%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE009+1 : 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 : n002.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 08:28:03 AM UTC 2026 % Result : Theorem 0.63s 0.87s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE009+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n002.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 05:09:48 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.63/0.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.63/0.87 % SZS status Theorem % 0.63/0.87 % SZS output start Proof % 0.63/0.87 ( % 0.63/0.87 (declare-sort $$unsorted 0) % 0.63/0.87 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 0.63/0.87 (declare-const tptp.test (-> $$unsorted Bool)) % 0.63/0.87 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 0.63/0.87 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.87 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.63/0.87 (declare-const tptp.zero $$unsorted) % 0.63/0.87 (declare-const tptp.one $$unsorted) % 0.63/0.87 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.87 (define @t1 () (@var "A" $$unsorted)) % 0.63/0.87 (define @t2 () (@var "B" $$unsorted)) % 0.63/0.87 (define @t3 () (tptp.addition @t1 @t2)) % 0.63/0.87 (define @t4 () (@list @t1 @t2)) % 0.63/0.87 (define @t5 () (@var "C" $$unsorted)) % 0.63/0.87 (define @t6 () (tptp.addition @t2 @t5)) % 0.63/0.87 (define @t7 () (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.63/0.87 (define @t8 () (@list @t1)) % 0.63/0.87 (define @t9 () (tptp.multiplication @t1 @t2)) % 0.63/0.87 (define @t10 () (tptp.multiplication @t2 @t5)) % 0.63/0.87 (define @t11 () (@list @t1 @t2 @t5)) % 0.63/0.87 (define @t12 () (tptp.multiplication @t1 tptp.one)) % 0.63/0.87 (define @t13 () (forall @t8 (= @t12 @t1))) % 0.63/0.87 (define @t14 () (tptp.multiplication @t1 @t5)) % 0.63/0.87 (define @t15 () (forall @t11 (= (tptp.multiplication @t1 @t6) (tptp.addition @t9 @t14)))) % 0.63/0.87 (define @t16 () (@var "X0" $$unsorted)) % 0.63/0.87 (define @t17 () (@var "X1" $$unsorted)) % 0.63/0.87 (define @t18 () (tptp.complement @t17 @t16)) % 0.63/0.87 (define @t19 () (@list @t17)) % 0.63/0.87 (define @t20 () (exists @t19 @t18)) % 0.63/0.87 (define @t21 () (tptp.test @t16)) % 0.63/0.87 (define @t22 () (= @t21 @t20)) % 0.63/0.87 (define @t23 () (@list @t16)) % 0.63/0.87 (define @t24 () (forall @t23 @t22)) % 0.63/0.87 (define @t25 () (tptp.addition @t16 @t17)) % 0.63/0.87 (define @t26 () (tptp.multiplication @t17 @t16)) % 0.63/0.87 (define @t27 () (tptp.multiplication @t16 @t17)) % 0.63/0.87 (define @t28 () (and (= @t27 tptp.zero) (= @t26 tptp.zero) (= @t25 tptp.one))) % 0.63/0.87 (define @t29 () (= @t18 @t28)) % 0.63/0.87 (define @t30 () (@list @t16 @t17)) % 0.63/0.87 (define @t31 () (forall @t30 @t29)) % 0.63/0.87 (define @t32 () (tptp.complement @t16 @t17)) % 0.63/0.87 (define @t33 () (tptp.c @t16)) % 0.63/0.87 (define @t34 () (= (= @t33 @t17) @t32)) % 0.63/0.87 (define @t35 () (=> @t21 @t34)) % 0.63/0.87 (define @t36 () (forall @t30 @t35)) % 0.63/0.87 (define @t37 () (not @t21)) % 