%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN067+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 09:07:58 AM UTC 2026 % Result : Theorem 0.15s 0.37s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYN067+1 : TPTP v9.2.1. Released v2.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 23:19:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.37 % SZS status Theorem % 0.15/0.37 % SZS output start Proof % 0.15/0.37 ( % 0.15/0.37 (declare-sort $$unsorted 0) % 0.15/0.37 (declare-const tptp.a $$unsorted) % 0.15/0.37 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.big_r (-> $$unsorted $$unsorted Bool)) % 0.15/0.37 (define @t1 () (@var "Z2" $$unsorted)) % 0.15/0.37 (define @t2 () (@var "W2" $$unsorted)) % 0.15/0.37 (define @t3 () (tptp.big_r @t2 @t1)) % 0.15/0.37 (define @t4 () (@var "X1" $$unsorted)) % 0.15/0.37 (define @t5 () (tptp.big_r @t4 @t2)) % 0.15/0.37 (define @t6 () (tptp.big_p @t1)) % 0.15/0.37 (define @t7 () (and @t6 @t5 @t3)) % 0.15/0.37 (define @t8 () (@list @t1 @t2)) % 0.15/0.37 (define @t9 () (exists @t8 @t7)) % 0.15/0.37 (define @t10 () (@var "Y1" $$unsorted)) % 0.15/0.37 (define @t11 () (tptp.big_r @t4 @t10)) % 0.15/0.37 (define @t12 () (tptp.big_p @t10)) % 0.15/0.37 (define @t13 () (and @t12 @t11)) % 0.15/0.37 (define @t14 () (@list @t10)) % 0.15/0.37 (define @t15 () (exists @t14 @t13)) % 0.15/0.37 (define @t16 () (not @t15)) % 0.15/0.37 (define @t17 () (tptp.big_p tptp.a)) % 0.15/0.37 (define @t18 () (not @t17)) % 0.15/0.37 (define @t19 () (or @t18 @t16 @t9)) % 0.15/0.37 (define @t20 () (@var "Z1" $$unsorted)) % 0.15/0.37 (define @t21 () (@var "W1" $$unsorted)) % 0.15/0.37 (define @t22 () (tptp.big_r @t21 @t20)) % 0.15/0.37 (define @t23 () (tptp.big_r @t4 @t21)) % 0.15/0.37 (define @t24 () (tptp.big_p @t20)) % 0.15/0.37 (define @t25 () (and @t24 @t23 @t22)) % 0.15/0.37 (define @t26 () (@list @t20 @t21)) % 0.15/0.37 (define @t27 () (exists @t26 @t25)) % 0.15/0.37 (define @t28 () (tptp.big_p @t4)) % 0.15/0.37 (define @t29 () (or @t18 @t28 @t27)) % 0.15/0.37 (define @t30 () (and @t29 @t19)) % 0.15/0.37 (define @t31 () (@list @t4)) % 0.15/0.37 (define @t32 () (forall @t31 @t30)) % 0.15/0.37 (define @t33 () (@var "Z" $$unsorted)) % 0.15/0.37 (define @t34 () (@var "W" $$unsorted)) % 0.15/0.37 (define @t35 () (tptp.big_r @t34 @t33)) % 0.15/0.37 (define @t36 () (@var "X" $$unsorted)) % 0.15/0.37 (define @t37 () (tptp.big_r @t36 @t34)) % 0.15/0.37 (define @t38 () (tptp.big_p @t33)) % 0.15/0.37 (define @t39 () (and @t38 @t37 @t35)) % 0.15/0.37 (define @t40 () (@list @t33 @t34)) % 0.15/0.37 (define @t41 () (exists @t40 @t39)) % 0.15/0.37 (define @t42 () (@var "Y" $$unsorted)) % 0.15/0.37 (define @t43 () (tptp.big_r @t36 @t42)) % 0.15/0.37 (define @t44 () (tptp.big_p @t42)) % 0.15/0.37 (define @t45 () (and @t44 @t43)) % 0.15/0.37 (define @t46 () (@list @t42)) % 0.15/0.37 (define @t47 () (exists @t46 @t45)) % 0.15/0.37 (define @t48 () (tptp.big_p @t36)) % 0.15/0.37 (define @t49 () (=> @t48 @t47)) % 0.15/0.37 (define @t50 () (and @t17 @t49)) % 0.15/0.37 (define @t51 () (=> @t50 @t41)) % 0.15/0.37 (define @t52 () (@list @t36)) % 0.15/0.37 (define @t53 () (forall @t52 @t51)) % 0.15/0.37 (define @t54 () (= @t53 @t32)) % 0.15/0.37 (define @t55 () (not @t54)) % 0.15/0.37 (define @t56 () (not @t35)) % 0.15/0.37 (define @t57 () (not @t37)) % 0.15/0.37 (define @t58 () (not @t38)) % 0.15/0.37 (define @t59 () (or @t58 @t57 @t56)) % 0.15/0.37 (define @t60 () (not (forall @t40 @t59))) % 0.15/0.37 (define @t61 () (@var "BOUND_VARIABLE_7497" $$unsorted)) % 0.15/0.37 (define @t62 () (or (not (tptp.big_p @t61)) (not (tptp.big_r @t36 @t61)))) % 0.15/0.37 (define @t63 () (and @t48 @t62)) % 0.15/0.37 (define @t64 () (or @t63 @t60)) % 0.15/0.37 (define @t65 () (forall (@list @t36 @t61) @t64)) % 0.15/0.37 (define @t66 () (or @t18 @t65)) % 0.15/0.37 (define @t67 () (not @t18)) % 0.15/0.37 (define @t68 () (not @t22)) % 0.15/0.37 (define @t69 () (@var "BOUND_VARIABLE_7540" $$unsorted)) % 