%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE040+1 : 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 : n014.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 08:28:10 AM UTC 2026 % Result : Theorem 0.73s 1.02s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE040+1 : 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 % 0.19/0.35 % Computer : n014.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 05:11:28 EDT 2026 % 0.19/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.73/1.02 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.73/1.02 % SZS status Theorem % 0.73/1.02 % SZS output start Proof % 0.73/1.02 ( % 0.73/1.02 (declare-sort $$unsorted 0) % 0.73/1.02 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 0.73/1.02 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.73/1.02 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.73/1.02 (declare-const tptp.zero $$unsorted) % 0.73/1.02 (declare-const tptp.one $$unsorted) % 0.73/1.02 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.73/1.02 (define @t1 () (@var "A" $$unsorted)) % 0.73/1.02 (define @t2 () (@var "B" $$unsorted)) % 0.73/1.02 (define @t3 () (tptp.addition @t1 @t2)) % 0.73/1.02 (define @t4 () (@list @t1 @t2)) % 0.73/1.02 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.73/1.02 (define @t6 () (@var "C" $$unsorted)) % 0.73/1.02 (define @t7 () (tptp.addition @t2 @t6)) % 0.73/1.02 (define @t8 () (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 0.73/1.02 (define @t9 () (@list @t1)) % 0.73/1.02 (define @t10 () (tptp.addition @t1 @t1)) % 0.73/1.02 (define @t11 () (forall @t9 (= @t10 @t1))) % 0.73/1.02 (define @t12 () (tptp.multiplication @t1 @t2)) % 0.73/1.02 (define @t13 () (tptp.multiplication @t2 @t6)) % 0.73/1.02 (define @t14 () (@list @t1 @t2 @t6)) % 0.73/1.02 (define @t15 () (tptp.multiplication @t1 tptp.one)) % 0.73/1.02 (define @t16 () (forall @t9 (= @t15 @t1))) % 0.73/1.02 (define @t17 () (tptp.multiplication tptp.one @t1)) % 0.73/1.02 (define @t18 () (forall @t9 (= @t17 @t1))) % 0.73/1.02 (define @t19 () (tptp.multiplication @t1 @t6)) % 0.73/1.02 (define @t20 () (tptp.leq @t1 @t2)) % 0.73/1.02 (define @t21 () (= @t20 (= @t3 @t2))) % 0.73/1.02 (define @t22 () (forall @t4 @t21)) % 0.73/1.02 (define @t23 () (tptp.star @t1)) % 0.73/1.02 (define @t24 () (tptp.leq (tptp.multiplication @t23 @t6) @t2)) % 0.73/1.02 (define @t25 () (tptp.addition @t12 @t6)) % 0.73/1.02 (define @t26 () (tptp.leq @t25 @t2)) % 0.73/1.02 (define @t27 () (forall @t14 (=> @t26 @t24))) % 0.73/1.02 (define @t28 () (@var "X0" $$unsorted)) % 0.73/1.02 (define @t29 () (tptp.star @t28)) % 0.73/1.02 (define @t30 () (tptp.multiplication @t29 @t29)) % 0.73/1.02 (define @t31 () (@list @t28)) % 0.73/1.02 (define @t32 () (forall @t31 (= @t30 @t29))) % 0.73/1.02 (define @t33 () (not @t32)) % 0.73/1.02 (define @t34 () (@quantifiers_skolemize (forall @t31 (= @t29 @t30)) 0)) % 0.73/1.02 (define @t35 () (tptp.star @t34)) % 0.73/1.02 (define @t36 () (tptp.multiplication @t35 @t34)) % 0.73/1.02 (define @t37 () (tptp.addition tptp.one @t36)) % 0.73/1.02 (define @t38 () (@list @t37 @t35)) % 0.73/1.02 (define @t39 () (@list @t34)) % 0.73/1.02 (define @t40 () (tptp.addition @t37 @t35)) % 0.73/1.02 (define @t41 () (= @t35 @t40)) % 0.73/1.02 (define @t42 () (tptp.leq @t37 @t35)) % 0.73/1.02 (define @t43 () (= @t42 @t41)) % 0.73/1.02 (define @t44 () (@list false false)) % 0.73/1.02 (define @t45 () (tptp.addition @t36 @t35)) % 0.73/1.02 (define @t46 () (tptp.addition tptp.one @t45)) % 0.73/1.02 (define @t47 () (= @t46 @t40)) % 0.73/1.02 (define @t48 () (@list @t35 @t36 tptp.one)) % 0.73/1.02 (define @t49 () (= @t40 @t46)) % 0.73/1.02 (define @t50 () (@list false)) % 0.73/1.02 (define @t51 () (@list @t8)) % 0.73/1.02 (define @t52 () (tptp.addition @t36 @t37)) % 0.73/1.02 (define @t53 () (tptp.addition tptp.one @t52)) % 0.73/1.02 (define @t54 () (tptp.addition @t37 @t37)) % 0.73/1.02 (define @t55 () (= @t53 @t54)) % 0.73/1.02 (define @t56 () (@list @t37 @t36 tptp.one)) % 0.73/1.02 (define @t57 () (= @t54 @t53)) % 0.73/1.02 (define @t58 () (@list @t35)) % 0.73/1.02 (define @t59 () (tptp.multiplication @t35 tptp.one)) % 0.73/1.02 (define @t60 () (tptp.multiplication @t34 @t35)) % 0.73/1.02 (define @t61 () (tptp.addition @t60 tptp.one)) % 0.73/1.02 (define @t62 () (tptp.leq @t61 @t35)) % 0.73/1.02 (define @t63 () (tptp.leq @t59 @t35)) % 0.73/1.02 (define @t64 () (not @t62)) % 0.73/1.02 (define @t65 () (or @t64 @t63)) % 0.73/1.02 (define @t66 () (= @t35 (tptp.addition @t59 @t35))) % 0.73/1.02 (define @t67 () (= @t63 @t66)) % 0.73/1.02 (define @t68 () (tptp.addition tptp.one @t35)) % 0.73/1.02 (define @t69 () (tptp.addition @t35 tptp.one)) % 0.73/1.02 (define @t70 () (= @t68 @t69)) % 0.73/1.02 (define @t71 () (@list tptp.one @t35)) % 0.73/1.02 (define @t72 () (= @t69 @t68)) % 0.73/1.02 (define @t73 () (tptp.multiplication tptp.one @t35)) % 0.73/1.02 (define @t74 () (tptp.multiplication @t45 @t35)) % 0.73/1.02 (define @t75 () (tptp.multiplication @t35 @t45)) % 0.73/1.02 (define @t76 () (tptp.addition @t35 @t75)) % 0.73/1.02 (define @t77 () (tptp.addition tptp.one (tptp.addition @t36 @t36))) % 0.73/1.02 (define @t78 () (tptp.addition @t37 @t36)) % 0.73/1.02 (define @t79 () (= @t77 @t78)) % 0.73/1.02 (define @t80 () (@list @t36 @t36 tptp.one)) % 0.73/1.02 (define @t81 () (= @t78 @t77)) % 0.73/1.02 (define @t82 () (tptp.multiplication @t35 @t68)) % 0.73/1.02 (define @t83 () (tptp.addition tptp.one @t60)) % 0.73/1.02 (define @t84 () (= @t35 (tptp.addition @t83 @t35))) % 0.73/1.02 (define @t85 () (tptp.leq @t83 @t35)) % 0.73/1.02 (define @t86 () (= @t85 @t84)) % 0.73/1.02 (define @t87 () (tptp.leq (tptp.addition @t60 @t68) @t35)) % 0.73/1.02 (define @t88 () (tptp.leq @t82 @t35)) % 0.73/1.02 (define @t89 () (not @t87)) % 0.73/1.02 (define @t90 () (or @t89 @t88)) % 0.73/1.02 (define @t91 () (tptp.addition @t82 @t35)) % 0.73/1.02 (define @t92 () (= @t35 @t91)) % 0.73/1.02 (define @t93 () (= @t88 @t92)) % 0.73/1.02 (define @t94 () (not @t92)) % 0.73/1.02 (define @t95 () (not @t81)) % 0.73/1.02 (define @t96 () (tptp.addition @t52 @t35)) % 0.73/1.02 (define @t97 () (= @t96 (tptp.addition @t35 @t52))) % 0.73/1.02 (define @t98 () (not @t97)) % 0.73/1.02 (define @t99 () (tptp.addition @t73 @t76)) % 0.73/1.02 (define @t100 () (= @t99 (tptp.addition @t76 @t73))) % 0.73/1.02 (define @t101 () (not @t100)) % 0.73/1.02 (define @t102 () (tptp.multiplication @t73 @t34)) % 0.73/1.02 (define @t103 () (tptp.addition @t102 @t36)) % 0.73/1.02 (define @t104 () (tptp.addition @t73 @t35)) % 0.73/1.02 (define @t105 () (= (tptp.multiplication @t104 @t34) @t103)) % 0.73/1.02 (define @t106 () (not @t105)) % 0.73/1.02 (define @t107 () (tptp.addition @t104 tptp.one)) % 0.73/1.02 (define @t108 () (tptp.addition @t73 @t69)) % 0.73/1.02 (define @t109 () (= @t108 @t107)) % 0.73/1.02 (define @t110 () (not @t109)) % 0.73/1.02 (define @t111 () (tptp.addition @t104 @t74)) % 0.73/1.02 (define @t112 () (= (tptp.addition @t73 (tptp.addition @t35 @t74)) @t111)) % 0.73/1.02 (define @t113 () (not @t112)) % 0.73/1.02 (define @t114 () (tptp.addition @t53 @t35)) % 0.73/1.02 (define @t115 () (= (tptp.addition tptp.one @t96) @t114)) % 0.73/1.02 (define @t116 () (not @t115)) % 0.73/1.02 (define @t117 () (= @t52 @t78)) % 0.73/1.02 (define @t118 () (not @t117)) % 0.73/1.02 (define @t119 () (not @t72)) % 0.73/1.02 (define @t120 () (not @t66)) % 0.73/1.02 (define @t121 () (tptp.multiplication @t46 @t35)) % 0.73/1.02 (define @t122 () (= @t121 (tptp.addition @t73 @t74))) % 0.73/1.02 (define @t123 () (not @t122)) % 0.73/1.02 (define @t124 () (tptp.multiplication @t35 @t46)) % 0.73/1.02 (define @t125 () (= @t124 (tptp.addition @t59 @t75))) % 0.73/1.02 (define @t126 () (not @t125)) % 0.73/1.02 (define @t127 () (= @t35 @t73)) % 0.73/1.02 (define @t128 () (not @t127)) % 0.73/1.02 (define @t129 () (= @t35 @t59)) % 0.73/1.02 (define @t130 () (not @t129)) % 0.73/1.02 (define @t131 () (= @t37 @t54)) % 0.73/1.02 (define @t132 () (not @t131)) % 0.73/1.02 (define @t133 () (not @t57)) % 0.73/1.02 (define @t134 () (not @t49)) % 0.73/1.02 (define @t135 () (tptp.addition @t35 @t37)) % 0.73/1.02 (define @t136 () (= @t40 @t135)) % 0.73/1.02 (define @t137 () (not @t136)) % 0.73/1.02 (define @t138 () (not @t41)) % 0.73/1.02 (define @t139 () (tptp.multiplication @t35 @t35)) % 0.73/1.02 (define @t140 () (= @t35 @t139)) % 0.73/1.02 (define @t141 () (not @t140)) % 0.73/1.02 (define @t142 () (tptp.addition @t59 @t74)) % 0.73/1.02 (define @t143 () (and @t141 @t41 @t136 @t49 @t57 @t131 @t129 @t127 @t125 @t122 @t66 @t72 @t117 @t115 @t112 @t109 @t105 @t100 @t97 @t81)) % 0.73/1.02 (assume @p1 @t5) % 0.73/1.02 (assume @p2 @t8) % 0.73/1.02 (assume @p3 (forall @t9 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.73/1.02 (assume @p4 @t11) % 0.73/1.02 (assume @p5 (forall @t14 (= (tptp.multiplication @t1 @t13) (tptp.multiplication @t12 @t6)))) % 0.73/1.02 (assume @p6 @t16) % 0.73/1.02 (assume @p7 @t18) % 0.73/1.02 (assume @p8 (forall @t14 (= (tptp.multiplication @t1 @t7) (tptp.addition @t12 @t19)))) % 0.73/1.02 (assume @p9 (forall @t14 (= (tptp.multiplication @t3 @t6) (tptp.addition @t19 @t13)))) % 0.73/1.02 (assume @p10 (forall @t9 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.73/1.02 (assume @p11 (forall @t9 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.73/1.02 (assume @p12 @t22) % 0.73/1.02 (assume @p13 (forall @t9 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t1 @t23)) @t23))) % 0.73/1.02 (assume @p14 (forall @t9 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t23 @t1)) @t23))) % 0.73/1.02 (assume @p15 @t27) % 0.73/1.02 (assume @p16 (forall @t14 (=> (tptp.leq @t25 @t1) (tptp.leq (tptp.multiplication @t6 (tptp.star @t2)) @t1)))) % 0.73/1.02 (assume @p17 @t33) % 0.73/1.02 (assume @p18 true) % 0.73/1.02 (step @p19 :rule eq-symm :args (@t30 @t29)) % 0.73/1.02 (step @p20 :rule cong :premises (@p19) :args (@t32)) % 0.73/1.02 (step @p21 :rule cong :premises (@p20) :args (@t33)) % 0.73/1.02 (step @p22 :rule eq_resolve :premises (@p17 @p21)) % 0.73/1.02 (step @p23 :rule skolemize :premises (@p22)) % 0.73/1.02 (step @p24 :rule eq-symm :args (@t3 @t2)) % 0.73/1.02 (step @p25 :rule refl :args (@t20)) % 0.73/1.02 (step @p26 :rule cong :premises (@p25 @p24) :args (@t21)) % 0.73/1.02 (step @p27 :rule cong :premises (@p26) :args (@t22)) % 0.73/1.02 (step @p28 :rule eq_resolve :premises (@p12 @p27)) % 0.73/1.02 (step @p29 :rule instantiate :premises (@p28) :args (@t38)) % 0.73/1.02 (step @p30 :rule instantiate :premises (@p14) :args (@t39)) % 0.73/1.02 (step @p31 :rule cnf_equiv_pos1 :args (@t43)) % 0.73/1.02 (step @p32 :rule reordering :premises (@p31) :args ((or (not @t42) @t41 (not @t43)))) % 0.73/1.02 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p29) :args (@t41 @t44 (@list @t42 @t43))) % 0.73/1.02 (step @p34 :rule instantiate :premises (@p1) :args (@t38)) % 0.73/1.02 (step @p35 :rule eq-symm :args (@t46 @t40)) % 0.73/1.02 (step @p36 :rule refl :args (@t8)) % 0.73/1.02 (step @p37 :rule cong :premises (@p36 @p35) :args ((=> @t8 @t47))) % 0.73/1.02 (assume-push @p266 @t8) % 0.73/1.02 (step @p39 :rule instantiate :premises (@p2) :args (@t48)) % 0.73/1.02 (step-pop @p267 :rule scope :premises (@p39)) % 0.73/1.02 (step @p40 :rule process_scope :premises (@p267) :args (@t47)) % 0.73/1.02 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 0.73/1.02 (step @p43 :rule implies_elim :premises (@p42)) % 0.73/1.02 (step @p44 :rule chain_m_resolution :premises (@p43 @p2) :args (@t49 @t50 @t51)) % 0.73/1.02 (step @p45 :rule eq-symm :args (@t53 @t54)) % 0.73/1.02 (step @p46 :rule cong :premises (@p36 @p45) :args ((=> @t8 @t55))) % 0.73/1.02 (assume-push @p268 @t8) % 0.73/1.02 (step @p48 :rule instantiate :premises (@p2) :args (@t56)) % 0.73/1.02 (step-pop @p269 :rule scope :premises (@p48)) % 0.73/1.02 (step @p49 :rule process_scope :premises (@p269) :args (@t55)) % 0.73/1.02 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 0.73/1.02 (step @p52 :rule implies_elim :premises (@p51)) % 0.73/1.02 (step @p53 :rule chain_m_resolution :premises (@p52 @p2) :args (@t57 @t50 @t51)) % 0.73/1.02 (step @p54 :rule eq-symm :args (@t10 @t1)) % 0.73/1.02 (step @p55 :rule cong :premises (@p54) :args (@t11)) % 0.73/1.02 (step @p56 :rule eq_resolve :premises (@p4 @p55)) % 0.73/1.02 (step @p57 :rule instantiate :premises (@p56) :args ((@list @t37))) % 0.73/1.02 (step @p58 :rule eq-symm :args (@t15 @t1)) % 0.73/1.02 (step @p59 :rule cong :premises (@p58) :args (@t16)) % 0.73/1.02 (step @p60 :rule eq_resolve :premises (@p6 @p59)) % 0.73/1.02 (step @p61 :rule instantiate :premises (@p60) :args (@t58)) % 0.73/1.02 (step @p62 :rule eq-symm :args (@t17 @t1)) % 0.73/1.02 (step @p63 :rule cong :premises (@p62) :args (@t18)) % 0.73/1.02 (step @p64 :rule eq_resolve :premises (@p7 @p63)) % 0.73/1.02 (step @p65 :rule instantiate :premises (@p64) :args (@t58)) % 0.73/1.02 (step @p66 :rule instantiate :premises (@p8) :args ((@list @t35 tptp.one @t45))) % 0.73/1.02 (step @p67 :rule instantiate :premises (@p9) :args ((@list tptp.one @t45 @t35))) % 0.73/1.02 (step @p68 :rule instantiate :premises (@p28) :args ((@list @t59 @t35))) % 0.73/1.02 (step @p69 :rule bool-impl-elim :args (@t26 @t24)) % 0.73/1.02 (step @p70 :rule cong :premises (@p69) :args (@t27)) % 0.73/1.02 (step @p71 :rule eq_resolve :premises (@p15 @p70)) % 0.73/1.02 