%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN334+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 : n017.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 09:08:35 AM UTC 2026 % Result : Theorem 4.41s 4.66s % Output : Proof 4.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN334+1 : TPTP v9.2.1. Released v2.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.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 23:22:16 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 4.41/4.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 4.41/4.66 % SZS status Theorem % 4.41/4.66 % SZS output start Proof % 4.41/4.66 ( % 4.41/4.66 (declare-sort $$unsorted 0) % 4.41/4.66 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 4.41/4.66 (declare-const tptp.big_g (-> $$unsorted $$unsorted Bool)) % 4.41/4.66 (define @t1 () (@var "Z" $$unsorted)) % 4.41/4.66 (define @t2 () (tptp.big_g @t1 @t1)) % 4.41/4.66 (define @t3 () (@var "Y" $$unsorted)) % 4.41/4.66 (define @t4 () (@var "X" $$unsorted)) % 4.41/4.66 (define @t5 () (tptp.big_g @t4 @t3)) % 4.41/4.66 (define @t6 () (tptp.big_f @t1 @t1)) % 4.41/4.66 (define @t7 () (=> @t6 @t2)) % 4.41/4.66 (define @t8 () (tptp.big_f @t4 @t3)) % 4.41/4.66 (define @t9 () (= @t8 @t7)) % 4.41/4.66 (define @t10 () (=> @t9 (= @t5 @t2))) % 4.41/4.66 (define @t11 () (tptp.big_g @t3 @t1)) % 4.41/4.66 (define @t12 () (tptp.big_f @t4 @t1)) % 4.41/4.66 (define @t13 () (= @t12 @t11)) % 4.41/4.66 (define @t14 () (=> @t8 @t13)) % 4.41/4.66 (define @t15 () (=> @t14 @t10)) % 4.41/4.66 (define @t16 () (@list @t1)) % 4.41/4.66 (define @t17 () (forall @t16 @t15)) % 4.41/4.66 (define @t18 () (@list @t4 @t3)) % 4.41/4.66 (define @t19 () (exists @t18 @t17)) % 4.41/4.66 (define @t20 () (not @t19)) % 4.41/4.66 (define @t21 () (= @t2 @t5)) % 4.41/4.66 (define @t22 () (or (not @t6) @t2)) % 4.41/4.66 (define @t23 () (not @t8)) % 4.41/4.66 (define @t24 () (= @t23 @t22)) % 4.41/4.66 (define @t25 () (not @t12)) % 4.41/4.66 (define @t26 () (forall @t16 (or (and @t8 (= @t11 @t25)) @t24 @t21))) % 4.41/4.66 (define @t27 () (forall @t18 (not @t26))) % 4.41/4.66 (define @t28 () (and @t8 (= @t25 @t11))) % 4.41/4.66 (define @t29 () (or @t28 @t24 @t21)) % 4.41/4.66 (define @t30 () (=> @t9 @t21)) % 4.41/4.66 (define @t31 () (@const 0 $$unsorted)) % 4.41/4.66 (define @t32 () (tptp.big_g @t31 @t31)) % 4.41/4.66 (define @t33 () (= @t2 @t32)) % 4.41/4.66 (define @t34 () (tptp.big_f @t31 @t31)) % 4.41/4.66 (define @t35 () (not @t34)) % 4.41/4.66 (define @t36 () (not (tptp.big_f @t31 @t1))) % 4.41/4.66 (define @t37 () (and @t34 (= (tptp.big_g @t31 @t1) @t36))) % 4.41/4.66 (define @t38 () (forall @t16 (or @t37 (= @t22 @t35) @t33))) % 4.41/4.66 (define @t39 () (@quantifiers_skolemize @t38 0)) % 4.41/4.66 (define @t40 () (tptp.big_g @t39 @t39)) % 4.41/4.66 (define @t41 () (= @t2 @t40)) % 4.41/4.66 (define @t42 () (tptp.big_f @t39 @t39)) % 4.41/4.66 (define @t43 () (not @t42)) % 4.41/4.66 (define @t44 () (not (tptp.big_f @t39 @t1))) % 4.41/4.66 (define @t45 () (tptp.big_g @t39 @t1)) % 4.41/4.66 (define @t46 () (and @t42 (= @t45 @t44))) % 4.41/4.66 (define @t47 () (forall @t16 (or @t46 (= @t22 @t43) @t41))) % 4.41/4.66 (define @t48 () (@quantifiers_skolemize @t47 0)) % 4.41/4.66 (define @t49 () (tptp.big_g @t39 @t48)) % 4.41/4.66 (define @t50 () (= @t2 @t49)) % 4.41/4.66 (define @t51 () (tptp.big_f @t39 @t48)) % 4.41/4.66 (define @t52 () (not @t51)) % 4.41/4.66 (define @t53 () (tptp.big_g @t48 @t1)) % 4.41/4.66 (define @t54 () (forall @t16 (or (and @t51 (= @t44 @t53)) (= @t22 @t52) @t50))) % 4.41/4.66 (define @t55 () (@quantifiers_skolemize @t54 0)) % 4.41/4.66 (define @t56 () (tptp.big_g @t55 @t55)) % 4.41/4.66 (define @t57 () (= @t2 @t56)) % 4.41/4.66 (define @t58 () (tptp.big_f @t55 @t55)) % 4.41/4.66 (define @t59 () (not @t58)) % 4.41/4.66 (define @t60 () (and @t58 (= (tptp.big_g @t55 @t1) (not (tptp.big_f @t55 @t1))))) % 4.41/4.66 (define @t61 () (or @t60 (= @t59 @t22) @t57)) % 4.41/4.66 (define @t62 () (forall @t16 @t61)) % 4.41/4.66 (define @t63 () (not @t62)) % 4.41/4.66 (define @t64 () (forall @t16 (or @t60 (= @t22 @t59) @t57))) % 4.41/4.66 (define @t65 () (not @t64)) % 4.41/4.66 (define @t66 () (@list false)) % 4.41/4.66 (define @t67 () (@list @t27)) % 4.41/4.66 (define @t68 () (@quantifiers_skolemize @t64 0)) % 4.41/4.66 (define @t69 () (tptp.big_g @t68 @t68)) % 4.41/4.66 (define @t70 () (= @t56 @t69)) % 4.41/4.66 (define @t71 () (or (not (tptp.big_f @t68 @t68)) @t69)) % 4.41/4.66 (define @t72 () (= @t59 @t71)) % 4.41/4.66 (define @t73 () (and @t58 (= (tptp.big_g @t55 @t68) (not (tptp.big_f @t55 @t68))))) % 4.41/4.66 (define @t74 () (or @t73 @t72 @t70)) % 4.41/4.66 (define @t75 () (not @t74)) % 4.41/4.66 (define @t76 () (or @t73 (= @t71 @t59) (= @t69 @t56))) % 4.41/4.66 (define @t77 () (not @t76)) % 4.41/4.66 (define @t78 () (@list true)) % 4.41/4.66 (define @t79 () (@list @t74)) % 4.41/4.66 (define @t80 () (and @t51 (= @t53 @t44))) % 4.41/4.66 (define @t81 () (or @t80 (= @t52 @t22) @t50)) % 4.41/4.66 (define @t82 () (forall @t16 @t81)) % 4.41/4.66 (define @t83 () (not @t82)) % 4.41/4.66 (define @t84 () (not @t54)) % 4.41/4.66 (define @t85 () (= @t49 @t56)) % 4.41/4.66 (define @t86 () (or @t59 @t56)) % 4.41/4.66 (define @t87 () (= @t52 @t86)) % 4.41/4.66 (define @t88 () (and @t51 (= (not (tptp.big_f @t39 @t55)) (tptp.big_g @t48 @t55)))) % 4.41/4.66 (define @t89 () (or @t88 @t87 @t85)) % 4.41/4.66 (define @t90 () (not @t89)) % 4.41/4.66 (define @t91 () (or @t88 (= @t86 @t52) (= @t56 @t49))) % 4.41/4.66 (define @t92 () (not @t91)) % 4.41/4.66 (define @t93 () (@list @t89)) % 4.41/4.66 (define @t94 () (or @t46 (= @t43 @t22) @t41)) % 4.41/4.66 (define @t95 () (forall @t16 @t94)) % 4.41/4.66 (define @t96 () (not @t95)) % 4.41/4.66 (define @t97 () (not @t47)) % 4.41/4.66 (define @t98 () (tptp.big_g @t48 @t48)) % 4.41/4.66 (define @t99 () (or (not (tptp.big_f @t48 @t48)) @t98)) % 4.41/4.66 (define @t100 () (= @t49 @t52)) % 4.41/4.66 (define @t101 () (and @t42 @t100)) % 4.41/4.66 (define @t102 () (or @t101 (= @t43 @t99) (= @t40 @t98))) % 4.41/4.66 (define @t103 () (not @t102)) % 4.41/4.66 (define @t104 () (or @t101 (= @t99 @t43) (= @t98 @t40))) % 4.41/4.66 (define @t105 () (not @t104)) % 4.41/4.66 (define @t106 () (or @t37 (= @t35 @t22) @t33)) % 4.41/4.66 (define @t107 () (forall @t16 @t106)) % 4.41/4.66 (define @t108 () (not @t107)) % 4.41/4.66 (define @t109 () (not @t38)) % 4.41/4.66 (define @t110 () (or @t43 @t40)) % 4.41/4.66 (define @t111 () (= @t35 @t110)) % 4.41/4.66 (define @t112 () (tptp.big_f @t31 @t39)) % 4.41/4.66 (define @t113 () (not @t112)) % 4.41/4.66 (define @t114 () (tptp.big_g @t31 @t39)) % 4.41/4.66 (define @t115 () (= @t114 @t113)) % 4.41/4.66 (define @t116 () (and @t34 @t115)) % 4.41/4.66 (define @t117 () (or @t116 @t111 (= @t32 @t40))) % 4.41/4.66 (define @t118 () (not @t117)) % 4.41/4.66 (define @t119 () (or @t116 (= @t110 @t35) (= @t40 @t32))) % 4.41/4.66 (define @t120 () (not @t119)) % 4.41/4.66 (define @t121 () (@list @t117)) % 4.41/4.66 (define @t122 () (= @t2 @t114)) % 4.41/4.66 (define @t123 () (forall @t16 (or (and @t112 (= @t36 @t45)) (= @t22 @t113) @t122))) % 4.41/4.66 (define @t124 () (@quantifiers_skolemize @t123 0)) % 4.41/4.66 (define @t125 () (tptp.big_g @t124 @t124)) % 4.41/4.66 (define @t126 () (tptp.big_f @t124 @t124)) % 4.41/4.66 (define @t127 () (not @t126)) % 4.41/4.66 (define @t128 () (or @t127 @t125)) % 4.41/4.66 (define @t129 () (and @t112 (= @t45 @t36))) % 4.41/4.66 (define @t130 () (or @t129 (= @t113 @t22) @t122)) % 4.41/4.66 (define @t131 () (forall @t16 @t130)) % 4.41/4.66 (define @t132 () (not @t131)) % 4.41/4.66 (define @t133 () (not @t123)) % 4.41/4.66 (define @t134 () (= @t114 @t125)) % 4.41/4.66 (define @t135 () (= @t113 @t128)) % 4.41/4.66 (define @t136 () (and @t112 (= (not (tptp.big_f @t31 @t124)) (tptp.big_g @t39 @t124)))) % 4.41/4.66 (define @t137 () (or @t136 @t135 @t134)) % 4.41/4.66 (define @t138 () (not @t137)) % 4.41/4.66 (define @t139 () (or @t136 (= @t128 @t113) (= @t125 @t114))) % 4.41/4.66 (define @t140 () (not @t139)) % 4.41/4.66 (define @t141 () (@list @t137)) % 4.41/4.66 (define @t142 () (not @t114)) % 4.41/4.66 (define @t143 () (not @t113)) % 4.41/4.66 (define @t144 () (@list false true true true true)) % 4.41/4.66 (define @t145 () (not @t128)) % 4.41/4.66 (define @t146 () (= @t2 @t125)) % 4.41/4.66 (define @t147 () (and @t126 (= (tptp.big_g @t124 @t1) (not (tptp.big_f @t124 @t1))))) % 4.41/4.66 (define @t148 () (or @t147 (= @t127 @t22) @t146)) % 4.41/4.66 (define @t149 () (forall @t16 @t148)) % 4.41/4.66 (define @t150 () (not @t149)) % 4.41/4.66 (define @t151 () (forall @t16 (or @t147 (= @t22 @t127) @t146))) % 4.41/4.66 (define @t152 () (not @t151)) % 4.41/4.66 (define @t153 () (@quantifiers_skolemize @t151 0)) % 4.41/4.66 (define @t154 () (tptp.big_g @t153 @t153)) % 4.41/4.66 (define @t155 () (= @t125 @t154)) % 4.41/4.66 (define @t156 () (or (not (tptp.big_f @t153 @t153)) @t154)) % 4.41/4.66 (define @t157 () (= @t127 @t156)) % 4.41/4.66 (define @t158 () (and @t126 (= (tptp.big_g @t124 @t153) (not (tptp.big_f @t124 @t153))))) % 4.41/4.66 (define @t159 () (or @t158 @t157 @t155)) % 4.41/4.66 (define @t160 () (not @t159)) % 4.41/4.66 (define @t161 () (or @t158 (= @t156 @t127) (= @t154 @t125))) % 4.41/4.66 (define @t162 () (not @t161)) % 4.41/4.66 (define @t163 () (@list @t159)) % 4.41/4.66 (define @t164 () (not @t156)) % 4.41/4.66 (define @t165 () (@list true false)) % 4.41/4.66 (define @t166 () (not @t110)) % 4.41/4.66 (define @t167 () (@list true true)) % 4.41/4.66 (define @t168 () (not @t100)) % 4.41/4.66 (define @t169 () (@list false true)) % 4.41/4.66 (define @t170 () (not @t49)) % 4.41/4.66 (define @t171 () (not @t52)) % 4.41/4.66 (define @t172 () (not @t86)) % 4.41/4.66 (define @t173 () (not @t56)) % 4.41/4.66 (define @t174 () (not @t71)) % 4.41/4.66 (assume @p1 @t20) % 4.41/4.66 (assume @p2 true) % 4.41/4.66 (step @p3 :rule bool-double-not-elim :args (@t27)) % 4.41/4.66 (step @p4 :rule exists-elim :args ((= (exists @t18 @t26) (not @t27)))) % 4.41/4.66 (step @p5 :rule refl :args (@t21)) % 4.41/4.66 (step @p6 :rule refl :args (@t24)) % 4.41/4.66 (step @p7 :rule eq-symm :args (@t25 @t11)) % 4.41/4.66 (step @p8 :rule refl :args (@t8)) % 4.41/4.66 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t28)) % 4.41/4.66 (step @p10 :rule nary_cong :premises (@p9 @p6 @p5) :args (@t29)) % 4.41/4.66 (step @p11 :rule cong :premises (@p10) :args ((forall @t16 @t29))) % 4.41/4.66 (step @p12 :rule aci_norm :args ((= (or @t28 (or @t24 @t21)) @t29))) % 4.41/4.66 (step @p13 :rule refl :args (@t21)) % 4.41/4.66 (step @p14 :rule bool-impl-elim :args (@t6 @t2)) % 4.41/4.66 (step @p15 :rule refl :args (@t23)) % 4.41/4.66 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t23 @t7))) % 4.41/4.66 (step @p17 :rule bool-not-eq-elim1 :args (@t8 @t7)) % 4.41/4.66 (step @p18 :rule trans :premises (@p17 @p16)) % 4.41/4.66 (step @p19 :rule nary_cong :premises (@p18 @p13) :args ((or (not @t9) @t21))) % 4.41/4.66 (step @p20 :rule bool-impl-elim :args (@t9 @t21)) % 4.41/4.66 (step @p21 :rule trans :premises (@p20 @p19)) % 4.41/4.66 (step @p22 :rule bool-not-eq-elim1 :args (@t12 @t11)) % 4.41/4.66 (step @p23 :rule refl :args (@t8)) % 4.41/4.66 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((and @t8 (not @t13)))) % 4.41/4.66 (step @p25 :rule bool-implies-de-morgan :args (@t8 @t13)) % 4.41/4.66 (step @p26 :rule trans :premises (@p25 @p24)) % 4.41/4.66 (step @p27 :rule nary_cong :premises (@p26 @p21) :args ((or (not @t14) @t30))) % 4.41/4.66 (step @p28 :rule trans :premises (@p27 @p12)) % 4.41/4.66 (step @p29 :rule bool-impl-elim :args (@t14 @t30)) % 4.41/4.66 (step @p30 :rule trans :premises (@p29 @p28)) % 4.41/4.66 (step @p31 :rule cong :premises (@p30) :args ((forall @t16 (=> @t14 @t30)))) % 4.41/4.66 (step @p32 :rule trans :premises (@p31 @p11)) % 4.41/4.66 (step @p33 :rule eq-symm :args (@t5 @t2)) % 4.41/4.66 (step @p34 :rule refl :args (@t9)) % 4.41/4.66 (step @p35 :rule cong :premises (@p34 @p33) :args (@t10)) % 4.41/4.66 (step @p36 :rule refl :args (@t14)) % 4.41/4.66 (step @p37 :rule cong :premises (@p36 @p35) :args (@t15)) % 4.41/4.66 (step @p38 :rule cong :premises (@p37) :args (@t17)) % 4.41/4.66 (step @p39 :rule trans :premises (@p38 @p32)) % 4.41/4.66 (step @p40 :rule cong :premises (@p39) :args (@t19)) % 4.41/4.66 (step @p41 :rule trans :premises (@p40 @p4)) % 4.41/4.66 (step @p42 :rule cong :premises (@p41) :args (@t20)) % 4.41/4.66 (step @p43 :rule trans :premises (@p42 @p3)) % 4.41/4.66 (step @p44 :rule eq_resolve :premises (@p1 @p43)) % 4.41/4.66 (step @p45 :rule refl :args (@t57)) % 4.41/4.66 (step @p46 :rule eq-symm :args (@t59 @t22)) % 4.41/4.66 (step @p47 :rule refl :args (@t60)) % 4.41/4.66 (step @p48 :rule nary_cong :premises (@p47 @p46 @p45) :args (@t61)) % 4.41/4.66 (step @p49 :rule cong :premises (@p48) :args (@t62)) % 4.41/4.66 (step @p50 :rule cong :premises (@p49) :args (@t63)) % 4.41/4.66 (step @p51 :rule refl :args (@t27)) % 4.41/4.66 (step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t27 @t63))) % 4.41/4.66 (assume-push @p364 @t27) % 4.41/4.66 (step @p54 :rule instantiate :premises (@p44) :args ((@list @t55 @t55))) % 4.41/4.66 (step-pop @p365 :rule scope :premises (@p54)) % 4.41/4.66 (step @p55 :rule process_scope :premises (@p365) :args (@t63)) % 4.41/4.66 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 4.41/4.66 (step @p58 :rule implies_elim :premises (@p57)) % 4.41/4.66 (step @p59 :rule chain_m_resolution :premises (@p58 @p44) :args (@t65 @t66 @t67)) % 4.41/4.66 (step @p60 :rule refl :args (@t75)) % 4.41/4.66 (step @p61 :rule bool-double-not-elim :args (@t64)) % 4.41/4.66 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or (not @t65) @t75))) % 4.41/4.66 (step @p63 :rule eq-symm :args (@t69 @t56)) % 4.41/4.66 (step @p64 :rule eq-symm :args (@t71 @t59)) % 4.41/4.66 (step @p65 :rule 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:args (@t50)) % 4.41/4.66 (step @p81 :rule eq-symm :args (@t52 @t22)) % 4.41/4.66 (step @p82 :rule eq-symm :args (@t53 @t44)) % 4.41/4.66 (step @p83 :rule