0.15/0.37 (define @t70 () (not @t24)) % 0.15/0.37 (define @t71 () (not (forall @t26 (or @t70 (not (tptp.big_r @t69 @t21)) @t68)))) % 0.15/0.37 (define @t72 () (tptp.big_p @t69)) % 0.15/0.37 (define @t73 () (or @t72 @t71)) % 0.15/0.37 (define @t74 () (@list @t69)) % 0.15/0.37 (define @t75 () (forall @t74 @t73)) % 0.15/0.37 (define @t76 () (or @t18 @t75)) % 0.15/0.37 (define @t77 () (@var "BOUND_VARIABLE_7572" $$unsorted)) % 0.15/0.37 (define @t78 () (@var "BOUND_VARIABLE_7551" $$unsorted)) % 0.15/0.37 (define @t79 () (not (tptp.big_r @t78 @t77))) % 0.15/0.37 (define @t80 () (not (tptp.big_p @t77))) % 0.15/0.37 (define @t81 () (not @t3)) % 0.15/0.37 (define @t82 () (not @t6)) % 0.15/0.37 (define @t83 () (not (forall @t8 (or @t82 (not (tptp.big_r @t78 @t2)) @t81)))) % 0.15/0.37 (define @t84 () (or @t83 @t80 @t79)) % 0.15/0.37 (define @t85 () (@list @t78 @t77)) % 0.15/0.37 (define @t86 () (forall @t85 @t84)) % 0.15/0.37 (define @t87 () (or @t18 @t86)) % 0.15/0.37 (define @t88 () (or @t80 @t79)) % 0.15/0.37 (define @t89 () (or @t88 @t83)) % 0.15/0.37 (define @t90 () (forall @t85 @t89)) % 0.15/0.37 (define @t91 () (@list @t77)) % 0.15/0.37 (define @t92 () (forall @t91 @t89)) % 0.15/0.37 (define @t93 () (@list @t78)) % 0.15/0.37 (define @t94 () (forall @t91 @t88)) % 0.15/0.37 (define @t95 () (or @t94 @t83)) % 0.15/0.37 (define @t96 () (not @t12)) % 0.15/0.37 (define @t97 () (forall @t14 (or @t96 (not (tptp.big_r @t78 @t10))))) % 0.15/0.37 (define @t98 () (or @t97 @t83)) % 0.15/0.37 (define @t99 () (forall @t93 @t98)) % 0.15/0.37 (define @t100 () (or @t18 @t99)) % 0.15/0.37 (define @t101 () (or @t18 @t98)) % 0.15/0.37 (define @t102 () (or @t18 @t97 @t83)) % 0.15/0.37 (define @t103 () (forall @t93 @t102)) % 0.15/0.37 (define @t104 () (or @t18 @t73)) % 0.15/0.37 (define @t105 () (or @t18 @t72 @t71)) % 0.15/0.37 (define @t106 () (forall @t74 @t105)) % 0.15/0.37 (define @t107 () (not @t5)) % 0.15/0.37 (define @t108 () (or @t82 @t107 @t81)) % 0.15/0.37 (define @t109 () (forall @t14 (or @t96 (not @t11)))) % 0.15/0.37 (define @t110 () (or @t18 @t109 (not (forall @t8 @t108)))) % 0.15/0.37 (define @t111 () (forall @t31 @t110)) % 0.15/0.37 (define @t112 () (@list @t4)) % 0.15/0.37 (define @t113 () (not @t23)) % 0.15/0.37 (define @t114 () (or @t70 @t113 @t68)) % 0.15/0.37 (define @t115 () (or @t18 @t28 (not (forall @t26 @t114)))) % 0.15/0.37 (define @t116 () (forall @t31 @t115)) % 0.15/0.37 (define @t117 () (and @t116 @t111)) % 0.15/0.37 (define @t118 () (forall @t8 (not @t7))) % 0.15/0.37 (define @t119 () (not @t118)) % 0.15/0.37 (define @t120 () (forall @t14 (not @t13))) % 0.15/0.37 (define @t121 () (not @t120)) % 0.15/0.37 (define @t122 () (forall @t26 (not @t25))) % 0.15/0.37 (define @t123 () (not @t122)) % 0.15/0.37 (define @t124 () (@list @t61)) % 0.15/0.37 (define @t125 () (forall @t124 @t64)) % 0.15/0.37 (define @t126 () (forall @t124 @t62)) % 0.15/0.37 (define @t127 () (forall @t124 @t48)) % 0.15/0.37 (define @t128 () (and @t127 @t126)) % 0.15/0.37 (define @t129 () (forall @t124 @t63)) % 0.15/0.37 (define @t130 () (or @t129 @t60)) % 0.15/0.37 (define @t131 () (forall @t46 (or (not @t44) (not @t43)))) % 0.15/0.37 (define @t132 () (and @t48 @t131)) % 0.15/0.37 (define @t133 () (or @t132 @t60)) % 0.15/0.37 (define @t134 () (forall @t52 @t133)) % 0.15/0.37 (define @t135 () (or @t18 @t134)) % 0.15/0.37 (define @t136 () (or @t18 @t133)) % 0.15/0.37 (define @t137 () (or @t18 @t132 @t60)) % 0.15/0.37 (define @t138 () (not @t131)) % 0.15/0.37 (define @t139 () (=> @t48 @t138)) % 0.15/0.37 (define @t140 () (and @t17 @t139)) % 0.15/0.37 (define @t141 () (forall @t40 (not @t39))) % 0.15/0.37 (define @t142 () (not @t141)) % 0.15/0.37 (define @t143 () (forall @t46 (not @t45))) % 0.15/0.37 (define @t144 () (not @t143)) % 0.15/0.37 (define @t145 () (and @t76 @t87)) % 0.15/0.37 (define @t146 () (not @t87)) % 0.15/0.37 (define @t147 () (@quantifiers_skolemize @t65 1)) % 0.15/0.37 (define @t148 () (@quantifiers_skolemize @t65 