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t34 @t35 tptp.one))) % 0.73/1.02 (step @p73 :rule instantiate :premises (@p13) :args (@t39)) % 0.73/1.02 (step @p74 :rule true_intro :premises (@p73)) % 0.73/1.02 (step @p75 :rule refl :args (@t35)) % 0.73/1.02 (step @p76 :rule instantiate :premises (@p1) :args ((@list tptp.one @t60))) % 0.73/1.02 (step @p77 :rule symm :premises (@p76)) % 0.73/1.02 (step @p78 :rule cong :premises (@p77 @p75) :args (@t62)) % 0.73/1.02 (step @p79 :rule trans :premises (@p78 @p74)) % 0.73/1.02 (step @p80 :rule true_elim :premises (@p79)) % 0.73/1.02 (step @p81 :rule cnf_or_pos :args (@t65)) % 0.73/1.02 (step @p82 :rule reordering :premises (@p81) :args ((or @t64 @t63 (not @t65)))) % 0.73/1.02 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p72) :args (@t63 @t44 (@list @t62 @t65))) % 0.73/1.02 (step @p84 :rule cnf_equiv_pos1 :args (@t67)) % 0.73/1.02 (step @p85 :rule reordering :premises (@p84) :args ((or (not @t63) @t66 (not @t67)))) % 0.73/1.02 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p68) :args (@t66 @t44 (@list @t63 @t67))) % 0.73/1.02 (step @p87 :rule eq-symm :args (@t68 @t69)) % 0.73/1.02 (step @p88 :rule refl :args (@t5)) % 0.73/1.02 (step @p89 :rule cong :premises (@p88 @p87) :args ((=> @t5 @t70))) % 0.73/1.02 (assume-push @p270 @t5) % 0.73/1.02 (step @p91 :rule instantiate :premises (@p1) :args (@t71)) % 0.73/1.02 (step-pop @p271 :rule scope :premises (@p91)) % 0.73/1.02 (step @p92 :rule process_scope :premises (@p271) :args (@t70)) % 0.73/1.02 (step @p94 :rule eq_resolve :premises (@p92 @p89)) % 0.73/1.02 (step @p95 :rule implies_elim :premises (@p94)) % 0.73/1.02 (step @p96 :rule chain_m_resolution :premises (@p95 @p1) :args (@t72 @t50 (@list @t5))) % 0.73/1.02 (step @p97 :rule instantiate :premises (@p1) :args ((@list @t36 @t37))) % 0.73/1.02 (step @p98 :rule instantiate :premises (@p2) :args ((@list @t35 @t52 tptp.one))) % 0.73/1.02 (step @p99 :rule instantiate :premises (@p2) :args ((@list @t74 @t35 @t73))) % 0.73/1.02 (step @p100 :rule instantiate :premises (@p2) :args ((@list tptp.one @t35 @t73))) % 0.73/1.02 (step @p101 :rule instantiate :premises (@p9) :args ((@list @t73 @t35 @t34))) % 0.73/1.02 (step @p102 :rule instantiate :premises (@p1) :args ((@list @t73 @t76))) % 0.73/1.02 (step @p103 :rule instantiate :premises (@p1) :args ((@list @t52 @t35))) % 0.73/1.02 (step @p104 :rule eq-symm :args (@t77 @t78)) % 0.73/1.02 (step @p105 :rule cong :premises (@p36 @p104) :args ((=> @t8 @t79))) % 0.73/1.02 (assume-push @p272 @t8) % 0.73/1.02 (step @p107 :rule instantiate :premises (@p2) :args (@t80)) % 0.73/1.02 (step-pop @p273 :rule scope :premises (@p107)) % 0.73/1.02 (step @p108 :rule process_scope :premises (@p273) :args (@t79)) % 0.73/1.02 (step @p110 :rule eq_resolve :premises (@p108 @p105)) % 0.73/1.02 (step @p111 :rule implies_elim :premises (@p110)) % 0.73/1.02 (step @p112 :rule chain_m_resolution :premises (@p111 @p2) :args (@t81 @t50 @t51)) % 0.73/1.02 (step @p113 :rule instantiate :premises (@p28) :args ((@list @t82 @t35))) % 0.73/1.02 (step @p114 :rule instantiate :premises (@p71) :args ((@list @t34 @t35 @t68))) % 0.73/1.02 (step @p115 :rule true_intro :premises (@p83)) % 0.73/1.02 (step @p116 :rule instantiate :premises (@p28) :args ((@list @t83 @t35))) % 0.73/1.02 (step @p117 :rule cnf_equiv_pos1 :args (@t86)) % 0.73/1.02 (step @p118 :rule reordering :premises (@p117) :args ((or (not @t85) @t84 (not @t86)))) % 0.73/1.02 (step @p119 :rule chain_m_resolution :premises (@p118 @p73 @p116) :args (@t84 @t44 (@list @t85 @t86))) % 0.73/1.02 (step @p120 :rule symm :premises (@p119)) % 0.73/1.02 (step @p121 :rule cong :premises (@p77 @p75) :args ((tptp.addition @t61 @t35))) % 0.73/1.02 (step @p122 :rule instantiate :premises (@p2) :args ((@list @t35 tptp.one @t60))) % 0.73/1.02 (step @p123 :rule trans :premises (@p122 @p121 @p120)) % 0.73/1.02 (step @p124 :rule trans :premises (@p123 @p61)) % 0.73/1.02 (step @p125 :rule cong :premises (@p124 @p75) :args (@t87)) % 0.73/1.02 (step @p126 :rule trans :premises (@p125 @p115)) % 0.73/1.02 (step @p127 :rule true_elim :premises (@p126)) % 0.73/1.02 (step @p128 :rule cnf_or_pos :args (@t90)) % 0.73/1.02 (step @p129 :rule reordering :premises (@p128) :args ((or @t89 @t88 (not @t90)))) % 0.73/1.02 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p114) :args (@t88 @t44 (@list @t87 @t90))) % 0.73/1.02 (step @p131 :rule cnf_equiv_pos1 :args (@t93)) % 0.73/1.02 (step @p132 :rule reordering :premises (@p131) :args ((or (not @t88) @t92 (not @t93)))) % 0.73/1.02 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p113) :args (@t92 @t44 (@list @t88 @t93))) % 0.73/1.02 (step @p134 :rule refl :args (@t94)) % 0.73/1.02 (step @p135 :rule refl :args (@t95)) % 0.73/1.02 (step @p136 :rule refl :args (@t98)) % 0.73/1.02 (step @p137 :rule refl :args (@t101)) % 0.73/1.02 (step @p138 :rule refl :args (@t106)) % 0.73/1.02 (step @p139 :rule refl :args (@t110)) % 0.73/1.02 (step @p140 :rule refl :args (@t113)) % 0.73/1.02 (step @p141 :rule refl :args (@t116)) % 0.73/1.02 (step @p142 :rule refl :args (@t118)) % 0.73/1.02 (step @p143 :rule refl :args (@t119)) % 0.73/1.02 (step @p144 :rule refl :args (@t120)) % 0.73/1.02 (step @p145 :rule refl :args (@t123)) % 0.73/1.02 (step @p146 :rule refl :args (@t126)) % 0.73/1.02 (step @p147 :rule refl :args (@t128)) % 0.73/1.02 (step @p148 :rule refl :args (@t130)) % 0.73/1.02 (step @p149 :rule refl :args (@t132)) % 0.73/1.02 (step @p150 :rule refl :args (@t133)) % 0.73/1.02 (step @p151 :rule refl :args (@t134)) % 0.73/1.02 (step @p152 :rule refl :args (@t137)) % 0.73/1.02 (step @p153 :rule refl :args (@t138)) % 0.73/1.02 (step @p154 :rule bool-double-not-elim :args (@t140)) % 0.73/1.02 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152 @p151 @p150 @p149 @p148 @p147 @p146 @p145 @p144 @p143 @p142 @p141 @p140 @p139 @p138 @p137 @p136 @p135 @p134) :args ((or (not @t141) @t138 @t137 @t134 @t133 @t132 @t130 @t128 @t126 @t123 @t120 @t119 @t118 @t116 @t113 @t110 @t106 @t101 @t98 @t95 @t94))) % 0.73/1.02 (assume-push @p274 @t141) % 0.73/1.02 (assume-push @p275 @t41) % 0.73/1.02 (assume-push @p276 @t136) % 0.73/1.02 (assume-push @p277 @t49) % 0.73/1.02 (assume-push @p278 @t57) % 0.73/1.02 (assume-push @p279 @t131) % 0.73/1.02 (assume-push @p280 @t129) % 0.73/1.02 (assume-push @p281 @t127) % 0.73/1.02 (assume-push @p282 @t125) % 0.73/1.02 (assume-push @p283 @t122) % 0.73/1.02 (assume-push @p284 @t66) % 0.73/1.02 (assume-push @p285 @t72) % 0.73/1.02 (assume-push @p286 @t117) % 0.73/1.02 (assume-push @p287 @t115) % 0.73/1.02 (assume-push @p288 @t112) % 0.73/1.02 (assume-push @p289 @t109) % 0.73/1.02 (assume-push @p290 @t105) % 0.73/1.02 (assume-push @p291 @t100) % 0.73/1.02 (assume-push @p292 @t97) % 0.73/1.02 (assume-push @p293 @t81) % 0.73/1.02 (step @p176 :rule false_intro :premises (@p23)) % 0.73/1.02 (step @p177 :rule symm :premises (@p33)) % 0.73/1.02 (step @p39 :rule instantiate :premises (@p2) :args (@t48)) % 0.73/1.02 (step @p178 :rule trans :premises (@p39 @p177)) % 0.73/1.02 (step @p179 :rule cong :premises (@p178 @p75) :args (@t121)) % 0.73/1.02 (step @p180 :rule symm :premises (@p67)) % 0.73/1.02 (step @p181 :rule refl :args (@t74)) % 0.73/1.02 (step @p182 :rule symm :premises (@p61)) % 0.73/1.02 (step @p183 :rule trans :premises (@p182 @p65)) % 0.73/1.02 (step @p184 :rule cong :premises (@p183 @p181) :args (@t142)) % 0.73/1.02 (step @p185 :rule symm :premises (@p86)) % 0.73/1.02 (step @p186 :rule symm :premises (@p183)) % 0.73/1.02 (step @p187 :rule cong :premises (@p186 @p75) :args (@t104)) % 0.73/1.02 (step @p188 :rule trans :premises (@p187 @p185)) % 0.73/1.02 (step @p189 :rule trans :premises (@p188 @p61)) % 0.73/1.02 (step @p190 :rule cong :premises (@p189 @p181) :args (@t111)) % 0.73/1.02 (step @p191 :rule cong :premises (@p182 @p181) :args (@t142)) % 0.73/1.02 (step @p192 :rule symm :premises (@p184)) % 0.73/1.02 (step @p193 :rule symm :premises (@p179)) % 0.73/1.02 (step @p194 :rule cong :premises (@p75 @p178) :args (@t124)) % 0.73/1.02 (step @p195 :rule symm :premises (@p66)) % 0.73/1.02 (step @p196 :rule refl :args (@t75)) % 0.73/1.02 (step @p197 :rule cong :premises (@p186 @p196) :args ((tptp.addition @t73 @t75))) % 0.73/1.02 (step @p198 :rule cong :premises (@p65 @p196) :args (@t76)) % 0.73/1.02 (step @p199 :rule trans :premises (@p198 @p197 @p195 @p194 @p193 @p67 @p192 @p191)) % 0.73/1.02 (step @p200 :rule refl :args (@t73)) % 0.73/1.02 (step @p201 :rule cong :premises (@p200 @p199) :args (@t99)) % 0.73/1.02 (step @p202 :rule symm :premises (@p102)) % 0.73/1.02 (step @p203 :rule symm :premises (@p198)) % 0.73/1.02 (step @p204 :rule symm :premises (@p197)) % 0.73/1.02 (step @p205 :rule symm :premises (@p194)) % 0.73/1.02 (step @p206 :rule trans :premises (@p205 @p66 @p204 @p203)) % 0.73/1.02 (step @p207 :rule cong :premises (@p206 @p65) :args ((tptp.addition @t139 @t35))) % 0.73/1.02 (step @p208 :rule symm :premises (@p57)) % 0.73/1.02 (step @p48 :rule instantiate :premises (@p2) :args (@t56)) % 0.73/1.02 (step @p209 :rule trans :premises (@p48 @p208)) % 0.73/1.02 (step @p210 :rule cong :premises (@p209 @p75) :args (@t114)) % 0.73/1.02 (step @p211 :rule symm :premises (@p103)) % 0.73/1.02 (step @p212 :rule symm :premises (@p97)) % 0.73/1.02 (step @p107 :rule instantiate :premises (@p2) :args (@t80)) % 0.73/1.02 (step @p213 :rule refl :args (@t36)) % 0.73/1.02 (step @p214 :rule refl :args (@t34)) % 0.73/1.02 (step @p215 :rule symm :premises (@p65)) % 0.73/1.02 (step @p216 :rule cong :premises (@p215 @p214) :args (@t102)) % 0.73/1.02 (step @p217 :rule cong :premises (@p216 @p213) :args (@t103)) % 0.73/1.02 (step @p218 :rule symm :premises (@p188)) % 0.73/1.02 (step @p219 :rule cong :premises (@p218 @p214) :args (@t36)) % 0.73/1.02 (step @p220 :rule trans :premises (@p219 @p101 @p217)) % 0.73/1.02 (step @p221 :rule refl :args (tptp.one)) % 0.73/1.02 (step @p222 :rule cong :premises (@p221 @p220) :args (@t37)) % 0.73/1.02 (step @p223 :rule trans :premises (@p222 @p107 @p212)) % 0.73/1.02 (step @p224 :rule cong :premises (@p75 @p223) :args (@t135)) % 0.73/1.02 (step @p225 :rule trans :premises (@p33 @p34 @p224 @p211)) % 0.73/1.02 (step @p226 :rule cong :premises (@p221 @p225) :args (@t68)) % 0.73/1.02 (step @p227 :rule cong :premises (@p188 @p221) :args (@t107)) % 0.73/1.02 (step @p228 :rule trans :premises (@p100 @p227 @p96 @p226 @p98 @p210 @p177)) % 0.73/1.02 (step @p229 :rule cong :premises (@p75 @p228) :args ((tptp.multiplication @t35 @t108))) % 0.73/1.02 (step @p230 :rule symm :premises (@p100)) % 0.73/1.02 (step @p231 :rule symm :premises (@p227)) % 0.73/1.02 (step @p91 :rule instantiate :premises (@p1) :args (@t71)) % 0.73/1.02 (step @p232 :rule trans :premises (@p91 @p231 @p230)) % 0.73/1.02 (step @p233 :rule cong :premises (@p75 @p232) :args (@t82)) % 0.73/1.02 (step @p234 :rule trans :premises (@p233 @p229)) % 0.73/1.02 (step @p235 :rule cong :premises (@p234 @p75) :args (@t91)) % 0.73/1.02 (step @p236 :rule trans :premises (@p235 @p207 @p202 @p201 @p99 @p190 @p184 @p180 @p179)) % 0.73/1.02 (step @p237 :rule cong :premises (@p75 @p236) :args (@t92)) % 0.73/1.02 (step @p238 :rule trans :premises (@p237 @p176)) % 0.73/1.02 (step @p239 :rule false_elim :premises (@p238)) % 0.73/1.02 (step-pop @p294 :rule scope :premises (@p239)) % 0.73/1.02 (step-pop @p295 :rule scope :premises (@p294)) % 0.73/1.02 (step-pop @p296 :rule scope :premises (@p295)) % 0.73/1.02 (step-pop @p297 :rule scope :premises (@p296)) % 0.73/1.02 (step-pop @p298 :rule scope :premises (@p297)) % 0.73/1.02 (step-pop @p299 :rule scope :premises (@p298)) % 0.73/1.02 (step-pop @p300 :rule scope :premises (@p299)) % 0.73/1.02 (step-pop @p301 :rule scope :premises (@p300)) % 0.73/1.02 (step-pop @p302 :rule scope :premises (@p301)) % 0.73/1.02 (step-pop @p303 :rule scope :premises (@p302)) % 0.73/1.02 (step-pop @p304 :rule scope :premises (@p303)) % 0.73/1.02 (step-pop @p305 :rule scope :premises (@p304)) % 0.73/1.02 (step-pop @p306 :rule scope :premises (@p305)) % 0.73/1.02 (step-pop @p307 :rule scope :premises (@p306)) % 0.73/1.02 (step-pop @p308 :rule scope :premises (@p307)) % 0.73/1.02 (step-pop @p309 :rule scope :premises (@p308)) % 0.73/1.02 (step-pop @p310 :rule scope :premises (@p309)) % 0.73/1.02 (step-pop @p311 :rule scope :premises (@p310)) % 0.73/1.02 (step-pop @p312 :rule scope :premises (@p311)) % 0.73/1.02 (step-pop @p313 :rule scope :premises (@p312)) % 0.73/1.02 (step @p240 :rule process_scope :premises (@p313) :args (@t94)) % 0.73/1.02 (step @p261 :rule implies_elim :premises (@p240)) % 0.36/1.03 (step @p262 :rule cnf_and_neg :args (@t143)) % 0.36/1.03 (step @p263 :rule resolution :premises (@p262 @p261) :args (true @t143)) % 0.36/1.03 (step @p264 :rule eq_resolve :premises (@p263 @p155)) % 0.36/1.03 (step @p265 false :rule chain_m_resolution :premises (@p264 @p133 @p112 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p86 @p67 @p66 @p65 @p61 @p57 @p53 @p44 @p34 @p33 @p23) :args (false (@list false false false false false false false false false false false false false false false false false false false false true) (@list @t92 @t81 @t97 @t100 @t105 @t109 @t112 @t115 @t117 @t72 @t66 @t122 @t125 @t127 @t129 @t131 @t57 @t49 @t136 @t41 @t140))) % 0.36/1.03 ) % 0.36/1.03 % SZS output end Proof % 0.36/1.03 % cvc5 exiting %------------------------------------------------------------------------------