%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE147+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 08:28:24 AM UTC 2026 % Result : Theorem 36.05s 36.21s % Output : Proof 36.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE147+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 % 0.17/0.34 % Computer : n022.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:20:38 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 36.05/36.21 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 36.05/36.21 --- Run --no-e-matching --full-saturate-quant at 6... % 36.05/36.21 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 36.05/36.21 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 36.05/36.21 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 36.05/36.21 % SZS status Theorem % 36.05/36.21 % SZS output start Proof % 36.05/36.21 ( % 36.05/36.21 (declare-sort $$unsorted 0) % 36.05/36.21 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 36.05/36.21 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 36.05/36.21 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 36.05/36.21 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 36.05/36.21 (declare-const tptp.zero $$unsorted) % 36.05/36.21 (declare-const tptp.one $$unsorted) % 36.05/36.21 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 36.05/36.21 (define @t1 () (@var "A" $$unsorted)) % 36.05/36.21 (define @t2 () (@var "B" $$unsorted)) % 36.05/36.21 (define @t3 () (tptp.addition @t1 @t2)) % 36.05/36.21 (define @t4 () (@list @t1 @t2)) % 36.05/36.21 (define @t5 () (@var "C" $$unsorted)) % 36.05/36.21 (define @t6 () (tptp.addition @t2 @t5)) % 36.05/36.21 (define @t7 () (@list @t1)) % 36.05/36.21 (define @t8 () (tptp.addition @t1 @t1)) % 36.05/36.21 (define @t9 () (forall @t7 (= @t8 @t1))) % 36.05/36.21 (define @t10 () (tptp.multiplication @t1 @t2)) % 36.05/36.21 (define @t11 () (tptp.multiplication @t2 @t5)) % 36.05/36.21 (define @t12 () (@list @t1 @t2 @t5)) % 36.05/36.21 (define @t13 () (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 36.05/36.21 (define @t14 () (tptp.multiplication tptp.one @t1)) % 36.05/36.21 (define @t15 () (forall @t7 (= @t14 @t1))) % 36.05/36.21 (define @t16 () (tptp.multiplication @t1 @t5)) % 36.05/36.21 (define @t17 () (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t16 @t11)))) % 36.05/36.21 (define @t18 () (tptp.star @t1)) % 36.05/36.21 (define @t19 () (tptp.addition tptp.one (tptp.multiplication @t1 @t18))) % 36.05/36.21 (define @t20 () (forall @t7 (= @t19 @t18))) % 36.05/36.21 (define @t21 () (tptp.addition tptp.one (tptp.multiplication @t18 @t1))) % 36.05/36.21 (define @t22 () (forall @t7 (= @t21 @t18))) % 36.05/36.21 (define @t23 () (tptp.leq (tptp.multiplication @t18 @t2) @t5)) % 36.05/36.21 (define @t24 () (tptp.addition @t16 @t2)) % 36.05/36.21 (define @t25 () (tptp.leq @t24 @t5)) % 36.05/36.21 (define @t26 () (forall @t12 (=> @t25 @t23))) % 36.05/36.21 (define @t27 () (tptp.strong_iteration @t1)) % 36.05/36.21 (define @t28 () (tptp.leq @t1 @t2)) % 36.05/36.21 (define @t29 () (= @t28 (= @t3 @t2))) % 36.05/36.21 (define @t30 () (forall @t4 @t29)) % 36.05/36.21 (define @t31 () (@var "X1" $$unsorted)) % 36.05/36.21 (define @t32 () (@var "X0" $$unsorted)) % 