0)) % 0.15/0.37 (define @t149 () (tptp.big_r @t148 @t147)) % 0.15/0.37 (define @t150 () (not @t149)) % 0.15/0.37 (define @t151 () (tptp.big_p @t147)) % 0.15/0.37 (define @t152 () (not @t151)) % 0.15/0.37 (define @t153 () (forall @t8 (or @t82 (not (tptp.big_r @t148 @t2)) @t81))) % 0.15/0.37 (define @t154 () (not @t153)) % 0.15/0.37 (define @t155 () (or @t154 @t152 @t150)) % 0.15/0.37 (define @t156 () (forall @t40 (or @t58 (not (tptp.big_r @t148 @t34)) @t56))) % 0.15/0.37 (define @t157 () (not @t156)) % 0.15/0.37 (define @t158 () (or @t152 @t150)) % 0.15/0.37 (define @t159 () (tptp.big_p @t148)) % 0.15/0.37 (define @t160 () (and @t159 @t158)) % 0.15/0.37 (define @t161 () (or @t160 @t157)) % 0.15/0.37 (define @t162 () (not @t161)) % 0.15/0.37 (define @t163 () (not @t65)) % 0.15/0.37 (define @t164 () (not @t145)) % 0.15/0.37 (define @t165 () (@list @t34 @t33)) % 0.15/0.37 (define @t166 () (@list @t2 @t1)) % 0.15/0.37 (define @t167 () (@list @t21 @t20)) % 0.15/0.37 (define @t168 () (forall @t26 (or @t70 (not (tptp.big_r @t148 @t21)) @t68))) % 0.15/0.37 (define @t169 () (not @t168)) % 0.15/0.37 (define @t170 () (or @t159 @t169)) % 0.15/0.37 (define @t171 () (not @t155)) % 0.15/0.37 (define @t172 () (@quantifiers_skolemize @t75 0)) % 0.15/0.37 (define @t173 () (forall @t26 (or @t70 (not (tptp.big_r @t172 @t21)) @t68))) % 0.15/0.37 (define @t174 () (not @t173)) % 0.15/0.37 (define @t175 () (tptp.big_p @t172)) % 0.15/0.37 (define @t176 () (or @t175 @t174)) % 0.15/0.37 (define @t177 () (not @t176)) % 0.15/0.37 (define @t178 () (not @t75)) % 0.15/0.37 (define @t179 () (and @t175 (or @t18 (not (tptp.big_r @t172 tptp.a))))) % 0.15/0.37 (define @t180 () (forall @t40 (or @t58 (not (tptp.big_r @t172 @t34)) @t56))) % 0.15/0.37 (define @t181 () (not @t180)) % 0.15/0.37 (define @t182 () (or @t179 @t181)) % 0.15/0.37 (define @t183 () (@list true)) % 0.15/0.37 (define @t184 () (@list @t87)) % 0.15/0.37 (define @t185 () (@list false false)) % 0.15/0.37 (define @t186 () (@quantifiers_skolemize @t86 1)) % 0.15/0.37 (define @t187 () (@quantifiers_skolemize @t86 0)) % 0.15/0.37 (define @t188 () (forall @t40 (or @t58 (not (tptp.big_r @t187 @t34)) @t56))) % 0.15/0.37 (define @t189 () (not @t188)) % 0.15/0.37 (define @t190 () (tptp.big_r @t187 @t186)) % 0.15/0.37 (define @t191 () (not @t190)) % 0.15/0.37 (define @t192 () (tptp.big_p @t186)) % 0.15/0.37 (define @t193 () (not @t192)) % 0.15/0.37 (define @t194 () (or @t193 @t191)) % 0.15/0.37 (define @t195 () (and (tptp.big_p @t187) @t194)) % 0.15/0.37 (define @t196 () (or @t195 @t189)) % 0.15/0.37 (define @t197 () (@list false)) % 0.15/0.37 (define @t198 () (not @t86)) % 0.15/0.37 (define @t199 () (forall @t8 (or @t82 (not (tptp.big_r @t187 @t2)) @t81))) % 0.15/0.37 (define @t200 () (not @t199)) % 0.15/0.37 (define @t201 () (or @t200 @t193 @t191)) % 0.15/0.37 (define @t202 () (not @t201)) % 0.15/0.37 (define @t203 () (@list @t201)) % 0.15/0.37 (define @t204 () (not @t194)) % 0.15/0.37 (define @t205 () (not @t195)) % 0.15/0.37 (assume @p1 @t55) % 0.15/0.37 (assume @p2 true) % 0.15/0.37 (step @p3 :rule bool-double-not-elim :args (@t17)) % 0.15/0.37 (step @p4 :rule refl :args (@t66)) % 0.15/0.37 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t66 @t67))) % 0.15/0.37 (step @p6 :rule cnf_or_neg :args (@t66 0)) % 0.15/0.37 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 0.15/0.37 (step @p8 :rule reordering :premises (@p7) :args ((or @t17 @t66))) % 0.15/0.37 (step @p9 :rule refl :args (@t76)) % 0.15/0.37 (step @p10 :rule nary_cong :premises (@p9 @p3) :args ((or @t76 @t67))) % 0.15/0.37 (step @p11 :rule cnf_or_neg :args (@t76 0)) % 0.15/0.37 (step @p12 :rule eq_resolve :premises (@p11 @p10)) % 0.15/0.37 (step @p13 :rule reordering :premises (@p12) :args ((or @t17 @t76))) % 0.15/0.37 (step @p14 :rule refl :args (@t87)) % 0.15/0.37 (step @p15 :rule nary_cong :premises (@p14 @p3) :args ((or @t87 @t67))) % 0.15/0.37 (step @p16 :rule cnf_or_neg :args (@t87 0)) % 0.15/0.37 