%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN328+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 : n003.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 09:08:34 AM UTC 2026 % Result : Theorem 0.41s 0.60s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN328+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n003.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 23:23:29 EDT 2026 % 0.19/0.35 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.41/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.60 % SZS status Theorem % 0.41/0.60 % SZS output start Proof % 0.41/0.60 ( % 0.41/0.60 (declare-sort $$unsorted 0) % 0.41/0.60 (declare-const tptp.big_f (-> $$unsorted Bool)) % 0.41/0.60 (declare-const tptp.big_g (-> $$unsorted Bool)) % 0.41/0.60 (declare-const tptp.big_h (-> $$unsorted Bool)) % 0.41/0.60 (define @t1 () (@var "Z" $$unsorted)) % 0.41/0.60 (define @t2 () (tptp.big_h @t1)) % 0.41/0.60 (define @t3 () (tptp.big_g @t1)) % 0.41/0.60 (define @t4 () (tptp.big_f @t1)) % 0.41/0.60 (define @t5 () (and @t4 @t3 @t2)) % 0.41/0.60 (define @t6 () (@var "X" $$unsorted)) % 0.41/0.60 (define @t7 () (tptp.big_h @t6)) % 0.41/0.60 (define @t8 () (@var "Y" $$unsorted)) % 0.41/0.60 (define @t9 () (tptp.big_h @t8)) % 0.41/0.60 (define @t10 () (tptp.big_g @t8)) % 0.41/0.60 (define @t11 () (tptp.big_f @t8)) % 0.41/0.60 (define @t12 () (=> @t11 @t10)) % 0.41/0.60 (define @t13 () (=> @t12 @t9)) % 0.41/0.60 (define @t14 () (= @t13 @t7)) % 0.41/0.60 (define @t15 () (=> @t14 @t5)) % 0.41/0.60 (define @t16 () (tptp.big_g @t6)) % 0.41/0.60 (define @t17 () (=> @t11 @t9)) % 0.41/0.60 (define @t18 () (= @t17 @t16)) % 0.41/0.60 (define @t19 () (=> @t18 @t15)) % 0.41/0.60 (define @t20 () (tptp.big_f @t6)) % 0.41/0.60 (define @t21 () (= @t12 @t20)) % 0.41/0.61 (define @t22 () (@list @t8 @t1)) % 0.41/0.61 (define @t23 () (forall @t22 (=> @t21 @t19))) % 0.41/0.61 (define @t24 () (@list @t6)) % 0.41/0.61 (define @t25 () (exists @t24 @t23)) % 0.41/0.61 (define @t26 () (not @t25)) % 0.41/0.61 (define @t27 () (@var "BOUND_VARIABLE_7479" $$unsorted)) % 0.41/0.61 (define @t28 () (forall (@list @t27) (tptp.big_h @t27))) % 0.41/0.61 (define @t29 () (not @t28)) % 0.41/0.61 (define @t30 () (@var "BOUND_VARIABLE_7474" $$unsorted)) % 0.41/0.61 (define @t31 () (forall (@list @t30) (tptp.big_g @t30))) % 0.41/0.61 (define @t32 () (not @t31)) % 0.41/0.61 (define @t33 () (@var "BOUND_VARIABLE_7469" $$unsorted)) % 0.41/0.61 (define @t34 () (forall (@list @t33) (tptp.big_f @t33))) % 0.41/0.61 (define @t35 () (not @t34)) % 0.41/0.61 (define @t36 () (or @t35 @t32 @t29)) % 0.41/0.61 (define @t37 () (@var "BOUND_VARIABLE_7498" $$unsorted)) % 0.41/0.61 (define @t38 () (tptp.big_h @t37)) % 0.41/0.61 (define @t39 () (not @t9)) % 0.41/0.61 (define @t40 () (and (or (not @t11) @t10) @t39)) % 0.41/0.61 (define @t41 () (tptp.big_g @t37)) % 0.41/0.61 (define @t42 () (and @t11 @t39)) % 0.41/0.61 (define @t43 () (tptp.big_f @t37)) % 0.41/0.61 (define @t44 () (and @t11 (not @t10))) % 0.41/0.61 (define @t45 () (@list @t8)) % 0.41/0.61 (define @t46 () (@list @t37)) % 0.41/0.61 (define @t47 () (or (= @t43 @t44) (= @t41 @t42) (= @t38 @t40))) % 0.41/0.61 (define @t48 () (forall @t45 @t47)) % 0.41/0.61 (define @t49 () (not @t48)) % 0.41/0.61 (define @t50 () (forall @t46 @t49)) % 0.41/0.61 (define @t51 () (forall @t24 @t36)) % 0.41/0.61 (define @t52 () (= @t7 @t40)) % 0.41/0.61 (define @t53 () (= @t16 @t42)) % 0.41/0.61 (define @t54 () (= @t20 @t44)) % 0.41/0.61 (define @t55 () (or @t54 @t53 @t52)) % 0.41/0.61 (define @t56 () (forall @t45 @t55)) % 0.41/0.61 (define @t57 () (not @t56)) % 0.41/0.61 (define @t58 () (forall @t24 @t57)) % 0.41/0.61 (define @t59 () (and @t58 @t51)) % 0.41/0.61 (define @t60 () (and @t34 @t31 @t28)) % 0.41/0.61 (define @t61 () (or @t56 @t60)) % 0.41/0.61 (define @t62 () (forall @t24 (not @t61))) % 0.41/0.61 (define @t63 () (not @t62)) % 0.41/0.61 (define @t64 () (@list @t1)) % 0.41/0.61 (define @t65 () (forall @t64 @t2)) % 0.41/0.61 (define @t66 () (@list @t1)) % 0.41/0.61 (define @t67 () (forall @t64 @t3)) % 0.41/0.61 (define @t68 () (forall @t64 @t4)) % 0.41/0.61 (define @t69 () (and @t68 @t67 @t65)) % 0.41/0.61 (define @t70 () (forall @t64 @t5)) % 0.41/0.61 (define @t71 () (or @t56 @t70)) % 0.41/0.61 (define @t72 () (or @t55 @t5)) % 0.41/0.61 (define @t73 () (or @t54 @t53 @t52 @t5)) % 0.41/0.61 (define @t74 () (= @t40 @t7)) % 0.41/0.61 (define @t75 () (= @t42 @t16)) % 0.41/0.61 (define @t76 () (= @t44 @t20)) % 0.41/0.61 (define @t77 () (or @t76 @t75 @t74 @t5)) % 0.41/0.61 (define @t78 () (or @t75 @t74 @t5)) % 0.41/0.61 (define @t79 () (@quantifiers_skolemize @t28 0)) % 0.41/0.61 (define @t80 () (tptp.big_h @t79)) % 0.41/0.61 (define @t81 () (tptp.big_g @t79)) % 0.41/0.61 (define @t82 () (tptp.big_f @t79)) % 0.41/0.61 (define @t83 () (forall @t45 (or (= @t44 @t82) (= @t42 @t81) (= @t40 @t80)))) % 0.41/0.61 (define @t84 () (@quantifiers_skolemize @t83 0)) % 0.41/0.61 (define @t85 () (tptp.big_h @t84)) % 0.41/0.61 (define @t86 () (tptp.big_g @t84)) % 0.41/0.61 (define @t87 () (tptp.big_f @t84)) % 0.41/0.61 (define @t88 () (forall @t45 (or (= @t44 @t87) (= @t42 @t86) (= @t40 @t85)))) % 0.41/0.61 (define @t89 () (@quantifiers_skolemize @t88 0)) % 0.41/0.61 (define @t90 () (tptp.big_h @t89)) % 0.41/0.61 (define @t91 () (not @t90)) % 0.41/0.61 (define @t92 () (tptp.big_g @t89)) % 0.41/0.61 (define @t93 () (tptp.big_f @t89)) % 0.41/0.61 (define @t94 () (not @t93)) % 0.41/0.61 (define @t95 () (or @t94 @t92)) % 0.41/0.61 (define @t96 () (and @t95 @t91)) % 0.41/0.61 (define @t97 () (= @t85 @t96)) % 0.41/0.61 (define @t98 () (and @t93 @t91)) % 0.41/0.61 (define @t99 () (= @t86 @t98)) % 0.41/0.61 (define @t100 () (not @t92)) % 0.41/0.61 (define @t101 () (and @t93 @t100)) % 0.41/0.61 (define @t102 () (= @t87 @t101)) % 0.41/0.61 (define @t103 () (or @t102 @t99 @t97)) % 0.41/0.61 (define @t104 () (not @t103)) % 0.41/0.61 (define @t105 () (not @t88)) % 0.41/0.61 (define @t106 () (or (= @t101 @t87) (= @t98 @t86) (= @t96 @t85))) % 0.41/0.61 (define @t107 () (not @t106)) % 0.41/0.61 (define @t108 () (@list true)) % 0.41/0.61 (define @t109 () (@list @t103)) % 0.41/0.61 (define @t110 () (not @t85)) % 0.41/0.61 (define @t111 () (not @t87)) % 0.41/0.61 (define @t112 () (or @t111 @t86)) % 0.41/0.61 (define @t113 () (and @t112 @t110)) % 0.41/0.61 (define @t114 () (= @t80 @t113)) % 0.41/0.61 (define @t115 () (and @t87 @t110)) % 0.41/0.61 (define @t116 () (not @t86)) % 0.41/0.61 (define @t117 () (and @t87 @t116)) % 0.41/0.61 (define @t118 () (or (= @t82 @t117) (= @t81 @t115) @t114)) % 0.41/0.61 (define @t119 () (not @t118)) % 0.41/0.61 (define @t120 () (not @t83)) % 0.41/0.61 (define @t121 () (or (= @t117 @t82) (= @t115 @t81) (= @t113 @t80))) % 0.41/0.61 (define @t122 () (not @t121)) % 0.41/0.61 (define @t123 () (@quantifiers_skolemize @t31 0)) % 0.41/0.61 (define @t124 () (tptp.big_h @t123)) % 0.41/0.61 (define @t125 () (tptp.big_g @t123)) % 0.41/0.61 (define @t126 () (tptp.big_f @t123)) % 0.41/0.61 (define @t127 () (forall @t45 (or (= @t44 @t126) (= @t42 @t125) (= @t40 @t124)))) % 0.41/0.61 (define @t128 () (@quantifiers_skolemize @t127 0)) % 0.41/0.61 (define @t129 () (tptp.big_h @t128)) % 0.41/0.61 (define @t130 () (not @t129)) % 0.41/0.61 (define @t131 () (tptp.big_f @t128)) % 0.41/0.61 (define @t132 () (and @t131 @t130)) % 0.41/0.61 (define @t133 () (tptp.big_g @t128)) % 0.41/0.61 (define @t134 () (and (or (not @t131) @t133) @t130)) % 0.41/0.61 (define @t135 () (= @t125 @t132)) % 0.41/0.61 (define @t136 () (and @t131 (not @t133))) % 0.41/0.61 (define @t137 () (or (= @t126 @t136) @t135 (= @t124 @t134))) % 0.41/0.61 (define @t138 () (not @t137)) % 0.41/0.61 (define @t139 () (not @t127)) % 0.41/0.61 (define @t140 () (or (= @t136 @t126) (= @t132 @t125) (= @t134 @t124))) % 0.41/0.61 (define @t141 () (not @t140)) % 0.41/0.61 (define @t142 () (not @t125)) % 0.41/0.61 (define @t143 () (@quantifiers_skolemize @t34 0)) % 0.41/0.61 (define @t144 () (tptp.big_h @t143)) % 0.41/0.61 (define @t145 () (tptp.big_g @t143)) % 0.41/0.61 (define @t146 () (tptp.big_f @t143)) % 0.41/0.61 (define @t147 () (forall @t45 (or (= @t44 @t146) (= @t42 @t145) (= @t40 @t144)))) % 0.41/0.61 (define @t148 () (@quantifiers_skolemize @t147 0)) % 0.41/0.61 (define @t149 () (tptp.big_g @t148)) % 0.41/0.61 (define @t150 () (not @t149)) % 0.41/0.61 (define @t151 () (tptp.big_f @t148)) % 0.41/0.61 (define @t152 () (and @t151 @t150)) % 0.41/0.61 (define @t153 () (not @t146)) % 0.41/0.61 (define @t154 () (not (tptp.big_h @t148))) % 0.41/0.61 (define @t155 () (and (or (not @t151) @t149) @t154)) % 0.41/0.61 (define @t156 () (and @t151 @t154)) % 0.41/0.61 (define @t157 () (= @t146 @t152)) % 0.41/0.61 (define @t158 () (or @t157 (= @t145 @t156) (= @t144 @t155))) % 0.41/0.61 (define @t159 () (not @t158)) % 0.41/0.61 (define @t160 () (not @t147)) % 0.41/0.61 (define @t161 () (or (= @t152 @t146) (= @t156 @t145) (= @t155 @t144))) % 0.41/0.61 (define @t162 () (not @t161)) % 0.41/0.61 (define @t163 () (not @t80)) % 0.41/0.61 (define @t164 () (@list true true)) % 0.41/0.61 (define @t165 () (not @t113)) % 0.41/0.61 (define @t166 () (@list false)) % 0.41/0.61 (define @t167 () (@list @t113)) % 0.41/0.61 (define @t168 () (not @t96)) % 0.41/0.61 (define @t169 () (@list @t96)) % 0.41/0.61 (define @t170 () (forall @t45 (or (= @t44 @t93) (= @t42 @t92) (= @t40 @t90)))) % 0.41/0.61 (define @t171 () (@quantifiers_skolemize @t170 0)) % 0.41/0.61 (define @t172 () (not (tptp.big_h @t171))) % 0.41/0.61 (define @t173 () (tptp.big_g @t171)) % 0.41/0.61 (define @t174 () (tptp.big_f @t171)) % 0.41/0.61 (define @t175 () (not @t174)) % 0.41/0.61 (define @t176 () (or @t175 @t173)) % 0.41/0.61 (define @t177 () (and @t176 @t172)) % 0.41/0.61 (define @t178 () (= @t90 @t177)) % 0.41/0.61 (define @t179 () (and @t174 @t172)) % 0.41/0.61 (define @t180 () (not @t173)) % 0.41/0.61 (define @t181 () (and @t174 @t180)) % 0.41/0.61 (define @t182 () (= @t93 @t181)) % 0.41/0.61 (define @t183 () (or @t182 (= @t92 @t179) @t178)) % 0.41/0.61 (define @t184 () (not @t183)) % 0.41/0.61 (define @t185 () (not @t170)) % 0.41/0.61 (define @t186 () (or (= @t181 @t93) (= @t179 @t92) (= @t177 @t90))) % 0.41/0.61 (define @t187 () (not @t186)) % 0.41/0.61 (define @t188 () (@list @t183)) % 0.41/0.61 (define @t189 () (not @t181)) % 0.41/0.61 (define @t190 () (not @t101)) % 0.41/0.61 (define @t191 () (@list true false)) % 0.41/0.61 (assume @p1 @t26) % 0.41/0.61 (assume @p2 true) % 0.41/0.61 (step @p3 :rule bool-double-not-elim :args ((and (forall @t46 (not (forall @t45 (or (= @t44 @t43) (= @t42 @t41) (= @t40 @t38))))) @t36))) % 0.41/0.61 (step @p4 :rule refl :args (@t36)) % 0.41/0.61 (step @p5 :rule eq-symm :args (@t38 @t40)) % 0.41/0.61 (step @p6 :rule eq-symm :args (@t41 @t42)) % 0.41/0.61 (step @p7 :rule eq-symm :args (@t43 @t44)) % 0.41/0.61 (step @p8 :rule nary_cong :premises (@p7 @p6 @p5) :args (@t47)) % 0.41/0.61 (step @p9 :rule cong :premises (@p8) :args (@t48)) % 0.41/0.61 (step @p10 :rule cong :premises (@p9) :args (@t49)) % 0.41/0.61 (step @p11 :rule cong :premises (@p10) :args (@t50)) % 0.41/0.61 (step @p12 :rule nary_cong :premises (@p11 @p4) :args ((and @t50 @t36))) % 0.41/0.61 (step @p13 :rule quant-unused-vars :args ((= @t51 @t36))) % 0.41/0.61 (step @p14 :rule alpha_equiv :args (@t58 (@list @t6) (@list @t37))) % 0.41/0.61 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t59)) % 0.41/0.61 (step @p16 :rule quant-miniscope-and :args ((= (forall @t24 (and @t57 @t36)) @t59))) % 0.41/0.61 (step @p17 :rule trans :premises (@p16 @p15)) % 0.41/0.61 (step @p18 :rule trans :premises (@p17 @p12)) % 0.41/0.61 (step @p19 :rule aci_norm :args ((= (or @t35 (or @t32 @t29)) @t36))) % 0.41/0.61 (step @p20 :rule bool-and-de-morgan :args (@t31 @t28 true)) % 0.41/0.61 (step @p21 :rule refl :args (@t35)) % 0.41/0.61 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t35 (not (and @t31 @t28))))) % 0.41/0.61 (step @p23 :rule bool-and-de-morgan :args (@t34 @t31 (and @t28))) % 