%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE034+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:28:09 AM UTC 2026 % Result : Theorem 24.85s 25.11s % Output : Proof 24.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE034+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n006.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 05:10:49 EDT 2026 % 0.17/0.35 % CPUTime : % 0.25/0.50 %----Proving TF0_NAR, FOF, or CNF % 24.85/25.11 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 24.85/25.11 --- Run --no-e-matching --full-saturate-quant at 6... % 24.85/25.11 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 24.85/25.11 % SZS status Theorem % 24.85/25.11 % SZS output start Proof % 24.85/25.11 ( % 24.85/25.11 (declare-sort $$unsorted 0) % 24.85/25.11 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 24.85/25.11 (declare-const tptp.test (-> $$unsorted Bool)) % 24.85/25.11 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 24.85/25.11 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 24.85/25.11 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 24.85/25.11 (declare-const tptp.zero $$unsorted) % 24.85/25.11 (declare-const tptp.one $$unsorted) % 24.85/25.11 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 24.85/25.11 (define @t1 () (@var "A" $$unsorted)) % 24.85/25.11 (define @t2 () (@var "B" $$unsorted)) % 24.85/25.11 (define @t3 () (tptp.addition @t1 @t2)) % 24.85/25.11 (define @t4 () (@list @t1 @t2)) % 24.85/25.11 (define @t5 () (@var "C" $$unsorted)) % 24.85/25.11 (define @t6 () (tptp.addition @t2 @t5)) % 24.85/25.11 (define @t7 () (tptp.addition @t1 tptp.zero)) % 24.85/25.11 (define @t8 () (@list @t1)) % 24.85/25.11 (define @t9 () (forall @t8 (= @t7 @t1))) % 24.85/25.11 (define @t10 () (tptp.multiplication @t1 @t2)) % 24.85/25.11 (define @t11 () (tptp.multiplication @t2 @t5)) % 24.85/25.11 (define @t12 () (@list @t1 @t2 @t5)) % 24.85/25.11 (define @t13 () (tptp.multiplication @t1 tptp.one)) % 24.85/25.11 (define @t14 () (forall @t8 (= @t13 @t1))) % 24.85/25.11 (define @t15 () (tptp.multiplication @t1 @t5)) % 24.85/25.11 (define @t16 () (tptp.multiplication @t1 tptp.zero)) % 24.85/25.11 (define @t17 () (forall @t8 (= @t16 tptp.zero))) % 24.85/25.11 (define @t18 () (tptp.leq @t1 @t2)) % 24.85/25.11 (define @t19 () (= @t18 (= @t3 @t2))) % 24.85/25.11 (define @t20 () (forall @t4 @t19)) % 24.85/25.11 (define @t21 () (@var "X0" $$unsorted)) % 24.85/25.11 (define @t22 () (@var "X1" $$unsorted)) % 24.85/25.11 (define @t23 () (tptp.complement @t22 @t21)) % 24.85/25.11 (define @t24 () (tptp.test @t21)) % 24.85/25.11 (define @t25 () (@list @t21)) % 24.85/25.11 (define @t26 () (tptp.addition @t21 @t22)) % 24.85/25.11 (define @t27 () (tptp.multiplication @t22 @t21)) % 24.85/25.11 (define @t28 () (tptp.multiplication @t21 @t22)) % 24.85/25.11 (define @t29 () (and (= @t28 tptp.zero) (= @t27 tptp.zero) (= @t26 tptp.one))) % 24.85/25.11 (define @t30 () (= @t23 @t29)) % 24.85/25.11 (define @t31 () (@list @t21 @t22)) % 24.85/25.11 (define @t32 () (forall @t31 @t30)) % 24.85/25.11 (define @t33 () (tptp.complement @t21 @t22)) % 24.85/25.11 (define @t34 () (tptp.c @t21)) % 24.85/25.11 (define @t35 () (= (= @t34 @t22) @t33)) % 24.85/25.11 (define @t36 () (=> @t24 @t35)) % 24.85/25.11 (define @t37 () (forall @t31 @t36)) % 24.85/25.11 (define @t38 () (not @t24)) % 24.85/25.11 (define @t39 () (tptp.c @t22)) % 24.85/25.11 (define @t40 () (and @t24 (tptp.test @t22))) % 24.85/25.11 (define @t41 () (@var "X4" $$unsorted)) % 