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.15/0.37 (step @p18 :rule reordering :premises (@p17) :args ((or @t17 @t87))) % 0.15/0.37 (step @p19 :rule aci_norm :args ((= @t89 @t84))) % 0.15/0.37 (step @p20 :rule cong :premises (@p19) :args (@t90)) % 0.15/0.37 (step @p21 :rule quant-merge-prenex :args ((= (forall @t93 @t92) @t90))) % 0.15/0.37 (step @p22 :rule refl :args (@t83)) % 0.15/0.37 (step @p23 :rule alpha_equiv :args (@t94 (@list @t77) (@list @t10))) % 0.15/0.37 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t95)) % 0.15/0.37 (step @p25 :rule quant-miniscope-or :args ((= @t92 @t95))) % 0.15/0.37 (step @p26 :rule trans :premises (@p25 @p24)) % 0.15/0.37 (step @p27 :rule symm :premises (@p26)) % 0.15/0.37 (step @p28 :rule cong :premises (@p27) :args (@t99)) % 0.15/0.37 (step @p29 :rule trans :premises (@p28 @p21)) % 0.15/0.37 (step @p30 :rule trans :premises (@p29 @p20)) % 0.15/0.37 (step @p31 :rule refl :args (@t18)) % 0.15/0.37 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t100)) % 0.15/0.37 (step @p33 :rule quant-miniscope-or :args ((= (forall @t93 @t101) @t100))) % 0.15/0.37 (step @p34 :rule aci_norm :args ((= @t102 @t101))) % 0.15/0.37 (step @p35 :rule cong :premises (@p34) :args (@t103)) % 0.15/0.37 (step @p36 :rule trans :premises (@p35 @p33)) % 0.15/0.37 (step @p37 :rule trans :premises (@p36 @p32)) % 0.15/0.37 (step @p38 :rule quant-miniscope-or :args ((= (forall @t74 @t104) @t76))) % 0.15/0.37 (step @p39 :rule aci_norm :args ((= @t105 @t104))) % 0.15/0.37 (step @p40 :rule cong :premises (@p39) :args (@t106)) % 0.15/0.37 (step @p41 :rule trans :premises (@p40 @p38)) % 0.15/0.37 (step @p42 :rule nary_cong :premises (@p41 @p37) :args ((and @t106 @t103))) % 0.15/0.37 (step @p43 :rule alpha_equiv :args (@t111 @t112 (@list @t78))) % 0.15/0.37 (step @p44 :rule alpha_equiv :args (@t116 @t112 (@list @t69))) % 0.15/0.37 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t117)) % 0.15/0.37 (step @p46 :rule quant-miniscope-and :args ((= (forall @t31 (and @t115 @t110)) @t117))) % 0.15/0.37 (step @p47 :rule trans :premises (@p46 @p45)) % 0.15/0.37 (step @p48 :rule trans :premises (@p47 @p42)) % 0.15/0.37 (step @p49 :rule aci_norm :args ((= (or @t82 (or @t107 @t81)) @t108))) % 0.15/0.37 (step @p50 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.15/0.37 (step @p51 :rule refl :args (@t82)) % 0.15/0.37 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t82 (not (and @t5 @t3))))) % 0.15/0.37 (step @p53 :rule bool-and-de-morgan :args (@t6 @t5 (and @t3))) % 0.15/0.37 (step @p54 :rule trans :premises (@p53 @p52)) % 0.15/0.37 (step @p55 :rule trans :premises (@p54 @p49)) % 0.15/0.37 (step @p56 :rule cong :premises (@p55) :args (@t118)) % 0.15/0.37 (step @p57 :rule cong :premises (@p56) :args (@t119)) % 0.15/0.37 (step @p58 :rule exists-elim :args ((= @t9 @t119))) % 0.15/0.37 (step @p59 :rule trans :premises (@p58 @p57)) % 0.15/0.37 (step @p60 :rule bool-double-not-elim :args (@t109)) % 0.15/0.37 (step @p61 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.15/0.37 (step @p62 :rule cong :premises (@p61) :args (@t120)) % 0.15/0.37 (step @p63 :rule cong :premises (@p62) :args (@t121)) % 0.15/0.37 (step @p64 :rule exists-elim :args ((= @t15 @t121))) % 0.15/0.37 (step @p65 :rule trans :premises (@p64 @p63)) % 0.15/0.37 (step @p66 :rule cong :premises (@p65) :args (@t16)) % 0.15/0.37 (step @p67 :rule trans :premises (@p66 @p60)) % 0.15/0.37 (step @p68 :rule nary_cong :premises (@p31 @p67 @p59) :args (@t19)) % 0.15/0.37 (step @p69 :rule aci_norm :args ((= (or @t70 (or @t113 @t68)) @t114))) % 0.15/0.37 (step @p70 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.15/0.37 (step @p71 :rule refl :args (@t70)) % 0.15/0.37 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t70 (not (and @t23 @t22))))) % 0.15/0.37 (step @p73 :rule bool-and-de-morgan :args (@t24 @t23 (and @t22))) % 0.15/0.37 (step @p74 :rule trans :premises (@p73 @p72)) % 0.15/0.37 (step @p75 :rule trans :premises (@p74 @p69)) % 0.15/0.37 (step @p76 :rule cong :premises (@p75) :args (@t122)) % 0.15/0.37 (step @p77 :rule cong :premises (@p76) :args (@t123)) % 0.15/0.37 (step @p78 :rule exists-elim :args ((= @t27 @t123))) % 0.15/0.37 (step @p79 :rule trans :premises (@p78 @p77)) % 0.15/0.37 (step @p80 :rule refl :args (@t28)) % 0.15/0.37 (step @p81 :rule nary_cong :premises (@p31 @p80 @p79) :args (@t29)) % 0.15/0.37 (step @p82 :rule nary_cong :premises (@p81 @p68) :args (@t30)) % 0.15/0.37 (step @p83 :rule cong :premises (@p82) :args (@t32)) % 0.15/0.37 (step @p84 :rule trans :premises (@p83 @p48)) % 0.15/0.37 (step @p85 :rule quant-merge-prenex :args ((= (forall @t52 @t125) @t65))) % 0.15/0.37 (step @p86 :rule refl :args (@t60)) % 0.15/0.37 (step @p87 :rule alpha_equiv :args (@t126 (@list @t61) (@list @t42))) % 0.15/0.37 (step @p88 :rule quant-unused-vars :args ((= @t127 @t48))) % 0.15/0.37 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t128)) % 0.15/0.37 (step @p90 :rule quant-miniscope-and :args ((= @t129 @t128))) % 0.15/0.37 (step @p91 :rule trans :premises (@p90 @p89)) % 0.15/0.37 (step @p92 :rule nary_cong :premises (@p91 @p86) :args (@t130)) % 0.15/0.37 (step @p93 :rule quant-miniscope-or :args ((= @t125 @t130))) % 0.15/0.37 (step @p94 :rule trans :premises (@p93 @p92)) % 0.15/0.37 (step @p95 :rule symm :premises (@p94)) % 0.15/0.37 (step @p96 :rule cong :premises (@p95) :args (@t134)) % 0.15/0.37 (step @p97 :rule trans :premises (@p96 @p85)) % 0.15/0.37 (step @p98 :rule nary_cong :premises (@p31 @p97) :args (@t135)) % 0.15/0.37 (step @p99 :rule quant-miniscope-or :args ((= (forall @t52 @t136) @t135))) % 0.15/0.37 (step @p100 :rule aci_norm :args ((= @t137 @t136))) % 0.15/0.37 (step @p101 :rule cong :premises (@p100) :args ((forall @t52 @t137))) % 0.15/0.37 (step @p102 :rule trans :premises (@p101 @p99)) % 0.15/0.37 (step @p103 :rule trans :premises (@p102 @p98)) % 0.15/0.37 (step @p104 :rule aci_norm :args ((= (or (or @t18 @t132) @t60) @t137))) % 0.15/0.37 (step @p105 :rule bool-double-not-elim :args (@t131)) % 0.15/0.37 (step @p106 :rule refl :args (@t48)) % 0.15/0.37 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((and @t48 (not @t138)))) % 0.15/0.37 (step @p108 :rule bool-implies-de-morgan :args (@t48 @t138)) % 0.15/0.37 (step @p109 :rule trans :premises (@p108 @p107)) % 0.15/0.37 (step @p110 :rule refl :args (@t18)) % 0.15/0.37 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t18 (not @t139)))) % 0.15/0.37 (step @p112 :rule bool-and-de-morgan :args (@t17 @t139 true)) % 0.15/0.37 (step @p113 :rule trans :premises (@p112 @p111)) % 0.15/0.37 (step @p114 :rule nary_cong :premises (@p113 @p86) :args ((or (not @t140) @t60))) % 0.15/0.37 (step @p115 :rule trans :premises (@p114 @p104)) % 0.15/0.37 (step @p116 :rule bool-impl-elim :args (@t140 @t60)) % 0.15/0.37 (step @p117 :rule trans :premises (@p116 @p115)) % 0.15/0.37 (step @p118 :rule cong :premises (@p117) :args ((forall @t52 (=> @t140 @t60)))) % 0.15/0.37 (step @p119 :rule trans :premises (@p118 @p103)) % 0.15/0.37 (step @p120 :rule aci_norm :args ((= (or @t58 (or @t57 @t56)) @t59))) % 0.15/0.37 (step @p121 :rule bool-and-de-morgan :args (@t37 @t35 true)) % 0.15/0.37 (step @p122 :rule refl :args (@t58)) % 0.15/0.37 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or @t58 (not (and @t37 @t35))))) % 0.15/0.37 (step @p124 :rule bool-and-de-morgan :args (@t38 @t37 (and @t35))) % 0.15/0.37 (step @p125 :rule trans :premises (@p124 @p123)) % 0.15/0.37 (step @p126 :rule trans :premises (@p125 @p120)) % 0.15/0.37 (step @p127 :rule cong :premises (@p126) :args (@t141)) % 0.15/0.37 (step @p128 :rule cong :premises (@p127) :args (@t142)) % 0.15/0.37 (step @p129 :rule exists-elim :args ((= @t41 @t142))) % 0.15/0.37 (step @p130 :rule trans :premises (@p129 @p128)) % 0.15/0.37 (step @p131 :rule bool-and-de-morgan :args (@t44 @t43 true)) % 0.15/0.37 (step @p132 :rule cong :premises (@p131) :args (@t143)) % 0.15/0.37 (step @p133 :rule cong :premises (@p132) :args (@t144)) % 0.15/0.37 (step @p134 :rule exists-elim :args ((= @t47 @t144))) % 0.15/0.37 (step @p135 :rule trans :premises (@p134 @p133)) % 0.15/0.37 (step @p136 :rule refl :args (@t48)) % 0.15/0.37 (step @p137 :rule cong :premises (@p136 @p135) :args (@t49)) % 0.15/0.37 (step @p138 :rule refl :args (@t17)) % 0.15/0.37 (step @p139 :rule nary_cong :premises (@p138 @p137) :args (@t50)) % 0.15/0.37 (step @p140 :rule cong :premises (@p139 @p130) :args (@t51)) % 0.15/0.37 (step @p141 :rule cong :premises (@p140) :args (@t53)) % 0.15/0.37 (step @p142 :rule trans :premises (@p141 @p119)) % 0.15/0.37 (step @p143 :rule cong :premises (@p142 @p84) :args (@t54)) % 0.15/0.37 (step @p144 :rule cong :premises (@p143) :args (@t55)) % 0.15/0.37 (step @p145 :rule eq_resolve :premises (@p1 @p144)) % 0.15/0.37 (step @p146 :rule not_equiv_elim2 :premises (@p145)) % 0.15/0.37 (step @p147 :rule cnf_and_neg :args (@t145)) % 0.15/0.37 (step @p148 :rule chain_m_resolution :premises (@p147 @p146 @p18 @p13 @p8) :args (@t17 (@list true false false false) (@list @t145 @t87 @t76 @t66))) % 0.15/0.38 (step @p149 :rule cnf_or_pos :args (@t87)) % 0.15/0.38 (step @p150 :rule reordering :premises (@p149) :args ((or @t18 @t86 @t146))) % 0.15/0.38 (assume-push @p289 @t86) % 0.15/0.38 (step @p152 :rule instantiate :premises (@p289) :args ((@list @t148 @t147))) % 0.15/0.38 (step-pop @p290 :rule scope :premises (@p152)) % 0.15/0.38 (step @p153 :rule process_scope :premises (@p290) :args (@t155)) % 0.15/0.38 (step @p155 :rule implies_elim :premises (@p153)) % 0.15/0.38 (step @p156 :rule cnf_or_neg :args (@t66 1)) % 0.15/0.38 (step @p157 :rule not_equiv_elim1 :premises (@p145)) % 0.15/0.38 (step @p158 :rule refl :args (@t162)) % 0.15/0.38 (step @p159 :rule bool-double-not-elim :args (@t65)) % 0.15/0.38 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or (not @t163) @t162))) % 0.15/0.38 (assume-push @p291 @t163) % 0.15/0.38 (step @p162 :rule skolemize :premises (@p291)) % 0.15/0.38 (step-pop @p292 :rule scope :premises (@p162)) % 0.15/0.38 (step @p163 :rule process_scope :premises (@p292) :args (@t162)) % 0.15/0.38 (step @p165 :rule implies_elim :premises (@p163)) % 0.15/0.38 (step @p166 :rule eq_resolve :premises (@p165 @p160)) % 0.15/0.38 (step @p167 :rule cnf_and_pos :args (@t145 0)) % 0.15/0.38 (step @p168 :rule reordering :premises (@p167) :args ((or @t76 @t164))) % 0.15/0.38 (step @p169 :rule cnf_or_neg :args (@t161 0)) % 0.15/0.38 (step @p170 :rule bool-double-not-elim :args (@t156)) % 0.15/0.38 (step @p171 :rule refl :args (@t161)) % 0.15/0.38 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or @t161 (not @t157)))) % 0.15/0.38 (step @p173 :rule cnf_or_neg :args (@t161 1)) % 0.15/0.38 (step @p174 :rule eq_resolve :premises (@p173 @p172)) % 0.15/0.38 (step @p175 :rule reordering :premises (@p174) :args ((or @t156 @t161))) % 0.15/0.38 (step @p176 :rule cnf_or_pos :args (@t76)) % 0.15/0.38 (step @p177 :rule reordering :premises (@p176) :args ((or @t18 @t75 (not @t76)))) % 0.15/0.38 (step @p178 :rule alpha_equiv :args (@t156 @t165 @t166)) % 0.15/0.38 (step @p179 :rule equiv_elim1 :premises (@p178)) % 0.15/0.38 (step @p180 :rule alpha_equiv :args (@t156 @t165 @t167)) % 0.15/0.38 (step @p181 :rule equiv_elim1 :premises (@p180)) % 0.15/0.38 (assume-push @p293 @t75) % 0.15/0.38 (step @p183 :rule instantiate :premises (@p293) :args ((@list @t148))) % 0.15/0.38 (step-pop @p294 :rule scope :premises (@p183)) % 0.15/0.38 (step @p184 :rule process_scope :premises (@p294) :args (@t170)) % 0.15/0.38 (step @p186 :rule implies_elim :premises (@p184)) % 0.15/0.38 (step @p187 :rule cnf_or_pos :args (@t170)) % 0.15/0.38 (step @p188 :rule reordering :premises (@p187) :args ((or @t159 @t169 (not @t170)))) % 0.15/0.38 (step @p189 :rule cnf_and_neg :args (@t160)) % 0.15/0.38 (step @p190 :rule bool-double-not-elim :args (@t151)) % 0.15/0.38 (step @p191 :rule refl :args (@t158)) % 0.15/0.38 (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or @t158 (not @t152)))) % 0.15/0.38 (step @p193 :rule cnf_or_neg :args (@t158 0)) % 0.15/0.38 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 0.15/0.38 (step @p195 :rule reordering :premises (@p194) :args ((or @t151 @t158))) % 0.15/0.38 (step @p196 :rule bool-double-not-elim :args (@t149)) % 0.15/0.38 (step @p197 :rule nary_cong :premises (@p191 @p196) :args ((or @t158 (not @t150)))) % 0.15/0.38 (step @p198 :rule cnf_or_neg :args (@t158 1)) % 0.15/0.38 (step @p199 :rule eq_resolve :premises (@p198 @p197)) % 0.15/0.38 (step @p200 :rule reordering :premises (@p199) :args ((or @t149 @t158))) % 0.15/0.38 (step @p201 :rule cnf_or_pos :args (@t155)) % 0.15/0.38 (step @p202 :rule reordering :premises (@p201) :args ((or @t152 @t150 @t154 @t171))) % 0.15/0.38 (step @p203 :rule chain_m_resolution :premises (@p202 @p200 @p195 @p189 @p188 @p186 @p181 @p179 @p177 @p148 @p175 @p169 @p168 @p166 @p157 @p156) :args ((or @t66 @t171) (@list false false true false false false false false false false true false true false true) (@list @t149 @t151 @t158 @t159 @t170 @t168 @t153 @t75 @t17 @t156 @t160 @t76 @t161 @t145 @t65))) % 0.15/0.38 (step @p204 :rule cnf_or_pos :args (@t66)) % 0.15/0.38 (step @p205 :rule reordering :premises (@p204) :args ((or @t18 @t65 (not @t66)))) % 0.15/0.38 (step @p206 :rule cnf_or_neg :args (@t76 1)) % 0.15/0.38 (step @p207 :rule refl :args (@t177)) % 0.15/0.38 (step @p208 :rule bool-double-not-elim :args (@t75)) % 0.15/0.38 (step @p209 :rule nary_cong :premises (@p208 @p207) :args ((or (not @t178) @t177))) % 0.15/0.38 (assume-push @p295 @t178) % 0.15/0.38 (step @p211 :rule skolemize :premises (@p295)) % 0.15/0.38 (step-pop @p296 :rule scope :premises (@p211)) % 0.15/0.38 (step @p212 :rule process_scope :premises (@p296) :args (@t177)) % 0.15/0.38 (step @p214 :rule implies_elim :premises (@p212)) % 0.15/0.38 (step @p215 :rule eq_resolve :premises (@p214 @p209)) % 0.15/0.38 (step @p216 :rule cnf_or_neg :args (@t176 0)) % 0.15/0.38 (step @p217 :rule bool-double-not-elim :args (@t173)) % 0.15/0.38 (step @p218 :rule refl :args (@t176)) % 0.15/0.38 (step @p219 :rule nary_cong :premises (@p218 @p217) :args ((or @t176 (not @t174)))) % 0.15/0.38 (step @p220 :rule cnf_or_neg :args (@t176 1)) % 0.15/0.38 (step @p221 :rule eq_resolve :premises (@p220 @p219)) % 0.15/0.38 (step @p222 :rule reordering :premises (@p221) :args ((or @t173 @t176))) % 0.15/0.38 (step @p223 :rule cnf_and_pos :args (@t179 0)) % 0.15/0.38 (step @p224 :rule reordering :premises (@p223) :args ((or @t175 (not @t179)))) % 0.15/0.38 (step @p225 :rule alpha_equiv :args (@t173 @t167 @t165)) % 0.15/0.38 (step @p226 :rule equiv_elim1 :premises (@p225)) % 0.15/0.38 (assume-push @p297 @t65) % 0.15/0.38 (step @p228 :rule instantiate :premises (@p297) :args ((@list @t172 tptp.a))) % 0.15/0.38 (step-pop @p298 :rule scope :premises (@p228)) % 0.15/0.38 (step @p229 :rule process_scope :premises (@p298) :args (@t182)) % 0.15/0.38 (step @p231 :rule implies_elim :premises (@p229)) % 0.15/0.38 (step @p232 :rule cnf_or_pos :args (@t182)) % 0.15/0.38 (step @p233 :rule reordering :premises (@p232) :args ((or @t179 @t181 (not @t182)))) % 0.15/0.38 (step @p234 :rule chain_m_resolution :premises (@p233 @p231 @p226 @p224 @p222 @p216 @p215 @p206 @p147 @p205 @p148 @p146 @p203 @p155 @p150 @p148) :args (@t146 (@list false false true false true true true true false false true false false false false) (@list @t182 @t180 @t179 @t173 @t175 @t176 @t75 @t76 @t65 @t17 @t145 @t66 @t155 @t86 @t17))) % 0.15/0.38 (step @p235 :rule cnf_and_pos :args (@t145 1)) % 0.15/0.38 (step @p236 :rule reordering :premises (@p235) :args ((or @t87 @t164))) % 0.15/0.38 (step @p237 :rule chain_m_resolution :premises (@p236 @p234) :args (@t164 @t183 @t184)) % 0.15/0.38 (step @p238 :rule chain_m_resolution :premises (@p157 @p237) :args (@t66 @t183 (@list @t145))) % 0.15/0.38 (step @p239 :rule chain_m_resolution :premises (@p205 @p148 @p238) :args (@t65 @t185 (@list @t17 @t66))) % 0.15/0.38 (assume-push @p299 @t65) % 0.15/0.38 (step @p241 :rule instantiate :premises (@p299) :args ((@list @t187 @t186))) % 0.15/0.38 (step-pop @p300 :rule scope :premises (@p241)) % 0.15/0.38 (step @p242 :rule process_scope :premises (@p300) :args (@t196)) % 0.15/0.38 (step @p244 :rule implies_elim :premises (@p242)) % 0.15/0.38 (step @p245 :rule chain_m_resolution :premises (@p244 @p239) :args (@t196 @t197 (@list @t65))) % 0.15/0.38 (step @p246 :rule cnf_or_neg :args (@t87 1)) % 0.15/0.38 (step @p247 :rule chain_m_resolution :premises (@p246 @p234) :args (@t198 @t183 @t184)) % 0.15/0.38 (step @p248 :rule refl :args (@t202)) % 0.15/0.38 (step @p249 :rule bool-double-not-elim :args (@t86)) % 0.15/0.38 (step @p250 :rule nary_cong :premises (@p249 @p248) :args ((or (not @t198) @t202))) % 0.15/0.38 (assume-push @p301 @t198) % 0.15/0.38 (step @p252 :rule skolemize :premises (@p301)) % 0.15/0.38 (step-pop @p302 :rule scope :premises (@p252)) % 0.15/0.38 (step @p253 :rule process_scope :premises (@p302) :args (@t202)) % 0.15/0.38 (step @p255 :rule implies_elim :premises (@p253)) % 0.15/0.38 (step @p256 :rule eq_resolve :premises (@p255 @p250)) % 0.15/0.38 (step @p257 :rule chain_m_resolution :premises (@p256 @p247) :args (@t202 @t183 (@list @t86))) % 0.15/0.38 (step @p258 :rule bool-double-not-elim :args (@t199)) % 0.15/0.38 (step @p259 :rule refl :args (@t201)) % 0.15/0.38 (step @p260 :rule nary_cong :premises (@p259 @p258) :args ((or @t201 (not @t200)))) % 0.15/0.38 (step @p261 :rule cnf_or_neg :args (@t201 0)) % 0.15/0.38 (step @p262 :rule eq_resolve :premises (@p261 @p260)) % 0.15/0.38 (step @p263 :rule reordering :premises (@p262) :args ((or @t199 @t201))) % 0.15/0.38 (step @p264 :rule chain_m_resolution :premises (@p263 @p257) :args (@t199 @t183 @t203)) % 0.15/0.38 (step @p265 :rule alpha_equiv :args (@t199 @t166 @t165)) % 0.15/0.38 (step @p266 :rule equiv_elim1 :premises (@p265)) % 0.15/0.38 (step @p267 :rule chain_m_resolution :premises (@p266 @p264) :args (@t188 @t197 (@list @t199))) % 0.15/0.38 (step @p268 :rule bool-double-not-elim :args (@t190)) % 0.15/0.38 (step @p269 :rule nary_cong :premises (@p259 @p268) :args ((or @t201 (not @t191)))) % 0.15/0.38 (step @p270 :rule cnf_or_neg :args (@t201 2)) % 0.15/0.38 (step @p271 :rule eq_resolve :premises (@p270 @p269)) % 0.15/0.38 (step @p272 :rule reordering :premises (@p271) :args ((or @t190 @t201))) % 0.15/0.38 (step @p273 :rule chain_m_resolution :premises (@p272 @p257) :args (@t190 @t183 @t203)) % 0.15/0.38 (step @p274 :rule bool-double-not-elim :args (@t192)) % 0.15/0.38 (step @p275 :rule nary_cong :premises (@p259 @p274) :args ((or @t201 (not @t193)))) % 0.15/0.38 (step @p276 :rule cnf_or_neg :args (@t201 1)) % 0.15/0.38 (step @p277 :rule eq_resolve :premises (@p276 @p275)) % 0.15/0.38 (step @p278 :rule reordering :premises (@p277) :args ((or @t192 @t201))) % 0.15/0.38 (step @p279 :rule chain_m_resolution :premises (@p278 @p257) :args (@t192 @t183 @t203)) % 0.15/0.38 (step @p280 :rule cnf_or_pos :args (@t194)) % 0.15/0.38 (step @p281 :rule reordering :premises (@p280) :args ((or @t193 @t191 @t204))) % 0.15/0.38 (step @p282 :rule chain_m_resolution :premises (@p281 @p279 @p273) :args (@t204 @t185 (@list @t192 @t190))) % 0.15/0.38 (step @p283 :rule cnf_and_pos :args (@t195 1)) % 0.15/0.38 (step @p284 :rule reordering :premises (@p283) :args ((or @t194 @t205))) % 0.15/0.38 (step @p285 :rule chain_m_resolution :premises (@p284 @p282) :args (@t205 @t183 (@list @t194))) % 0.15/0.38 (step @p286 :rule cnf_or_pos :args (@t196)) % 0.15/0.38 (step @p287 :rule reordering :premises (@p286) :args ((or @t195 @t189 (not @t196)))) % 0.15/0.38 (step @p288 false :rule chain_m_resolution :premises (@p287 @p285 @p267 @p245) :args (false (@list true false false) (@list @t195 @t188 @t196))) % 0.15/0.38 ) % 0.15/0.38 % SZS output end Proof % 0.15/0.38 % cvc5 exiting %------------------------------------------------------------------------------