0.41/0.61 (step @p24 :rule trans :premises (@p23 @p22)) % 0.41/0.61 (step @p25 :rule trans :premises (@p24 @p19)) % 0.41/0.61 (step @p26 :rule refl :args (@t57)) % 0.41/0.61 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((and @t57 (not @t60)))) % 0.41/0.61 (step @p28 :rule bool-or-de-morgan :args (@t56 @t60 false)) % 0.41/0.61 (step @p29 :rule trans :premises (@p28 @p27)) % 0.41/0.61 (step @p30 :rule cong :premises (@p29) :args (@t62)) % 0.41/0.61 (step @p31 :rule trans :premises (@p30 @p18)) % 0.41/0.61 (step @p32 :rule cong :premises (@p31) :args (@t63)) % 0.41/0.61 (step @p33 :rule exists-elim :args ((= (exists @t24 @t61) @t63))) % 0.41/0.61 (step @p34 :rule trans :premises (@p33 @p32)) % 0.41/0.61 (step @p35 :rule alpha_equiv :args (@t65 @t66 (@list @t27))) % 0.41/0.61 (step @p36 :rule alpha_equiv :args (@t67 @t66 (@list @t30))) % 0.41/0.61 (step @p37 :rule alpha_equiv :args (@t68 @t66 (@list @t33))) % 0.41/0.61 (step @p38 :rule nary_cong :premises (@p37 @p36 @p35) :args (@t69)) % 0.41/0.61 (step @p39 :rule quant-miniscope-and :args ((= @t70 @t69))) % 0.41/0.61 (step @p40 :rule trans :premises (@p39 @p38)) % 0.41/0.61 (step @p41 :rule refl :args (@t56)) % 0.41/0.61 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t71)) % 0.41/0.61 (step @p43 :rule quant-miniscope-or :args ((= (forall @t22 @t72) @t71))) % 0.41/0.61 (step @p44 :rule aci_norm :args ((= @t73 @t72))) % 0.41/0.61 (step @p45 :rule cong :premises (@p44) :args ((forall @t22 @t73))) % 0.41/0.61 (step @p46 :rule trans :premises (@p45 @p43)) % 0.41/0.61 (step @p47 :rule trans :premises (@p46 @p42)) % 0.41/0.61 (step @p48 :rule refl :args (@t5)) % 0.41/0.61 (step @p49 :rule eq-symm :args (@t40 @t7)) % 0.41/0.61 (step @p50 :rule eq-symm :args (@t42 @t16)) % 0.41/0.61 (step @p51 :rule eq-symm :args (@t44 @t20)) % 0.41/0.61 (step @p52 :rule nary_cong :premises (@p51 @p50 @p49 @p48) :args (@t77)) % 0.41/0.61 (step @p53 :rule cong :premises (@p52) :args ((forall @t22 @t77))) % 0.41/0.61 (step @p54 :rule trans :premises (@p53 @p47)) % 0.41/0.61 (step @p55 :rule aci_norm :args ((= (or @t76 @t78) @t77))) % 0.41/0.61 (step @p56 :rule aci_norm :args ((= (or @t75 (or @t74 @t5)) @t78))) % 0.41/0.61 (step @p57 :rule refl :args (@t5)) % 0.41/0.61 (step @p58 :rule refl :args (@t7)) % 0.41/0.61 (step @p59 :rule refl :args (@t39)) % 0.41/0.61 (step @p60 :rule bool-impl-elim :args (@t11 @t10)) % 0.41/0.61 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((and @t12 @t39))) % 0.41/0.61 (step @p62 :rule bool-implies-de-morgan :args (@t12 @t9)) % 0.41/0.61 (step @p63 :rule trans :premises (@p62 @p61)) % 0.41/0.61 (step @p64 :rule cong :premises (@p63 @p58) :args ((= (not @t13) @t7))) % 0.41/0.61 (step @p65 :rule bool-not-eq-elim1 :args (@t13 @t7)) % 0.41/0.61 (step @p66 :rule trans :premises (@p65 @p64)) % 0.41/0.61 (step @p67 :rule nary_cong :premises (@p66 @p57) :args ((or (not @t14) @t5))) % 0.41/0.61 (step @p68 :rule bool-impl-elim :args (@t14 @t5)) % 0.41/0.61 (step @p69 :rule