36.05/36.21 (define @t33 () (tptp.strong_iteration (tptp.multiplication (tptp.star @t32) @t31))) % 36.05/36.21 (define @t34 () (forall (@list @t32 @t31) (= @t33 (tptp.multiplication (tptp.star @t31) @t33)))) % 36.05/36.21 (define @t35 () (@quantifiers_skolemize @t34 1)) % 36.05/36.21 (define @t36 () (@quantifiers_skolemize @t34 0)) % 36.05/36.21 (define @t37 () (tptp.star @t36)) % 36.05/36.21 (define @t38 () (tptp.multiplication @t37 @t35)) % 36.05/36.21 (define @t39 () (tptp.strong_iteration @t38)) % 36.05/36.21 (define @t40 () (tptp.multiplication @t38 @t39)) % 36.05/36.21 (define @t41 () (tptp.addition @t40 tptp.one)) % 36.05/36.21 (define @t42 () (@list @t39)) % 36.05/36.21 (define @t43 () (= @t39 (tptp.addition @t41 @t39))) % 36.05/36.21 (define @t44 () (tptp.leq @t41 @t39)) % 36.05/36.21 (define @t45 () (= @t44 @t43)) % 36.05/36.21 (define @t46 () (tptp.multiplication @t35 @t39)) % 36.05/36.21 (define @t47 () (tptp.multiplication @t36 @t37)) % 36.05/36.21 (define @t48 () (tptp.addition tptp.one tptp.one)) % 36.05/36.21 (define @t49 () (tptp.addition tptp.one @t37)) % 36.05/36.21 (define @t50 () (tptp.multiplication @t37 @t46)) % 36.05/36.21 (define @t51 () (= @t50 @t40)) % 36.05/36.21 (define @t52 () (@list false)) % 36.05/36.21 (define @t53 () (tptp.addition @t46 @t40)) % 36.05/36.21 (define @t54 () (tptp.addition @t46 @t39)) % 36.05/36.21 (define @t55 () (tptp.leq @t54 @t39)) % 36.05/36.21 (define @t56 () (tptp.star @t35)) % 36.05/36.21 (define @t57 () (tptp.multiplication @t56 @t39)) % 36.05/36.21 (define @t58 () (tptp.addition @t57 tptp.one)) % 36.05/36.21 (define @t59 () (@list @t35)) % 36.05/36.21 (define @t60 () (tptp.multiplication @t56 @t35)) % 36.05/36.21 (define @t61 () (tptp.addition tptp.one @t60)) % 36.05/36.21 (define @t62 () (tptp.multiplication @t35 @t60)) % 36.05/36.21 (define @t63 () (tptp.multiplication @t35 tptp.one)) % 36.05/36.21 (define @t64 () (tptp.addition tptp.one @t63)) % 36.05/36.21 (define @t65 () (tptp.addition tptp.one @t56)) % 36.05/36.21 (define @t66 () (tptp.multiplication @t65 @t39)) % 36.05/36.21 (define @t67 () (tptp.multiplication tptp.one @t39)) % 36.05/36.21 (define @t68 () (tptp.addition @t67 @t57)) % 36.05/36.21 (define @t69 () (= @t66 @t68)) % 36.05/36.21 (define @t70 () (tptp.multiplication @t60 @t39)) % 36.05/36.21 (define @t71 () (tptp.addition tptp.one @t39)) % 36.05/36.21 (define @t72 () (tptp.addition tptp.one @t67)) % 36.05/36.21 (define @t73 () (tptp.addition tptp.one @t57)) % 36.05/36.21 (define @t74 () (= @t39 (tptp.addition @t58 @t39))) % 36.05/36.21 (define @t75 () (tptp.leq @t58 @t39)) % 36.05/36.21 (define @t76 () (= @t75 @t74)) % 36.05/36.21 (define @t77 () (not @t75)) % 36.05/36.21 (define @t78 () (@list true false)) % 36.05/36.21 (define @t79 () (tptp.addition @t67 @t70)) % 36.05/36.21 (define @t80 () (tptp.addition tptp.one @t40)) % 36.05/36.21 (define @t81 () (tptp.leq @t57 @t39)) % 36.05/36.21 (define @t82 () (not @t55)) % 36.05/36.21 (define @t83 () (or @t82 @t81)) % 36.05/36.21 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 36.05/36.21 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 36.05/36.21 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 36.05/36.21 (assume @p4 @t9) % 