%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE137+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 : n022.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 08:28:21 AM UTC 2026 % Result : Theorem 0.62s 0.86s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE137+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n022.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 05:19:23 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.62/0.86 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.62/0.86 % SZS status Theorem % 0.62/0.86 % SZS output start Proof % 0.62/0.86 ( % 0.62/0.86 (declare-sort $$unsorted 0) % 0.62/0.86 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 0.62/0.86 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 0.62/0.86 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.62/0.86 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.86 (declare-const tptp.zero $$unsorted) % 0.62/0.86 (declare-const tptp.one $$unsorted) % 0.62/0.86 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.86 (define @t1 () (@var "A" $$unsorted)) % 0.62/0.86 (define @t2 () (@var "B" $$unsorted)) % 0.62/0.86 (define @t3 () (tptp.addition @t1 @t2)) % 0.62/0.86 (define @t4 () (@list @t1 @t2)) % 0.62/0.86 (define @t5 () (@var "C" $$unsorted)) % 0.62/0.86 (define @t6 () (tptp.addition @t2 @t5)) % 0.62/0.86 (define @t7 () (tptp.addition @t1 tptp.zero)) % 0.62/0.86 (define @t8 () (@list @t1)) % 0.62/0.86 (define @t9 () (forall @t8 (= @t7 @t1))) % 0.62/0.86 (define @t10 () (tptp.addition @t1 @t1)) % 0.62/0.86 (define @t11 () (forall @t8 (= @t10 @t1))) % 0.62/0.86 (define @t12 () (tptp.multiplication @t1 @t2)) % 0.62/0.86 (define @t13 () (tptp.multiplication @t2 @t5)) % 0.62/0.86 (define @t14 () (@list @t1 @t2 @t5)) % 0.62/0.86 (define @t15 () (forall @t14 (= (tptp.multiplication @t1 @t13) (tptp.multiplication @t12 @t5)))) % 0.62/0.86 (define @t16 () (tptp.multiplication @t1 tptp.one)) % 0.62/0.86 (define @t17 () (forall @t8 (= @t16 @t1))) % 0.62/0.86 (define @t18 () (tptp.multiplication tptp.one @t1)) % 0.62/0.86 (define @t19 () (forall @t8 (= @t18 @t1))) % 0.62/0.86 (define @t20 () (tptp.multiplication @t1 @t5)) % 0.62/0.86 (define @t21 () (tptp.multiplication tptp.zero @t1)) % 0.62/0.86 (define @t22 () (forall @t8 (= @t21 tptp.zero))) % 0.62/0.86 (define @t23 () (tptp.star @t1)) % 0.62/0.86 (define @t24 () (tptp.addition tptp.one (tptp.multiplication @t1 @t23))) % 0.62/0.86 (define @t25 () (forall @t8 (= @t24 @t23))) % 0.62/0.86 (define @t26 () (tptp.addition tptp.one (tptp.multiplication @t23 @t1))) % 0.62/0.86 (define @t27 () (forall @t8 (= @t26 @t23))) % 0.62/0.86 (define @t28 () (tptp.leq (tptp.multiplication @t23 @t2) @t5)) % 0.62/0.86 (define @t29 () (tptp.addition @t20 @t2)) % 0.62/0.86 (define @t30 () (tptp.leq @t29 @t5)) % 0.62/0.86 (define @t31 () (forall @t14 (=> @t30 @t28))) % 0.62/0.86 (define @t32 () (tptp.strong_iteration @t1)) % 0.62/0.86 (define @t33 () (tptp.leq @t5 (tptp.multiplication @t32 @t2))) % 0.62/0.86 (define @t34 () (tptp.leq @t5 @t29)) % 0.62/0.86 (define @t35 () (forall @t14 (=> @t34 @t33))) % 0.62/0.86 (define @t36 () (tptp.leq @t1 @t2)) % 0.62/0.86 (define @t37 () (= @t36 (= @t3 @t2))) % 0.62/0.86 (define @t38 () (forall @t4 @t37)) % 0.62/0.86 (define @t39 () (tptp.strong_iteration tptp.one)) % 0.62/0.86 (define @t40 () (@var "X0" $$unsorted)) % 0.62/0.86 (define @t41 () (forall (@list @t40) (tptp.leq @t40 @t39))) % 0.62/0.86 (define @t42 () (@list tptp.one)) % 0.62/0.86 (define @t43 () (tptp.star tptp.one)) % 0.62/0.86 (define @t44 () (tptp.multiplication @t43 tptp.one)) % 0.62/0.86 (define @t45 () (@quantifiers_skolemize @t41 0)) % 0.62/0.86 (define @t46 () (@list @t43)) % 0.62/0.86 (define @t47 () (tptp.multiplication tptp.one @t43)) % 0.62/0.86 (define @t48 () (tptp.multiplication @t44 tptp.one)) % 0.62/0.86 (define @t49 () (tptp.multiplication tptp.one tptp.one)) % 0.62/0.86 (define @t50 () (@list tptp.zero)) % 0.62/0.86 (define @t51 () (tptp.multiplication @t43 @t45)) % 0.62/0.86 (define @t52 () (tptp.multiplication tptp.one @t51)) % 0.62/0.86 (define @t53 () (tptp.multiplication @t49 @t45)) % 0.62/0.86 (define @t54 () (tptp.multiplication @t48 @t45)) % 0.62/0.86 (define @t55 () (tptp.addition @t47 tptp.zero)) % 0.62/0.86 (define @t56 () (tptp.multiplication tptp.one @t45)) % 0.62/0.86 (define @t57 () (tptp.multiplication tptp.one @t56)) % 0.62/0.86 (define @t58 () (= @t57 @t53)) % 0.62/0.86 (define @t59 () (@list tptp.one tptp.one @t45)) % 0.62/0.86 (define @t60 () (= @t53 @t57)) % 0.62/0.86 (define @t61 () (tptp.star tptp.zero)) % 0.62/0.86 (define @t62 () (@list @t61)) % 0.62/0.86 (define @t63 () (tptp.addition @t56 tptp.one)) % 0.62/0.86 (define @t64 () (tptp.leq @t45 (tptp.multiplication @t39 tptp.one))) % 0.62/0.86 (define @t65 () (tptp.leq @t45 @t63)) % 0.62/0.86 (define @t66 () (not @t65)) % 0.62/0.86 (define @t67 () (or @t66 @t64)) % 0.62/0.86 (define @t68 () (@list true false)) % 0.62/0.86 (define @t69 () (= @t63 (tptp.addition @t45 @t63))) % 0.62/0.86 (define @t70 () (= @t65 @t69)) % 0.62/0.86 (define @t71 () (not @t69)) % 0.62/0.86 (define @t72 () (tptp.addition @t49 tptp.one)) % 0.62/0.86 (define @t73 () (tptp.addition tptp.one tptp.one)) % 0.62/0.86 (define @t74 () (tptp.addition tptp.one tptp.zero)) % 0.62/0.86 (define @t75 () (= tptp.one (tptp.addition @t72 tptp.one))) % 0.62/0.86 (define @t76 () (tptp.leq @t72 tptp.one)) % 0.62/0.86 (define @t77 () (= @t76 @t75)) % 0.62/0.86 (define @t78 () (@list false false)) % 0.62/0.86 (define @t79 () (tptp.leq @t44 tptp.one)) % 0.62/0.86 (define @t80 () (not @t76)) % 0.62/0.86 (define @t81 () (or @t80 @t79)) % 0.62/0.86 (define @t82 () (tptp.addition @t44 tptp.one)) % 0.62/0.86 (define @t83 () (= tptp.one @t82)) % 0.62/0.86 (define @t84 () (= @t79 @t83)) % 0.62/0.86 (define @t85 () (tptp.addition tptp.one @t44)) % 0.62/0.86 (define @t86 () (= @t43 @t85)) % 0.62/0.86 (define @t87 () (= @t85 @t82)) % 0.62/0.86 (define @t88 () (tptp.addition @t45 @t43)) % 0.62/0.86 (define @t89 () (= @t88 (tptp.addition @t43 @t45))) % 0.62/0.86 (define @t90 () (= @t43 @t44)) % 0.62/0.86 (define @t91 () (= @t43 @t47)) % 0.62/0.86 (define @t92 () (tptp.multiplication tptp.one @t44)) % 0.62/0.86 (define @t93 () (tptp.addition @t49 @t92)) % 0.62/0.86 (define @t94 () (= (tptp.multiplication tptp.one @t85) @t93)) % 0.62/0.86 (define @t95 () (tptp.addition tptp.zero @t47)) % 0.62/0.86 (define @t96 () (= @t55 @t95)) % 0.62/0.86 (define @t97 () (= @t47 @t55)) % 0.62/0.86 (define @t98 () (tptp.multiplication @t47 @t45)) % 0.62/0.86 (define @t99 () (= @t52 @t98)) % 0.62/0.86 (define @t100 () (= tptp.one @t49)) % 0.62/0.86 (define @t101 () (tptp.addition @t53 @t54)) % 0.62/0.86 (define @t102 () (= (tptp.multiplication (tptp.addition @t49 @t48) @t45) @t101)) % 0.62/0.86 (define @t103 () (tptp.multiplication tptp.zero @t61)) % 0.62/0.86 (define @t104 () (tptp.addition tptp.one @t103)) % 0.62/0.86 (define @t105 () (= @t61 @t104)) % 0.62/0.86 (define @t106 () (= @t61 (tptp.addition tptp.one (tptp.multiplication @t61 tptp.zero)))) % 0.62/0.86 (define @t107 () (tptp.addition tptp.one @t52)) % 0.62/0.86 (define @t108 () (tptp.addition @t52 tptp.one)) % 0.62/0.86 (define @t109 () (= @t108 @t107)) % 0.62/0.86 (define @t110 () (tptp.addition @t54 tptp.one)) % 0.62/0.86 (define @t111 () (tptp.addition @t53 @t110)) % 0.62/0.86 (define @t112 () (= @t111 (tptp.addition @t101 tptp.one))) % 0.62/0.86 (define @t113 () (= tptp.one @t74)) % 0.62/0.86 (define @t114 () (= tptp.one @t73)) % 0.62/0.86 (define @t115 () (= @t55 (tptp.addition @t55 @t55))) % 0.62/0.86 (define @t116 () (tptp.multiplication @t49 @t61)) % 0.62/0.86 (define @t117 () (tptp.multiplication tptp.one @t61)) % 0.62/0.86 (define @t118 () (= (tptp.multiplication tptp.one @t117) @t116)) % 0.62/0.86 (define @t119 () (= @t45 @t56)) % 0.62/0.86 (define @t120 () (= @t61 @t117)) % 0.62/0.86 (define @t121 () (= tptp.zero @t103)) % 0.62/0.86 (define @t122 () (tptp.multiplication @t47 tptp.one)) % 0.62/0.86 (define @t123 () (tptp.addition @t44 @t122)) % 0.62/0.86 (define @t124 () (and @t86 @t87 @t89 @t90 @t91 @t94 @t96 @t97 @t99 @t100 @t102 @t105 @t106 @t83 @t109 @t112 @t113 @t114 @t115 @t60 @t118 @t119 @t120 @t121)) % 0.62/0.86 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.62/0.86 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.62/0.86 (assume @p3 @t9) % 0.62/0.86 (assume @p4 @t11) % 0.62/0.86 (assume @p5 @t15) % 0.62/0.86 (assume @p6 @t17) % 0.62/0.86 (assume @p7 @t19) % 0.62/0.86 (assume @p8 (forall @t14 (= (tptp.multiplication @t1 @t6) (tptp.addition @t12 @t20)))) % 0.62/0.86 (assume @p9 (forall @t14 (= (tptp.multiplication @t3 @t5) (tptp.addition @t20 @t13)))) % 0.62/0.86 (assume @p10 @t22) % 0.62/0.86 (assume @p11 @t25) % 0.62/0.86 (assume @p12 @t27) % 0.62/0.86 (assume @p13 @t31) % 0.62/0.86 (assume @p14 (forall @t14 (=> (tptp.leq (tptp.addition (tptp.multiplication @t5 @t1) @t2) @t5) (tptp.leq (tptp.multiplication @t2 @t23) @t5)))) % 0.62/0.86 (assume @p15 (forall @t8 (= @t32 (tptp.addition (tptp.multiplication @t1 @t32) tptp.one)))) % 0.62/0.86 (assume @p16 @t35) % 0.62/0.86 (assume @p17 (forall @t8 (= @t32 (tptp.addition @t23 (tptp.multiplication @t32 tptp.zero))))) % 0.62/0.86 (assume @p18 @t38) % 0.62/0.86 (assume @p19 (not @t41)) % 0.62/0.86 (assume @p20 true) % 0.62/0.86 (step @p21 :rule eq-symm :args (@t26 @t23)) % 0.62/0.86 (step @p22 :rule cong :premises (@p21) :args (@t27)) % 0.62/0.86 (step @p23 :rule eq_resolve :premises (@p12 @p22)) % 0.62/0.86 (step @p24 :rule instantiate :premises (@p23) :args (@t42)) % 0.62/0.86 (step @p25 :rule instantiate :premises (@p1) :args ((@list tptp.one @t44))) % 0.62/0.86 (step @p26 :rule instantiate :premises (@p1) :args ((@list @t45 @t43))) % 0.62/0.86 (step @p27 :rule eq-symm :args (@t16 @t1)) % 0.62/0.86 (step @p28 :rule cong :premises (@p27) :args (@t17)) % 0.62/0.86 (step @p29 :rule eq_resolve :premises (@p6 @p28)) % 0.62/0.86 (step @p30 :rule instantiate :premises (@p29) :args (@t46)) % 0.62/0.86 (step @p31 :rule eq-symm :args (@t18 @t1)) % 0.62/0.86 (step @p32 :rule cong :premises (@p31) :args (@t19)) % 0.62/0.86 (step @p33 :rule eq_resolve :premises (@p7 @p32)) % 0.62/0.86 (step @p34 :rule instantiate :premises (@p33) :args (@t46)) % 0.62/0.86 (step @p35 :rule instantiate :premises (@p8) :args ((@list tptp.one tptp.one @t44))) % 0.62/0.86 (step @p36 :rule instantiate :premises (@p1) :args ((@list @t47 tptp.zero))) % 0.62/0.86 (step @p37 :rule eq-symm :args (@t7 @t1)) % 0.62/0.86 (step @p38 :rule cong :premises (@p37) :args (@t9)) % 0.62/0.86 (step @p39 :rule eq_resolve :premises (@p3 @p38)) % 0.62/0.86 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t47))) % 0.62/0.86 (step @p41 :rule instantiate :premises (@p5) :args ((@list tptp.one @t43 @t45))) % 0.62/0.86 (step @p42 :rule instantiate :premises (@p29) :args (@t42)) % 0.62/0.86 (step @p43 :rule instantiate :premises (@p9) :args ((@list @t49 @t48 @t45))) % 0.62/0.86 (step @p44 :rule eq-symm :args (@t24 @t23)) % 0.62/0.86 (step @p45 :rule cong :premises (@p44) :args (@t25)) % 0.62/0.86 (step @p46 :rule eq_resolve :premises (@p11 @p45)) % 0.62/0.86 (step @p47 :rule instantiate :premises (@p46) :args (@t50)) % 0.62/0.86 (step @p48 :rule instantiate :premises (@p23) :args (@t50)) % 0.62/0.86 (step @p49 :rule instantiate :premises (@p1) :args ((@list @t52 tptp.one))) % 0.62/0.86 (step @p50 :rule instantiate :premises (@p2) :args ((@list tptp.one @t54 @t53))) % 0.62/0.86 (step @p51 :rule instantiate :premises (@p39) :args (@t42)) % 0.62/0.86 (step @p52 :rule eq-symm :args (@t10 @t1)) % 0.62/0.86 (step @p53 :rule cong :premises (@p52) :args (@t11)) % 0.62/0.86 (step @p54 :rule eq_resolve :premises (@p4 @p53)) % 0.62/0.86 (step @p55 :rule instantiate :premises (@p54) :args (@t42)) % 0.62/0.86 (step @p56 :rule instantiate :premises (@p54) :args ((@list @t55))) % 0.62/0.86 (step @p57 :rule eq-symm :args (@t57 @t53)) % 0.62/0.86 (step @p58 :rule refl :args (@t15)) % 0.62/0.86 (step @p59 :rule cong :premises (@p58 @p57) :args ((=> @t15 @t58))) % 0.62/0.86 (assume-push @p265 @t15) % 0.62/0.86 (step @p61 :rule instantiate :premises (@p5) :args (@t59)) % 0.62/0.86 (step-pop @p266 :rule scope :premises (@p61)) % 0.62/0.86 (step @p62 :rule process_scope :premises (@p266) :args (@t58)) % 0.62/0.86 (step @p64 :rule eq_resolve :premises (@p62 @p59)) % 0.62/0.86 (step @p65 :rule implies_elim :premises (@p64)) % 0.62/0.86 (step @p66 :rule chain_m_resolution :premises (@p65 @p5) :args (@t60 (@list false) (@list @t15))) % 0.62/0.86 (step @p67 :rule instantiate :premises (@p5) :args ((@list tptp.one tptp.one @t61))) % 0.62/0.86 (step @p68 :rule instantiate :premises (@p33) :args ((@list @t45))) % 0.62/0.86 (step @p69 :rule instantiate :premises (@p33) :args (@t62)) % 0.62/0.86 (step @p70 :rule eq-symm :args (@t21 tptp.zero)) % 0.62/0.86 (step @p71 :rule cong :premises (@p70) :args (@t22)) % 0.62/0.86 (step @p72 :rule eq_resolve :premises (@p10 @p71)) % 0.62/0.86 (step @p73 :rule instantiate :premises (@p72) :args (@t62)) % 0.62/0.86 (step @p74 :rule eq-symm :args (@t3 @t2)) % 0.62/0.86 (step @p75 :rule refl :args (@t36)) % 0.62/0.86 (step @p76 :rule cong :premises (@p75 @p74) :args (@t37)) % 0.62/0.86 (step @p77 :rule cong :premises (@p76) :args (@t38)) % 0.62/0.86 (step @p78 :rule eq_resolve :premises (@p18 @p77)) % 0.62/0.86 (step @p79 :rule instantiate :premises (@p78) :args ((@list @t45 @t63))) % 0.62/0.86 (step @p80 :rule bool-impl-elim :args (@t34 @t33)) % 0.62/0.86 (step @p81 :rule cong :premises (@p80) :args (@t35)) % 0.62/0.86 (step @p82 :rule eq_resolve :premises (@p16 @p81)) % 0.62/0.86 (step @p83 :rule instantiate :premises (@p82) :args (@t59)) % 0.62/0.86 (step @p84 :rule skolemize :premises (@p19)) % 0.62/0.86 (step @p85 :rule false_intro :premises (@p84)) % 0.62/0.86 (step @p86 :rule instantiate :premises (@p29) :args ((@list @t39))) % 0.62/0.86 (step @p87 :rule symm :premises (@p86)) % 0.62/0.86 (step @p88 :rule refl :args (@t45)) % 0.62/0.86 (step @p89 :rule cong :premises (@p88 @p87) :args (@t64)) % 0.62/0.86 (step @p90 :rule trans :premises (@p89 @p85)) % 0.62/0.86 (step @p91 :rule false_elim :premises (@p90)) % 0.62/0.86 (step @p92 :rule cnf_or_pos :args (@t67)) % 0.62/0.86 (step @p93 :rule reordering :premises (@p92) :args ((or @t66 @t64 (not @t67)))) % 0.62/0.86 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p83) :args (@t66 @t68 (@list @t64 @t67))) % 0.62/0.86 (step @p95 :rule cnf_equiv_pos2 :args (@t70)) % 0.62/0.86 (step @p96 :rule reordering :premises (@p95) :args ((or @t65 @t71 (not @t70)))) % 0.62/0.86 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p79) :args (@t71 @t68 (@list @t65 @t70))) % 0.62/0.86 (step @p98 :rule instantiate :premises (@p78) :args ((@list @t44 tptp.one))) % 0.62/0.86 (step @p99 :rule bool-impl-elim :args (@t30 @t28)) % 0.62/0.86 (step @p100 :rule cong :premises (@p99) :args (@t31)) % 0.62/0.86 (step @p101 :rule eq_resolve :premises (@p13 @p100)) % 0.62/0.86 (step @p102 :rule instantiate :premises (@p101) :args ((@list tptp.one tptp.one tptp.one))) % 0.62/0.86 (step @p103 :rule instantiate :premises (@p78) :args ((@list @t72 tptp.one))) % 0.62/0.86 (step @p104 :rule symm :premises (@p55)) % 0.62/0.86 (step @p105 :rule symm :premises (@p42)) % 0.62/0.86 (step @p106 :rule refl :args (@t49)) % 0.62/0.86 (step @p107 :rule cong :premises (@p106 @p105) :args ((tptp.addition @t49 @t49))) % 0.62/0.86 (step @p108 :rule cong :premises (@p42 @p42) :args (@t73)) % 0.62/0.86 (step @p109 :rule trans :premises (@p108 @p107)) % 0.62/0.86 (step @p110 :rule cong :premises (@p109 @p104) :args ((tptp.addition @t73 @t73))) % 0.62/0.86 (step @p111 :rule symm :premises (@p51)) % 0.62/0.86 (step @p112 :rule trans :premises (@p111 @p55)) % 0.62/0.86 (step @p113 :rule symm :premises (@p108)) % 0.62/0.86 (step @p114 :rule trans :premises (@p111 @p55 @p108)) % 0.62/0.86 (step @p115 :rule trans :premises (@p105 @p51 @p114 @p113)) % 0.62/0.86 (step @p116 :rule cong :premises (@p115 @p112) :args ((tptp.addition @t49 @t74))) % 0.62/0.86 (step @p117 :rule cong :premises (@p42 @p51) :args (@t73)) % 0.62/0.86 (step @p118 :rule trans :premises (@p55 @p117 @p116 @p110)) % 0.62/0.86 (step @p119 :rule cnf_equiv_pos2 :args (@t77)) % 0.62/0.86 (step @p120 :rule reordering :premises (@p119) :args ((or @t76 (not @t75) (not @t77)))) % 0.62/0.86 