :args ((or @t164 @t166))) % 0.44/0.63 (step @p224 :rule chain_m_resolution :premises (@p223 @p217) :args (@t164 @t168 @t169)) % 0.44/0.63 (step @p225 :rule bool-double-not-elim :args (@t154)) % 0.44/0.63 (step @p226 :rule nary_cong :premises (@p219 @p225) :args ((or @t166 (not @t155)))) % 0.44/0.63 (step @p227 :rule cnf_or_neg :args (@t166 3)) % 0.44/0.63 (step @p228 :rule eq_resolve :premises (@p227 @p226)) % 0.44/0.63 (step @p229 :rule reordering :premises (@p228) :args ((or @t154 @t166))) % 0.44/0.63 (step @p230 :rule chain_m_resolution :premises (@p229 @p217) :args (@t154 @t168 @t169)) % 0.44/0.63 (assume-push @p297 @t154) % 0.44/0.63 (step @p232 :rule instantiate :premises (@p297) :args ((@list @t160 @t171))) % 0.44/0.63 (step-pop @p298 :rule scope :premises (@p232)) % 0.44/0.63 (step @p233 :rule process_scope :premises (@p298) :args (@t177)) % 0.44/0.63 (step @p235 :rule implies_elim :premises (@p233)) % 0.44/0.63 (step @p236 :rule chain_m_resolution :premises (@p235 @p230) :args (@t177 @t64 (@list @t154))) % 0.44/0.63 (step @p237 :rule bool-double-not-elim :args (@t162)) % 0.44/0.63 (step @p238 :rule nary_cong :premises (@p219 @p237) :args ((or @t166 (not @t163)))) % 0.44/0.63 (step @p239 :rule cnf_or_neg :args (@t166 1)) % 0.44/0.63 (step @p240 :rule eq_resolve :premises (@p239 @p238)) % 0.44/0.63 (step @p241 :rule reordering :premises (@p240) :args ((or @t162 @t166))) % 0.44/0.63 (step @p242 :rule chain_m_resolution :premises (@p241 @p217) :args (@t162 @t168 @t169)) % 0.44/0.63 (assume-push @p299 @t162) % 0.44/0.63 (step @p244 :rule instantiate :premises (@p299) :args (@t178)) % 0.44/0.63 (step-pop @p300 :rule scope :premises (@p244)) % 0.44/0.63 (step @p245 :rule process_scope :premises (@p300) :args (@t180)) % 0.44/0.63 (step @p247 :rule implies_elim :premises (@p245)) % 0.44/0.63 (step @p248 :rule chain_m_resolution :premises (@p247 @p242) :args (@t180 @t64 (@list @t162))) % 0.44/0.63 (step @p249 :rule cnf_or_neg :args (@t166 4)) % 0.44/0.63 (step @p250 :rule chain_m_resolution :premises (@p249 @p217) :args ((not @t150) @t168 @t169)) % 0.44/0.63 (step @p251 :rule cnf_or_pos :args (@t180)) % 0.44/0.63 (step @p252 :rule reordering :premises (@p251) :args ((or @t155 @t150 @t179 (not @t180)))) % 0.44/0.63 (step @p253 :rule chain_m_resolution :premises (@p252 @p230 @p250 @p248) :args (@t179 @t181 (@list @t154 @t150 @t180))) % 0.44/0.63 (step @p254 :rule refl :args (@t183)) % 0.44/0.63 (step @p255 :rule bool-double-not-elim :args (@t170)) % 0.44/0.63 (step @p256 :rule nary_cong :premises (@p255 @p254) :args ((or (not @t179) @t183))) % 0.44/0.63 (assume-push @p301 @t179) % 0.44/0.63 (step @p258 :rule skolemize :premises (@p301)) % 0.44/0.63 (step-pop @p302 :rule scope :premises (@p258)) % 0.44/0.63 (step @p259 :rule process_scope :premises (@p302) :args (@t183)) % 0.44/0.63 (step @p261 :rule implies_elim :premises (@p259)) % 0.44/0.63 (step @p262 :rule eq_resolve :premises (@p261 @p256)) % 0.44/0.63 (step @p263 :rule chain_m_resolution :premises (@p262 @p253) :args (@t183 @t168 (@list @t170))) % 0.44/0.63 (step @p264 :rule cnf_or_neg :args (@t182 1)) % 0.44/0.63 (step @p265 :rule chain_m_resolution :premises (@p264 @p263) :args ((not @t172) @t168 @t184)) % 0.44/0.63 (step @p266 :rule bool-double-not-elim :args (@t173)) % 0.44/0.63 (step @p267 :rule refl :args (@t182)) % 0.44/0.63 (step @p268 :rule nary_cong :premises (@p267 @p266) :args ((or @t182 (not @t174)))) % 0.44/0.63 (step @p269 :rule cnf_or_neg :args (@t182 0)) % 0.44/0.63 (step @p270 :rule eq_resolve :premises (@p269 @p268)) % 0.44/0.63 (step @p271 :rule reordering :premises (@p270) :args ((or @t173 @t182))) % 0.44/0.63 (step @p272 :rule chain_m_resolution :premises (@p271 @p263) :args (@t173 @t168 @t184)) % 0.44/0.63 (step @p273 :rule cnf_or_pos :args (@t177)) % 0.44/0.63 (step @p274 :rule reordering :premises (@p273) :args ((or @t174 @t172 @t176 (not @t177)))) % 0.44/0.63 (step @p275 :rule chain_m_resolution :premises (@p274 @p272 @p265 @p236) :args (@t176 @t181 (@list @t173 @t172 @t177))) % 0.44/0.63 (step @p276 :rule bool-double-not-elim :args (@t157)) % 0.44/0.63 (step @p277 :rule nary_cong :premises (@p219 @p276) :args ((or @t166 (not @t158)))) % 0.44/0.63 (step @p278 :rule cnf_or_neg :args (@t166 2)) % 0.44/0.63 (step @p279 :rule eq_resolve :premises (@p278 @p277)) % 0.44/0.63 (step @p280 :rule reordering :premises (@p279) :args ((or @t157 @t166))) % 0.44/0.63 (step @p281 :rule chain_m_resolution :premises (@p280 @p217) :args (@t157 @t168 @t169)) % 0.44/0.63 (step @p282 :rule cnf_or_pos :args (@t185)) % 0.44/0.63 (step @p283 :rule reordering :premises (@p282) :args ((or @t158 @t155 @t175 @t186))) % 0.44/0.63 (step @p284 :rule chain_m_resolution :premises (@p283 @p281 @p230 @p275) :args (@t186 (@list false false true) (@list @t157 @t154 @t175))) % 0.44/0.63 (assume-push @p303 @t164) % 0.44/0.63 (step @p286 :rule instantiate :premises (@p303) :args (@t178)) % 0.44/0.63 (step-pop @p304 :rule scope :premises (@p286)) % 0.44/0.63 (step @p287 :rule process_scope :premises (@p304) :args (@t185)) % 0.44/0.63 (step @p289 :rule implies_elim :premises (@p287)) % 0.44/0.63 (step @p290 false :rule chain_m_resolution :premises (@p289 @p284 @p224) :args (false (@list true false) (@list @t185 @t164))) % 0.44/0.63 ) % 0.44/0.63 % SZS output end Proof % 0.44/0.63 % cvc5 exiting %------------------------------------------------------------------------------