%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE025+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 : n019.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 08:28:07 AM UTC 2026 % Result : Theorem 16.34s 16.56s % Output : Proof 16.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE025+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 05:10:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 16.34/16.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.34/16.56 --- Run --no-e-matching --full-saturate-quant at 6... % 16.34/16.56 % SZS status Theorem % 16.34/16.56 % SZS output start Proof % 16.34/16.56 ( % 16.34/16.56 (declare-sort $$unsorted 0) % 16.34/16.56 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 16.34/16.56 (declare-const tptp.test (-> $$unsorted Bool)) % 16.34/16.56 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 16.34/16.56 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 16.34/16.56 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 16.34/16.56 (declare-const tptp.zero $$unsorted) % 16.34/16.56 (declare-const tptp.one $$unsorted) % 16.34/16.56 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 16.34/16.56 (define @t1 () (@var "A" $$unsorted)) % 16.34/16.56 (define @t2 () (@var "B" $$unsorted)) % 16.34/16.56 (define @t3 () (tptp.addition @t1 @t2)) % 16.34/16.56 (define @t4 () (@list @t1 @t2)) % 16.34/16.56 (define @t5 () (@var "C" $$unsorted)) % 16.34/16.56 (define @t6 () (tptp.addition @t2 @t5)) % 16.34/16.56 (define @t7 () (tptp.addition @t1 tptp.zero)) % 16.34/16.56 (define @t8 () (@list @t1)) % 16.34/16.56 (define @t9 () (forall @t8 (= @t7 @t1))) % 16.34/16.56 (define @t10 () (tptp.multiplication @t1 @t2)) % 16.34/16.56 (define @t11 () (tptp.multiplication @t2 @t5)) % 16.34/16.56 (define @t12 () (@list @t1 @t2 @t5)) % 16.34/16.56 (define @t13 () (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 16.34/16.56 (define @t14 () (tptp.multiplication @t1 tptp.one)) % 16.34/16.56 (define @t15 () (forall @t8 (= @t14 @t1))) % 16.34/16.56 (define @t16 () (tptp.multiplication @t1 @t5)) % 16.34/16.56 (define @t17 () (tptp.multiplication @t1 tptp.zero)) % 16.34/16.56 (define @t18 () (forall @t8 (= @t17 tptp.zero))) % 16.34/16.56 (define @t19 () (@var "X0" $$unsorted)) % 16.34/16.56 (define @t20 () (@var "X1" $$unsorted)) % 16.34/16.56 (define @t21 () (tptp.complement @t20 @t19)) % 16.34/16.56 (define @t22 () (@list @t20)) % 16.34/16.56 (define @t23 () (exists @t22 @t21)) % 16.34/16.56 (define @t24 () (tptp.test @t19)) % 16.34/16.56 (define @t25 () (= @t24 @t23)) % 16.34/16.56 (define @t26 () (@list @t19)) % 16.34/16.56 (define @t27 () (forall @t26 @t25)) % 16.34/16.56 (define @t28 () (tptp.addition @t19 @t20)) % 16.34/16.56 (define @t29 () (tptp.multiplication @t20 @t19)) % 16.34/16.56 (define @t30 () (tptp.multiplication @t19 @t20)) % 16.34/16.56 (define @t31 () (and (= @t30 tptp.zero) (= @t29 tptp.zero) (= @t28 tptp.one))) % 16.34/16.56 (define @t32 () (= @t21 @t31)) % 16.34/16.56 (define @t33 () (@list @t19 @t20)) % 16.34/16.56 (define @t34 () (forall @t33 @t32)) % 16.34/16.56 (define @t35 () (tptp.complement @t19 @t20)) % 16.34/16.56 (define @t36 () (tptp.c @t19)) % 16.34/16.56 (define @t37 () (= (= @t36 @t20) @t35)) % 16.34/16.56 (define @t38 () (=> @t24 @t37)) % 16.34/16.56 (define @t39 () (forall @t33 @t38)) % 16.34/16.56 (define @t40 () (not @t24)) % 16.34/16.56 (define @t41 () (@var "X2" $$unsorted)) % 16.34/16.56 (define @t42 () (= @t29 (tptp.multiplication @t29 @t41))) % 16.34/16.56 (define @t43 () (tptp.multiplication @t29 (tptp.c @t41))) % 16.34/16.56 (define @t44 () (=> (= @t43 tptp.zero) @t42)) % 16.34/16.56 (define @t45 () (tptp.test @t41)) % 16.34/16.56 (define @t46 () (tptp.test @t20)) % 16.34/16.56 (define @t47 () (and @t46 @t45)) % 16.34/16.56 (define @t48 () (=> @t47 @t44)) % 16.34/16.56 (define @t49 () (@list @t19 @t20 @t41)) % 16.34/16.56 (define @t50 () (forall @t49 @t48)) % 16.34/16.56 (define @t51 () (not @t50)) % 16.34/16.56 (define @t52 () (= tptp.zero @t43)) % 16.34/16.56 (define @t53 () (not @t52)) % 16.34/16.56 (define @t54 () (not @t45)) % 16.34/16.56 (define @t55 () (not @t46)) % 16.34/16.56 (define @t56 () (or @t55 @t54 @t53 @t42)) % 16.34/16.56 (define @t57 () (=> @t52 @t42)) % 16.34/16.56 (define @t58 () (forall @t49 @t56)) % 16.34/16.56 (define @t59 () (@quantifiers_skolemize @t58 2)) % 16.34/16.56 (define @t60 () (tptp.c @t59)) % 16.34/16.56 (define @t61 () (@quantifiers_skolemize @t58 0)) % 16.34/16.56 (define @t62 () (@quantifiers_skolemize @t58 1)) % 16.34/16.56 (define @t63 () (tptp.multiplication @t62 @t61)) % 16.34/16.56 (define @t64 () (= tptp.zero (tptp.multiplication @t63 @t60))) % 16.34/16.56 (define @t65 () (tptp.multiplication @t63 @t59)) % 16.34/16.56 (define @t66 () (= @t63 @t65)) % 16.34/16.56 (define @t67 () (not @t64)) % 16.34/16.56 (define @t68 () (tptp.test @t59)) % 16.34/16.56 (define @t69 () (not @t68)) % 16.34/16.56 (define @t70 () (or (not (tptp.test @t62)) @t69 @t67 @t66)) % 16.34/16.56 (define @t71 () (@list true)) % 16.34/16.56 (define @t72 () (@list @t70)) % 16.34/16.56 (define @t73 () (not @t66)) % 16.34/16.56 (define @t74 () (@list @t61)) % 16.34/16.56 (define @t75 () (@list @t59)) % 16.34/16.56 (define @t76 () (forall @t22 (not (tptp.complement @t20 @t59)))) % 16.34/16.56 (define @t77 () (@quantifiers_skolemize @t76 0)) % 16.34/16.56 (define @t78 () (@list @t59 @t77)) % 16.34/16.56 (define @t79 () (not @t76)) % 16.34/16.56 (define @t80 () (= @t68 @t79)) % 16.34/16.56 (define @t81 () (@list false false)) % 16.34/16.56 (define @t82 () (tptp.complement @t77 @t59)) % 16.34/16.56 (define @t83 () (not @t82)) % 16.34/16.56 (define @t84 () (not @t83)) % 16.34/16.56 (define @t85 () (tptp.addition @t59 @t77)) % 16.34/16.56 (define @t86 () (= tptp.one @t85)) % 16.34/16.56 (define @t87 () (= tptp.zero (tptp.multiplication @t77 @t59))) % 16.34/16.56 (define @t88 () (= tptp.zero (tptp.multiplication @t59 @t77))) % 16.34/16.56 (define @t89 () (and @t88 @t87 @t86)) % 16.34/16.56 (define @t90 () (= @t82 @t89)) % 16.34/16.56 (define @t91 () (not @t89)) % 16.34/16.56 (define @t92 () (@list false)) % 16.34/16.56 (define @t93 () (@list @t89)) % 16.34/16.56 (define @t94 () (= @t20 @t36)) % 16.34/16.56 (define @t95 () (= @t35 @t94)) % 16.34/16.56 (define @t96 () (tptp.complement @t59 @t77)) % 16.34/16.56 (define @t97 () (= @t96 (= @t77 @t60))) % 16.34/16.56 (define @t98 () (or @t69 @t97)) % 16.34/16.56 (define @t99 () (forall @t33 (or @t40 @t95))) % 16.34/16.56 (define @t100 () (= @t60 @t77)) % 16.34/16.56 (define @t101 () (= @t96 @t100)) % 16.34/16.56 (define @t102 () (or @t69 @t101)) % 16.34/16.56 (define @t103 () (tptp.addition @t77 @t59)) % 16.34/16.56 (define @t104 () (= tptp.one @t103)) % 16.34/16.56 (define @t105 () (and @t87 @t88 @t104)) % 16.34/16.56 (define @t106 () (= @t96 @t105)) % 16.34/16.56 (define @t107 () (tptp.multiplication @t61 tptp.zero)) % 16.34/16.56 (define @t108 () (tptp.multiplication @t62 @t107)) % 16.34/16.56 (define @t109 () (tptp.multiplication @t63 tptp.zero)) % 16.34/16.56 (define @t110 () (= @t108 @t109)) % 16.34/16.56 (define @t111 () (@list @t62 @t61 tptp.zero)) % 16.34/16.56 (define @t112 () (= @t109 @t108)) % 16.34/16.56 (define @t113 () (tptp.multiplication @t63 @t77)) % 16.34/16.56 (define @t114 () (tptp.addition @t113 @t65)) % 16.34/16.56 (define @t115 () (tptp.multiplication @t63 @t103)) % 16.34/16.56 (define @t116 () (= @t115 @t114)) % 16.34/16.56 (define @t117 () (not @t116)) % 16.34/16.56 (define @t118 () (not @t112)) % 16.34/16.56 (define @t119 () (tptp.multiplication @t61 tptp.one)) % 16.34/16.56 (define @t120 () (tptp.multiplication @t62 @t119)) % 16.34/16.56 (define @t121 () (= @t120 (tptp.multiplication @t63 tptp.one))) % 16.34/16.56 (define @t122 () (not @t121)) % 16.34/16.56 (define @t123 () (tptp.addition tptp.zero @t59)) % 16.34/16.56 (define @t124 () (tptp.multiplication @t63 @t123)) % 16.34/16.56 (define @t125 () (= @t124 (tptp.addition @t109 @t65))) % 16.34/16.56 (define @t126 () (not @t125)) % 16.34/16.56 (define @t127 () (not @t100)) % 16.34/16.56 (define @t128 () (not @t86)) % 16.34/16.56 (define @t129 () (= @t85 @t103)) % 16.34/16.56 (define @t130 () (not @t129)) % 16.34/16.56 (define @t131 () (tptp.addition @t59 tptp.zero)) % 16.34/16.56 (define @t132 () (= @t59 @t131)) % 16.34/16.56 (define @t133 () (not @t132)) % 16.34/16.56 (define @t134 () (= @t123 @t131)) % 16.34/16.56 (define @t135 () (not @t134)) % 16.34/16.56 (define @t136 () (tptp.multiplication @t62 tptp.zero)) % 16.34/16.56 (define @t137 () (= tptp.zero @t136)) % 16.34/16.56 (define @t138 () (not @t137)) % 16.34/16.56 (define @t139 () (= tptp.zero @t107)) % 16.34/16.56 (define @t140 () (not @t139)) % 16.34/16.56 (define @t141 () (= @t61 @t119)) % 16.34/16.56 (define @t142 () (not @t141)) % 16.34/16.56 (define @t143 () (and @t116 @t117)) % 16.34/16.56 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 16.34/16.56 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 16.34/16.56 (assume @p3 @t9) % 16.34/16.56 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 16.34/16.56 (assume @p5 @t13) % 16.34/16.56 (assume @p6 @t15) % 16.34/16.56 (assume @p7 (forall @t8 (= (tptp.multiplication tptp.one @t1) @t1))) % 16.34/16.56 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t16)))) % 16.34/16.56 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t16 @t11)))) % 16.34/16.56 (assume @p10 @t18) % 16.34/16.56 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 16.34/16.56 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 16.34/16.56 (assume @p13 @t27) % 16.34/16.56 (assume @p14 @t34) % 16.34/16.56 (assume @p15 @t39) % 16.34/16.56 (assume @p16 (forall @t26 (=> @t40 (= @t36 tptp.zero)))) % 16.34/16.56 (assume @p17 @t51) % 16.34/16.56 (assume @p18 true) % 16.34/16.56 (step @p19 :rule aci_norm :args ((= (or (or @t55 @t54) (or @t53 @t42)) @t56))) % 16.34/16.56 (step @p20 :rule bool-impl-elim :args (@t52 @t42)) % 16.34/16.56 (step @p21 :rule bool-and-de-morgan :args (@t46 @t45 true)) % 16.34/16.56 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or (not @t47) @t57))) % 16.34/16.56 (step @p23 :rule trans :premises (@p22 @p19)) % 16.34/16.56 (step @p24 :rule bool-impl-elim :args (@t47 @t57)) % 16.34/16.56 (step @p25 :rule trans :premises (@p24 @p23)) % 16.34/16.56 (step @p26 :rule cong :premises (@p25) :args ((forall @t49 (=> @t47 @t57)))) % 16.34/16.56 (step @p27 :rule refl :args (@t42)) % 16.34/16.56 (step @p28 :rule eq-symm :args (@t43 tptp.zero)) % 16.34/16.56 (step @p29 :rule cong :premises (@p28 @p27) :args (@t44)) % 16.34/16.56 (step @p30 :rule refl :args (@t47)) % 16.34/16.56 (step @p31 :rule cong :premises (@p30 @p29) :args (@t48)) % 16.34/16.56 (step @p32 :rule cong :premises (@p31) :args (@t50)) % 16.34/16.56 (step @p33 :rule trans :premises (@p32 @p26)) % 16.34/16.56 (step @p34 :rule cong :premises (@p33) :args (@t51)) % 16.34/16.56 (step @p35 :rule eq_resolve :premises (@p17 @p34)) % 16.34/16.56 (step @p36 :rule skolemize :premises (@p35)) % 16.34/16.56 (step @p37 :rule bool-double-not-elim :args (@t64)) % 16.34/16.56 (step @p38 :rule refl :args (@t70)) % 16.34/16.56 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t70 (not @t67)))) % 16.34/16.56 (step @p40 :rule cnf_or_neg :args (@t70 2)) % 16.34/16.56 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 16.34/16.56 (step @p42 :rule reordering :premises (@p41) :args ((or @t64 @t70))) % 16.34/16.56 (step @p43 :rule chain_m_resolution :premises (@p42 @p36) :args (@t64 @t71 @t72)) % 16.34/16.56 (step @p44 :rule cnf_or_neg :args (@t70 3)) % 16.34/16.56 (step @p45 :rule chain_m_resolution :premises (@p44 @p36) :args (@t73 @t71 @t72)) % 16.34/16.56 (step @p46 :rule eq-symm :args (@t14 @t1)) % 16.34/16.56 (step @p47 :rule cong :premises (@p46) :args (@t15)) % 16.34/16.56 (step @p48 :rule eq_resolve :premises (@p6 @p47)) % 16.34/16.56 (step @p49 :rule instantiate :premises (@p48) :args (@t74)) % 16.34/16.56 (step @p50 :rule eq-symm :args (@t17 tptp.zero)) % 16.34/16.56 (step @p51 :rule cong :premises (@p50) :args (@t18)) % 16.34/16.56 (step @p52 :rule eq_resolve :premises (@p10 @p51)) % 16.34/16.56 (step @p53 :rule instantiate :premises (@p52) :args (@t74)) % 16.34/16.56 (step @p54 :rule instantiate :premises (@p52) :args ((@list @t62))) % 16.34/16.56 (step @p55 :rule instantiate :premises (@p1) :args ((@list tptp.zero @t59))) % 16.34/16.56 (step @p56 :rule eq-symm :args (@t7 @t1)) % 16.34/16.56 (step @p57 :rule cong :premises (@p56) :args (@t9)) % 16.34/16.56 (step @p58 :rule eq_resolve :premises (@p3 @p57)) % 16.34/16.56 (step @p59 :rule instantiate :premises (@p58) :args (@t75)) % 16.34/16.56 (step @p60 :rule instantiate :premises (@p1) :args (@t78)) % 16.34/16.56 (step @p61 :rule eq-symm :args (@t28 tptp.one)) % 16.34/16.56 (step @p62 :rule eq-symm :args (@t29 tptp.zero)) % 16.34/16.56 (step @p63 :rule eq-symm :args (@t30 tptp.zero)) % 16.34/16.56 (step @p64 :rule nary_cong :premises (@p63 @p62 @p61) :args (@t31)) % 16.34/16.56 (step @p65 :rule refl :args (@t21)) % 16.34/16.56 (step @p66 :rule cong :premises (@p65 @p64) :args (@t32)) % 16.34/16.56 (step @p67 :rule cong :premises (@p66) :args (@t34)) % 16.34/16.56 (step @p68 :rule eq_resolve :premises (@p14 @p67)) % 16.34/16.56 (step @p69 :rule instantiate :premises (@p68) :args (@t78)) % 16.34/16.56 (step @p70 :rule exists-elim :args ((= @t23 (not (forall @t22 (not @t21)))))) % 16.34/16.56 (step @p71 :rule refl :args (@t24)) % 16.34/16.56 (step @p72 :rule cong :premises (@p71 @p70) :args (@t25)) % 16.34/16.56 (step @p73 :rule cong :premises (@p72) :args (@t27)) % 16.34/16.56 (step @p74 :rule eq_resolve :premises (@p13 @p73)) % 16.34/16.56 (step @p75 :rule instantiate :premises (@p74) :args (@t75)) % 16.34/16.56 (step @p76 :rule bool-double-not-elim :args (@t68)) % 16.34/16.56 (step @p77 :rule nary_cong :premises (@p38 @p76) :args ((or @t70 (not @t69)))) % 16.34/16.56 (step @p78 :rule cnf_or_neg :args (@t70 1)) % 16.34/16.56 