36.05/36.21 (assume @p5 @t13) % 36.05/36.21 (assume @p6 (forall @t7 (= (tptp.multiplication @t1 tptp.one) @t1))) % 36.05/36.21 (assume @p7 @t15) % 36.05/36.21 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t16)))) % 36.05/36.21 (assume @p9 @t17) % 36.05/36.21 (assume @p10 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 36.05/36.21 (assume @p11 @t20) % 36.05/36.21 (assume @p12 @t22) % 36.05/36.21 (assume @p13 @t26) % 36.05/36.21 (assume @p14 (forall @t12 (=> (tptp.leq (tptp.addition (tptp.multiplication @t5 @t1) @t2) @t5) (tptp.leq (tptp.multiplication @t2 @t18) @t5)))) % 36.05/36.21 (assume @p15 (forall @t7 (= @t27 (tptp.addition (tptp.multiplication @t1 @t27) tptp.one)))) % 36.05/36.21 (assume @p16 (forall @t12 (=> (tptp.leq @t5 @t24) (tptp.leq @t5 (tptp.multiplication @t27 @t2))))) % 36.05/36.21 (assume @p17 (forall @t7 (= @t27 (tptp.addition @t18 (tptp.multiplication @t27 tptp.zero))))) % 36.05/36.21 (assume @p18 @t30) % 36.05/36.21 (assume @p19 (not @t34)) % 36.05/36.21 (assume @p20 true) % 36.05/36.21 (step @p21 :rule evaluate :args ((= false true))) % 36.05/36.21 (step @p22 :rule eq-symm :args (@t3 @t2)) % 36.05/36.21 (step @p23 :rule refl :args (@t28)) % 36.05/36.21 (step @p24 :rule cong :premises (@p23 @p22) :args (@t29)) % 36.05/36.21 (step @p25 :rule cong :premises (@p24) :args (@t30)) % 36.05/36.21 (step @p26 :rule eq_resolve :premises (@p18 @p25)) % 36.05/36.21 (step @p27 :rule instantiate :premises (@p26) :args ((@list @t41 @t39))) % 36.05/36.21 (step @p28 :rule refl :args (@t39)) % 36.05/36.21 (step @p29 :rule instantiate :premises (@p15) :args ((@list @t38))) % 36.05/36.21 (step @p30 :rule cong :premises (@p29 @p28) :args ((tptp.addition @t39 @t39))) % 36.05/36.21 (step @p31 :rule eq-symm :args (@t8 @t1)) % 36.05/36.21 (step @p32 :rule cong :premises (@p31) :args (@t9)) % 36.05/36.21 (step @p33 :rule eq_resolve :premises (@p4 @p32)) % 36.05/36.21 (step @p34 :rule instantiate :premises (@p33) :args (@t42)) % 36.05/36.21 (step @p35 :rule trans :premises (@p34 @p30)) % 36.05/36.21 (step @p36 :rule cnf_equiv_pos2 :args (@t45)) % 36.05/36.21 (step @p37 :rule reordering :premises (@p36) :args ((or @t44 (not @t43) (not @t45)))) % 36.05/36.21 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p27) :args (@t44 (@list false false) (@list @t43 @t45))) % 36.05/36.21 (step @p39 :rule true_intro :premises (@p38)) % 36.05/36.21 (step @p40 :rule refl :args (tptp.one)) % 36.05/36.21 (step @p41 :rule instantiate :premises (@p5) :args ((@list @t37 @t35 @t39))) % 36.05/36.21 (step @p42 :rule refl :args (@t46)) % 36.05/36.21 (step @p43 :rule eq-symm :args (@t19 @t18)) % 36.05/36.21 (step @p44 :rule cong :premises (@p43) :args (@t20)) % 36.05/36.21 (step @p45 :rule eq_resolve :premises (@p11 @p44)) % 36.05/36.21 (step @p46 :rule instantiate :premises (@p45) :args ((@list @t36))) % 36.05/36.21 (step @p47 :rule symm :premises (@p46)) % 36.05/36.21 (step @p48 :rule refl :args (@t47)) % 36.05/36.21 (step @p49 :rule instantiate :premises (@p33) :args ((@list tptp.one))) % 36.05/36.21 (step @p50 :rule symm :premises (@p49)) % 36.05/36.21 (step @p51 :rule cong :premises (@p50 @p48) :args ((tptp.addition @t48 @t47))) % 36.05/36.21 (step @p52 :rule instantiate :premises (@p2) :args ((@list @t47 tptp.one tptp.one))) % 36.05/36.21 (step @p53 :rule cong :premises (@p40 @p46) :args (@t49)) % 36.05/36.21 (step @p54 :rule trans :premises (@p53 @p52 @p51 @p47)) % 36.05/36.21 (step @p55 :rule cong :premises (@p54 @p42) :args ((tptp.multiplication @t49 @t46))) % 36.05/36.21 (step @p56 :rule instantiate :premises (@p9) :args ((@list tptp.one @t37 @t46))) % 36.05/36.21 (step @p57 :rule symm :premises (@p56)) % 36.05/36.21 (step @p58 :rule eq-symm :args (@t50 @t40)) % 36.05/36.21 (step @p59 :rule refl :args (@t13)) % 36.05/36.21 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t13 @t51))) % 36.05/36.21 (assume-push @p181 @t13) % 36.05/36.21 (step-pop @p182 :rule scope :premises (@p41)) % 36.05/36.21 (step @p62 :rule process_scope :premises (@p182) :args (@t51)) % 36.05/36.21 (step @p64 :rule eq_resolve :premises (@p62 @p60)) % 36.05/36.21 (step @p65 :rule implies_elim :premises (@p64)) % 36.05/36.21 (step @p66 :rule chain_m_resolution :premises (@p65 @p5) :args ((= @t40 @t50) @t52 (@list @t13))) % 36.05/36.21 (step @p67 :rule eq-symm :args (@t14 @t1)) % 36.05/36.21 (step @p68 :rule cong :premises (@p67) :args (@t15)) % 36.05/36.21 (step @p69 :rule eq_resolve :premises (@p7 @p68)) % 36.05/36.21 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t46))) % 36.05/36.21 (step @p71 :rule cong :premises (@p70 @p66) :args (@t53)) % 36.05/36.21 (step @p72 :rule trans :premises (@p71 @p57 @p55 @p41)) % 36.05/36.21 (step @p73 :rule cong :premises (@p72 @p40) :args ((tptp.addition @t53 tptp.one))) % 36.05/36.21 (step @p74 :rule instantiate :premises (@p2) :args ((@list tptp.one @t40 @t46))) % 36.05/36.21 (step @p75 :rule cong :premises (@p42 @p29) :args (@t54)) % 36.05/36.21 (step @p76 :rule trans :premises (@p75 @p74 @p73)) % 36.05/36.21 (step @p77 :rule cong :premises (@p76 @p28) :args (@t55)) % 36.05/36.21 (step @p78 :rule bool-impl-elim :args (@t25 @t23)) % 36.05/36.21 (step @p79 :rule cong :premises (@p78) :args (@t26)) % 36.05/36.21 (step @p80 :rule eq_resolve :premises (@p13 @p79)) % 36.05/36.21 (step @p81 :rule instantiate :premises (@p80) :args ((@list @t35 @t39 @t39))) % 36.05/36.21 (step @p82 :rule instantiate :premises (@p26) :args ((@list @t58 @t39))) % 36.05/36.21 (step @p83 :rule skolemize :premises (@p19)) % 36.05/36.21 (step @p84 :rule false_intro :premises (@p83)) % 36.05/36.21 (step @p85 :rule instantiate :premises (@p45) :args (@t59)) % 36.05/36.21 (step @p86 :rule symm :premises (@p85)) % 36.05/36.21 (step @p87 :rule eq-symm :args (@t21 @t18)) % 36.05/36.21 (step @p88 :rule cong :premises (@p87) :args (@t22)) % 36.05/36.21 (step @p89 :rule eq_resolve :premises (@p12 @p88)) % 36.05/36.21 (step @p90 :rule instantiate :premises (@p89) :args (@t59)) % 36.05/36.21 (step @p91 :rule symm :premises (@p90)) % 36.05/36.21 (step @p92 :rule refl :args (@t35)) % 36.05/36.21 (step @p93 :rule cong :premises (@p92 @p91) :args ((tptp.multiplication @t35 @t61))) % 36.05/36.21 (step @p94 :rule instantiate :premises (@p8) :args ((@list @t35 tptp.one @t60))) % 36.05/36.21 (step @p95 :rule symm :premises (@p94)) % 36.05/36.21 (step @p96 :rule trans :premises (@p95 @p93)) % 36.05/36.21 (step @p97 :rule cong :premises (@p40 @p96) :args ((tptp.addition tptp.one (tptp.addition @t63 @t62)))) % 36.05/36.21 (step @p98 :rule instantiate :premises (@p2) :args ((@list @t62 @t63 tptp.one))) % 36.05/36.21 (step @p99 :rule symm :premises (@p98)) % 36.05/36.21 (step @p100 :rule refl :args (@t62)) % 36.05/36.21 (step @p101 :rule refl :args (@t63)) % 36.05/36.21 (step @p102 :rule cong :premises (@p50 @p101) :args ((tptp.addition @t48 @t63))) % 36.05/36.21 (step @p103 :rule instantiate :premises (@p2) :args ((@list @t63 tptp.one tptp.one))) % 36.05/36.21 (step @p104 :rule trans :premises (@p103 @p102)) % 36.05/36.21 (step @p105 :rule cong :premises (@p104 @p100) :args ((tptp.addition (tptp.addition tptp.one @t64) @t62))) % 36.05/36.21 (step @p106 :rule instantiate :premises (@p2) :args ((@list @t62 @t64 tptp.one))) % 36.05/36.21 (step @p107 :rule symm :premises (@p97)) % 36.05/36.21 (step @p108 :rule trans :premises (@p85 @p107 @p98)) % 36.05/36.21 (step @p109 :rule cong :premises (@p40 @p108) :args (@t65)) % 36.05/36.21 (step @p110 :rule trans :premises (@p109 @p106 @p105 @p99 @p97 @p86)) % 36.05/36.21 (step @p111 :rule cong :premises (@p110 @p28) :args (@t66)) % 36.05/36.21 (step @p112 :rule eq-symm :args (@t66 @t68)) % 36.05/36.21 (step @p113 :rule refl :args (@t17)) % 36.05/36.21 (step @p114 :rule cong :premises (@p113 @p112) :args ((=> @t17 @t69))) % 36.05/36.21 (assume-push @p183 @t17) % 36.05/36.21 (step @p116 :rule instantiate :premises (@p9) :args ((@list tptp.one @t56 @t39))) % 36.05/36.21 (step-pop @p184 :rule scope :premises (@p116)) % 36.05/36.21 (step @p117 :rule process_scope :premises (@p184) :args (@t69)) % 36.05/36.21 (step @p119 :rule eq_resolve :premises (@p117 @p114)) % 36.05/36.21 (step @p120 :rule implies_elim :premises (@p119)) % 36.05/36.21 (step @p121 :rule chain_m_resolution :premises (@p120 @p9) :args ((= @t68 @t66) @t52 (@list @t17))) % 36.05/36.21 (step @p122 :rule refl :args (@t57)) % 36.05/36.21 (step @p123 :rule instantiate :premises (@p69) :args (@t42)) % 36.05/36.21 (step @p124 :rule cong :premises (@p123 @p122) :args ((tptp.addition @t39 @t57))) % 36.05/36.21 (step @p125 :rule cong :premises (@p91 @p28) :args ((tptp.multiplication @t61 @t39))) % 36.05/36.21 (step @p126 :rule instantiate :premises (@p9) :args ((@list tptp.one @t60 @t39))) % 36.05/36.21 (step @p127 :rule symm :premises (@p126)) % 36.05/36.21 (step @p128 :rule refl :args (@t70)) % 36.05/36.21 (step @p129 :rule symm :premises (@p29)) % 36.05/36.21 (step @p130 :rule instantiate :premises (@p1) :args ((@list @t40 tptp.one))) % 36.05/36.21 (step @p131 :rule symm :premises (@p130)) % 36.05/36.21 (step @p132 :rule refl :args (@t40)) % 36.05/36.21 (step @p133 :rule cong :premises (@p50 @p132) :args ((tptp.addition @t48 @t40))) % 36.05/36.21 (step @p134 :rule instantiate :premises (@p2) :args ((@list @t40 tptp.one tptp.one))) % 36.05/36.21 (step @p135 :rule trans :premises (@p29 @p130)) % 36.05/36.21 (step @p136 :rule cong :premises (@p40 @p135) :args (@t71)) % 36.05/36.21 (step @p137 :rule symm :premises (@p123)) % 36.05/36.21 (step @p138 :rule cong :premises (@p40 @p137) :args (@t72)) % 36.05/36.21 (step @p139 :rule trans :premises (@p138 @p136 @p134 @p133 @p131 @p129 @p123)) % 36.05/36.21 (step @p140 :rule cong :premises (@p139 @p128) :args ((tptp.addition @t72 @t70))) % 36.05/36.21 (step @p141 :rule instantiate :premises (@p2) :args ((@list @t70 @t67 tptp.one))) % 36.05/36.21 (step @p142 :rule symm :premises (@p125)) % 36.05/36.21 (step @p143 :rule trans :premises (@p142 @p126)) % 36.05/36.21 (step @p144 :rule cong :premises (@p40 @p143) :args (@t73)) % 36.05/36.21 (step @p145 :rule trans :premises (@p144 @p141 @p140 @p127 @p125)) % 36.05/36.21 (step @p146 :rule cong :premises (@p28 @p145) :args ((tptp.addition @t39 @t73))) % 36.05/36.21 (step @p147 :rule instantiate :premises (@p1) :args ((@list @t57 tptp.one))) % 36.05/36.21 (step @p148 :rule cong :premises (@p28 @p147) :args ((tptp.addition @t39 @t58))) % 36.05/36.21 (step @p149 :rule instantiate :premises (@p1) :args ((@list @t39 @t58))) % 36.05/36.21 (step @p150 :rule symm :premises (@p149)) % 36.05/36.21 (step @p151 :rule trans :premises (@p150 @p148 @p146 @p124 @p121 @p111)) % 36.05/36.21 (step @p152 :rule cong :premises (@p28 @p151) :args (@t74)) % 36.05/36.21 (step @p153 :rule trans :premises (@p152 @p84)) % 36.05/36.21 (step @p154 :rule false_elim :premises (@p153)) % 36.05/36.21 (step @p155 :rule cnf_equiv_pos1 :args (@t76)) % 36.05/36.21 (step @p156 :rule reordering :premises (@p155) :args ((or @t77 @t74 (not @t76)))) % 36.05/36.21 (step @p157 :rule chain_m_resolution :premises (@p156 @p154 @p82) :args (@t77 @t78 (@list @t74 @t76))) % 36.05/36.21 (step @p158 :rule false_intro :premises (@p157)) % 36.05/36.21 (step @p159 :rule symm :premises (@p147)) % 36.05/36.21 (step @p160 :rule trans :premises (@p127 @p125)) % 36.05/36.21 (step @p161 :rule cong :premises (@p40 @p160) :args ((tptp.addition tptp.one @t79))) % 36.05/36.21 (step @p162 :rule symm :premises (@p141)) % 36.05/36.21 (step @p163 :rule cong :premises (@p40 @p123) :args (@t71)) % 36.05/36.21 (step @p164 :rule trans :premises (@p131 @p129)) % 36.05/36.21 (step @p165 :rule cong :premises (@p40 @p164) :args ((tptp.addition tptp.one @t80))) % 36.05/36.21 (step @p166 :rule symm :premises (@p134)) % 36.05/36.21 (step @p167 :rule cong :premises (@p49 @p132) :args (@t80)) % 36.05/36.21 (step @p168 :rule trans :premises (@p137 @p29 @p130 @p167 @p166 @p165 @p163)) % 36.05/36.21 (step @p169 :rule cong :premises (@p168 @p128) :args (@t79)) % 36.05/36.21 (step @p170 :rule trans :premises (@p142 @p126 @p169 @p162 @p161 @p159)) % 36.05/36.21 (step @p171 :rule cong :premises (@p170 @p28) :args (@t81)) % 36.05/36.21 (step @p172 :rule trans :premises (@p171 @p158)) % 36.05/36.21 (step @p173 :rule false_elim :premises (@p172)) % 36.05/36.21 (step @p174 :rule cnf_or_pos :args (@t83)) % 36.05/36.21 (step @p175 :rule reordering :premises (@p174) :args ((or @t82 @t81 (not @t83)))) % 36.05/36.21 (step @p176 :rule chain_m_resolution :premises (@p175 @p173 @p81) :args (@t82 @t78 (@list @t81 @t83))) % 36.05/36.21 (step @p177 :rule false_intro :premises (@p176)) % 36.05/36.21 (step @p178 :rule symm :premises (@p177)) % 36.05/36.21 (step @p179 :rule trans :premises (@p178 @p77 @p39)) % 36.05/36.21 (step @p180 false :rule eq_resolve :premises (@p179 @p21)) % 36.05/36.21 ) % 36.05/36.21 % SZS output end Proof % 36.05/36.21 % cvc5 exiting %------------------------------------------------------------------------------