%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE039+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 : n021.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 0.97s 1.13s % Output : Proof 0.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE039+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 05:12:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.97/1.13 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.97/1.13 % SZS status Theorem % 0.97/1.13 % SZS output start Proof % 0.97/1.13 ( % 0.97/1.13 (declare-sort $$unsorted 0) % 0.97/1.13 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 0.97/1.13 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.97/1.13 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.97/1.13 (declare-const tptp.zero $$unsorted) % 0.97/1.13 (declare-const tptp.one $$unsorted) % 0.97/1.13 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.97/1.13 (define @t1 () (@var "A" $$unsorted)) % 0.97/1.13 (define @t2 () (@var "B" $$unsorted)) % 0.97/1.13 (define @t3 () (tptp.addition @t1 @t2)) % 0.97/1.13 (define @t4 () (@list @t1 @t2)) % 0.97/1.13 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.97/1.13 (define @t6 () (@var "C" $$unsorted)) % 0.97/1.13 (define @t7 () (tptp.addition @t2 @t6)) % 0.97/1.13 (define @t8 () (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 0.97/1.13 (define @t9 () (@list @t1)) % 0.97/1.13 (define @t10 () (tptp.addition @t1 @t1)) % 0.97/1.13 (define @t11 () (forall @t9 (= @t10 @t1))) % 0.97/1.13 (define @t12 () (tptp.multiplication @t1 @t2)) % 0.97/1.13 (define @t13 () (tptp.multiplication @t2 @t6)) % 0.97/1.13 (define @t14 () (@list @t1 @t2 @t6)) % 0.97/1.13 (define @t15 () (tptp.multiplication @t1 tptp.one)) % 0.97/1.13 (define @t16 () (forall @t9 (= @t15 @t1))) % 0.97/1.13 (define @t17 () (tptp.multiplication tptp.one @t1)) % 0.97/1.13 (define @t18 () (forall @t9 (= @t17 @t1))) % 0.97/1.13 (define @t19 () (tptp.multiplication @t1 @t6)) % 0.97/1.13 (define @t20 () (tptp.leq @t1 @t2)) % 0.97/1.13 (define @t21 () (= @t20 (= @t3 @t2))) % 0.97/1.13 (define @t22 () (forall @t4 @t21)) % 0.97/1.13 (define @t23 () (tptp.star @t1)) % 0.97/1.13 (define @t24 () (tptp.leq (tptp.multiplication @t23 @t6) @t2)) % 0.97/1.13 (define @t25 () (tptp.addition @t12 @t6)) % 0.97/1.13 (define @t26 () (tptp.leq @t25 @t2)) % 0.97/1.13 (define @t27 () (forall @t14 (=> @t26 @t24))) % 0.97/1.13 (define @t28 () (@var "X0" $$unsorted)) % 0.97/1.13 (define @t29 () (tptp.star @t28)) % 0.97/1.13 (define @t30 () (tptp.star @t29)) % 0.97/1.13 (define @t31 () (@list @t28)) % 0.97/1.13 (define @t32 () (forall @t31 (= @t30 @t29))) % 0.97/1.13 (define @t33 () (not @t32)) % 0.97/1.13 (define @t34 () (@quantifiers_skolemize (forall @t31 (= @t29 @t30)) 0)) % 0.97/1.13 (define @t35 () (tptp.star @t34)) % 0.97/1.13 (define @t36 () (@list @t34)) % 0.97/1.13 (define @t37 () (tptp.multiplication @t34 @t35)) % 0.97/1.13 (define @t38 () (tptp.addition @t37 tptp.one)) % 0.97/1.13 (define @t39 () (tptp.leq @t38 @t35)) % 0.97/1.13 (define @t40 () (tptp.multiplication @t35 tptp.one)) % 0.97/1.13 (define @t41 () (tptp.leq @t40 @t35)) % 0.97/1.13 (define @t42 () (not @t39)) % 0.97/1.13 (define @t43 () (or @t42 @t41)) % 0.97/1.13 (define @t44 () (@list false false)) % 0.97/1.13 (define @t45 () (tptp.multiplication @t35 @t34)) % 0.97/1.13 (define @t46 () (tptp.addition tptp.one @t45)) % 0.97/1.13 (define @t47 () (@list @t46 @t35)) % 0.97/1.13 (define @t48 () (tptp.addition @t46 @t35)) % 0.97/1.13 (define @t49 () (= @t35 @t48)) % 0.97/1.13 (define @t50 () (tptp.leq @t46 @t35)) % 0.97/1.13 (define @t51 () (= @t50 @t49)) % 0.97/1.13 (define @t52 () (tptp.addition @t45 @t46)) % 0.97/1.13 (define @t53 () (tptp.addition tptp.one @t52)) % 0.97/1.13 (define @t54 () (tptp.addition @t45 tptp.one)) % 0.97/1.13 (define @t55 () (@list @t35)) % 0.97/1.13 (define @t56 () (tptp.multiplication tptp.one @t35)) % 0.97/1.13 (define @t57 () (tptp.multiplication @t56 @t34)) % 0.97/1.13 (define @t58 () (tptp.addition tptp.one @t57)) % 0.97/1.13 (define @t59 () (= @t35 (tptp.addition @t40 @t35))) % 0.97/1.13 (define @t60 () (= @t41 @t59)) % 0.97/1.13 (define @t61 () (tptp.addition @t56 @t35)) % 0.97/1.13 (define @t62 () (tptp.addition tptp.one @t35)) % 0.97/1.13 (define @t63 () (tptp.multiplication @t35 @t62)) % 0.97/1.13 (define @t64 () (tptp.addition tptp.one @t37)) % 0.97/1.13 (define @t65 () (= @t35 (tptp.addition @t64 @t35))) % 0.97/1.13 (define @t66 () (tptp.leq @t64 @t35)) % 0.97/1.13 (define @t67 () (= @t66 @t65)) % 0.97/1.13 (define @t68 () (tptp.leq (tptp.addition @t37 @t62) @t35)) % 0.97/1.13 (define @t69 () (tptp.leq @t63 @t35)) % 0.97/1.13 (define @t70 () (not @t68)) % 0.97/1.13 (define @t71 () (or @t70 @t69)) % 0.97/1.13 (define @t72 () (= @t35 (tptp.addition @t63 @t35))) % 0.97/1.13 (define @t73 () (= @t69 @t72)) % 0.97/1.13 (define @t74 () (tptp.addition @t35 tptp.one)) % 0.97/1.13 (define @t75 () (= @t62 @t74)) % 0.97/1.13 (define @t76 () (@list tptp.one @t35)) % 0.97/1.13 (define @t77 () (@list false)) % 0.97/1.13 (define @t78 () (@list @t5)) % 0.97/1.13 (define @t79 () (tptp.multiplication @t35 @t35)) % 0.97/1.13 (define @t80 () (tptp.addition @t79 @t35)) % 0.97/1.13 (define @t81 () (tptp.multiplication @t62 @t35)) % 0.97/1.13 (define @t82 () (tptp.addition @t46 @t46)) % 0.97/1.13 (define @t83 () (tptp.addition @t45 @t35)) % 0.97/1.13 (define @t84 () (tptp.addition tptp.one @t83)) % 0.97/1.13 (define @t85 () (tptp.addition @t82 tptp.one)) % 0.97/1.13 (define @t86 () (tptp.multiplication @t83 @t34)) % 0.97/1.13 (define @t87 () (tptp.multiplication tptp.one @t34)) % 0.97/1.13 (define @t88 () (= @t53 @t82)) % 0.97/1.13 (define @t89 () (@list @t8)) % 0.97/1.13 (define @t90 () (tptp.addition @t81 @t83)) % 0.97/1.13 (define @t91 () (tptp.leq @t80 @t35)) % 0.97/1.13 (define @t92 () (tptp.star @t35)) % 0.97/1.13 (define @t93 () (tptp.multiplication @t92 @t35)) % 0.97/1.13 (define @t94 () (@list @t93 @t35)) % 0.97/1.13 (define @t95 () (tptp.addition tptp.one @t93)) % 0.97/1.13 (define @t96 () (tptp.addition @t95 @t92)) % 0.97/1.13 (define @t97 () (= @t92 @t96)) % 0.97/1.13 (define @t98 () (tptp.leq @t95 @t92)) % 0.97/1.13 (define @t99 () (= @t98 @t97)) % 0.97/1.13 (define @t100 () (tptp.multiplication @t92 @t83)) % 0.97/1.13 (define @t101 () (@list @t92)) % 0.97/1.13 (define @t102 () (tptp.addition @t92 @t100)) % 0.97/1.13 (define @t103 () (tptp.multiplication tptp.one @t92)) % 0.97/1.13 (define @t104 () (tptp.multiplication @t92 tptp.one)) % 0.97/1.13 (define @t105 () (tptp.addition @t104 @t92)) % 0.97/1.13 (define @t106 () (tptp.multiplication @t35 @t92)) % 0.97/1.13 (define @t107 () (tptp.addition @t106 tptp.one)) % 0.97/1.13 (define @t108 () (tptp.leq @t107 @t92)) % 0.97/1.13 (define @t109 () (tptp.leq @t104 @t92)) % 0.97/1.13 (define @t110 () (not @t108)) % 0.97/1.13 (define @t111 () (or @t110 @t109)) % 0.97/1.13 (define @t112 () (= @t92 @t105)) % 0.97/1.13 (define @t113 () (= @t109 @t112)) % 0.97/1.13 (define @t114 () (tptp.addition @t93 @t92)) % 0.97/1.13 (define @t115 () (tptp.addition tptp.one @t114)) % 0.97/1.13 (define @t116 () (tptp.multiplication @t114 @t35)) % 0.97/1.13 (define @t117 () (tptp.addition @t93 @t35)) % 0.97/1.13 (define @t118 () (tptp.multiplication @t95 @t35)) % 0.97/1.13 (define @t119 () (tptp.addition @t118 @t93)) % 0.97/1.13 (define @t120 () (= @t115 @t96)) % 0.97/1.13 (define @t121 () (tptp.addition tptp.one @t106)) % 0.97/1.13 (define @t122 () (@list @t121 @t92)) % 0.97/1.13 (define @t123 () (= @t92 (tptp.addition @t121 @t92))) % 0.97/1.13 (define @t124 () (tptp.leq @t121 @t92)) % 0.97/1.13 (define @t125 () (= @t124 @t123)) % 0.97/1.13 (define @t126 () (tptp.addition @t92 tptp.one)) % 0.97/1.13 (define @t127 () (tptp.multiplication @t83 @t92)) % 0.97/1.13 (define @t128 () (tptp.addition tptp.one @t103)) % 0.97/1.13 (define @t129 () (tptp.addition tptp.one @t92)) % 0.97/1.13 (define @t130 () (= @t129 @t126)) % 0.97/1.13 (define @t131 () (tptp.addition @t118 @t114)) % 0.97/1.13 (define @t132 () (tptp.addition @t93 @t103)) % 0.97/1.13 (define @t133 () (= @t35 @t117)) % 0.97/1.13 (define @t134 () (tptp.leq @t93 @t35)) % 0.97/1.13 (define @t135 () (= @t134 @t133)) % 0.97/1.13 (define @t136 () (not @t134)) % 0.97/1.13 (define @t137 () (@list true false)) % 0.97/1.13 (define @t138 () (not @t91)) % 0.97/1.13 (define @t139 () (or @t138 @t134)) % 0.97/1.13 (assume @p1 @t5) % 0.97/1.13 (assume @p2 @t8) % 0.97/1.13 (assume @p3 (forall @t9 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.97/1.13 (assume @p4 @t11) % 0.97/1.13 (assume @p5 (forall @t14 (= (tptp.multiplication @t1 @t13) (tptp.multiplication @t12 @t6)))) % 0.97/1.13 (assume @p6 @t16) % 0.97/1.13 (assume @p7 @t18) % 0.97/1.13 (assume @p8 (forall @t14 (= (tptp.multiplication @t1 @t7) (tptp.addition @t12 @t19)))) % 0.97/1.13 (assume @p9 (forall @t14 (= (tptp.multiplication @t3 @t6) (tptp.addition @t19 @t13)))) % 0.97/1.13 (assume @p10 (forall @t9 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.97/1.13 (assume @p11 (forall @t9 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.97/1.13 (assume @p12 @t22) % 0.97/1.13 (assume @p13 (forall @t9 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t1 @t23)) @t23))) % 0.97/1.13 (assume @p14 (forall @t9 