%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE027+2 : 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 : n004.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 08:28:08 AM UTC 2026 % Result : Theorem 25.23s 25.45s % Output : Proof 25.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE027+2 : 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 % 0.16/0.33 % Computer : n004.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 05:10:37 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 25.23/25.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 25.23/25.45 --- Run --no-e-matching --full-saturate-quant at 6... % 25.23/25.45 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 25.23/25.45 % SZS status Theorem % 25.23/25.45 % SZS output start Proof % 25.23/25.45 ( % 25.23/25.45 (declare-sort $$unsorted 0) % 25.23/25.45 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 25.23/25.45 (declare-const tptp.test (-> $$unsorted Bool)) % 25.23/25.45 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 25.23/25.45 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 25.23/25.45 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 25.23/25.45 (declare-const tptp.zero $$unsorted) % 25.23/25.45 (declare-const tptp.one $$unsorted) % 25.23/25.45 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 25.23/25.45 (define @t1 () (@var "A" $$unsorted)) % 25.23/25.45 (define @t2 () (@var "B" $$unsorted)) % 25.23/25.45 (define @t3 () (tptp.addition @t1 @t2)) % 25.23/25.45 (define @t4 () (@list @t1 @t2)) % 25.23/25.45 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 25.23/25.45 (define @t6 () (@var "C" $$unsorted)) % 25.23/25.45 (define @t7 () (tptp.addition @t2 @t6)) % 25.23/25.45 (define @t8 () (tptp.addition @t1 tptp.zero)) % 25.23/25.45 (define @t9 () (@list @t1)) % 25.23/25.45 (define @t10 () (forall @t9 (= @t8 @t1))) % 25.23/25.45 (define @t11 () (tptp.addition @t1 @t1)) % 25.23/25.45 (define @t12 () (forall @t9 (= @t11 @t1))) % 25.23/25.45 (define @t13 () (tptp.multiplication @t1 @t2)) % 25.23/25.45 (define @t14 () (tptp.multiplication @t2 @t6)) % 25.23/25.45 (define @t15 () (@list @t1 @t2 @t6)) % 25.23/25.45 (define @t16 () (tptp.multiplication @t1 tptp.one)) % 25.23/25.45 (define @t17 () (forall @t9 (= @t16 @t1))) % 25.23/25.45 (define @t18 () (tptp.multiplication tptp.one @t1)) % 25.23/25.45 (define @t19 () (forall @t9 (= @t18 @t1))) % 25.23/25.45 (define @t20 () (tptp.multiplication @t1 @t6)) % 25.23/25.45 (define @t21 () (tptp.multiplication @t1 tptp.zero)) % 25.23/25.45 (define @t22 () (forall @t9 (= @t21 tptp.zero))) % 25.23/25.45 (define @t23 () (tptp.multiplication tptp.zero @t1)) % 25.23/25.45 (define @t24 () (forall @t9 (= @t23 tptp.zero))) % 25.23/25.45 (define @t25 () (tptp.leq @t1 @t2)) % 25.23/25.45 (define @t26 () (= @t25 (= @t3 @t2))) % 25.23/25.45 (define @t27 () (forall @t4 @t26)) % 25.23/25.45 (define @t28 () (@var "X0" $$unsorted)) % 25.23/25.45 (define @t29 () (@var "X1" $$unsorted)) % 25.23/25.45 (define @t30 () (tptp.complement @t29 @t28)) % 25.23/25.45 (define @t31 () (tptp.test @t28)) % 25.23/25.45 (define @t32 () (@list @t28)) % 25.23/25.45 (define @t33 () (tptp.addition @t28 @t29)) % 25.23/25.45 (define @t34 () (tptp.multiplication @t29 @t28)) % 25.23/25.45 (define @t35 () (tptp.multiplication @t28 @t29)) % 25.23/25.45 (define @t36 () (and (= @t35 tptp.zero) (= @t34 tptp.zero) (= @t33 tptp.one))) % 25.23/25.45 (define @t37 () (= @t30 @t36)) % 25.23/25.45 (define @t38 () (@list @t28 @t29)) % 25.23/25.45 (define @t39 () (forall @t38 @t37)) % 25.23/25.45 (define @t40 () (tptp.complement @t28 @t29)) % 25.23/25.45 (define @t41 () (tptp.c @t28)) % 25.23/25.45 (define @t42 () (= (= @t41 @t29) @t40)) % 25.23/25.45 (define @t43 () (=> @t31 @t42)) % 25.23/25.45 (define @t44 () (forall @t38 @t43)) % 25.23/25.45 (define @t45 () (not @t31)) % 25.23/25.45 (define @t46 () (@var "X2" $$unsorted)) % 25.23/25.45 (define @t47 () (@var "X3" $$unsorted)) % 25.23/25.45 (define @t48 () (tptp.c @t47)) % 25.23/25.45 (define @t49 () (tptp.multiplication @t48 @t46)) % 25.23/25.45 (define @t50 () (tptp.multiplication @t47 @t28)) % 25.23/25.45 (define @t51 () (tptp.addition (tptp.multiplication @t47 (tptp.addition @t50 (tptp.multiplication @t48 @t29))) @t49)) % 25.23/25.45 (define @t52 () (tptp.addition @t50 @t49)) % 25.23/25.45 (define @t53 () (and (tptp.leq @t51 @t52) (tptp.leq @t52 @t51))) % 25.23/25.45 (define @t54 () (@var "X4" $$unsorted)) % 25.23/25.45 (define @t55 () (tptp.test @t54)) % 25.23/25.45 (define @t56 () (tptp.test @t47)) % 25.23/25.45 (define @t57 () (and @t56 @t55)) % 25.23/25.45 (define @t58 () (@list @t28 @t29 @t46 @t47 @t54)) % 25.23/25.45 (define @t59 () (forall @t58 (=> @t57 @t53))) % 25.23/25.45 (define @t60 () (not @t59)) % 25.23/25.45 (define @t61 () (not @t56)) % 25.23/25.45 (define @t62 () (or @t61 @t53)) % 25.23/25.45 (define @t63 () (forall (@list @t28 @t29 @t46 @t47) @t62)) % 25.23/25.45 (define @t64 () (@quantifiers_skolemize @t63 3)) % 25.23/25.45 (define @t65 () (@list @t64)) % 25.23/25.45 (define @t66 () (@quantifiers_skolemize @t63 1)) % 25.23/25.45 (define @t67 () (@quantifiers_skolemize @t63 2)) % 25.23/25.45 (define @t68 () (tptp.c @t64)) % 25.23/25.45 (define @t69 () (tptp.addition @t64 @t68)) % 25.23/25.45 (define @t70 () (tptp.addition @t68 @t64)) % 25.23/25.45 (define @t71 () (= @t69 @t70)) % 25.23/25.45 (define @t72 () (@list @t64 @t68)) % 25.23/25.45 (define @t73 () (= @t70 @t69)) % 25.23/25.45 (define @t74 () (@list false)) % 25.23/25.45 (define @t75 () (= @t29 @t41)) % 25.23/25.45 (define @t76 () (= @t40 @t75)) % 25.23/25.45 (define @t77 () (tptp.complement @t64 @t68)) % 25.23/25.45 (define @t78 () (= @t68 @t68)) % 25.23/25.45 (define @t79 () (tptp.test @t64)) % 25.23/25.45 (define @t80 () (not @t79)) % 25.23/25.45 (define @t81 () (or @t80 (= @t77 @t78))) % 25.23/25.45 (define @t82 () (forall @t38 (or @t45 @t76))) % 25.23/25.45 (define @t83 () (or @t80 @t77)) % 25.23/25.45 (define @t84 () (not @t55)) % 25.23/25.45 (define @t85 () (or @t62 @t84)) % 25.23/25.45 (define @t86 () (or @t61 @t84 @t53)) % 25.23/25.45 (define @t87 () (tptp.multiplication @t68 @t67)) % 25.23/25.45 (define @t88 () (tptp.multiplication @t68 @t66)) % 25.23/25.45 (define @t89 () (@quantifiers_skolemize @t63 0)) % 25.23/25.45 (define @t90 () (tptp.multiplication @t64 @t89)) % 25.23/25.45 (define @t91 () (tptp.multiplication @t64 (tptp.addition @t90 @t88))) % 25.23/25.45 (define @t92 () (tptp.addition @t91 @t87)) % 25.23/25.45 (define @t93 () (tptp.addition @t90 @t87)) % 25.23/25.45 (define @t94 () (tptp.leq @t93 @t92)) % 25.23/25.45 (define @t95 () (tptp.leq @t92 @t93)) % 25.23/25.45 (define @t96 () (and @t95 @t94)) % 25.23/25.45 (define @t97 () (or @t80 @t96)) % 25.23/25.45 (define @t98 () (@list true)) % 25.23/25.45 (define @t99 () (@list @t97)) % 25.23/25.45 (define @t100 () (@list false false)) % 25.23/25.45 (define @t101 () (= tptp.one @t70)) % 25.23/25.45 (define @t102 () (tptp.multiplication @t64 @t68)) % 25.23/25.45 (define @t103 () (= tptp.zero @t102)) % 25.23/25.45 (define @t104 () (and (= tptp.zero (tptp.multiplication @t68 @t64)) @t103 @t101)) % 25.23/25.45 (define @t105 () (= @t77 @t104)) % 25.23/25.45 (define @t106 () (not @t104)) % 25.23/25.45 (define @t107 () (@list @t104)) % 25.23/25.45 (define @t108 () (tptp.multiplication @t64 @t90)) % 25.23/25.45 (define @t109 () (tptp.multiplication tptp.zero @t66)) % 25.23/25.45 (define @t110 () (tptp.multiplication @t102 @t67)) % 25.23/25.45 (define @t111 () (tptp.multiplication @t64 @t87)) % 25.23/25.45 (define @t112 () (tptp.addition @t108 tptp.zero)) % 25.23/25.45 (define @t113 () (tptp.multiplication @t70 @t90)) % 25.23/25.45 (define @t114 () (tptp.addition tptp.zero tptp.one)) % 25.23/25.45 (define @t115 () (tptp.multiplication @t64 @t69)) % 25.23/25.45 (define @t116 () (tptp.multiplication @t64 @t64)) % 25.23/25.45 (define @t117 () (tptp.multiplication @t64 tptp.zero)) % 25.23/25.45 (define @t118 () (tptp.addition @t116 @t117)) % 25.23/25.45 (define @t119 () (tptp.multiplication @t116 @t89)) % 25.23/25.45 (define @t120 () (= @t93 (tptp.addition @t92 @t93))) % 25.23/25.45 (define @t121 () (= @t95 @t120)) % 25.23/25.45 (define @t122 () (tptp.addition tptp.one tptp.zero)) % 25.23/25.45 (define @t123 () (= @t114 @t122)) % 25.23/25.45 (define @t124 () (= @t64 (tptp.multiplication @t64 tptp.one))) % 25.23/25.45 (define @t125 () (= tptp.zero @t117)) % 25.23/25.45 (define @t126 () (= tptp.zero @t109)) % 25.23/25.45 (define @t127 () (= tptp.zero (tptp.multiplication tptp.zero @t67))) % 25.23/25.45 (define @t128 () (= tptp.one @t122)) % 25.23/25.45 (define @t129 () (tptp.addition @t64 tptp.zero)) % 25.23/25.45 (define @t130 () (= @t64 @t129)) % 25.23/25.45 (define @t131 () (= @t115 (tptp.addition @t116 @t102))) % 25.23/25.45 (define @t132 () (tptp.multiplication @t64 @t88)) % 25.23/25.45 (define @t133 () (= @t91 (tptp.addition @t108 @t132))) % 25.23/25.45 (define @t134 () (= (tptp.multiplication @t64 @t129) @t118)) % 25.23/25.45 (define @t135 () (= @t111 @t110)) % 25.23/25.45 (define @t136 () (= @t132 (tptp.multiplication @t102 @t66))) % 25.23/25.45 (define @t137 () (= @t108 @t112)) % 25.23/25.45 (define @t138 () (= @t108 @t119)) % 25.23/25.45 (define @t139 () (and @t95 @t123 @t124 @t125 @t126 @t127 @t128 @t130 @t73 @t131 @t103 @t101 @t133 @t134 @t135 @t136 @t137 @t138)) % 25.23/25.45 (assume @p1 @t5) % 25.23/25.45 (assume @p2 (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 25.23/25.45 (assume @p3 @t10) % 25.23/25.45 (assume @p4 @t12) % 25.23/25.45 (assume @p5 (forall @t15 (= (tptp.multiplication @t1 @t14) (tptp.multiplication @t13 @t6)))) % 25.23/25.45 (assume @p6 @t17) % 25.23/25.45 (assume @p7 @t19) % 25.23/25.45 (assume @p8 (forall @t15 (= (tptp.multiplication @t1 @t7) (tptp.addition @t13 @t20)))) % 25.23/25.45 (assume @p9 (forall @t15 (= (tptp.multiplication @t3 @t6) (tptp.addition @t20 @t14)))) % 25.23/25.45 (assume @p10 @t22) % 25.23/25.45 (assume @p11 @t24) % 25.23/25.45 (assume @p12 @t27) % 25.23/25.45 (assume @p13 (forall @t32 (= @t31 (exists (@list @t29) @t30)))) % 25.23/25.45 (assume @p14 @t39) % 25.23/25.45 (assume @p15 @t44) % 25.23/25.45 (assume @p16 (forall @t32 (=> @t45 (= @t41 tptp.zero)))) % 25.23/25.45 (assume @p17 @t60) % 25.23/25.45 (assume @p18 true) % 25.23/25.45 (step @p19 :rule instantiate :premises (@p1) :args ((@list tptp.zero tptp.one))) % 25.23/25.45 (step @p20 :rule eq-symm :args (@t16 @t1)) % 25.23/25.45 (step @p21 :rule cong :premises (@p20) :args (@t17)) % 25.23/25.45 (step @p22 :rule eq_resolve :premises (@p6 @p21)) % 25.23/25.45 (step @p23 :rule instantiate :premises (@p22) :args (@t65)) % 25.23/25.45 (step @p24 :rule eq-symm :args (@t21 tptp.zero)) % 25.23/25.45 (step @p25 :rule cong :premises (@p24) :args (@t22)) % 25.23/25.45 (step @p26 :rule eq_resolve :premises (@p10 @p25)) % 25.23/25.45 (step @p27 :rule instantiate :premises (@p26) :args (@t65)) % 25.23/25.45 (step @p28 :rule eq-symm :args (@t23 tptp.zero)) % 25.23/25.45 (step @p29 :rule cong :premises (@p28) :args (@t24)) % 25.23/25.45 (step @p30 :rule eq_resolve :premises (@p11 @p29)) % 25.23/25.45 (step @p31 :rule instantiate :premises (@p30) :args ((@list @t66))) % 25.23/25.45 (step @p32 :rule instantiate :premises (@p30) :args ((@list @t67))) % 25.23/25.45 (step @p33 :rule eq-symm :args (@t8 @t1)) % 25.23/25.45 (step @p34 :rule cong :premises (@p33) :args (@t10)) % 25.23/25.45 (step @p35 :rule eq_resolve :premises (@p3 @p34)) % 25.23/25.45 (step @p36 :rule instantiate :premises (@p35) :args ((@list tptp.one))) % 25.23/25.45 (step @p37 :rule instantiate :premises (@p35) :args (@t65)) % 25.23/25.45 (step @p38 :rule eq-symm :args (@t69 @t70)) % 25.23/25.45 (step @p39 :rule refl :args (@t5)) % 25.23/25.45 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t5 @t71))) % 25.23/25.45 (assume-push @p277 @t5) % 25.23/25.45 (step @p42 :rule instantiate :premises (@p1) :args (@t72)) % 25.23/25.45 (step-pop @p278 :rule scope :premises (@p42)) % 25.23/25.45 (step @p43 :rule process_scope :premises (@p278) :args (@t71)) % 25.23/25.45 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 25.23/25.45 (step @p46 :rule implies_elim :premises (@p45)) % 25.23/25.45 (step @p47 :rule chain_m_resolution :premises (@p46 @p1) :args (@t73 @t74 (@list @t5))) % 25.23/25.45 (step @p48 :rule instantiate :premises (@p8) :args ((@list @t64 @t64 @t68))) % 25.23/25.45 (step @p49 :rule eq-symm :args (@t33 tptp.one)) % 25.23/25.45 (step @p50 :rule eq-symm :args (@t34 tptp.zero)) % 25.23/25.45 (step @p51 :rule eq-symm :args (@t35 tptp.zero)) % 25.23/25.45 (step @p52 :rule nary_cong :premises (@p51 @p50 @p49) :args (@t36)) % 25.23/25.45 (step @p53 :rule refl :args (@t30)) % 25.23/25.45 (step @p54 :rule cong :premises (@p53 @p52) :args (@t37)) % 25.23/25.45 (step @p55 :rule cong :premises (@p54) :args (@t39)) % 25.23/25.45 (step @p56 :rule eq_resolve :premises (@p14 @p55)) % 25.23/25.45 (step @p57 :rule instantiate :premises (@p56) :args ((@list @t68 @t64))) % 25.23/25.45 (step @p58 :rule bool-impl-elim :args (@t31 @t76)) % 25.23/25.45 (step @p59 :rule cong :premises (@p58) :args ((forall @t38 (=> @t31 @t76)))) % 25.23/25.45 (step @p60 :rule eq-symm :args (@t75 @t40)) % 25.23/25.45 (step @p61 :rule refl :args (@t40)) % 25.23/25.45 (step @p62 :rule eq-symm :args (@t41 @t29)) % 25.23/25.45 (step @p63 :rule cong :premises (@p62 @p61) :args (@t42)) % 25.23/25.45 (step @p64 :rule trans :premises (@p63 @p60)) % 25.23/25.45 (step @p65 :rule refl :args (@t31)) % 25.23/25.45 (step @p66 :rule cong :premises (@p65 @p64) :args (@t43)) % 25.23/25.45 (step @p67 :rule cong :premises (@p66) :args (@t44)) % 25.23/25.45 (step @p68 :rule trans :premises (@p67 @p59)) % 25.23/25.45 (step @p69 :rule eq_resolve :premises (@p15 @p68)) % 25.23/25.45 (step @p70 :rule bool-eq-true :args (@t77)) % 25.23/25.45 (step @p71 :rule eq-symm :args (true @t77)) % 25.23/25.45 (step @p72 :rule trans :premises (@p71 @p70)) % 25.23/25.45 (step @p73 :rule refl :args (@t77)) % 25.23/25.45 (step @p74 :rule eq-refl :args (@t68)) % 25.23/25.45 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t78 @t77))) % 25.23/25.45 (step @p76 :rule trans :premises (@p75 @p72)) % 25.23/25.45 (step @p77 :rule eq-symm :args (@t77 @t78)) % 25.23/25.45 (step @p78 :rule trans :premises (@p77 @p76)) % 25.23/25.45 (step @p79 :rule refl :args (@t80)) % 25.23/25.45 