24.85/25.11 (define @t42 () (tptp.c @t41)) % 24.85/25.11 (define @t43 () (@var "X2" $$unsorted)) % 24.85/25.11 (define @t44 () (tptp.multiplication @t43 @t21)) % 24.85/25.11 (define @t45 () (tptp.leq (tptp.multiplication (tptp.multiplication @t44 @t22) @t42) tptp.zero)) % 24.85/25.11 (define @t46 () (@var "X3" $$unsorted)) % 24.85/25.11 (define @t47 () (tptp.leq (tptp.multiplication (tptp.multiplication @t46 @t22) @t42) tptp.zero)) % 24.85/25.11 (define @t48 () (tptp.leq (tptp.multiplication @t44 (tptp.c @t46)) tptp.zero)) % 24.85/25.11 (define @t49 () (tptp.test @t41)) % 24.85/25.11 (define @t50 () (tptp.test @t43)) % 24.85/25.11 (define @t51 () (tptp.test @t46)) % 24.85/25.11 (define @t52 () (and @t51 @t50 @t49 @t48 @t47)) % 24.85/25.11 (define @t53 () (@list @t21 @t22 @t43 @t46 @t41)) % 24.85/25.11 (define @t54 () (forall @t53 (=> @t52 @t45))) % 24.85/25.11 (define @t55 () (not @t54)) % 24.85/25.11 (define @t56 () (not @t47)) % 24.85/25.11 (define @t57 () (not @t48)) % 24.85/25.11 (define @t58 () (not @t49)) % 24.85/25.11 (define @t59 () (not @t50)) % 24.85/25.11 (define @t60 () (not @t51)) % 24.85/25.11 (define @t61 () (or @t60 @t59 @t58 @t57 @t56 @t45)) % 24.85/25.11 (define @t62 () (forall @t53 @t61)) % 24.85/25.11 (define @t63 () (@quantifiers_skolemize @t62 3)) % 24.85/25.11 (define @t64 () (@quantifiers_skolemize @t62 2)) % 24.85/25.11 (define @t65 () (tptp.multiplication @t64 (@quantifiers_skolemize @t62 0))) % 24.85/25.11 (define @t66 () (@list @t65)) % 24.85/25.11 (define @t67 () (@quantifiers_skolemize @t62 4)) % 24.85/25.11 (define @t68 () (tptp.c @t67)) % 24.85/25.11 (define @t69 () (@quantifiers_skolemize @t62 1)) % 24.85/25.11 (define @t70 () (tptp.multiplication (tptp.multiplication @t65 @t69) @t68)) % 24.85/25.11 (define @t71 () (or @t60 @t59 @t58 @t57 @t56)) % 24.85/25.11 (define @t72 () (tptp.leq @t70 tptp.zero)) % 24.85/25.11 (define @t73 () (tptp.multiplication @t63 @t69)) % 24.85/25.11 (define @t74 () (tptp.multiplication @t73 @t68)) % 24.85/25.11 (define @t75 () (tptp.leq @t74 tptp.zero)) % 24.85/25.11 (define @t76 () (not @t75)) % 24.85/25.11 (define @t77 () (tptp.c @t63)) % 24.85/25.11 (define @t78 () (tptp.multiplication @t65 @t77)) % 24.85/25.11 (define @t79 () (tptp.leq @t78 tptp.zero)) % 24.85/25.11 (define @t80 () (not @t79)) % 24.85/25.11 (define @t81 () (tptp.test @t63)) % 24.85/25.11 (define @t82 () (not @t81)) % 24.85/25.11 (define @t83 () (or @t82 (not (tptp.test @t64)) (not (tptp.test @t67)) @t80 @t76 @t72)) % 24.85/25.11 (define @t84 () (@list true)) % 24.85/25.11 (define @t85 () (@list @t83)) % 24.85/25.11 (define @t86 () (tptp.addition @t70 tptp.zero)) % 24.85/25.11 (define @t87 () (= tptp.zero @t86)) % 24.85/25.11 (define @t88 () (= @t72 @t87)) % 24.85/25.11 (define @t89 () (not @t87)) % 24.85/25.11 (define @t90 () (tptp.addition @t78 tptp.zero)) % 24.85/25.11 (define @t91 () (= tptp.zero @t90)) % 24.85/25.11 (define @t92 () (= @t79 @t91)) % 24.85/25.11 (define @t93 () (@list false false)) % 24.85/25.11 (define @t94 () (tptp.addition @t74 tptp.zero)) % 24.85/25.11 (define @t95 () (= tptp.zero @t94)) % 24.85/25.11 (define @t96 () (= @t75 @t95)) % 24.85/25.11 (define @t97 () (@list @t63 @t77)) % 24.85/25.11 (define @t98 () (= @t22 @t34)) % 24.85/25.11 (define @t99 () (= @t33 @t98)) % 24.85/25.11 (define @t100 () (tptp.complement @t63 @t77)) % 24.85/25.11 (define @t101 () (= @t77 @t77)) % 24.85/25.11 (define @t102 () (or @t82 (= @t100 @t101))) % 24.85/25.11 (define @t103 () (forall @t31 (or @t38 @t99))) % 24.85/25.11 (define @t104 () (or @t82 @t100)) % 24.85/25.11 (define @t105 () (@list false)) % 24.85/25.11 (define @t106 () (tptp.addition @t77 @t63)) % 24.85/25.11 (define @t107 () (= tptp.one @t106)) % 24.85/25.11 (define @t108 () (and (= tptp.zero (tptp.multiplication @t77 @t63)) (= tptp.zero (tptp.multiplication @t63 @t77)) @t107)) % 24.85/25.11 (define @t109 () (= @t100 @t108)) % 24.85/25.11 (define @t110 () (tptp.multiplication @t65 @t73)) % 24.85/25.11 (define @t111 () (tptp.multiplication @t110 @t68)) % 24.85/25.11 (define @t112 () (tptp.multiplication @t65 @t74)) % 24.85/25.11 (define @t113 () (= @t112 @t111)) % 24.85/25.11 (define @t114 () (not @t113)) % 24.85/25.11 (define @t115 () (tptp.multiplication @t65 @t63)) % 24.85/25.11 (define @t116 () (tptp.multiplication @t115 @t69)) % 24.85/25.11 (define @t117 () (= @t110 @t116)) % 24.85/25.11 (define @t118 () (not @t117)) % 24.85/25.11 (define @t119 () (tptp.multiplication @t65 tptp.zero)) % 24.85/25.11 (define @t120 () (tptp.addition @t115 @t119)) % 24.85/25.11 (define @t121 () (tptp.addition @t63 tptp.zero)) % 24.85/25.11 (define @t122 () (= (tptp.multiplication @t65 @t121) @t120)) % 24.85/25.11 (define @t123 () (not @t122)) % 24.85/25.11 (define @t124 () (tptp.addition @t63 @t77)) % 24.85/25.11 (define @t125 () (tptp.multiplication @t65 @t124)) % 24.85/25.11 (define @t126 () (= @t125 (tptp.addition @t115 @t78))) % 24.85/25.11 (define @t127 () (not @t126)) % 24.85/25.11 (define @t128 () (not @t107)) % 24.85/25.11 (define @t129 () (= @t124 @t106)) % 24.85/25.11 (define @t130 () (not @t129)) % 24.85/25.11 (define @t131 () (= @t74 @t94)) % 24.85/25.11 (define @t132 () (not @t131)) % 24.85/25.11 (define @t133 () (not @t95)) % 24.85/25.11 (define @t134 () (= @t78 @t90)) % 24.85/25.11 (define @t135 () (not @t134)) % 24.85/25.11 (define @t136 () (not @t91)) % 24.85/25.11 (define @t137 () (= @t70 @t86)) % 24.85/25.11 (define @t138 () (not @t137)) % 24.85/25.11 (define @t139 () (= tptp.zero @t119)) % 24.85/25.11 (define @t140 () (not @t139)) % 24.85/25.11 (define @t141 () (= @t65 (tptp.multiplication @t65 tptp.one))) % 24.85/25.11 (define @t142 () (not @t141)) % 24.85/25.11 (define @t143 () (= @t63 @t121)) % 24.85/25.11 (define @t144 () (not @t143)) % 24.85/25.11 (define @t145 () (tptp.addition @t115 tptp.zero)) % 24.85/25.11 (define @t146 () (and @t113 @t114)) % 24.85/25.11 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 24.85/25.11 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 24.85/25.11 (assume @p3 @t9) % 24.85/25.11 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 24.85/25.11 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 24.85/25.11 (assume @p6 @t14) % 24.85/25.11 (assume @p7 (forall @t8 (= (tptp.multiplication tptp.one @t1) @t1))) % 24.85/25.11 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t15)))) % 24.85/25.11 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t15 @t11)))) % 24.85/25.11 (assume @p10 @t17) % 24.85/25.11 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 24.85/25.11 (assume @p12 @t20) % 24.85/25.11 (assume @p13 (forall @t25 (= @t24 (exists (@list @t22) @t23)))) % 24.85/25.11 (assume @p14 @t32) % 24.85/25.11 (assume @p15 @t37) % 24.85/25.11 (assume @p16 (forall @t25 (=> @t38 (= @t34 tptp.zero)))) % 24.85/25.11 (assume @p17 (forall @t31 (=> @t40 (= (tptp.c @t26) (tptp.multiplication @t34 @t39))))) % 24.85/25.11 (assume @p18 (forall @t31 (=> @t40 (= (tptp.c @t28) (tptp.addition @t34 @t39))))) % 24.85/25.11 (assume @p19 @t55) % 24.85/25.11 (assume @p20 true) % 24.85/25.11 (step @p21 :rule eq-symm :args (@t7 @t1)) % 24.85/25.11 (step @p22 :rule cong :premises (@p21) :args (@t9)) % 24.85/25.11 (step @p23 :rule eq_resolve :premises (@p3 @p22)) % 24.85/25.11 (step @p24 :rule instantiate :premises (@p23) :args ((@list @t63))) % 24.85/25.11 (step @p25 :rule eq-symm :args (@t13 @t1)) % 24.85/25.11 (step @p26 :rule cong :premises (@p25) :args (@t14)) % 24.85/25.11 (step @p27 :rule eq_resolve :premises (@p6 @p26)) % 24.85/25.11 (step @p28 :rule instantiate :premises (@p27) :args (@t66)) % 24.85/25.11 (step @p29 :rule eq-symm :args (@t16 tptp.zero)) % 24.85/25.11 (step @p30 :rule cong :premises (@p29) :args (@t17)) % 24.85/25.11 (step @p31 :rule eq_resolve :premises (@p10 @p30)) % 24.85/25.11 (step @p32 :rule instantiate :premises (@p31) :args (@t66)) % 24.85/25.11 (step @p33 :rule instantiate :premises (@p23) :args ((@list @t70))) % 24.85/25.11 (step @p34 :rule eq-symm :args (@t3 @t2)) % 24.85/25.11 (step @p35 :rule refl :args (@t18)) % 24.85/25.11 (step @p36 :rule cong :premises (@p35 @p34) :args (@t19)) % 24.85/25.11 (step @p37 :rule cong :premises (@p36) :args (@t20)) % 24.85/25.11 (step @p38 :rule eq_resolve :premises (@p12 @p37)) % 24.85/25.11 (step @p39 :rule instantiate :premises (@p38) :args ((@list @t70 tptp.zero))) % 24.85/25.11 (step @p40 :rule aci_norm :args ((= (or @t71 @t45) @t61))) % 24.85/25.11 (step @p41 :rule refl :args (@t45)) % 24.85/25.11 (step @p42 :rule aci_norm :args ((= (or @t60 (or @t59 (or @t58 (or @t57 @t56)))) @t71))) % 24.85/25.11 (step @p43 :rule bool-and-de-morgan :args (@t48 @t47 true)) % 24.85/25.11 (step @p44 :rule refl :args (@t58)) % 24.85/25.11 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t58 (not (and @t48 @t47))))) % 24.85/25.11 (step @p46 :rule bool-and-de-morgan :args (@t49 @t48 (and @t47))) % 24.85/25.11 (step @p47 :rule trans :premises (@p46 @p45)) % 24.85/25.11 (step @p48 :rule refl :args (@t59)) % 24.85/25.11 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t59 (not (and @t49 @t48 @t47))))) % 24.85/25.11 (step @p50 :rule bool-and-de-morgan :args (@t50 @t49 (and @t48 @t47))) % 24.85/25.11 (step @p51 :rule trans :premises (@p50 @p49)) % 24.85/25.11 (step @p52 :rule refl :args (@t60)) % 24.85/25.11 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t60 (not (and @t50 @t49 @t48 @t47))))) % 24.85/25.11 (step @p54 :rule bool-and-de-morgan :args (@t51 @t50 (and @t49 @t48 @t47))) % 24.85/25.11 (step @p55 :rule trans :premises (@p54 @p53)) % 24.85/25.11 (step @p56 :rule trans :premises (@p55 @p42)) % 24.85/25.11 (step @p57 :rule nary_cong :premises (@p56 @p41) :args ((or (not @t52) @t45))) % 24.85/25.11 (step @p58 :rule trans :premises (@p57 @p40)) % 24.85/25.11 (step @p59 :rule bool-impl-elim :args (@t52 @t45)) % 24.85/25.11 (step @p60 :rule trans :premises (@p59 @p58)) % 24.85/25.11 (step @p61 :rule cong :premises (@p60) :args (@t54)) % 24.85/25.11 (step @p62 :rule cong :premises (@p61) :args (@t55)) % 24.85/25.11 (step @p63 :rule eq_resolve :premises (@p19 @p62)) % 24.85/25.11 (step @p64 :rule skolemize :premises (@p63)) % 24.85/25.11 (step @p65 :rule cnf_or_neg :args (@t83 5)) % 24.85/25.11 (step @p66 :rule chain_m_resolution :premises (@p65 @p64) :args ((not @t72) @t84 @t85)) % 24.85/25.11 (step @p67 :rule cnf_equiv_pos2 :args (@t88)) % 24.85/25.11 (step @p68 :rule reordering :premises (@p67) :args ((or @t72 @t89 (not @t88)))) % 24.85/25.11 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p39) :args (@t89 (@list true false) (@list @t72 @t88))) % 24.85/25.11 (step @p70 :rule instantiate :premises (@p38) :args ((@list @t78 tptp.zero))) % 24.85/25.11 (step @p71 :rule bool-double-not-elim :args (@t79)) % 24.85/25.11 (step @p72 :rule refl :args (@t83)) % 24.85/25.11 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t83 (not @t80)))) % 24.85/25.11 (step @p74 :rule cnf_or_neg :args (@t83 3)) % 24.85/25.11 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 24.85/25.11 (step @p76 :rule reordering :premises (@p75) :args ((or @t79 @t83))) % 24.85/25.11 (step @p77 :rule chain_m_resolution :premises (@p76 @p64) :args (@t79 @t84 @t85)) % 24.85/25.11 (step @p78 :rule cnf_equiv_pos1 :args (@t92)) % 24.85/25.11 (step @p79 :rule reordering :premises (@p78) :args ((or @t80 @t91 (not @t92)))) % 24.85/25.11 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p70) :args (@t91 @t93 (@list @t79 @t92))) % 24.85/25.11 (step @p81 :rule instantiate :premises (@p23) :args ((@list @t78))) % 24.85/25.11 (step @p82 :rule instantiate :premises (@p38) :args ((@list @t74 tptp.zero))) % 24.85/25.11 (step @p83 :rule bool-double-not-elim :args (@t75)) % 24.85/25.11 (step @p84 :rule nary_cong :premises (@p72 @p83) :args ((or @t83 (not @t76)))) % 24.85/25.11 (step @p85 :rule cnf_or_neg :args (@t83 4)) % 24.85/25.11 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 24.85/25.11 (step @p87 :rule reordering :premises (@p86) :args ((or @t75 @t83))) % 24.85/25.11 (step @p88 :rule chain_m_resolution :premises (@p87 @p64) :args (@t75 @t84 @t85)) % 24.85/25.11 (step @p89 :rule cnf_equiv_pos1 :args (@t96)) % 24.85/25.11 (step @p90 :rule reordering :premises (@p89) :args ((or @t76 @t95 (not @t96)))) % 24.85/25.11 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p82) :args (@t95 @t93 (@list @t75 @t96))) % 24.85/25.11 (step @p92 :rule instantiate :premises (@p23) :args ((@list @t74))) % 24.85/25.11 (step @p93 :rule instantiate :premises (@p1) :args (@t97)) % 24.85/25.11 (step @p94 :rule eq-symm :args (@t26 tptp.one)) % 24.85/25.11 (step @p95 :rule eq-symm :args (@t27 tptp.zero)) % 24.85/25.11 (step @p96 :rule eq-symm :args (@t28 tptp.zero)) % 24.85/25.11 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94) :args (@t29)) % 24.85/25.11 (step @p98 :rule refl :args (@t23)) % 24.85/25.11 (step @p99 :rule cong :premises (@p98 @p97) :args (@t30)) % 24.85/25.11 (step @p100 :rule cong :premises (@p99) :args (@t32)) % 24.85/25.11 (step @p101 :rule eq_resolve :premises (@p14 @p100)) % 24.85/25.11 (step @p102 :rule instantiate :premises (@p101) :args ((@list @t77 @t63))) % 24.85/25.11 (step @p103 :rule bool-impl-elim :args (@t24 @t99)) % 24.85/25.11 (step @p104 :rule cong :premises (@p103) :args ((forall @t31 (=> @t24 @t99)))) % 24.85/25.11 (step @p105 :rule eq-symm :args (@t98 @t33)) % 24.85/25.11 (step @p106 :rule refl :args (@t33)) % 24.85/25.11 (step @p107 :rule eq-symm :args (@t34 @t22)) % 24.85/25.11 (step @p108 :rule cong :premises (@p107 @p106) :args (@t35)) % 24.85/25.11 (step @p109 :rule trans :premises (@p108 @p105)) % 24.85/25.11 (step @p110 :rule refl :args (@t24)) % 24.85/25.11 (step @p111 :rule cong :premises (@p110 @p109) :args (@t36)) % 24.85/25.11 (step @p112 :rule cong :premises (@p111) :args (@t37)) % 24.85/25.11 (step @p113 :rule trans :premises (@p112 @p104)) % 24.85/25.11 (step @p114 :rule eq_resolve :premises (@p15 @p113)) % 24.85/25.11 (step @p115 :rule bool-eq-true :args (@t100)) % 24.85/25.11 (step @p116 :rule eq-symm :args (true @t100)) % 