trans :premises (@p68 @p67)) % 0.41/0.61 (step @p70 :rule refl :args (@t16)) % 0.41/0.61 (step @p71 :rule bool-implies-de-morgan :args (@t11 @t9)) % 0.41/0.61 (step @p72 :rule cong :premises (@p71 @p70) :args ((= (not @t17) @t16))) % 0.41/0.61 (step @p73 :rule bool-not-eq-elim1 :args (@t17 @t16)) % 0.41/0.61 (step @p74 :rule trans :premises (@p73 @p72)) % 0.41/0.61 (step @p75 :rule nary_cong :premises (@p74 @p69) :args ((or (not @t18) @t15))) % 0.41/0.61 (step @p76 :rule trans :premises (@p75 @p56)) % 0.41/0.61 (step @p77 :rule bool-impl-elim :args (@t18 @t15)) % 0.41/0.61 (step @p78 :rule trans :premises (@p77 @p76)) % 0.41/0.61 (step @p79 :rule refl :args (@t20)) % 0.41/0.61 (step @p80 :rule bool-implies-de-morgan :args (@t11 @t10)) % 0.41/0.61 (step @p81 :rule cong :premises (@p80 @p79) :args ((= (not @t12) @t20))) % 0.41/0.61 (step @p82 :rule 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chain_m_resolution :premises (@p288 @p286) :args (@t190 @t166 (@list @t92))) % 0.41/0.61 (step @p290 :rule cnf_and_pos :args (@t113 0)) % 0.41/0.61 (step @p291 :rule reordering :premises (@p290) :args ((or @t112 @t165))) % 0.41/0.61 (step @p292 :rule chain_m_resolution :premises (@p291 @p232) :args (@t112 @t166 @t167)) % 0.41/0.61 (step @p293 :rule bool-double-not-elim :args (@t90)) % 0.41/0.61 (step @p294 :rule refl :args (@t94)) % 0.41/0.61 (step @p295 :rule refl :args (@t98)) % 0.41/0.61 (step @p296 :rule nary_cong :premises (@p295 @p294 @p293) :args ((or @t98 @t94 (not @t91)))) % 0.41/0.61 (step @p297 :rule cnf_and_neg :args (@t98)) % 0.41/0.61 (step @p298 :rule eq_resolve :premises (@p297 @p296)) % 0.41/0.61 (step @p299 :rule reordering :premises (@p298) :args ((or @t90 @t98 @t94))) % 0.41/0.61 (step @p300 :rule chain_m_resolution :premises (@p299 @p271 @p283) :args (@t98 @t191 (@list @t90 @t93))) % 0.41/0.61 (step @p301 :rule cnf_or_neg :args (@t103 1)) % 0.41/0.61 (step @p302 :rule chain_m_resolution :premises (@p301 @p114) :args ((not @t99) @t108 @t109)) % 0.41/0.61 (step @p303 :rule cnf_equiv_neg2 :args (@t99)) % 0.41/0.61 (step @p304 :rule reordering :premises (@p303) :args ((or @t116 @t99 (not @t98)))) % 0.41/0.61 (step @p305 :rule chain_m_resolution :premises (@p304 @p302 @p300) :args (@t116 @t191 (@list @t99 @t98))) % 0.41/0.61 (step @p306 :rule cnf_or_pos :args (@t112)) % 0.41/0.61 (step @p307 :rule reordering :premises (@p306) :args ((or @t86 @t111 (not @t112)))) % 0.41/0.61 (step @p308 :rule chain_m_resolution :premises (@p307 @p305 @p292) :args (@t111 @t191 (@list @t86 @t112))) % 0.41/0.61 (step @p309 :rule cnf_equiv_neg1 :args (@t102)) % 0.41/0.61 (step @p310 :rule reordering :premises (@p309) :args ((or @t87 @t101 @t102))) % 0.41/0.61 (step @p311 false :rule chain_m_resolution :premises (@p310 @p308 @p289 @p116) :args (false (@list true true true) (@list @t87 @t101 @t102))) % 0.41/0.61 ) % 0.41/0.61 % SZS output end Proof % 0.41/0.61 % cvc5 exiting %------------------------------------------------------------------------------