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p103) :args (@t76 @t78 (@list @t75 @t77))) % 0.62/0.86 (step @p122 :rule cnf_or_pos :args (@t81)) % 0.62/0.86 (step @p123 :rule reordering :premises (@p122) :args ((or @t80 @t79 (not @t81)))) % 0.62/0.86 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p102) :args (@t79 @t78 (@list @t76 @t81))) % 0.62/0.86 (step @p125 :rule cnf_equiv_pos1 :args (@t84)) % 0.62/0.86 (step @p126 :rule reordering :premises (@p125) :args ((or @t83 (not @t79) (not @t84)))) % 0.62/0.86 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p98) :args (@t83 @t78 (@list @t79 @t84))) % 0.62/0.86 (assume-push @p267 @t86) % 0.62/0.86 (assume-push @p268 @t87) % 0.62/0.86 (assume-push @p269 @t89) % 0.62/0.86 (assume-push @p270 @t90) % 0.62/0.86 (assume-push @p271 @t91) % 0.62/0.86 (assume-push @p272 @t94) % 0.62/0.86 (assume-push @p273 @t96) % 0.62/0.86 (assume-push @p274 @t97) % 0.62/0.86 (assume-push @p275 @t99) % 0.62/0.86 (assume-push @p276 @t100) % 0.62/0.86 (assume-push @p277 @t102) % 0.62/0.86 (assume-push @p278 @t105) % 0.62/0.86 (assume-push @p279 @t106) % 0.62/0.86 (assume-push @p280 @t83) % 0.62/0.86 (assume-push @p281 @t109) % 0.62/0.86 (assume-push @p282 @t112) % 0.62/0.86 (assume-push @p283 @t113) % 0.62/0.86 (assume-push @p284 @t114) % 0.62/0.86 (assume-push @p285 @t115) % 0.62/0.86 (assume-push @p286 @t60) % 0.62/0.86 (assume-push @p287 @t118) % 0.62/0.86 (assume-push @p288 @t119) % 0.62/0.86 (assume-push @p289 @t120) % 0.62/0.86 (assume-push @p290 @t121) % 0.62/0.86 (step @p152 :rule refl :args (@t56)) % 0.62/0.86 (step @p153 :rule cong :premises (@p152 @p104) :args ((tptp.addition @t56 @t73))) % 0.62/0.86 (step @p154 :rule symm :premises (@p127)) % 0.62/0.86 (step @p155 :rule trans :premises (@p24 @p25 @p154 @p55)) % 0.62/0.86 (step @p156 :rule cong :premises (@p68 @p155) :args (@t88)) % 0.62/0.86 (step @p157 :rule symm :premises (@p26)) % 0.62/0.86 (step @p158 :rule symm :premises (@p34)) % 0.62/0.86 (step @p159 :rule symm :premises (@p40)) % 0.62/0.86 (step @p160 :rule symm :premises (@p36)) % 0.62/0.86 (step @p161 :rule trans :premises (@p160 @p159 @p158)) % 0.62/0.86 (step @p162 :rule cong :premises (@p161 @p88) :args ((tptp.addition @t95 @t45))) % 0.62/0.86 (step @p163 :rule symm :premises (@p68)) % 0.62/0.86 (step @p164 :rule cong :premises (@p105 @p88) :args (@t53)) % 0.62/0.86 (step @p61 :rule instantiate :premises (@p5) :args (@t59)) % 0.62/0.86 (step @p165 :rule refl :args (tptp.one)) % 0.62/0.86 (step @p166 :rule cong :premises (@p165 @p164) :args ((tptp.multiplication tptp.one @t53))) % 0.62/0.86 (step @p167 :rule symm :premises (@p164)) % 0.62/0.86 (step @p168 :rule trans :premises (@p68 @p167)) % 0.62/0.86 (step @p169 :rule symm :premises (@p73)) % 0.62/0.86 (step @p170 :rule cong :premises (@p105 @p169) :args ((tptp.addition @t49 @t103))) % 0.62/0.86 (step @p171 :rule refl :args (@t103)) % 0.62/0.86 (step @p172 :rule cong :premises (@p42 @p171) :args (@t104)) % 0.62/0.86 (step @p173 :rule trans :premises (@p47 @p172 @p170 @p111)) % 0.62/0.86 (step @p174 :rule symm :premises (@p48)) % 0.62/0.86 (step @p175 :rule symm :premises (@p47)) % 0.62/0.86 (step @p176 :rule symm :premises (@p172)) % 0.62/0.86 (step @p177 :rule symm :premises (@p170)) % 