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t81)) % 25.23/25.45 (step @p81 :rule refl :args (@t82)) % 25.23/25.45 (step @p82 :rule cong :premises (@p81 @p80) :args ((=> @t82 @t81))) % 25.23/25.45 (assume-push @p279 @t82) % 25.23/25.45 (step @p84 :rule instantiate :premises (@p69) :args (@t72)) % 25.23/25.45 (step-pop @p280 :rule scope :premises (@p84)) % 25.23/25.45 (step @p85 :rule process_scope :premises (@p280) :args (@t81)) % 25.23/25.45 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 25.23/25.45 (step @p88 :rule implies_elim :premises (@p87)) % 25.23/25.45 (step @p89 :rule chain_m_resolution :premises (@p88 @p69) :args (@t83 @t74 (@list @t82))) % 25.23/25.45 (step @p90 :rule quant-miniscope-or :args ((= (forall @t58 @t85) (or @t63 (forall (@list @t54) @t84))))) % 25.23/25.45 (step @p91 :rule aci_norm :args ((= @t86 @t85))) % 25.23/25.45 (step @p92 :rule cong :premises (@p91) :args ((forall @t58 @t86))) % 25.23/25.45 (step @p93 :rule trans :premises (@p92 @p90)) % 25.23/25.45 (step @p94 :rule aci_norm :args ((= (or (or @t61 @t84) @t53) @t86))) % 25.23/25.45 (step @p95 :rule refl :args (@t53)) % 25.23/25.45 (step @p96 :rule bool-and-de-morgan :args (@t56 @t55 true)) % 25.23/25.45 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t57) @t53))) % 25.23/25.45 (step @p98 :rule trans :premises (@p97 @p94)) % 25.23/25.45 (step @p99 :rule bool-impl-elim :args (@t57 @t53)) % 25.23/25.45 (step @p100 :rule trans :premises (@p99 @p98)) % 25.23/25.45 (step @p101 :rule cong :premises (@p100) :args (@t59)) % 25.23/25.45 (step @p102 :rule trans :premises (@p101 @p93)) % 25.23/25.45 (step @p103 :rule cong :premises (@p102) :args (@t60)) % 25.23/25.45 (step @p104 :rule eq_resolve :premises (@p17 @p103)) % 25.23/25.45 (step @p105 :rule not_or_elim :premises (@p104) :args (0)) % 25.23/25.45 (step @p106 :rule skolemize :premises (@p105)) % 25.23/25.45 (step @p107 :rule bool-double-not-elim :args (@t79)) % 25.23/25.45 (step @p108 :rule refl :args (@t97)) % 25.23/25.45 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t97 (not @t80)))) % 25.23/25.45 (step @p110 :rule cnf_or_neg :args (@t97 0)) % 25.23/25.45 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 25.23/25.45 (step @p112 :rule reordering :premises (@p111) :args ((or @t79 @t97))) % 25.23/25.45 (step @p113 :rule chain_m_resolution :premises (@p112 @p106) :args (@t79 @t98 @t99)) % 25.23/25.45 (step @p114 :rule cnf_or_pos :args (@t83)) % 25.23/25.45 (step @p115 :rule reordering :premises (@p114) :args ((or @t80 @t77 (not @t83)))) % 25.23/25.45 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p89) :args (@t77 @t100 (@list @t79 @t83))) % 25.23/25.45 (step @p117 :rule cnf_equiv_pos1 :args (@t105)) % 25.23/25.45 (step @p118 :rule reordering :premises (@p117) :args ((or (not @t77) @t104 (not @t105)))) % 25.23/25.45 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p57) :args (@t104 @t100 (@list @t77 @t105))) % 25.23/25.45 (step @p120 :rule cnf_and_pos :args (@t104 1)) % 25.23/25.45 (step @p121 :rule reordering :premises (@p120) :args ((or @t103 @t106))) % 25.23/25.45 (step @p122 :rule chain_m_resolution :premises (@p121 @p119) :args (@t103 @t74 @t107)) % 25.23/25.45 (step @p123 :rule cnf_and_pos :args (@t104 2)) % 25.23/25.45 (step @p124 :rule reordering :premises (@p123) :args ((or @t101 @t106))) % 25.23/25.45 (step @p125 :rule chain_m_resolution :premises (@p124 @p119) :args (@t101 @t74 @t107)) % 25.23/25.45 (step @p126 :rule instantiate :premises (@p8) :args ((@list @t64 @t90 @t88))) % 25.23/25.45 (step @p127 :rule instantiate :premises (@p8) :args ((@list @t64 @t64 tptp.zero))) % 25.23/25.45 (step @p128 :rule instantiate :premises (@p5) :args ((@list @t64 @t68 @t67))) % 25.23/25.45 (step @p129 :rule instantiate :premises (@p5) :args ((@list @t64 @t68 @t66))) % 25.23/25.45 (step @p130 :rule instantiate :premises (@p35) :args ((@list @t108))) % 25.23/25.45 (step @p131 :rule instantiate :premises (@p5) :args ((@list @t64 @t64 @t89))) % 25.23/25.45 (step @p132 :rule eq-symm :args (@t3 @t2)) % 25.23/25.45 (step @p133 :rule refl :args (@t25)) % 25.23/25.45 (step @p134 :rule cong :premises (@p133 @p132) :args (@t26)) % 25.23/25.45 (step @p135 :rule cong :premises (@p134) :args (@t27)) % 25.23/25.45 (step @p136 :rule eq_resolve :premises (@p12 @p135)) % 25.23/25.45 (step @p137 :rule instantiate :premises (@p136) :args ((@list @t92 @t93))) % 25.23/25.45 (step @p138 :rule instantiate :premises (@p1) :args ((@list @t90 @t87))) % 25.23/25.45 (step @p139 :rule symm :premises (@p138)) % 25.23/25.45 (step @p140 :rule refl :args (@t92)) % 25.23/25.45 (step @p141 :rule cong :premises (@p140 @p139) :args ((tptp.addition @t92 (tptp.addition @t87 @t90)))) % 25.23/25.45 (step @p142 :rule instantiate :premises (@p2) :args ((@list @t90 @t87 @t92))) % 25.23/25.45 (step @p143 :rule symm :premises (@p142)) % 25.23/25.45 (step @p144 :rule refl :args (@t90)) % 25.23/25.45 (step @p145 :rule instantiate :premises (@p2) :args ((@list @t87 @t87 @t91))) % 25.23/25.45 (step @p146 :rule eq-symm :args (@t11 @t1)) % 25.23/25.45 (step @p147 :rule cong :premises (@p146) :args (@t12)) % 25.23/25.45 (step @p148 :rule eq_resolve :premises (@p4 @p147)) % 25.23/25.45 (step @p149 :rule instantiate :premises (@p148) :args ((@list @t87))) % 25.23/25.45 (step @p150 :rule refl :args (@t91)) % 25.23/25.45 (step @p151 :rule cong :premises (@p150 @p149) :args (@t92)) % 25.23/25.45 (step @p152 :rule trans :premises (@p151 @p145)) % 25.23/25.45 (step @p153 :rule cong :premises (@p152 @p144) :args ((tptp.addition @t92 @t90))) % 25.23/25.45 (step @p154 :rule instantiate :premises (@p1) :args ((@list @t92 @t90))) % 25.23/25.45 (step @p155 :rule symm :premises (@p154)) % 25.23/25.45 (step @p156 :rule instantiate :premises (@p2) :args ((@list @t87 @t91 @t90))) % 25.23/25.45 (step @p157 :rule symm :premises (@p156)) % 25.23/25.45 (step @p158 :rule refl :args (@t87)) % 25.23/25.45 (step @p159 :rule instantiate :premises (@p1) :args ((@list @t90 @t91))) % 25.23/25.45 (step @p160 :rule symm :premises (@p159)) % 25.23/25.45 (step @p161 :rule symm :premises (@p126)) % 25.23/25.45 (step @p162 :rule symm :premises (@p129)) % 25.23/25.45 (step @p163 :rule refl :args (@t66)) % 25.23/25.45 (step @p164 :rule cong :premises (@p122 @p163) :args (@t109)) % 25.23/25.45 (step @p165 :rule symm :premises (@p32)) % 25.23/25.45 (step @p166 :rule refl :args (@t67)) % 25.23/25.45 (step @p167 :rule symm :premises (@p122)) % 25.23/25.45 (step @p168 :rule cong :premises (@p167 @p166) :args (@t110)) % 25.23/25.45 (step @p169 :rule trans :premises (@p128 @p168 @p165 @p31 @p164 @p162)) % 25.23/25.45 (step @p170 :rule refl :args (@t108)) % 25.23/25.45 (step @p171 :rule cong :premises (@p170 @p169) :args ((tptp.addition @t108 @t111))) % 25.23/25.45 (step @p172 :rule symm :premises (@p128)) % 25.23/25.45 (step @p173 :rule symm :premises (@p168)) % 25.23/25.45 (step @p174 :rule trans :premises (@p32 @p173 @p172)) % 25.23/25.45 (step @p175 :rule cong :premises (@p170 @p174) :args (@t112)) % 25.23/25.45 (step @p176 :rule trans :premises (@p130 @p175 @p171 @p161)) % 25.23/25.45 (step @p177 :rule eq-symm :args (@t18 @t1)) % 25.23/25.45 (step @p178 :rule cong :premises (@p177) :args (@t19)) % 25.23/25.45 (step @p179 :rule eq_resolve :premises (@p7 @p178)) % 25.23/25.45 (step @p180 :rule instantiate :premises (@p179) :args ((@list @t90))) % 25.23/25.45 (step @p181 :rule symm :premises (@p180)) % 25.23/25.45 (step @p182 :rule symm :premises (@p125)) % 25.23/25.45 (step @p183 :rule cong :premises (@p182 @p144) :args (@t113)) % 25.23/25.45 (step @p184 :rule trans :premises (@p183 @p181)) % 25.23/25.45 (step @p185 :rule cong :premises (@p184 @p176) :args ((tptp.addition @t113 @t108))) % 25.23/25.45 (step @p186 :rule symm :premises (@p184)) % 25.23/25.45 (step @p187 :rule cong :premises (@p186 @p170) :args ((tptp.addition @t90 @t108))) % 25.23/25.45 (step @p188 :rule trans :premises (@p187 @p185 @p159)) % 25.23/25.45 (step @p189 :rule symm :premises (@p187)) % 25.23/25.45 (step @p190 :rule symm :premises (@p185)) % 25.23/25.45 (step @p191 :rule trans :premises (@p175 @p171 @p161)) % 25.23/25.45 (step @p192 :rule cong :premises (@p191 @p144) :args ((tptp.addition @t112 @t90))) % 25.23/25.45 (step @p193 :rule refl :args (@t89)) % 25.23/25.45 (step @p194 :rule symm :premises (@p23)) % 25.23/25.45 (step @p195 :rule symm :premises (@p36)) % 25.23/25.45 (step @p196 :rule trans :premises (@p19 @p195)) % 25.23/25.45 (step @p197 :rule refl :args (@t64)) % 25.23/25.45 (step @p198 :rule cong :premises (@p197 @p196) :args ((tptp.multiplication @t64 @t114))) % 25.23/25.45 (step @p199 :rule symm :premises (@p19)) % 25.23/25.45 (step @p42 :rule instantiate :premises (@p1) :args (@t72)) % 25.23/25.45 (step @p200 :rule trans :premises (@p42 @p182 @p36 @p199)) % 25.23/25.45 (step @p201 :rule cong :premises (@p197 @p200) :args (@t115)) % 25.23/25.45 (step @p202 :rule symm :premises (@p48)) % 25.23/25.45 (step @p203 :rule symm :premises (@p27)) % 25.23/25.45 (step @p204 :rule trans :premises (@p203 @p122)) % 25.23/25.45 (step @p205 :rule refl :args (@t116)) % 25.23/25.45 (step @p206 :rule cong :premises (@p205 @p204) :args (@t118)) % 25.23/25.45 (step @p207 :rule cong :premises (@p197 @p37) :args (@t116)) % 25.23/25.45 (step @p208 :rule trans :premises (@p207 @p127 @p206 @p202 @p201 @p198 @p194)) % 25.23/25.45 (step @p209 :rule cong :premises (@p208 @p193) :args (@t119)) % 25.23/25.45 (step @p210 :rule symm :premises (@p130)) % 25.23/25.45 (step @p211 :rule symm :premises (@p175)) % 25.23/25.45 (step @p212 :rule symm :premises (@p171)) % 25.23/25.45 (step @p213 :rule trans :premises (@p126 @p212 @p211 @p210 @p131 @p209)) % 25.23/25.45 (step @p214 :rule symm :premises (@p191)) % 25.23/25.45 (step @p215 :rule cong :premises (@p214 @p213) :args ((tptp.addition @t91 @t91))) % 25.23/25.45 (step @p216 :rule instantiate :premises (@p148) :args ((@list @t91))) % 25.23/25.45 (step @p217 :rule trans :premises (@p216 @p215 @p192 @p160 @p190 @p189)) % 25.23/25.45 (step @p218 :rule trans :premises (@p217 @p188 @p160)) % 25.23/25.45 (step @p219 :rule cong :premises (@p218 @p158) :args (@t92)) % 25.23/25.45 (step @p220 :rule symm :premises (@p213)) % 25.23/25.45 (step @p221 :rule cong :premises (@p220 @p158) :args (@t93)) % 25.23/25.45 (step @p222 :rule trans :premises (@p221 @p219 @p157 @p155 @p153 @p143 @p141)) % 25.23/25.45 (step @p223 :rule cnf_equiv_pos2 :args (@t121)) % 25.23/25.45 (step @p224 :rule reordering :premises (@p223) :args ((or @t95 (not @t120) (not @t121)))) % 25.23/25.45 (step @p225 :rule chain_m_resolution :premises (@p224 @p222 @p137) :args (@t95 @t100 (@list @t120 @t121))) % 25.23/25.45 (step @p226 :rule cnf_or_neg :args (@t97 1)) % 25.23/25.45 (step @p227 :rule chain_m_resolution :premises (@p226 @p106) :args ((not @t96) @t98 @t99)) % 25.23/25.45 (step @p228 :rule cnf_and_neg :args (@t96)) % 25.23/25.45 (step @p229 :rule chain_m_resolution :premises (@p228 @p227 @p225) :args ((not @t94) (@list true false) (@list @t96 @t95))) % 25.23/25.45 (assume-push @p281 @t95) % 25.23/25.45 (assume-push @p282 @t123) % 25.23/25.45 (assume-push @p283 @t124) % 25.23/25.45 (assume-push @p284 @t125) % 25.23/25.45 (assume-push @p285 @t126) % 25.23/25.45 (assume-push @p286 @t127) % 25.23/25.45 (assume-push @p287 @t128) % 25.23/25.45 (assume-push @p288 @t130) % 25.23/25.45 (assume-push @p289 @t73) % 25.23/25.45 (assume-push @p290 @t131) % 25.23/25.45 (assume-push @p291 @t103) % 25.23/25.45 (assume-push @p292 @t101) % 25.23/25.45 (assume-push @p293 @t133) % 25.23/25.45 (assume-push @p294 @t134) % 25.23/25.45 (assume-push @p295 @t135) % 25.23/25.45 (assume-push @p296 @t136) % 25.23/25.45 (assume-push @p297 @t137) % 25.23/25.45 (assume-push @p298 @t138) % 25.23/25.45 (step @p248 :rule true_intro :premises (@p225)) % 25.23/25.45 (step @p249 :rule cong :premises (@p213 @p158) :args (@t92)) % 25.23/25.45 (step @p250 :rule cong :premises (@p221 @p249) :args (@t94)) % 25.23/25.45 (step @p251 :rule trans :premises (@p250 @p248)) % 25.23/25.45 (step @p252 :rule true_elim :premises (@p251)) % 25.23/25.45 (step-pop @p299 :rule scope :premises (@p252)) % 25.23/25.45 (step-pop @p300 :rule scope :premises (@p299)) % 25.23/25.45 (step-pop @p301 :rule scope :premises (@p300)) % 25.23/25.46 (step-pop @p302 :rule scope :premises (@p301)) % 25.23/25.46 (step-pop @p303 :rule scope :premises (@p302)) % 25.23/25.46 (step-pop @p304 :rule scope :premises (@p303)) % 25.23/25.46 (step-pop @p305 :rule scope :premises (@p304)) % 25.23/25.46 (step-pop @p306 :rule scope :premises (@p305)) % 25.23/25.46 (step-pop @p307 :rule scope :premises (@p306)) % 25.23/25.46 (step-pop @p308 :rule scope :premises (@p307)) % 25.23/25.46 (step-pop @p309 :rule scope :premises (@p308)) % 25.23/25.46 (step-pop @p310 :rule scope :premises (@p309)) % 25.23/25.46 (step-pop @p311 :rule scope :premises (@p310)) % 25.23/25.46 (step-pop @p312 :rule scope :premises (@p311)) % 25.23/25.46 (step-pop @p313 :rule scope :premises (@p312)) % 25.23/25.46 (step-pop @p314 :rule scope :premises (@p313)) % 25.23/25.46 (step-pop @p315 :rule scope :premises (@p314)) % 25.23/25.46 (step-pop @p316 :rule scope :premises (@p315)) % 25.23/25.46 (step @p253 :rule process_scope :premises (@p316) :args (@t94)) % 25.23/25.46 (step @p272 :rule implies_elim :premises (@p253)) % 25.23/25.46 (step @p273 :rule cnf_and_neg :args (@t139)) % 25.23/25.46 (step @p274 :rule resolution :premises (@p273 @p272) :args (true @t139)) % 25.23/25.46 (step @p275 :rule reordering :premises (@p274) :args ((or @t94 (not @t95) (not @t123) (not @t124) (not @t125) (not @t126) (not @t127) (not @t128) (not @t130) (not @t73) (not @t131) (not @t103) (not @t101) (not @t133) (not @t134) (not @t135) (not @t136) (not @t137) (not @t138)))) % 25.23/25.46 (step @p276 false :rule chain_m_resolution :premises (@p275 @p229 @p225 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p122 @p48 @p47 @p37 @p36 @p32 @p31 @p27 @p23 @p19) :args (false (@list true false false false false false false false false false false false false false false false false false false) (@list @t94 @t95 @t138 @t137 @t136 @t135 @t134 @t133 @t101 @t103 @t131 @t73 @t130 @t128 @t127 @t126 @t125 @t124 @t123))) % 25.23/25.46 ) % 25.23/25.46 % SZS output end Proof % 25.23/25.46 % cvc5 exiting %------------------------------------------------------------------------------