%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE129+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE129+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.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 05:19:00 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.divergence (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.backward_box (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.forward_box (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.backward_diamond (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.zero $$unsorted) % 0.37/0.59 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.one $$unsorted) % 0.37/0.59 (declare-const tptp.antidomain (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.domain_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.coantidomain (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.forward_diamond (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.59 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.59 (define @t3 () (tptp.addition @t1 @t2)) % 0.37/0.59 (define @t4 () (@list @t1 @t2)) % 0.37/0.59 (define @t5 () (@var "C" $$unsorted)) % 0.37/0.59 (define @t6 () (tptp.addition @t2 @t5)) % 0.37/0.59 (define @t7 () (@list @t1)) % 0.37/0.59 (define @t8 () (tptp.addition @t1 @t1)) % 0.37/0.59 (define @t9 () (forall @t7 (= @t8 @t1))) % 0.37/0.59 (define @t10 () (tptp.multiplication @t1 @t2)) % 0.37/0.59 (define @t11 () (tptp.multiplication @t2 @t5)) % 0.37/0.59 (define @t12 () (@list @t1 @t2 @t5)) % 0.37/0.59 (define @t13 () (tptp.multiplication @t1 @t5)) % 0.37/0.59 (define @t14 () (@var "X0" $$unsorted)) % 0.37/0.59 (define @t15 () (tptp.antidomain @t14)) % 0.37/0.59 (define @t16 () (@list @t14)) % 0.37/0.59 (define @t17 () (@var "X1" $$unsorted)) % 0.37/0.59 (define @t18 () (tptp.antidomain @t17)) % 0.37/0.59 (define @t19 () (tptp.antidomain (tptp.multiplication @t14 (tptp.antidomain @t18)))) % 0.37/0.59 (define @t20 () (tptp.multiplication @t14 @t17)) % 0.37/0.59 (define @t21 () (@list @t14 @t17)) % 0.37/0.59 (define @t22 () (tptp.antidomain @t15)) % 0.37/0.59 (define @t23 () (tptp.domain @t14)) % 0.37/0.59 (define @t24 () (tptp.coantidomain @t14)) % 0.37/0.59 (define @t25 () (tptp.coantidomain @t24)) % 0.37/0.59 (define @t26 () (tptp.coantidomain (tptp.multiplication @t25 @t17))) % 0.37/0.59 (define @t27 () (tptp.domain @t17)) % 0.37/0.59 (define @t28 () (tptp.c @t17)) % 0.37/0.59 (define @t29 () (tptp.divergence @t14)) % 0.37/0.59 (define @t30 () (tptp.forward_diamond @t14 @t29)) % 0.37/0.59 (define @t31 () (forall @t16 (= @t30 @t29))) % 0.37/0.59 (define @t32 () (@var "X2" $$unsorted)) % 0.37/0.59 (define @t33 () (tptp.domain @t32)) % 0.37/0.59 (define @t34 () (tptp.addition (tptp.divergence @t17) (tptp.forward_diamond (tptp.star @t17) @t33))) % 0.37/0.59 (define @t35 () (tptp.addition (tptp.forward_diamond @t17 @t23) @t33)) % 0.37/0.59 (define @t36 () (tptp.forward_diamond @t14 @t27)) % 0.37/0.59 (define @t37 () (tptp.addition @t27 @t36)) % 0.37/0.59 (define @t38 () (=> (= @t37 @t36) (= @t27 tptp.zero))) % 0.37/0.59 (define @t39 () (@list @t17)) % 0.37/0.59 (define @t40 () (forall @t39 @t38)) % 0.37/0.59 (define @t41 () (=> @t40 (= @t29 tptp.zero))) % 0.37/0.59 (define @t42 () (forall @t16 @t41)) % 0.37/0.59 (define @t43 () (not @t42)) % 