0.63/0.87 (define @t38 () (tptp.c @t17)) % 0.63/0.87 (define @t39 () (= tptp.one (tptp.addition (tptp.addition (tptp.addition @t27 (tptp.multiplication @t16 @t38)) (tptp.multiplication @t33 @t17)) (tptp.multiplication @t33 @t38)))) % 0.63/0.87 (define @t40 () (tptp.test @t17)) % 0.63/0.87 (define @t41 () (and @t40 @t21)) % 0.63/0.87 (define @t42 () (forall @t30 (=> @t41 @t39))) % 0.63/0.87 (define @t43 () (not @t42)) % 0.63/0.87 (define @t44 () (not @t40)) % 0.63/0.87 (define @t45 () (or @t44 @t37 @t39)) % 0.63/0.87 (define @t46 () (forall @t30 @t45)) % 0.63/0.87 (define @t47 () (@quantifiers_skolemize @t46 1)) % 0.63/0.87 (define @t48 () (tptp.c @t47)) % 0.63/0.87 (define @t49 () (@quantifiers_skolemize @t46 0)) % 0.63/0.87 (define @t50 () (tptp.c @t49)) % 0.63/0.87 (define @t51 () (tptp.multiplication @t50 @t48)) % 0.63/0.87 (define @t52 () (tptp.multiplication @t50 @t47)) % 0.63/0.87 (define @t53 () (tptp.addition (tptp.multiplication @t49 @t47) (tptp.multiplication @t49 @t48))) % 0.63/0.87 (define @t54 () (tptp.addition (tptp.addition @t53 @t52) @t51)) % 0.63/0.87 (define @t55 () (= tptp.one @t54)) % 0.63/0.87 (define @t56 () (tptp.test @t49)) % 0.63/0.87 (define @t57 () (not @t56)) % 0.63/0.87 (define @t58 () (tptp.test @t47)) % 0.63/0.87 (define @t59 () (not @t58)) % 0.63/0.87 (define @t60 () (or @t59 @t57 @t55)) % 0.63/0.87 (define @t61 () (not @t55)) % 0.63/0.87 (define @t62 () (@list true)) % 0.63/0.87 (define @t63 () (@list @t60)) % 0.63/0.87 (define @t64 () (tptp.addition @t52 @t51)) % 0.63/0.87 (define @t65 () (tptp.addition @t53 @t64)) % 0.63/0.87 (define @t66 () (= @t65 @t54)) % 0.63/0.87 (define @t67 () (@list @t51 @t52 @t53)) % 0.63/0.87 (define @t68 () (= @t54 @t65)) % 0.63/0.87 (define @t69 () (@list false)) % 0.63/0.87 (define @t70 () (tptp.addition @t47 @t48)) % 0.63/0.87 (define @t71 () (tptp.multiplication @t49 @t70)) % 0.63/0.87 (define @t72 () (= @t71 @t53)) % 0.63/0.87 (define @t73 () (@list @t49 @t47 @t48)) % 0.63/0.87 (define @t74 () (= @t53 @t71)) % 0.63/0.87 (define @t75 () (@list @t15)) % 0.63/0.87 (define @t76 () (tptp.multiplication @t50 @t70)) % 0.63/0.87 (define @t77 () (= @t76 @t64)) % 0.63/0.87 (define @t78 () (@list @t50 @t47 @t48)) % 0.63/0.87 (define @t79 () (= @t64 @t76)) % 0.63/0.87 (define @t80 () (forall @t19 (not (tptp.complement @t17 @t49)))) % 0.63/0.87 (define @t81 () (@quantifiers_skolemize @t80 0)) % 0.63/0.87 (define @t82 () (@list @t49 @t81)) % 0.63/0.87 (define @t83 () (not @t80)) % 0.63/0.87 (define @t84 () (= @t56 @t83)) % 0.63/0.87 (define @t85 () (@list false false)) % 0.63/0.87 (define @t86 () (tptp.complement @t81 @t49)) % 0.63/0.87 (define @t87 () (not @t86)) % 0.63/0.87 (define @t88 () (not @t87)) % 0.63/0.87 (define @t89 () (= tptp.one (tptp.addition @t49 @t81))) % 0.63/0.87 (define @t90 () (= tptp.zero (tptp.multiplication @t81 @t49))) % 0.63/0.87 (define @t91 () (= tptp.zero (tptp.multiplication @t49 @t81))) % 0.63/0.87 (define @t92 () (and @t91 @t90 @t89)) % 0.63/0.87 (define @t93 () (= @t86 @t92)) % 0.63/0.87 (define @t94 () (not @t92)) % 0.63/0.87 (define @t95 () (@list @t92)) % 0.63/0.87 (define @t96 () (forall @t19 (not (tptp.complement @t17 @t47)))) % 0.63/0.87 (define @t97 () (@quantifiers_skolemize @t96 0)) % 0.63/0.87 (define @t98 () (@list @t47 @t97)) % 0.63/0.87 (define @t99 () (not @t96)) % 0.63/0.87 (define @t100 () (= @t58 @t99)) % 0.63/0.87 (define @t101 () (tptp.complement @t97 @t47)) % 0.63/0.87 (define @t102 () (not @t101)) % 0.63/0.87 (define @t103 () (not @t102)) % 0.63/0.87 (define @t104 () (tptp.addition @t47 @t97)) % 0.63/0.87 (define @t105 () (= tptp.one @t104)) % 0.63/0.87 (define @t106 () (= tptp.zero (tptp.multiplication @t97 @t47))) % 0.63/0.87 (define @t107 () (= tptp.zero (tptp.multiplication @t47 @t97))) % 0.63/0.87 (define @t108 () (and @t107 @t106 @t105)) % 0.63/0.87 (define @t109 () (= @t101 @t108)) % 0.63/0.87 (define @t110 () (not @t108)) % 0.63/0.87 (define @t111 () (@list @t108)) % 0.63/0.87 (define @t112 () (= @t17 @t33)) % 0.63/0.87 (define @t113 () (= @t32 @t112)) % 0.63/0.87 (define @t114 () (tptp.complement @t49 @t81)) % 0.63/0.87 (define @t115 () (= @t114 (= @t81 @t50))) % 0.63/0.87 (define @t116 () (or @t57 @t115)) % 0.63/0.87 (define @t117 () (forall @t30 (or @t37 @t113))) % 0.63/0.87 (define @t118 () (= @t50 @t81)) % 0.63/0.87 (define @t119 () (= @t114 @t118)) % 0.63/0.87 (define @t120 () (or @t57 @t119)) % 0.63/0.87 (define @t121 () (@list @t117)) % 0.63/0.87 (define @t122 () (= tptp.one (tptp.addition @t81 @t49))) % 0.63/0.87 (define @t123 () (and @t90 @t91 @t122)) % 0.63/0.87 (define @t124 () (@list false false false)) % 0.63/0.87 (define @t125 () (= @t114 @t123)) % 0.63/0.87 (define @t126 () (tptp.complement @t47 @t97)) % 0.63/0.87 (define @t127 () (= @t126 (= @t97 @t48))) % 0.63/0.87 (define @t128 () (or @t59 @t127)) % 0.63/0.87 (define @t129 () (= @t48 @t97)) % 0.63/0.87 (define @t130 () (= @t126 @t129)) % 0.63/0.87 (define @t131 () (or @t59 @t130)) % 0.63/0.87 (define @t132 () (= tptp.one (tptp.addition @t97 @t47))) % 0.63/0.87 (define @t133 () (and @t106 @t107 @t132)) % 0.63/0.87 (define @t134 () (= @t126 @t133)) % 0.63/0.87 (define @t135 () (tptp.addition @t50 @t49)) % 0.63/0.87 (define @t136 () (tptp.multiplication @t135 tptp.one)) % 0.63/0.87 (define @t137 () (= @t135 @t136)) % 0.63/0.87 (define @t138 () (not @t137)) % 0.63/0.87 (define @t139 () (not @t129)) % 0.63/0.87 (define @t140 () (not @t118)) % 0.63/0.87 (define @t141 () (tptp.addition @t49 @t50)) % 0.63/0.87 (define @t142 () (= @t141 @t135)) % 0.63/0.87 (define @t143 () (not @t142)) % 0.63/0.87 (define @t144 () (tptp.addition @t71 @t76)) % 0.63/0.87 (define @t145 () (= (tptp.multiplication @t141 @t70) @t144)) % 0.63/0.87 (define @t146 () (not @t145)) % 0.63/0.87 (define @t147 () (not @t105)) % 0.63/0.87 (define @t148 () (not @t89)) % 0.63/0.87 (define @t149 () (not @t79)) % 0.63/0.87 (define @t150 () (not @t74)) % 0.63/0.87 (define @t151 () (not @t68)) % 0.63/0.87 (define @t152 () (tptp.multiplication @t70 @t141)) % 0.63/0.87 (define @t153 () (and @t138 @t137)) % 0.63/0.87 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.63/0.87 (assume @p2 @t7) % 0.63/0.87 (assume @p3 (forall @t8 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.63/0.87 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 0.63/0.87 (assume @p5 (forall @t11 (= (tptp.multiplication @t1 @t10) (tptp.multiplication @t9 @t5)))) % 0.63/0.87 (assume @p6 @t13) % 0.63/0.87 (assume @p7 (forall @t8 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.63/0.87 (assume @p8 @t15) % 0.63/0.87 (assume @p9 (forall @t11 (= (tptp.multiplication @t3 @t5) (tptp.addition @t14 @t10)))) % 0.63/0.87 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.63/0.87 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.63/0.87 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.63/0.87 (assume @p13 @t24) % 0.63/0.87 (assume @p14 @t31) % 0.63/0.87 (assume @p15 @t36) % 0.63/0.87 (assume @p16 (forall @t23 (=> @t37 (= @t33 tptp.zero)))) % 0.63/0.87 (assume @p17 @t43) % 0.63/0.87 (assume @p18 true) % 0.63/0.87 (step @p19 :rule aci_norm :args ((= (or (or @t44 @t37) @t39) @t45))) % 0.63/0.87 (step @p20 :rule refl :args (@t39)) % 0.63/0.87 (step @p21 :rule bool-and-de-morgan :args (@t40 @t21 true)) % 0.63/0.87 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or (not @t41) @t39))) % 0.63/0.87 (step @p23 :rule trans :premises (@p22 @p19)) % 0.63/0.87 (step @p24 :rule bool-impl-elim :args (@t41 @t39)) % 0.63/0.87 (step @p25 :rule trans :premises (@p24 @p23)) % 0.63/0.87 (step @p26 :rule cong :premises (@p25) :args (@t42)) % 0.63/0.87 (step @p27 :rule cong :premises (@p26) :args (@t43)) % 0.63/0.87 (step @p28 :rule eq_resolve :premises (@p17 @p27)) % 0.63/0.87 (step @p29 :rule skolemize :premises (@p28)) % 0.63/0.87 (step @p30 :rule cnf_or_neg :args (@t60 2)) % 0.63/0.87 (step @p31 :rule chain_m_resolution :premises (@p30 @p29) :args (@t61 @t62 @t63)) % 0.63/0.87 (step @p32 :rule eq-symm :args (@t65 @t54)) % 0.63/0.87 (step @p33 :rule refl :args (@t7)) % 0.63/0.87 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t7 @t66))) % 0.63/0.87 (assume-push @p296 @t7) % 0.63/0.87 (step @p36 :rule instantiate :premises (@p2) :args (@t67)) % 0.63/0.87 (step-pop @p297 :rule scope :premises (@p36)) % 0.63/0.87 (step @p37 :rule process_scope :premises (@p297) :args (@t66)) % 0.63/0.87 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 0.63/0.87 (step @p40 :rule implies_elim :premises (@p39)) % 0.63/0.87 (step @p41 :rule chain_m_resolution :premises (@p40 @p2) :args (@t68 @t69 (@list @t7))) % 0.63/0.87 (step @p42 :rule eq-symm :args (@t71 @t53)) % 0.63/0.87 (step @p43 :rule refl :args (@t15)) % 0.63/0.87 (step @p44 :rule cong :premises (@p43 @p42) :args ((=> @t15 @t72))) % 0.63/0.87 (assume-push @p298 @t15) % 0.63/0.87 (step @p46 :rule instantiate :premises (@p8) :args (@t73)) % 0.63/0.87 (step-pop @p299 :rule scope :premises (@p46)) % 0.63/0.87 (step @p47 :rule process_scope :premises (@p299) :args (@t72)) % 0.63/0.87 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 0.63/0.87 (step @p50 :rule implies_elim :premises (@p49)) % 0.63/0.87 (step @p51 :rule chain_m_resolution :premises (@p50 @p8) :args (@t74 @t69 @t75)) % 0.63/0.87 (step @p52 :rule eq-symm :args (@t76 @t64)) % 0.63/0.87 (step @p53 :rule cong :premises (@p43 @p52) :args ((=> @t15 @t77))) % 0.63/0.87 (assume-push @p300 @t15) % 0.63/0.87 (step @p55 :rule instantiate :premises (@p8) :args (@t78)) % 0.63/0.87 (step-pop @p301 :rule scope :premises (@p55)) % 0.63/0.87 (step @p56 :rule process_scope :premises (@p301) :args (@t77)) % 0.63/0.87 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 0.63/0.87 (step @p59 :rule implies_elim :premises (@p58)) % 0.63/0.87 (step @p60 :rule chain_m_resolution :premises (@p59 @p8) :args (@t79 @t69 @t75)) % 0.63/0.87 (step @p61 :rule eq-symm :args (@t25 tptp.one)) % 0.63/0.87 (step @p62 :rule eq-symm :args (@t26 tptp.zero)) % 0.63/0.87 (step @p63 :rule eq-symm :args (@t27 tptp.zero)) % 0.63/0.87 (step @p64 :rule nary_cong :premises (@p63 @p62 @p61) :args (@t28)) % 0.63/0.87 (step @p65 :rule refl :args (@t18)) % 0.63/0.87 (step @p66 :rule cong :premises (@p65 @p64) :args (@t29)) % 0.63/0.87 (step @p67 :rule cong :premises (@p66) :args (@t31)) % 0.63/0.87 (step @p68 :rule eq_resolve :premises (@p14 @p67)) % 0.63/0.87 (step @p69 :rule instantiate :premises (@p68) :args (@t82)) % 0.63/0.87 (step @p70 :rule exists-elim :args ((= @t20 (not (forall @t19 (not @t18)))))) % 0.63/0.87 (step @p71 :rule refl :args (@t21)) % 0.63/0.87 (step @p72 :rule cong :premises (@p71 @p70) :args (@t22)) % 0.63/0.87 (step @p73 :rule cong :premises (@p72) :args (@t24)) % 0.63/0.87 (step @p74 :rule eq_resolve :premises (@p13 @p73)) % 0.63/0.87 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t49))) % 0.63/0.87 (step @p76 :rule bool-double-not-elim :args (@t56)) % 0.63/0.87 (step @p77 :rule refl :args (@t60)) % 0.63/0.87 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t60 (not @t57)))) % 0.63/0.87 (step @p79 :rule cnf_or_neg :args (@t60 1)) % 0.63/0.87 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.63/0.87 (step @p81 :rule reordering :premises (@p80) :args ((or @t56 @t60))) % 0.63/0.87 (step @p82 :rule chain_m_resolution :premises (@p81 @p29) :args (@t56 @t62 @t63)) % 0.63/0.87 (step @p83 :rule cnf_equiv_pos1 :args (@t84)) % 0.63/0.87 (step @p84 :rule reordering :premises (@p83) :args ((or @t57 @t83 (not @t84)))) % 0.63/0.87 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p75) :args (@t83 @t85 (@list @t56 @t84))) % 0.63/0.87 (step @p86 :rule refl :args (@t86)) % 0.63/0.87 (step @p87 :rule bool-double-not-elim :args (@t80)) % 0.63/0.87 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or (not @t83) @t86))) % 0.63/0.87 (step @p89 :rule bool-double-not-elim :args (@t86)) % 0.63/0.87 (step @p90 :rule refl :args (@t83)) % 0.63/0.87 (step @p91 :rule cong :premises (@p90 @p89) :args ((=> @t83 @t88))) % 0.63/0.87 (assume-push @p302 @t83) % 0.63/0.87 (step @p93 :rule skolemize :premises (@p85)) % 0.63/0.87 (step-pop @p303 :rule scope :premises (@p93)) % 0.63/0.87 (step @p94 :rule process_scope :premises (@p303) :args (@t88)) % 0.63/0.87 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 0.63/0.87 (step @p97 :rule implies_elim :premises (@p96)) % 0.63/0.87 (step @p98 :rule eq_resolve :premises (@p97 @p88)) % 0.63/0.87 (step @p99 :rule chain_m_resolution :premises (@p98 @p85) :args (@t86 @t62 (@list @t80))) % 0.63/0.87 (step @p100 :rule cnf_equiv_pos1 :args (@t93)) % 0.63/0.87 (step @p101 :rule 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:rule process_scope :premises (@p309) :args (@t128)) % 0.63/0.87 (step @p195 :rule eq_resolve :premises (@p193 @p190)) % 0.63/0.87 (step @p196 :rule implies_elim :premises (@p195)) % 0.63/0.87 (step @p197 :rule chain_m_resolution :premises (@p196 @p149) :args (@t131 @t69 @t121)) % 0.63/0.87 (step @p198 :rule cnf_or_pos :args (@t131)) % 0.63/0.87 (step @p199 :rule reordering :premises (@p198) :args ((or @t59 @t130 (not @t131)))) % 0.63/0.87 (step @p200 :rule chain_m_resolution :premises (@p199 @p113 @p197) :args (@t130 @t85 (@list @t58 @t131))) % 0.63/0.87 (step @p201 :rule instantiate :premises (@p68) :args ((@list @t97 @t47))) % 0.63/0.87 (step @p202 :rule instantiate :premises (@p1) :args (@t98)) % 0.63/0.87 (step @p203 :rule trans :premises (@p136 @p202)) % 0.63/0.87 (step @p204 :rule cnf_and_pos :args (@t108 1)) % 0.63/0.87 (step @p205 :rule reordering :premises (@p204) :args ((or @t106 @t110))) % 0.63/0.87 (step @p206 :rule chain_m_resolution :premises (@p205 @p133) :args (@t106 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false :rule eq_resolve :premises (@p260 @p237)) % 0.63/0.87 (step-pop @p312 :rule scope :premises (@p261)) % 0.63/0.87 (step-pop @p313 :rule scope :premises (@p312)) % 0.63/0.87 (step @p262 :rule process_scope :premises (@p313) :args (false)) % 0.63/0.87 (assume-push @p314 @t61) % 0.63/0.87 (assume-push @p315 @t68) % 0.63/0.87 (assume-push @p316 @t74) % 0.63/0.87 (assume-push @p317 @t79) % 0.63/0.87 (assume-push @p318 @t89) % 0.63/0.87 (assume-push @p319 @t105) % 0.63/0.87 (assume-push @p320 @t145) % 0.63/0.87 (assume-push @p321 @t142) % 0.63/0.87 (assume-push @p322 @t118) % 0.63/0.87 (assume-push @p323 @t129) % 0.63/0.87 (assume-push @p324 @t137) % 0.63/0.87 (step @p239 :rule false_intro :premises (@p31)) % 0.63/0.87 (step @p36 :rule instantiate :premises (@p2) :args (@t67)) % 0.63/0.87 (step @p55 :rule instantiate :premises (@p8) :args (@t78)) % 0.63/0.87 (step @p46 :rule instantiate :premises (@p8) :args (@t73)) % 0.63/0.87 (step @p240 :rule cong :premises (@p46 @p55) :args (@t144)) 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0.63/0.87 (step @p291 :rule implies_elim :premises (@p279)) % 0.63/0.87 (step @p292 :rule resolution :premises (@p291 @p262) :args (true @t153)) % 0.63/0.87 (step @p293 :rule not_and :premises (@p292)) % 0.63/0.87 (step @p294 :rule eq_resolve :premises (@p293 @p234)) % 0.63/0.87 (step @p295 false :rule chain_m_resolution :premises (@p294 @p222 @p218 @p184 @p138 @p137 @p136 @p105 @p60 @p51 @p41 @p31) :args (false (@list false false false false false false false false false false true) (@list @t137 @t129 @t118 @t142 @t145 @t105 @t89 @t79 @t74 @t68 @t55))) % 0.63/0.87 ) % 0.63/0.87 % SZS output end Proof % 0.63/0.87 % cvc5 exiting %------------------------------------------------------------------------------