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 16.34/16.56 (step @p80 :rule reordering :premises (@p79) :args ((or @t68 @t70))) % 16.34/16.56 (step @p81 :rule chain_m_resolution :premises (@p80 @p36) :args (@t68 @t71 @t72)) % 16.34/16.56 (step @p82 :rule cnf_equiv_pos1 :args (@t80)) % 16.34/16.56 (step @p83 :rule reordering :premises (@p82) :args ((or @t69 @t79 (not @t80)))) % 16.34/16.56 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p75) :args (@t79 @t81 (@list @t68 @t80))) % 16.34/16.56 (step @p85 :rule refl :args (@t82)) % 16.34/16.56 (step @p86 :rule bool-double-not-elim :args (@t76)) % 16.34/16.56 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or (not @t79) @t82))) % 16.34/16.56 (step @p88 :rule bool-double-not-elim :args (@t82)) % 16.34/16.56 (step @p89 :rule refl :args (@t79)) % 16.34/16.56 (step @p90 :rule cong :premises (@p89 @p88) :args ((=> @t79 @t84))) % 16.34/16.56 (assume-push @p252 @t79) % 16.34/16.56 (step @p92 :rule skolemize :premises (@p84)) % 16.34/16.56 (step-pop @p253 :rule scope :premises (@p92)) % 16.34/16.56 (step @p93 :rule process_scope :premises (@p253) :args (@t84)) % 16.34/16.56 (step @p95 :rule eq_resolve :premises (@p93 @p90)) % 16.34/16.56 (step @p96 :rule implies_elim :premises (@p95)) % 16.34/16.56 (step @p97 :rule eq_resolve :premises (@p96 @p87)) % 16.34/16.56 (step @p98 :rule chain_m_resolution :premises (@p97 @p84) :args (@t82 @t71 (@list @t76))) % 16.34/16.56 (step @p99 :rule cnf_equiv_pos1 :args (@t90)) % 16.34/16.56 (step @p100 :rule reordering :premises (@p99) :args ((or @t83 @t89 (not @t90)))) % 16.34/16.56 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p69) :args (@t89 @t81 (@list @t82 @t90))) % 16.34/16.56 (step @p102 :rule cnf_and_pos :args (@t89 2)) % 16.34/16.56 (step @p103 :rule reordering :premises (@p102) :args ((or @t86 @t91))) % 16.34/16.56 (step @p104 :rule chain_m_resolution :premises (@p103 @p101) :args (@t86 @t92 @t93)) % 16.34/16.56 (step @p105 :rule bool-impl-elim :args (@t24 @t95)) % 16.34/16.56 (step @p106 :rule cong :premises (@p105) :args ((forall @t33 (=> @t24 @t95)))) % 16.34/16.56 (step @p107 :rule eq-symm :args (@t94 @t35)) % 16.34/16.56 (step @p108 :rule refl :args (@t35)) % 16.34/16.56 (step @p109 :rule eq-symm :args (@t36 @t20)) % 16.34/16.56 (step @p110 :rule cong :premises (@p109 @p108) :args (@t37)) % 16.34/16.56 (step @p111 :rule trans :premises (@p110 @p107)) % 16.34/16.56 (step @p112 :rule cong :premises (@p71 @p111) :args (@t38)) % 16.34/16.56 (step @p113 :rule cong :premises (@p112) :args (@t39)) % 16.34/16.56 (step @p114 :rule trans :premises (@p113 @p106)) % 16.34/16.56 (step @p115 :rule eq_resolve :premises (@p15 @p114)) % 16.34/16.56 (step @p116 :rule eq-symm :args (@t77 @t60)) % 16.34/16.56 (step @p117 :rule refl :args (@t96)) % 16.34/16.56 (step @p118 :rule cong :premises (@p117 @p116) :args (@t97)) % 16.34/16.56 (step @p119 :rule refl :args (@t69)) % 16.34/16.56 (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t98)) % 16.34/16.56 (step @p121 :rule refl :args (@t99)) % 16.34/16.56 (step @p122 :rule cong :premises (@p121 @p120) :args ((=> @t99 @t98))) % 16.34/16.56 (assume-push @p254 @t99) % 16.34/16.56 (step @p124 :rule instantiate :premises (@p115) :args (@t78)) % 16.34/16.56 (step-pop @p255 :rule scope :premises (@p124)) % 16.34/16.56 (step @p125 :rule process_scope :premises (@p255) :args (@t98)) % 16.34/16.56 (step @p127 :rule eq_resolve :premises (@p125 @p122)) % 16.34/16.56 (step @p128 :rule implies_elim :premises (@p127)) % 16.34/16.56 (step @p129 :rule chain_m_resolution :premises (@p128 @p115) :args (@t102 @t92 (@list @t99))) % 16.34/16.56 (step @p130 :rule cnf_or_pos :args (@t102)) % 16.34/16.56 (step @p131 :rule reordering :premises (@p130) :args ((or @t69 @t101 (not @t102)))) % 16.34/16.56 (step @p132 :rule chain_m_resolution :premises (@p131 @p81 @p129) :args (@t101 @t81 (@list @t68 @t102))) % 16.34/16.56 (step @p133 :rule instantiate :premises (@p68) :args ((@list @t77 @t59))) % 16.34/16.56 (step @p134 :rule trans :premises (@p104 @p60)) % 16.34/16.56 (step @p135 :rule cnf_and_pos :args (@t89 1)) % 16.34/16.56 (step @p136 :rule reordering :premises (@p135) :args ((or @t87 @t91))) % 16.34/16.56 (step @p137 :rule chain_m_resolution :premises (@p136 @p101) :args (@t87 @t92 @t93)) % 16.34/16.56 (step @p138 :rule cnf_and_pos :args (@t89 0)) % 16.34/16.56 (step @p139 :rule reordering :premises (@p138) :args ((or @t88 @t91))) % 16.34/16.56 (step @p140 :rule chain_m_resolution :premises (@p139 @p101) :args (@t88 @t92 @t93)) % 16.34/16.56 (step @p141 :rule cnf_and_neg :args (@t105)) % 16.34/16.56 (step @p142 :rule reordering :premises (@p141) :args ((or (not @t88) (not @t87) @t105 (not @t104)))) % 16.34/16.56 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p137 @p134) :args (@t105 (@list false false false) (@list @t88 @t87 @t104))) % 16.34/16.56 (step @p144 :rule cnf_equiv_pos2 :args (@t106)) % 16.34/16.56 (step @p145 :rule reordering :premises (@p144) :args ((or @t96 (not @t105) (not @t106)))) % 16.34/16.56 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p133) :args (@t96 @t81 (@list @t105 @t106))) % 16.34/16.56 (step @p147 :rule cnf_equiv_pos1 :args (@t101)) % 16.34/16.56 (step @p148 :rule reordering :premises (@p147) :args ((or @t100 (not @t96) (not @t101)))) % 16.34/16.56 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p132) :args (@t100 @t81 (@list @t96 @t101))) % 16.34/16.56 (step @p150 :rule instantiate :premises (@p8) :args ((@list @t63 tptp.zero @t59))) % 16.34/16.56 (step @p151 :rule instantiate :premises (@p5) :args ((@list @t62 @t61 tptp.one))) % 16.34/16.56 (step @p152 :rule eq-symm :args (@t108 @t109)) % 16.34/16.56 (step @p153 :rule refl :args (@t13)) % 16.34/16.56 (step @p154 :rule cong :premises (@p153 @p152) :args ((=> @t13 @t110))) % 16.34/16.56 (assume-push @p256 @t13) % 16.34/16.56 (step @p156 :rule instantiate :premises (@p5) :args (@t111)) % 16.34/16.56 (step-pop @p257 :rule scope :premises (@p156)) % 16.34/16.56 (step @p157 :rule process_scope :premises (@p257) :args (@t110)) % 16.34/16.56 (step @p159 :rule eq_resolve :premises (@p157 @p154)) % 16.34/16.56 (step @p160 :rule implies_elim :premises (@p159)) % 16.34/16.56 (step @p161 :rule chain_m_resolution :premises (@p160 @p5) :args (@t112 @t92 (@list @t13))) % 16.34/16.56 (step @p162 :rule instantiate :premises (@p8) :args ((@list @t63 @t77 @t59))) % 16.34/16.56 (step @p163 :rule refl :args (@t117)) % 16.34/16.56 (step @p164 :rule refl :args (@t118)) % 16.34/16.56 (step @p165 :rule refl :args (@t122)) % 16.34/16.56 (step @p166 :rule refl :args (@t126)) % 16.34/16.56 (step @p167 :rule refl :args (@t127)) % 16.34/16.56 (step @p168 :rule refl :args (@t128)) % 16.34/16.56 (step @p169 :rule refl :args (@t130)) % 16.34/16.56 (step @p170 :rule refl :args (@t133)) % 16.34/16.56 (step @p171 :rule refl :args (@t135)) % 16.34/16.56 (step @p172 :rule refl :args (@t138)) % 16.34/16.56 (step @p173 :rule refl :args (@t140)) % 16.34/16.56 (step @p174 :rule refl :args (@t142)) % 16.34/16.56 (step @p175 :rule bool-double-not-elim :args (@t66)) % 16.34/16.56 (step @p176 :rule refl :args (@t67)) % 16.34/16.56 (step @p177 :rule nary_cong :premises (@p176 @p175 @p174 @p173 @p172 @p171 @p170 @p169 @p168 @p167 @p166 @p165 @p164 @p163) :args ((or @t67 (not @t73) @t142 @t140 @t138 @t135 @t133 @t130 @t128 @t127 @t126 @t122 @t118 @t117))) % 16.34/16.56 (assume-push @p258 @t116) % 16.34/16.56 (assume-push @p259 @t117) % 16.34/16.56 (step @p180 :rule evaluate :args ((= false true))) % 16.34/16.56 (step @p181 :rule true_intro :premises (@p162)) % 16.34/16.56 (step @p182 :rule false_intro :premises (@p45)) % 16.34/16.56 (step @p183 :rule symm :premises (@p59)) % 16.34/16.56 (step @p184 :rule trans :premises (@p55 @p183)) % 16.34/16.56 (step @p185 :rule refl :args (@t63)) % 16.34/16.56 (step @p186 :rule cong :premises (@p185 @p184) :args (@t124)) % 16.34/16.56 (step @p187 :rule symm :premises (@p150)) % 16.34/16.56 (step @p188 :rule refl :args (@t65)) % 16.34/16.56 (step @p156 :rule instantiate :premises (@p5) :args (@t111)) % 16.34/16.56 (step @p189 :rule refl :args (@t62)) % 16.34/16.56 (step @p190 :rule cong :premises (@p189 @p53) :args (@t136)) % 16.34/16.56 (step @p191 :rule trans :premises (@p54 @p190 @p156)) % 16.34/16.56 (step @p192 :rule symm :premises (@p43)) % 16.34/16.56 (step @p193 :rule symm :premises (@p149)) % 16.34/16.56 (step @p194 :rule cong :premises (@p185 @p193) :args (@t113)) % 16.34/16.56 (step @p195 :rule trans :premises (@p194 @p192)) % 16.34/16.56 (step @p196 :rule trans :premises (@p195 @p191)) % 16.34/16.56 (step @p197 :rule cong :premises (@p196 @p188) :args (@t114)) % 16.34/16.56 (step @p198 :rule trans :premises (@p197 @p187 @p186)) % 16.34/16.56 (step @p199 :rule symm :premises (@p49)) % 16.34/16.56 (step @p200 :rule cong :premises (@p189 @p199) :args (@t120)) % 16.34/16.56 (step @p201 :rule symm :premises (@p151)) % 16.34/16.56 (step @p202 :rule symm :premises (@p104)) % 16.34/16.56 (step @p203 :rule symm :premises (@p60)) % 16.34/16.56 (step @p204 :rule trans :premises (@p203 @p202)) % 16.34/16.56 (step @p205 :rule cong :premises (@p185 @p204) :args (@t115)) % 16.34/16.56 (step @p206 :rule trans :premises (@p205 @p201 @p200)) % 16.34/16.56 (step @p207 :rule cong :premises (@p206 @p198) :args (@t116)) % 16.34/16.56 (step @p208 :rule trans :premises (@p207 @p182)) % 16.34/16.56 (step @p209 :rule symm :premises (@p208)) % 16.34/16.56 (step @p210 :rule trans :premises (@p209 @p181)) % 16.34/16.56 (step @p211 false :rule eq_resolve :premises (@p210 @p180)) % 16.34/16.56 (step-pop @p260 :rule scope :premises (@p211)) % 16.34/16.56 (step-pop @p261 :rule scope :premises (@p260)) % 16.34/16.56 (step @p212 :rule process_scope :premises (@p261) :args (false)) % 16.34/16.56 (assume-push @p262 @t64) % 16.34/16.56 (assume-push @p263 @t73) % 16.34/16.56 (assume-push @p264 @t141) % 16.34/16.56 (assume-push @p265 @t139) % 16.34/16.56 (assume-push @p266 @t137) % 16.34/16.56 (assume-push @p267 @t134) % 16.34/16.56 (assume-push @p268 @t132) % 16.34/16.56 (assume-push @p269 @t129) % 16.34/16.56 (assume-push @p270 @t86) % 16.34/16.56 (assume-push @p271 @t100) % 16.34/16.56 (assume-push @p272 @t125) % 16.34/16.56 (assume-push @p273 @t121) % 16.34/16.56 (assume-push @p274 @t112) % 16.34/16.56 (assume-push @p275 @t116) % 16.34/16.56 (step @p182 :rule false_intro :premises (@p45)) % 16.34/16.56 (step @p183 :rule symm :premises (@p59)) % 16.34/16.56 (step @p184 :rule