refl :args (@t51)) % 4.41/4.66 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t80)) % 4.41/4.66 (step @p85 :rule nary_cong :premises (@p84 @p81 @p80) :args (@t81)) % 4.41/4.66 (step @p86 :rule cong :premises (@p85) :args (@t82)) % 4.41/4.66 (step @p87 :rule cong :premises (@p86) :args (@t83)) % 4.41/4.66 (step @p88 :rule cong :premises (@p51 @p87) :args ((=> @t27 @t83))) % 4.41/4.66 (assume-push @p368 @t27) % 4.41/4.66 (step @p90 :rule instantiate :premises (@p44) :args ((@list @t39 @t48))) % 4.41/4.66 (step-pop @p369 :rule scope :premises (@p90)) % 4.41/4.66 (step @p91 :rule process_scope :premises (@p369) :args (@t83)) % 4.41/4.66 (step @p93 :rule eq_resolve :premises (@p91 @p88)) % 4.41/4.66 (step @p94 :rule implies_elim :premises (@p93)) % 4.41/4.66 (step @p95 :rule chain_m_resolution :premises (@p94 @p44) :args (@t84 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(step @p307 :rule bool-double-not-elim :args (@t42)) % 4.41/4.67 (step @p308 :rule refl :args (@t110)) % 4.41/4.67 (step @p309 :rule nary_cong :premises (@p308 @p307) :args ((or @t110 (not @t43)))) % 4.41/4.67 (step @p310 :rule cnf_or_neg :args (@t110 0)) % 4.41/4.67 (step @p311 :rule eq_resolve :premises (@p310 @p309)) % 4.41/4.67 (step @p312 :rule reordering :premises (@p311) :args ((or @t42 @t110))) % 4.41/4.67 (step @p313 :rule chain_m_resolution :premises (@p312 @p306) :args (@t42 @t78 (@list @t110))) % 4.41/4.67 (step @p314 :rule cnf_and_neg :args (@t101)) % 4.41/4.67 (step @p315 :rule reordering :premises (@p314) :args ((or @t43 @t101 @t168))) % 4.41/4.67 (step @p316 :rule chain_m_resolution :premises (@p315 @p313 @p149) :args (@t168 @t169 (@list @t42 @t101))) % 4.41/4.67 (step @p317 :rule bool-double-not-elim :args (@t51)) % 4.41/4.67 (step @p318 :rule refl :args (@t170)) % 4.41/4.67 (step @p319 :rule refl :args (@t100)) % 4.41/4.67 (step @p320 :rule nary_cong :premises (@p319 @p318 @p317) :args ((or @t100 @t170 @t171))) % 4.41/4.67 (step @p321 :rule cnf_equiv_neg2 :args (@t100)) % 4.41/4.67 (step @p322 :rule eq_resolve :premises (@p321 @p320)) % 4.41/4.67 (step @p323 :rule reordering :premises (@p322) :args ((or @t51 @t100 @t170))) % 4.41/4.67 (step @p324 :rule cnf_or_neg :args (@t89 1)) % 4.41/4.67 (step @p325 :rule chain_m_resolution :premises (@p324 @p113) :args ((not @t87) @t78 @t93)) % 4.41/4.67 (step @p326 :rule refl :args (@t172)) % 4.41/4.67 (step @p327 :rule refl :args (@t87)) % 4.41/4.67 (step @p328 :rule nary_cong :premises (@p327 @p317 @p326) :args ((or @t87 @t171 @t172))) % 4.41/4.67 (step @p329 :rule cnf_equiv_neg2 :args (@t87)) % 4.41/4.67 (step @p330 :rule eq_resolve :premises (@p329 @p328)) % 4.41/4.67 (step @p331 :rule reordering :premises (@p330) :args ((or @t51 @t87 @t172))) % 4.41/4.67 (step @p332 :rule cnf_equiv_neg1 :args (@t85)) % 4.41/4.67 (step @p333 :rule reordering :premises (@p332) :args ((or @t49 @t56 @t85))) % 4.41/4.67 (step @p334 :rule cnf_or_neg :args (@t86 1)) % 4.41/4.67 (step @p335 :rule chain_m_resolution :premises (@p334 @p333 @p115 @p331 @p325 @p323) :args ((or @t51 @t100) @t144 (@list @t56 @t85 @t86 @t87 @t49))) % 4.41/4.67 (step @p336 :rule chain_m_resolution :premises (@p335 @p316) :args (@t51 @t78 (@list @t100))) % 4.41/4.67 (step @p337 :rule cnf_equiv_neg1 :args (@t100)) % 4.41/4.67 (step @p338 :rule reordering :premises (@p337) :args ((or @t49 @t52 @t100))) % 4.41/4.67 (step @p339 :rule chain_m_resolution :premises (@p338 @p336 @p316) :args (@t49 @t169 (@list @t51 @t100))) % 4.41/4.67 (step @p340 :rule cnf_equiv_neg2 :args (@t85)) % 4.41/4.67 (step @p341 :rule reordering :premises (@p340) :args ((or @t170 @t85 @t173))) % 4.41/4.67 (step @p342 :rule chain_m_resolution :premises (@p341 @p339 @p115) :args (@t173 @t169 (@list @t49 @t85))) % 4.41/4.67 (step @p343 :rule cnf_equiv_neg1 :args (@t70)) % 4.41/4.67 (step @p344 :rule reordering :premises (@p343) :args ((or @t56 @t69 @t70))) % 4.41/4.67 (step @p345 :rule chain_m_resolution :premises (@p344 @p342 @p79) :args (@t69 @t167 (@list @t56 @t70))) % 4.41/4.67 (step @p346 :rule cnf_or_neg :args (@t74 1)) % 4.41/4.67 (step @p347 :rule chain_m_resolution :premises (@p346 @p77) :args ((not @t72) @t78 @t79)) % 4.41/4.67 (step @p348 :rule cnf_equiv_neg1 :args (@t87)) % 4.41/4.67 (step @p349 :rule reordering :premises (@p348) :args ((or @t52 @t86 @t87))) % 4.41/4.67 (step @p350 :rule chain_m_resolution :premises (@p349 @p336 @p325) :args (@t86 @t169 (@list @t51 @t87))) % 4.41/4.67 (step @p351 :rule cnf_or_pos :args (@t86)) % 4.41/4.67 (step @p352 :rule reordering :premises (@p351) :args ((or @t59 @t56 @t172))) % 4.41/4.67 (step @p353 :rule chain_m_resolution :premises (@p352 @p342 @p350) :args (@t59 @t165 (@list @t56 @t86))) % 4.41/4.67 (step @p354 :rule refl :args (@t174)) % 4.41/4.67 (step @p355 :rule bool-double-not-elim :args (@t58)) % 4.41/4.67 (step @p356 :rule refl :args (@t72)) % 4.41/4.67 (step @p357 :rule nary_cong :premises (@p356 @p355 @p354) :args ((or @t72 (not @t59) @t174))) % 4.41/4.67 (step @p358 :rule cnf_equiv_neg2 :args (@t72)) % 4.41/4.67 (step @p359 :rule eq_resolve :premises (@p358 @p357)) % 4.41/4.67 (step @p360 :rule reordering :premises (@p359) :args ((or @t58 @t72 @t174))) % 4.41/4.67 (step @p361 :rule chain_m_resolution :premises (@p360 @p353 @p347) :args (@t174 @t167 (@list @t58 @t72))) % 4.41/4.67 (step @p362 :rule cnf_or_neg :args (@t71 1)) % 4.41/4.67 (step @p363 false :rule chain_m_resolution :premises (@p362 @p361 @p345) :args (false @t165 (@list @t71 @t69))) % 4.41/4.67 ) % 4.41/4.67 % SZS output end Proof % 4.41/4.67 % cvc5 exiting %------------------------------------------------------------------------------