24.85/25.11 (step @p117 :rule trans :premises (@p116 @p115)) % 24.85/25.11 (step @p118 :rule refl :args (@t100)) % 24.85/25.11 (step @p119 :rule eq-refl :args (@t77)) % 24.85/25.11 (step @p120 :rule cong :premises (@p119 @p118) :args ((= @t101 @t100))) % 24.85/25.11 (step @p121 :rule trans :premises (@p120 @p117)) % 24.85/25.11 (step @p122 :rule eq-symm :args (@t100 @t101)) % 24.85/25.11 (step @p123 :rule trans :premises (@p122 @p121)) % 24.85/25.11 (step @p124 :rule refl :args (@t82)) % 24.85/25.11 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t102)) % 24.85/25.11 (step @p126 :rule refl :args (@t103)) % 24.85/25.11 (step @p127 :rule cong :premises (@p126 @p125) :args ((=> @t103 @t102))) % 24.85/25.11 (assume-push @p246 @t103) % 24.85/25.11 (step @p129 :rule instantiate :premises (@p114) :args (@t97)) % 24.85/25.11 (step-pop @p247 :rule scope :premises (@p129)) % 24.85/25.11 (step @p130 :rule process_scope :premises (@p247) :args (@t102)) % 24.85/25.11 (step @p132 :rule eq_resolve :premises (@p130 @p127)) % 24.85/25.11 (step @p133 :rule implies_elim :premises (@p132)) % 24.85/25.11 (step @p134 :rule chain_m_resolution :premises (@p133 @p114) :args (@t104 @t105 (@list @t103))) % 24.85/25.11 (step @p135 :rule bool-double-not-elim :args (@t81)) % 24.85/25.11 (step @p136 :rule nary_cong :premises (@p72 @p135) :args ((or @t83 (not @t82)))) % 24.85/25.11 (step @p137 :rule cnf_or_neg :args (@t83 0)) % 24.85/25.11 (step @p138 :rule eq_resolve :premises (@p137 @p136)) % 24.85/25.11 (step @p139 :rule reordering :premises (@p138) :args ((or @t81 @t83))) % 24.85/25.11 (step @p140 :rule chain_m_resolution :premises (@p139 @p64) :args (@t81 @t84 @t85)) % 24.85/25.11 (step @p141 :rule cnf_or_pos :args (@t104)) % 24.85/25.11 (step @p142 :rule reordering :premises (@p141) :args ((or @t82 @t100 (not @t104)))) % 24.85/25.11 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p134) :args (@t100 @t93 (@list @t81 @t104))) % 24.85/25.11 (step @p144 :rule cnf_equiv_pos1 :args (@t109)) % 24.85/25.11 (step @p145 :rule reordering :premises (@p144) :args ((or (not @t100) @t108 (not @t109)))) % 24.85/25.11 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p102) :args (@t108 @t93 (@list @t100 @t109))) % 24.85/25.11 (step @p147 :rule cnf_and_pos :args (@t108 2)) % 24.85/25.11 (step @p148 :rule reordering :premises (@p147) :args ((or @t107 (not @t108)))) % 24.85/25.11 (step @p149 :rule chain_m_resolution :premises (@p148 @p146) :args (@t107 @t105 (@list @t108))) % 24.85/25.11 (step @p150 :rule instantiate :premises (@p8) :args ((@list @t65 @t63 @t77))) % 24.85/25.11 (step @p151 :rule instantiate :premises (@p8) :args ((@list @t65 @t63 tptp.zero))) % 24.85/25.11 (step @p152 :rule instantiate :premises (@p5) :args ((@list @t65 @t63 @t69))) % 24.85/25.11 (step @p153 :rule instantiate :premises (@p5) :args ((@list @t65 @t73 @t68))) % 24.85/25.11 (step @p154 :rule refl :args (@t114)) % 24.85/25.11 (step @p155 :rule refl :args (@t118)) % 24.85/25.11 (step @p156 :rule refl :args (@t123)) % 24.85/25.11 (step @p157 :rule refl :args (@t127)) % 24.85/25.11 (step @p158 :rule refl :args (@t128)) % 24.85/25.11 (step @p159 :rule refl :args (@t130)) % 24.85/25.11 (step @p160 :rule refl :args (@t132)) % 24.85/25.11 (step @p161 :rule refl :args (@t133)) % 24.85/25.11 (step @p162 :rule refl :args (@t135)) % 24.85/25.11 (step @p163 :rule refl :args (@t136)) % 24.85/25.11 (step @p164 :rule bool-double-not-elim :args (@t87)) % 24.85/25.11 (step @p165 :rule refl :args (@t138)) % 