0.37/0.59 (define @t44 () (= tptp.zero @t29)) % 0.37/0.59 (define @t45 () (= tptp.zero @t27)) % 0.37/0.59 (define @t46 () (= @t36 @t37)) % 0.37/0.59 (define @t47 () (forall @t39 (or (not @t46) @t45))) % 0.37/0.59 (define @t48 () (@quantifiers_skolemize (forall @t16 (or (not @t47) @t44)) 0)) % 0.37/0.59 (define @t49 () (tptp.divergence @t48)) % 0.37/0.59 (define @t50 () (tptp.forward_diamond @t48 @t27)) % 0.37/0.59 (define @t51 () (forall @t39 (or (not (= @t50 (tptp.addition @t27 @t50))) @t45))) % 0.37/0.59 (define @t52 () (= tptp.zero @t49)) % 0.37/0.59 (define @t53 () (not @t51)) % 0.37/0.59 (define @t54 () (or @t53 @t52)) % 0.37/0.59 (define @t55 () (@list true)) % 0.37/0.59 (define @t56 () (@list @t54)) % 0.37/0.59 (define @t57 () (tptp.multiplication @t48 (tptp.domain @t49))) % 0.37/0.59 (define @t58 () (tptp.domain @t57)) % 0.37/0.59 (define @t59 () (= tptp.zero @t58)) % 0.37/0.59 (define @t60 () (tptp.forward_diamond @t48 @t58)) % 0.37/0.59 (define @t61 () (= @t60 (tptp.addition @t58 @t60))) % 0.37/0.59 (define @t62 () (not @t61)) % 0.37/0.59 (define @t63 () (or @t62 @t59)) % 0.37/0.59 (define @t64 () (tptp.addition @t60 @t60)) % 0.37/0.59 (define @t65 () (= @t60 @t64)) % 0.37/0.59 (define @t66 () (not @t65)) % 0.37/0.59 (define @t67 () (tptp.forward_diamond @t48 @t49)) % 0.37/0.59 (define @t68 () (= @t67 @t58)) % 0.37/0.59 (define @t69 () (not @t68)) % 0.37/0.59 (define @t70 () (= @t49 @t67)) % 0.37/0.59 (define @t71 () (not @t70)) % 0.37/0.59 (define @t72 () (and @t65 @t66)) % 0.37/0.59 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.37/0.59 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.37/0.59 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.37/0.59 (assume @p4 @t9) % 0.37/0.59 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 0.37/0.59 (assume @p6 (forall @t7 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.37/0.59 (assume @p7 (forall @t7 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.37/0.59 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t13)))) % 0.37/0.59 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t13 @t11)))) % 0.37/0.59 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.37/0.59 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.37/0.59 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.37/0.59 (assume @p13 (forall @t16 (= (tptp.multiplication @t15 @t14) tptp.zero))) % 0.37/0.59 (assume @p14 (forall @t21 (= (tptp.addition (tptp.antidomain @t20) @t19) @t19))) % 0.37/0.59 (assume @p15 (forall @t16 (= (tptp.addition @t22 @t15) tptp.one))) % 0.37/0.59 (assume @p16 (forall @t16 (= @t23 @t22))) % 0.37/0.59 (assume @p17 (forall @t16 (= (tptp.multiplication @t14 @t24) tptp.zero))) % 0.37/0.59 (assume @p18 (forall @t21 (= (tptp.addition (tptp.coantidomain @t20) @t26) @t26))) % 0.37/0.59 (assume @p19 (forall @t16 (= (tptp.addition @t25 @t24) tptp.one))) % 0.37/0.59 (assume @p20 (forall @t16 (= (tptp.codomain @t14) @t25))) % 0.37/0.59 (assume @p21 (forall @t16 (= (tptp.c @t14) (tptp.antidomain @t23)))) % 0.37/0.59 (assume @p22 (forall @t21 (= (tptp.domain_difference @t14 @t17) (tptp.multiplication @t23 @t18)))) % 0.37/0.59 (assume @p23 (forall @t21 (= (tptp.forward_diamond @t14 @t17) (tptp.domain (tptp.multiplication @t14 @t27))))) % 0.37/0.59 (assume @p24 (forall @t21 (= (tptp.backward_diamond @t14 @t17) (tptp.codomain (tptp.multiplication (tptp.codomain @t17) @t14))))) % 0.37/0.59 (assume @p25 (forall @t21 (= (tptp.forward_box @t14 @t17) (tptp.c (tptp.forward_diamond @t14 @t28))))) % 0.37/0.59 (assume @p26 (forall @t21 (= (tptp.backward_box @t14 @t17) (tptp.c (tptp.backward_diamond @t14 @t28))))) % 0.37/0.59 (assume @p27 @t31) % 0.37/0.59 (assume @p28 (forall (@list @t14 @t17 @t32) (=> (= (tptp.addition @t23 @t35) @t35) (= (tptp.addition @t23 @t34) @t34)))) % 0.37/0.59 (assume @p29 @t43) % 0.37/0.59 (assume @p30 true) % 0.37/0.59 (step @p31 :rule eq-symm :args (@t30 @t29)) % 0.37/0.59 (step @p32 :rule cong :premises (@p31) :args (@t31)) % 0.37/0.59 (step @p33 :rule eq_resolve :premises (@p27 @p32)) % 0.37/0.59 (step @p34 :rule instantiate :premises (@p33) :args ((@list @t48))) % 0.37/0.59 (step @p35 :rule instantiate :premises (@p23) :args ((@list @t48 @t49))) % 0.37/0.59 (step @p36 :rule bool-impl-elim :args (@t47 @t44)) % 0.37/0.59 (step @p37 :rule cong :premises (@p36) :args ((forall @t16 (=> @t47 @t44)))) % 0.37/0.59 (step @p38 :rule eq-symm :args (@t29 tptp.zero)) % 0.37/0.59 (step @p39 :rule bool-impl-elim :args (@t46 @t45)) % 0.37/0.59 (step @p40 :rule cong :premises (@p39) :args ((forall @t39 (=> @t46 @t45)))) % 0.37/0.59 (step @p41 :rule eq-symm :args (@t27 tptp.zero)) % 0.37/0.59 (step @p42 :rule eq-symm :args (@t37 @t36)) % 0.37/0.59 (step @p43 :rule cong :premises (@p42 @p41) :args (@t38)) % 0.37/0.59 (step @p44 :rule cong :premises (@p43) :args (@t40)) % 0.37/0.59 (step @p45 :rule trans :premises (@p44 @p40)) % 0.37/0.59 (step @p46 :rule cong :premises (@p45 @p38) :args (@t41)) % 0.37/0.59 (step @p47 :rule cong :premises (@p46) :args (@t42)) % 0.37/0.59 (step @p48 :rule trans :premises (@p47 @p37)) % 0.37/0.59 (step @p49 :rule cong :premises (@p48) :args (@t43)) % 0.37/0.59 (step @p50 :rule eq_resolve :premises (@p29 @p49)) % 0.37/0.59 (step @p51 :rule skolemize :premises (@p50)) % 0.37/0.59 (step @p52 :rule bool-double-not-elim :args (@t51)) % 0.37/0.59 (step @p53 :rule refl :args (@t54)) % 0.37/0.59 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t54 (not @t53)))) % 0.37/0.59 (step @p55 :rule cnf_or_neg :args (@t54 0)) % 0.37/0.59 (step @p56 :rule eq_resolve :premises (@p55 @p54)) % 0.37/0.59 (step @p57 :rule reordering :premises (@p56) :args ((or @t51 @t54))) % 0.37/0.59 (step @p58 :rule chain_m_resolution :premises (@p57 @p51) :args (@t51 @t55 @t56)) % 0.37/0.59 (step @p59 :rule instantiate :premises (@p58) :args ((@list @t57))) % 0.37/0.59 (step @p60 :rule cnf_or_neg :args (@t54 1)) % 0.37/0.59 (step @p61 :rule chain_m_resolution :premises (@p60 @p51) :args ((not @t52) @t55 @t56)) % 0.37/0.60 (step @p62 :rule false_intro :premises (@p61)) % 0.37/0.60 (step @p63 :rule symm :premises (@p34)) % 0.37/0.60 (step @p64 :rule symm :premises (@p35)) % 0.37/0.60 (step @p65 :rule trans :premises (@p64 @p63)) % 0.37/0.60 (step @p66 :rule refl :args (tptp.zero)) % 0.37/0.60 (step @p67 :rule cong :premises (@p66 @p65) :args (@t59)) % 0.37/0.60 (step @p68 :rule trans :premises (@p67 @p62)) % 0.37/0.60 (step @p69 :rule false_elim :premises (@p68)) % 0.37/0.60 (step @p70 :rule cnf_or_pos :args (@t63)) % 0.37/0.60 (step @p71 :rule reordering :premises (@p70) :args ((or @t62 @t59 (not @t63)))) % 0.37/0.60 