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t23 @t1)) @t23))) % 0.97/1.13 (assume @p15 @t27) % 0.97/1.13 (assume @p16 (forall @t14 (=> (tptp.leq @t25 @t1) (tptp.leq (tptp.multiplication @t6 (tptp.star @t2)) @t1)))) % 0.97/1.13 (assume @p17 @t33) % 0.97/1.13 (assume @p18 true) % 0.97/1.13 (step @p19 :rule evaluate :args ((= false true))) % 0.97/1.13 (step @p20 :rule bool-impl-elim :args (@t26 @t24)) % 0.97/1.13 (step @p21 :rule cong :premises (@p20) :args (@t27)) % 0.97/1.13 (step @p22 :rule eq_resolve :premises (@p15 @p21)) % 0.97/1.13 (step @p23 :rule instantiate :premises (@p22) :args ((@list @t34 @t35 tptp.one))) % 0.97/1.13 (step @p24 :rule instantiate :premises (@p13) :args (@t36)) % 0.97/1.13 (step @p25 :rule true_intro :premises (@p24)) % 0.97/1.13 (step @p26 :rule refl :args (@t35)) % 0.97/1.13 (step @p27 :rule instantiate :premises (@p1) :args ((@list tptp.one @t37))) % 0.97/1.13 (step @p28 :rule symm :premises (@p27)) % 0.97/1.13 (step @p29 :rule cong :premises (@p28 @p26) :args (@t39)) % 0.97/1.13 (step @p30 :rule trans :premises (@p29 @p25)) % 0.97/1.13 (step @p31 :rule true_elim :premises (@p30)) % 0.97/1.13 (step @p32 :rule cnf_or_pos :args (@t43)) % 0.97/1.13 (step @p33 :rule reordering :premises (@p32) :args ((or @t42 @t41 (not @t43)))) % 0.97/1.13 (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p23) :args (@t41 @t44 (@list @t39 @t43))) % 0.97/1.13 (step @p35 :rule true_intro :premises (@p34)) % 0.97/1.13 (step @p36 :rule eq-symm :args (@t3 @t2)) % 0.97/1.13 (step @p37 :rule refl :args (@t20)) % 0.97/1.13 (step @p38 :rule cong :premises (@p37 @p36) :args (@t21)) % 0.97/1.13 (step @p39 :rule cong :premises (@p38) :args (@t22)) % 0.97/1.13 (step @p40 :rule eq_resolve :premises (@p12 @p39)) % 0.97/1.13 (step @p41 :rule instantiate :premises (@p40) :args (@t47)) % 0.97/1.13 (step @p42 :rule instantiate :premises (@p14) :args (@t36)) % 0.97/1.13 (step @p43 :rule cnf_equiv_pos1 :args (@t51)) % 0.97/1.13 (step @p44 :rule reordering :premises (@p43) :args ((or (not @t50) @t49 (not @t51)))) % 0.97/1.13 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p41) :args (@t49 @t44 (@list @t50 @t51))) % 0.97/1.13 (step @p46 :rule symm :premises (@p45)) % 0.97/1.13 (step @p47 :rule eq-symm :args (@t10 @t1)) % 0.97/1.13 (step @p48 :rule cong :premises (@p47) :args (@t11)) % 0.97/1.13 (step @p49 :rule eq_resolve :premises (@p4 @p48)) % 0.97/1.13 (step @p50 :rule instantiate :premises (@p49) :args ((@list @t46))) % 0.97/1.13 (step @p51 :rule symm :premises (@p50)) % 0.97/1.13 (step @p52 :rule instantiate :premises (@p2) :args ((@list @t46 @t45 tptp.one))) % 0.97/1.13 (step @p53 :rule trans :premises (@p52 @p51)) % 0.97/1.13 (step @p54 :rule cong :premises (@p53 @p26) :args ((tptp.addition @t53 @t35))) % 0.97/1.13 (step @p55 :rule instantiate :premises (@p2) :args ((@list @t35 @t52 tptp.one))) % 0.97/1.13 (step @p56 :rule instantiate :premises (@p1) :args ((@list @t52 @t35))) % 0.97/1.13 (step @p57 :rule symm :premises (@p56)) % 0.97/1.13 (step @p58 :rule instantiate :premises (@p1) :args ((@list @t45 @t46))) % 0.97/1.13 (step @p59 :rule symm :premises (@p58)) % 0.97/1.13 (step @p60 :rule refl :args (@t45)) % 0.97/1.13 (step @p61 :rule instantiate :premises (@p1) :args ((@list tptp.one @t45))) % 0.97/1.13 (step @p62 :rule symm :premises (@p61)) % 0.97/1.13 (step @p63 :rule cong :premises (@p62 @p60) :args ((tptp.addition @t54 @t45))) % 0.97/1.13 (step @p64 :rule refl :args (@t34)) % 0.97/1.13 (step @p65 :rule eq-symm :args (@t17 @t1)) % 0.97/1.13 (step @p66 :rule cong :premises (@p65) :args (@t18)) % 0.97/1.13 (step @p67 :rule eq_resolve :premises (@p7 @p66)) % 0.97/1.13 (step @p68 :rule instantiate :premises (@p67) :args (@t55)) % 0.97/1.13 (step @p69 :rule symm :premises (@p68)) % 0.97/1.13 (step @p70 :rule cong :premises (@p69 @p64) :args (@t57)) % 0.97/1.13 (step @p71 :rule refl :args (tptp.one)) % 0.97/1.13 (step @p72 :rule cong :premises (@p71 @p70) :args (@t58)) % 0.97/1.13 (step @p73 :rule trans :premises (@p72 @p61)) % 0.97/1.13 (step @p74 :rule cong :premises (@p73 @p60) :args ((tptp.addition @t58 @t45))) % 0.97/1.13 (step @p75 :rule instantiate :premises (@p2) :args ((@list @t45 @t57 tptp.one))) % 0.97/1.13 (step @p76 :rule instantiate :premises (@p9) :args ((@list @t56 @t35 @t34))) % 0.97/1.13 (step @p77 :rule instantiate :premises (@p40) :args ((@list @t40 @t35))) % 0.97/1.13 (step @p78 :rule cnf_equiv_pos1 :args (@t60)) % 0.97/1.13 (step @p79 :rule reordering :premises (@p78) :args ((or (not @t41) @t59 (not @t60)))) % 0.97/1.13 (step @p80 :rule chain_m_resolution :premises (@p79 @p34 @p77) :args (@t59 @t44 (@list @t41 @t60))) % 0.97/1.13 (step @p81 :rule symm :premises (@p80)) % 0.97/1.13 (step @p82 :rule eq-symm :args (@t15 @t1)) % 0.97/1.13 (step @p83 :rule cong :premises (@p82) :args (@t16)) % 0.97/1.13 (step @p84 :rule eq_resolve :premises (@p6 @p83)) % 0.97/1.13 (step @p85 :rule instantiate :premises (@p84) :args (@t55)) % 0.97/1.13 (step @p86 :rule trans :premises (@p69 @p85)) % 0.97/1.13 (step @p87 :rule cong :premises (@p86 @p26) :args (@t61)) % 0.97/1.13 (step @p88 :rule trans :premises (@p87 @p81)) % 0.97/1.13 (step @p89 :rule symm :premises (@p88)) % 0.97/1.13 (step @p90 :rule cong :premises (@p89 @p64) :args (@t45)) % 0.97/1.13 (step @p91 :rule trans :premises (@p90 @p76)) % 0.97/1.13 (step @p92 :rule cong :premises (@p71 @p91) :args (@t46)) % 0.97/1.13 (step @p93 :rule trans :premises (@p92 @p75 @p74 @p63 @p59)) % 0.97/1.13 (step @p94 :rule cong :premises (@p26 @p93) :args ((tptp.addition @t35 @t46))) % 0.97/1.13 (step @p95 :rule instantiate :premises (@p1) :args (@t47)) % 0.97/1.13 (step @p96 :rule trans :premises (@p45 @p95 @p94 @p57)) % 0.97/1.13 (step @p97 :rule cong :premises (@p71 @p96) :args (@t62)) % 0.97/1.13 (step @p98 :rule trans :premises (@p97 @p55 @p54 @p46)) % 0.97/1.13 (step @p99 :rule instantiate :premises (@p40) :args ((@list @t63 @t35))) % 0.97/1.13 (step @p100 :rule instantiate :premises (@p22) :args ((@list @t34 @t35 @t62))) % 0.97/1.13 (step @p101 :rule instantiate :premises (@p40) :args ((@list @t64 @t35))) % 0.97/1.13 (step @p102 :rule cnf_equiv_pos1 :args (@t67)) % 0.97/1.13 (step @p103 :rule reordering :premises (@p102) :args ((or (not @t66) @t65 (not @t67)))) % 0.97/1.13 (step @p104 :rule chain_m_resolution :premises (@p103 @p24 @p101) :args (@t65 @t44 (@list @t66 @t67))) % 0.97/1.13 (step @p105 :rule symm 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(step @p320 :rule trans :premises (@p319 @p317)) % 0.97/1.13 (step @p321 :rule refl :args (@t126)) % 0.97/1.13 (step @p322 :rule cong :premises (@p321 @p320) :args ((tptp.addition @t126 (tptp.addition @t103 @t127)))) % 0.97/1.13 (step @p323 :rule instantiate :premises (@p2) :args ((@list @t127 @t103 @t126))) % 0.97/1.13 (step @p324 :rule symm :premises (@p323)) % 0.97/1.13 (step @p325 :rule refl :args (@t127)) % 0.97/1.13 (step @p326 :rule instantiate :premises (@p1) :args ((@list tptp.one @t92))) % 0.97/1.13 (step @p327 :rule cong :premises (@p71 @p239) :args (@t128)) % 0.97/1.13 (step @p328 :rule trans :premises (@p327 @p326)) % 0.97/1.13 (step @p329 :rule cong :premises (@p328 @p238) :args ((tptp.addition @t128 @t92))) % 0.97/1.13 (step @p330 :rule instantiate :premises (@p2) :args ((@list @t92 @t103 tptp.one))) % 0.97/1.13 (step @p331 :rule cong :premises (@p71 @p261) :args (@t129)) % 0.97/1.13 (step @p332 :rule eq-symm :args (@t129 @t126)) % 0.97/1.13 (step @p333 :rule cong :premises (@p121 @p332) :args ((=> @t5 @t130))) % 0.97/1.13 (assume-push @p401 @t5) % 0.97/1.13 (step-pop @p402 :rule scope :premises (@p326)) % 0.97/1.13 (step @p335 :rule process_scope :premises (@p402) :args (@t130)) % 0.97/1.13 (step @p337 :rule eq_resolve :premises (@p335 @p333)) % 0.97/1.13 (step @p338 :rule implies_elim :premises (@p337)) % 0.97/1.13 (step @p339 :rule chain_m_resolution :premises (@p338 @p1) :args ((= @t126 @t129) @t77 @t78)) % 0.97/1.13 (step @p340 :rule trans :premises (@p339 @p331 @p330 @p329)) % 0.97/1.13 (step @p341 :rule trans :premises (@p328 @p340)) % 0.97/1.13 (step @p342 :rule cong :premises (@p341 @p325) :args ((tptp.addition @t128 @t127))) % 0.97/1.13 (step @p343 :rule instantiate :premises (@p2) :args ((@list @t127 @t103 tptp.one))) % 0.97/1.13 (step @p344 :rule symm :premises (@p320)) % 0.97/1.13 (step @p345 :rule cong :premises (@p71 @p344) :args (@t121)) % 0.97/1.13 (step @p346 :rule trans :premises (@p345 @p343 @p342 @p324 @p322 @p316 @p314 @p312)) % 0.97/1.13 (step @p347 :rule trans :premises (@p251 @p346 @p307 @p286)) % 0.97/1.13 (step @p348 :rule cong :premises (@p347 @p296) :args ((tptp.addition @t107 @t118))) % 0.97/1.13 (step @p349 :rule refl :args (@t95)) % 0.97/1.13 (step @p350 :rule cong :premises (@p349 @p88) :args ((tptp.multiplication @t95 @t61))) % 0.97/1.13 (step @p351 :rule cong :premises (@p307 @p89) :args (@t93)) % 0.97/1.13 (step @p352 :rule symm :premises (@p263)) % 0.97/1.13 (step @p353 :rule symm :premises (@p240)) % 0.97/1.13 (step @p354 :rule trans :premises (@p353 @p241 @p352 @p233 @p231 @p351 @p350)) % 0.97/1.13 (step @p355 :rule symm :premises (@p346)) % 0.97/1.13 (step @p356 :rule trans :premises (@p239 @p355 @p250)) % 0.97/1.13 (step @p357 :rule cong :premises (@p356 @p354) :args ((tptp.addition @t103 (tptp.addition @t92 @t93)))) % 0.97/1.13 (step @p358 :rule cong :premises (@p291 @p230) :args ((tptp.addition @t119 @t92))) % 0.97/1.13 (step @p359 :rule instantiate :premises (@p2) :args ((@list @t92 @t93 @t118))) % 0.97/1.13 (step @p360 :rule trans :premises (@p359 @p358 @p228)) % 0.97/1.13 (step @p361 :rule symm :premises (@p356)) % 0.97/1.13 (step @p362 :rule cong :premises (@p361 @p360) :args ((tptp.addition @t107 @t131))) % 0.97/1.13 (step @p363 :rule symm :premises (@p359)) % 0.97/1.13 (step @p364 :rule symm :premises (@p358)) % 0.97/1.13 (step @p365 :rule trans :premises (@p364 @p363)) % 0.97/1.13 (step @p366 :rule refl :args (@t107)) % 0.97/1.13 (step @p367 :rule cong :premises (@p366 @p365) :args ((tptp.addition @t107 @t114))) % 0.97/1.14 (step @p368 :rule instantiate :premises (@p1) :args ((@list @t107 @t114))) % 0.97/1.14 (step @p369 :rule symm :premises (@p368)) % 0.97/1.14 (step @p370 :rule refl :args (@t114)) % 0.97/1.14 (step @p371 :rule cong :premises (@p370 @p250) :args ((tptp.addition @t114 @t121))) % 0.97/1.14 (step @p372 :rule refl :args (@t121)) % 0.97/1.14 (step @p373 :rule symm :premises (@p365)) % 0.97/1.14 (step @p374 :rule cong :premises (@p373 @p372) :args ((tptp.addition @t131 @t121))) % 0.97/1.14 (step @p375 :rule cong :premises (@p365 @p355) :args ((tptp.addition @t114 @t92))) % 0.97/1.14 (step @p376 :rule refl :args (@t93)) % 0.97/1.14 (step @p377 :rule cong :premises (@p376 @p239) :args (@t132)) % 0.97/1.14 (step @p378 :rule cong :premises (@p377 @p230) :args ((tptp.addition @t132 @t92))) % 0.97/1.14 (step @p379 :rule instantiate :premises (@p2) :args ((@list @t92 @t103 @t93))) % 0.97/1.14 (step @p380 :rule cong :premises (@p376 @p261) :args (@t114)) % 0.97/1.14 (step @p381 :rule trans :premises (@p277 @p276 @p272 @p271 @p268 @p266 @p264 @p232 @p263 @p242 @p240 @p229 @p380 @p379 @p378 @p375 @p374 @p371 @p369 @p367 @p362 @p357 @p348 @p295 @p293 @p292 @p287 @p285 @p279 @p227 @p226)) % 0.97/1.14 (step @p382 :rule cong :premises (@p26 @p381) :args (@t133)) % 0.97/1.14 (step @p383 :rule trans :premises (@p382 @p220)) % 0.97/1.14 (step @p384 :rule false_elim :premises (@p383)) % 0.97/1.14 (step @p385 :rule cnf_equiv_pos1 :args (@t135)) % 0.97/1.14 (step @p386 :rule reordering :premises (@p385) :args ((or @t133 @t136 (not @t135)))) % 0.97/1.14 (step @p387 :rule chain_m_resolution :premises (@p386 @p384 @p214) :args (@t136 @t137 (@list @t133 @t135))) % 0.97/1.14 (step @p388 :rule cnf_or_pos :args (@t139)) % 0.97/1.14 (step @p389 :rule reordering :premises (@p388) :args ((or @t134 @t138 (not @t139)))) % 0.97/1.14 (step @p390 :rule chain_m_resolution :premises (@p389 @p387 @p213) :args (@t138 @t137 (@list @t134 @t139))) % 0.97/1.14 (step @p391 :rule false_intro :premises (@p390)) % 0.97/1.14 (step @p392 :rule symm :premises (@p391)) % 0.97/1.14 (step @p393 :rule trans :premises (@p392 @p212 @p209 @p35)) % 0.97/1.14 (step @p394 false :rule eq_resolve :premises (@p393 @p19)) % 0.97/1.14 ) % 0.97/1.14 % SZS output end Proof % 0.97/1.14 % cvc5 exiting %------------------------------------------------------------------------------