trans :premises (@p55 @p183)) % 16.34/16.56 (step @p185 :rule refl :args (@t63)) % 16.34/16.56 (step @p186 :rule cong :premises (@p185 @p184) :args (@t124)) % 16.34/16.56 (step @p187 :rule symm :premises (@p150)) % 16.34/16.56 (step @p188 :rule refl :args (@t65)) % 16.34/16.56 (step @p156 :rule instantiate :premises (@p5) :args (@t111)) % 16.34/16.56 (step @p189 :rule refl :args (@t62)) % 16.34/16.56 (step @p190 :rule cong :premises (@p189 @p53) :args (@t136)) % 16.34/16.56 (step @p191 :rule trans :premises (@p54 @p190 @p156)) % 16.34/16.56 (step @p192 :rule symm :premises (@p43)) % 16.34/16.56 (step @p193 :rule symm :premises (@p149)) % 16.34/16.56 (step @p194 :rule cong :premises (@p185 @p193) :args (@t113)) % 16.34/16.56 (step @p195 :rule trans :premises (@p194 @p192)) % 16.34/16.56 (step @p196 :rule trans :premises (@p195 @p191)) % 16.34/16.56 (step @p197 :rule cong :premises (@p196 @p188) :args (@t114)) % 16.34/16.56 (step @p198 :rule trans :premises (@p197 @p187 @p186)) % 16.34/16.56 (step @p199 :rule symm :premises (@p49)) % 16.34/16.56 (step @p200 :rule cong :premises (@p189 @p199) :args (@t120)) % 16.34/16.56 (step @p201 :rule symm :premises (@p151)) % 16.34/16.56 (step @p202 :rule symm :premises (@p104)) % 16.34/16.56 (step @p203 :rule symm :premises (@p60)) % 16.34/16.56 (step @p204 :rule trans :premises (@p203 @p202)) % 16.34/16.56 (step @p205 :rule cong :premises (@p185 @p204) :args (@t115)) % 16.34/16.56 (step @p206 :rule trans :premises (@p205 @p201 @p200)) % 16.34/16.56 (step @p207 :rule cong :premises (@p206 @p198) :args (@t116)) % 16.34/16.56 (step @p229 :rule trans :premises (@p207 @p182)) % 16.34/16.56 (step @p230 :rule false_elim :premises (@p229)) % 16.34/16.56 (step @p231 :rule and_intro :premises (@p162 @p230)) % 16.34/16.56 (step-pop @p276 :rule scope :premises (@p231)) % 16.34/16.56 (step-pop @p277 :rule scope :premises (@p276)) % 16.34/16.56 (step-pop @p278 :rule scope :premises (@p277)) % 16.34/16.56 (step-pop @p279 :rule scope :premises (@p278)) % 16.34/16.56 (step-pop @p280 :rule scope :premises (@p279)) % 16.34/16.56 (step-pop @p281 :rule scope :premises (@p280)) % 16.34/16.56 (step-pop @p282 :rule scope :premises (@p281)) % 16.34/16.56 (step-pop @p283 :rule scope :premises (@p282)) % 16.34/16.56 (step-pop @p284 :rule scope :premises (@p283)) % 16.34/16.56 (step-pop @p285 :rule scope :premises (@p284)) % 16.34/16.56 (step-pop @p286 :rule scope :premises (@p285)) % 16.34/16.56 (step-pop @p287 :rule scope :premises (@p286)) % 16.34/16.56 (step-pop @p288 :rule scope :premises (@p287)) % 16.34/16.56 (step-pop @p289 :rule scope :premises (@p288)) % 16.34/16.56 (step @p232 :rule process_scope :premises (@p289) :args (@t143)) % 16.34/16.56 (step @p247 :rule implies_elim :premises (@p232)) % 16.34/16.56 (step @p248 :rule resolution :premises (@p247 @p212) :args (true @t143)) % 16.34/16.56 (step @p249 :rule not_and :premises (@p248)) % 16.34/16.56 (step @p250 :rule eq_resolve :premises (@p249 @p177)) % 16.34/16.56 (step @p251 false :rule chain_m_resolution :premises (@p250 @p162 @p161 @p151 @p150 @p149 @p104 @p60 @p59 @p55 @p54 @p53 @p49 @p45 @p43) :args (false (@list false false false false false false false false false false false false true false) (@list @t116 @t112 @t121 @t125 @t100 @t86 @t129 @t132 @t134 @t137 @t139 @t141 @t66 @t64))) % 16.34/16.56 ) % 16.34/16.56 % SZS output end Proof % 16.34/16.56 % cvc5 exiting %------------------------------------------------------------------------------