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p59) :args (@t62 (@list true false) (@list @t59 @t63))) % 0.37/0.60 (step @p73 :rule eq-symm :args (@t8 @t1)) % 0.37/0.60 (step @p74 :rule cong :premises (@p73) :args (@t9)) % 0.37/0.60 (step @p75 :rule eq_resolve :premises (@p4 @p74)) % 0.37/0.60 (step @p76 :rule instantiate :premises (@p75) :args ((@list @t60))) % 0.37/0.60 (step @p77 :rule refl :args (@t66)) % 0.37/0.60 (step @p78 :rule bool-double-not-elim :args (@t61)) % 0.37/0.60 (step @p79 :rule refl :args (@t69)) % 0.37/0.60 (step @p80 :rule refl :args (@t71)) % 0.37/0.60 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78 @p77) :args ((or @t71 @t69 (not @t62) @t66))) % 0.37/0.60 (assume-push @p117 @t65) % 0.37/0.60 (assume-push @p118 @t66) % 0.37/0.60 (step @p84 :rule evaluate :args ((= false true))) % 0.37/0.60 (step @p85 :rule true_intro :premises (@p76)) % 0.37/0.60 (step @p86 :rule false_intro :premises (@p72)) % 0.37/0.60 (step @p87 :rule refl :args (@t60)) % 0.37/0.60 (step @p88 :rule refl :args (@t48)) % 0.37/0.60 (step @p89 :rule cong :premises (@p88 @p65) :args (@t60)) % 0.37/0.60 (step @p90 :rule trans :premises (@p89 @p35)) % 0.37/0.60 (step @p91 :rule cong :premises (@p90 @p87) :args (@t64)) % 0.37/0.60 (step @p92 :rule cong :premises (@p87 @p91) :args (@t65)) % 0.37/0.60 (step @p93 :rule trans :premises (@p92 @p86)) % 0.37/0.60 (step @p94 :rule symm :premises (@p93)) % 0.37/0.60 (step @p95 :rule trans :premises (@p94 @p85)) % 0.37/0.60 (step @p96 false :rule eq_resolve :premises (@p95 @p84)) % 0.37/0.60 (step-pop @p119 :rule scope :premises (@p96)) % 0.37/0.60 (step-pop @p120 :rule scope :premises (@p119)) % 0.37/0.60 (step @p97 :rule process_scope :premises (@p120) :args (false)) % 0.37/0.60 (assume-push @p121 @t70) % 0.37/0.60 (assume-push @p122 @t68) % 0.37/0.60 (assume-push @p123 @t62) % 0.37/0.60 (assume-push @p124 @t65) % 0.37/0.60 (step @p86 :rule false_intro :premises (@p72)) % 0.37/0.60 (step @p87 :rule refl :args (@t60)) % 0.37/0.60 (step @p88 :rule refl :args (@t48)) % 0.37/0.60 (step @p89 :rule cong :premises (@p88 @p65) :args (@t60)) % 0.37/0.60 (step @p90 :rule trans :premises (@p89 @p35)) % 0.37/0.60 (step @p91 :rule cong :premises (@p90 @p87) :args (@t64)) % 0.37/0.60 (step @p92 :rule cong :premises (@p87 @p91) :args (@t65)) % 0.37/0.60 (step @p104 :rule trans :premises (@p92 @p86)) % 0.37/0.60 (step @p105 :rule false_elim :premises (@p104)) % 0.37/0.60 (step @p106 :rule and_intro :premises (@p76 @p105)) % 0.37/0.60 (step-pop @p125 :rule scope :premises (@p106)) % 0.37/0.60 (step-pop @p126 :rule scope :premises (@p125)) % 0.37/0.60 (step-pop @p127 :rule scope :premises (@p126)) % 0.37/0.60 (step-pop @p128 :rule scope :premises (@p127)) % 0.37/0.60 (step @p107 :rule process_scope :premises (@p128) :args (@t72)) % 0.37/0.60 (step @p112 :rule implies_elim :premises (@p107)) % 0.37/0.60 (step @p113 :rule resolution :premises (@p112 @p97) :args (true @t72)) % 0.37/0.60 (step @p114 :rule not_and :premises (@p113)) % 0.37/0.60 (step @p115 :rule eq_resolve :premises (@p114 @p81)) % 0.37/0.60 (step @p116 false :rule chain_m_resolution :premises (@p115 @p76 @p72 @p35 @p34) :args (false (@list false true false false) (@list @t65 @t61 @t68 @t70))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------