0.62/0.86 (step @p178 :rule trans :premises (@p24 @p25 @p154 @p51 @p177 @p176 @p175 @p48)) % 0.62/0.86 (step @p179 :rule symm :premises (@p56)) % 0.62/0.86 (step @p180 :rule symm :premises (@p30)) % 0.62/0.86 (step @p181 :rule cong :premises (@p158 @p165) :args (@t122)) % 0.62/0.86 (step @p182 :rule trans :premises (@p181 @p180 @p34 @p40)) % 0.62/0.86 (step @p183 :rule trans :premises (@p34 @p40)) % 0.62/0.86 (step @p184 :rule trans :premises (@p180 @p183)) % 0.62/0.86 (step @p185 :rule cong :premises (@p184 @p182) :args (@t123)) % 0.62/0.86 (step @p186 :rule trans :premises (@p185 @p179 @p159 @p158)) % 0.62/0.86 (step @p187 :rule trans :premises (@p186 @p178 @p174 @p173)) % 0.62/0.86 (step @p188 :rule cong :premises (@p187 @p168) :args ((tptp.multiplication @t123 @t45))) % 0.62/0.86 (step @p189 :rule symm :premises (@p186)) % 0.62/0.86 (step @p190 :rule cong :premises (@p189 @p88) :args (@t51)) % 0.62/0.86 (step @p191 :rule cong :premises (@p158 @p88) :args (@t98)) % 0.62/0.86 (step @p192 :rule trans :premises (@p41 @p191 @p190 @p188 @p166 @p61 @p164 @p163)) % 0.62/0.86 (step @p193 :rule symm :premises (@p161)) % 0.62/0.86 (step @p194 :rule symm :premises (@p24)) % 0.62/0.86 (step @p195 :rule symm :premises (@p25)) % 0.62/0.86 (step @p196 :rule symm :premises (@p69)) % 0.62/0.86 (step @p197 :rule refl :args (@t61)) % 0.62/0.86 (step @p198 :rule cong :premises (@p105 @p197) :args (@t116)) % 0.62/0.86 (step @p199 :rule trans :premises (@p67 @p198 @p196 @p47 @p172 @p170 @p111 @p127 @p195 @p194)) % 0.62/0.86 (step @p200 :rule symm :premises (@p67)) % 0.62/0.86 (step @p201 :rule symm :premises (@p198)) % 0.62/0.86 (step @p202 :rule trans :premises (@p69 @p201 @p200)) % 0.62/0.86 (step @p203 :rule trans :premises (@p177 @p176 @p175)) % 0.62/0.86 (step @p204 :rule trans :premises (@p51 @p203 @p202 @p199 @p193)) % 0.62/0.86 (step @p205 :rule cong :premises (@p204 @p192) :args (@t107)) % 0.62/0.86 (step @p206 :rule symm :premises (@p41)) % 0.62/0.86 (step @p207 :rule symm :premises (@p191)) % 0.62/0.86 (step @p208 :rule trans :premises (@p207 @p206)) % 0.62/0.86 (step @p209 :rule cong :premises (@p180 @p165) :args (@t48)) % 0.62/0.86 (step @p210 :rule trans :premises (@p209 @p180)) % 0.62/0.86 (step @p211 :rule cong :premises (@p210 @p88) :args (@t54)) % 0.62/0.86 (step @p212 :rule trans :premises (@p211 @p208)) % 0.62/0.86 (step @p213 :rule cong :premises (@p212 @p165) :args (@t110)) % 0.62/0.86 (step @p214 :rule trans :premises (@p213 @p49 @p205 @p162 @p157 @p156 @p153)) % 0.62/0.86 (step @p215 :rule symm :premises (@p168)) % 0.62/0.86 (step @p216 :rule cong :premises (@p215 @p214) :args (@t111)) % 0.62/0.86 (step @p217 :rule symm :premises (@p50)) % 0.62/0.86 (step @p218 :rule symm :premises (@p209)) % 0.62/0.86 (step @p219 :rule cong :premises (@p165 @p180) :args (@t92)) % 0.62/0.86 (step @p220 :rule trans :premises (@p219 @p158 @p30 @p218)) % 0.62/0.86 (step @p221 :rule cong :premises (@p106 @p220) :args (@t93)) % 0.62/0.86 (step @p222 :rule cong :premises (@p165 @p24) :args (@t47)) % 0.62/0.86 (step @p223 :rule trans :premises (@p34 @p222 @p35 @p221)) % 0.62/0.86 (step @p224 :rule cong :premises (@p223 @p88) :args (@t51)) % 0.62/0.86 (step @p225 :rule trans :premises (@p224 @p43)) % 0.62/0.86 (step @p226 :rule symm :premises (@p208)) % 0.62/0.86 (step @p227 :rule trans :premises (@p226 @p225)) % 0.62/0.86 (step @p228 :rule cong :premises (@p227 @p165) :args (@t108)) % 0.62/0.86 (step @p229 :rule symm :premises (@p49)) % 0.62/0.86 (step @p230 :rule symm :premises (@p205)) % 0.62/0.86 (step @p231 :rule symm :premises (@p162)) % 0.62/0.86 (step @p232 :rule symm :premises (@p156)) % 0.62/0.86 (step @p233 :rule symm :premises (@p153)) % 0.62/0.86 (step @p234 :rule trans :premises (@p233 @p232 @p26 @p231 @p230 @p229 @p228 @p217 @p216)) % 0.62/0.86 (step-pop @p291 :rule scope :premises (@p234)) % 0.62/0.86 (step-pop @p292 :rule scope :premises (@p291)) % 0.62/0.86 (step-pop @p293 :rule scope :premises (@p292)) % 0.62/0.86 (step-pop @p294 :rule scope :premises (@p293)) % 0.62/0.86 (step-pop @p295 :rule scope :premises (@p294)) % 0.62/0.86 (step-pop @p296 :rule scope :premises (@p295)) % 0.62/0.86 (step-pop @p297 :rule scope :premises (@p296)) % 0.62/0.86 (step-pop @p298 :rule scope :premises (@p297)) % 0.62/0.86 (step-pop @p299 :rule scope :premises (@p298)) % 0.62/0.86 (step-pop @p300 :rule scope :premises (@p299)) % 0.62/0.86 (step-pop @p301 :rule scope :premises (@p300)) % 0.62/0.86 (step-pop @p302 :rule scope :premises (@p301)) % 0.62/0.86 (step-pop @p303 :rule scope :premises (@p302)) % 0.62/0.86 (step-pop @p304 :rule scope :premises (@p303)) % 0.62/0.86 (step-pop @p305 :rule scope :premises (@p304)) % 0.62/0.86 (step-pop @p306 :rule scope :premises (@p305)) % 0.62/0.86 (step-pop @p307 :rule scope :premises (@p306)) % 0.62/0.86 (step-pop @p308 :rule scope :premises (@p307)) % 0.62/0.86 (step-pop @p309 :rule scope :premises (@p308)) % 0.62/0.86 (step-pop @p310 :rule scope :premises (@p309)) % 0.62/0.86 (step-pop @p311 :rule scope :premises (@p310)) % 0.62/0.86 (step-pop @p312 :rule scope :premises (@p311)) % 0.62/0.86 (step-pop @p313 :rule scope :premises (@p312)) % 0.62/0.86 (step-pop @p314 :rule scope :premises (@p313)) % 0.62/0.86 (step @p235 :rule process_scope :premises (@p314) :args (@t69)) % 0.62/0.86 (step @p260 :rule implies_elim :premises (@p235)) % 0.62/0.86 (step @p261 :rule cnf_and_neg :args (@t124)) % 0.62/0.86 (step @p262 :rule resolution :premises (@p261 @p260) :args (true @t124)) % 0.62/0.86 (step @p263 :rule reordering :premises (@p262) :args ((or (not @t86) (not @t87) (not @t89) (not @t90) (not @t91) (not @t94) (not @t96) (not @t97) (not @t99) (not @t100) (not @t102) (not @t105) (not @t106) (not @t83) @t69 (not @t109) (not @t112) (not @t113) (not @t114) (not @t115) (not @t60) (not @t118) (not @t119) (not @t120) (not @t121)))) % 0.62/0.86 (step @p264 false :rule chain_m_resolution :premises (@p263 @p127 @p97 @p73 @p69 @p68 @p67 @p66 @p56 @p55 @p51 @p50 @p49 @p48 @p47 @p43 @p42 @p41 @p40 @p36 @p35 @p34 @p30 @p26 @p25 @p24) :args (false (@list false true false false false false false false false false false false false false false false false false false false false false false false false) (@list @t83 @t69 @t121 @t120 @t119 @t118 @t60 @t115 @t114 @t113 @t112 @t109 @t106 @t105 @t102 @t100 @t99 @t97 @t96 @t94 @t91 @t90 @t89 @t87 @t86))) % 0.62/0.87 ) % 0.62/0.87 % SZS output end Proof % 0.62/0.87 % cvc5 exiting %------------------------------------------------------------------------------