24.85/25.11 (step @p166 :rule refl :args (@t140)) % 24.85/25.11 (step @p167 :rule refl :args (@t142)) % 24.85/25.11 (step @p168 :rule refl :args (@t144)) % 24.85/25.11 (step @p169 :rule nary_cong :premises (@p168 @p167 @p166 @p165 @p164 @p163 @p162 @p161 @p160 @p159 @p158 @p157 @p156 @p155 @p154) :args ((or @t144 @t142 @t140 @t138 (not @t89) @t136 @t135 @t133 @t132 @t130 @t128 @t127 @t123 @t118 @t114))) % 24.85/25.11 (assume-push @p248 @t113) % 24.85/25.11 (assume-push @p249 @t114) % 24.85/25.11 (step @p172 :rule evaluate :args ((= false true))) % 24.85/25.11 (step @p173 :rule true_intro :premises (@p153)) % 24.85/25.11 (step @p174 :rule false_intro :premises (@p69)) % 24.85/25.11 (step @p175 :rule refl :args (@t68)) % 24.85/25.11 (step @p176 :rule refl :args (@t69)) % 24.85/25.11 (step @p177 :rule symm :premises (@p28)) % 24.85/25.11 (step @p178 :rule symm :premises (@p149)) % 24.85/25.11 (step @p179 :rule trans :premises (@p93 @p178)) % 24.85/25.11 (step @p180 :rule refl :args (@t65)) % 24.85/25.11 (step @p181 :rule cong :premises (@p180 @p179) :args (@t125)) % 24.85/25.11 (step @p182 :rule symm :premises (@p150)) % 24.85/25.11 (step @p183 :rule symm :premises (@p81)) % 24.85/25.11 (step @p184 :rule trans :premises (@p80 @p183)) % 24.85/25.11 (step @p185 :rule refl :args (@t115)) % 24.85/25.11 (step @p186 :rule cong :premises (@p185 @p184) :args (@t145)) % 24.85/25.11 (step @p187 :rule symm :premises (@p32)) % 24.85/25.11 (step @p188 :rule cong :premises (@p185 @p187) :args (@t120)) % 24.85/25.11 (step @p189 :rule cong :premises (@p180 @p24) :args (@t115)) % 24.85/25.11 (step @p190 :rule trans :premises (@p189 @p151 @p188 @p186 @p182 @p181 @p177)) % 24.85/25.11 (step @p191 :rule cong :premises (@p190 @p176) :args (@t116)) % 24.85/25.11 (step @p192 :rule trans :premises (@p152 @p191)) % 24.85/25.11 (step @p193 :rule cong :premises (@p192 @p175) :args (@t111)) % 24.85/25.11 (step @p194 :rule trans :premises (@p193 @p33)) % 24.85/25.11 (step @p195 :rule symm :premises (@p91)) % 24.85/25.11 (step @p196 :rule trans :premises (@p92 @p195)) % 24.85/25.11 (step @p197 :rule cong :premises (@p180 @p196) :args (@t112)) % 24.85/25.11 (step @p198 :rule trans :premises (@p197 @p187)) % 24.85/25.11 (step @p199 :rule cong :premises (@p198 @p194) :args (@t113)) % 24.85/25.11 (step @p200 :rule trans :premises (@p199 @p174)) % 24.85/25.11 (step @p201 :rule symm :premises (@p200)) % 24.85/25.11 (step @p202 :rule trans :premises (@p201 @p173)) % 24.85/25.11 (step @p203 false :rule eq_resolve :premises (@p202 @p172)) % 24.85/25.11 (step-pop @p250 :rule scope :premises (@p203)) % 24.85/25.11 (step-pop @p251 :rule scope :premises (@p250)) % 24.85/25.11 (step @p204 :rule process_scope :premises (@p251) :args (false)) % 24.85/25.11 (assume-push @p252 @t143) % 24.85/25.11 (assume-push @p253 @t141) % 24.85/25.11 (assume-push @p254 @t139) % 24.85/25.11 (assume-push @p255 @t137) % 24.85/25.11 (assume-push @p256 @t89) % 24.85/25.11 (assume-push @p257 @t91) % 24.85/25.11 (assume-push @p258 @t134) % 24.85/25.11 (assume-push @p259 @t95) % 24.85/25.11 (assume-push @p260 @t131) % 24.85/25.11 (assume-push @p261 @t129) % 24.85/25.11 (assume-push @p262 @t107) % 24.85/25.11 (assume-push @p263 @t126) % 24.85/25.11 (assume-push @p264 @t122) % 24.85/25.11 (assume-push @p265 @t117) % 24.85/25.11 (assume-push @p266 @t113) % 24.85/25.11 (step @p174 :rule false_intro :premises (@p69)) % 24.85/25.11 (step @p175 :rule refl :args (@t68)) % 24.85/25.11 (step @p176 :rule refl :args (@t69)) % 24.85/25.11 (step @p177 :rule symm :premises (@p28)) % 24.85/25.11 (step @p178 :rule symm :premises (@p149)) % 24.85/25.11 (step @p179 :rule trans :premises (@p93 @p178)) % 24.85/25.11 (step @p180 :rule refl :args (@t65)) % 24.85/25.11 (step @p181 :rule cong :premises (@p180 @p179) :args (@t125)) % 24.85/25.11 (step @p182 :rule symm :premises (@p150)) % 24.85/25.11 (step @p183 :rule symm :premises (@p81)) % 24.85/25.11 (step @p184 :rule trans :premises (@p80 @p183)) % 24.85/25.11 (step @p185 :rule refl :args (@t115)) % 24.85/25.11 (step @p186 :rule cong :premises (@p185 @p184) :args (@t145)) % 24.85/25.11 (step @p187 :rule symm :premises (@p32)) % 24.85/25.11 (step @p188 :rule cong :premises (@p185 @p187) :args (@t120)) % 24.85/25.11 (step @p189 :rule cong :premises (@p180 @p24) :args (@t115)) % 24.85/25.11 (step @p190 :rule trans :premises (@p189 @p151 @p188 @p186 @p182 @p181 @p177)) % 24.85/25.11 (step @p191 :rule cong :premises (@p190 @p176) :args (@t116)) % 24.85/25.11 (step @p192 :rule trans :premises (@p152 @p191)) % 24.85/25.11 (step @p193 :rule cong :premises (@p192 @p175) :args (@t111)) % 24.85/25.11 (step @p194 :rule trans :premises (@p193 @p33)) % 24.85/25.11 (step @p195 :rule symm :premises (@p91)) % 24.85/25.11 (step @p196 :rule trans :premises (@p92 @p195)) % 24.85/25.11 (step @p197 :rule cong :premises (@p180 @p196) :args (@t112)) % 24.85/25.11 (step @p198 :rule trans :premises (@p197 @p187)) % 24.85/25.11 (step @p199 :rule cong :premises (@p198 @p194) :args (@t113)) % 24.85/25.11 (step @p222 :rule trans :premises (@p199 @p174)) % 24.85/25.11 (step @p223 :rule false_elim :premises (@p222)) % 24.85/25.11 (step @p224 :rule and_intro :premises (@p153 @p223)) % 24.85/25.11 (step-pop @p267 :rule scope :premises (@p224)) % 24.85/25.11 (step-pop @p268 :rule scope :premises (@p267)) % 24.85/25.11 (step-pop @p269 :rule scope :premises (@p268)) % 24.85/25.11 (step-pop @p270 :rule scope :premises (@p269)) % 24.85/25.11 (step-pop @p271 :rule scope :premises (@p270)) % 24.85/25.11 (step-pop @p272 :rule scope :premises (@p271)) % 24.85/25.11 (step-pop @p273 :rule scope :premises (@p272)) % 24.85/25.11 (step-pop @p274 :rule scope :premises (@p273)) % 24.85/25.11 (step-pop @p275 :rule scope :premises (@p274)) % 24.85/25.11 (step-pop @p276 :rule scope :premises (@p275)) % 24.85/25.11 (step-pop @p277 :rule scope :premises (@p276)) % 24.85/25.11 (step-pop @p278 :rule scope :premises (@p277)) % 24.85/25.11 (step-pop @p279 :rule scope :premises (@p278)) % 24.85/25.11 (step-pop @p280 :rule scope :premises (@p279)) % 24.85/25.11 (step-pop @p281 :rule scope :premises (@p280)) % 24.85/25.11 (step @p225 :rule process_scope :premises (@p281) :args (@t146)) % 24.85/25.11 (step @p241 :rule implies_elim :premises (@p225)) % 24.85/25.11 (step @p242 :rule resolution :premises (@p241 @p204) :args (true @t146)) % 24.85/25.11 (step @p243 :rule not_and :premises (@p242)) % 24.85/25.11 (step @p244 :rule eq_resolve :premises (@p243 @p169)) % 24.85/25.11 (step @p245 false :rule chain_m_resolution :premises (@p244 @p153 @p152 @p151 @p150 @p149 @p93 @p92 @p91 @p81 @p80 @p69 @p33 @p32 @p28 @p24) :args (false (@list false false false false false false false false false false true false false false false) (@list @t113 @t117 @t122 @t126 @t107 @t129 @t131 @t95 @t134 @t91 @t87 @t137 @t139 @t141 @t143))) % 24.85/25.11 ) % 24.85/25.11 % SZS output end Proof % 24.85/25.11 % cvc5 exiting %------------------------------------------------------------------------------