%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS175+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:29:04 AM UTC 2026 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : KRS175+1 : TPTP v9.2.1. Released v3.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n001.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 05:29:20 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.ia $$unsorted) % 0.39/0.57 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.ib $$unsorted) % 0.39/0.57 (declare-const tptp.cB (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.cA_and_B (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.cA (-> $$unsorted Bool)) % 0.39/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.57 (define @t2 () (@var "A" $$unsorted)) % 0.39/0.57 (define @t3 () (= @t2 @t1)) % 0.39/0.57 (define @t4 () (@list @t2 @t1)) % 0.39/0.57 (define @t5 () (@var "X" $$unsorted)) % 0.39/0.57 (define @t6 () (not (tptp.cowlNothing @t5))) % 0.39/0.57 (define @t7 () (tptp.cowlThing @t5)) % 0.39/0.57 (define @t8 () (@list @t5)) % 0.39/0.57 (define @t9 () (forall @t8 (and @t7 @t6))) % 0.39/0.57 (define @t10 () (forall @t8 (= (tptp.xsd_string @t5) (not (tptp.xsd_integer @t5))))) % 0.39/0.57 (define @t11 () (= @t5 tptp.ia)) % 0.39/0.57 (define @t12 () (tptp.cA @t5)) % 0.39/0.57 (define @t13 () (forall @t8 (= @t12 @t11))) % 0.39/0.57 (define @t14 () (tptp.cB @t5)) % 0.39/0.57 (define @t15 () (tptp.cA_and_B @t5)) % 0.39/0.57 (define @t16 () (= @t5 tptp.ib)) % 0.39/0.57 (define @t17 () (forall @t8 (= @t14 @t16))) % 0.39/0.57 (define @t18 () (tptp.cowlThing tptp.ia)) % 0.39/0.57 (define @t19 () (tptp.cowlThing tptp.ib)) % 0.39/0.57 (define @t20 () (forall @t8 (= @t15 (or @t16 @t11)))) % 0.39/0.57 (define @t21 () (and @t9 @t10 @t20 @t18 @t19)) % 0.39/0.57 (define @t22 () (not @t21)) % 0.39/0.57 (define @t23 () (forall @t8 @t6)) % 0.39/0.57 (define @t24 () (@list @t5)) % 0.39/0.57 (define @t25 () (@var "BOUND_VARIABLE_7581" $$unsorted)) % 0.39/0.57 (define @t26 () (forall @t8 @t7)) % 0.39/0.57 (define @t27 () (@var "BOUND_VARIABLE_7576" $$unsorted)) % 0.39/0.57 (define @t28 () (and @t26 @t23)) % 0.39/0.57 (define @t29 () (forall (@list @t25) (not (tptp.cowlNothing @t25)))) % 0.39/0.57 (define @t30 () (forall (@list @t27) (tptp.cowlThing @t27))) % 0.39/0.57 (define @t31 () (not @t20)) % 0.39/0.57 (define @t32 () (@quantifiers_skolemize @t20 0)) % 0.39/0.57 (define @t33 () (= tptp.ia @t32)) % 0.39/0.57 (define @t34 () (= tptp.ib @t32)) % 0.39/0.57 (define @t35 () (or @t34 @t33)) % 0.39/0.57 (define @t36 () (tptp.cA_and_B @t32)) % 0.39/0.57 (define @t37 () (= @t36 @t35)) % 0.39/0.57 (define @t38 () (not @t37)) % 0.39/0.57 (define @t39 () (= @t32 tptp.ia)) % 0.39/0.57 (define @t40 () (= @t32 tptp.ib)) % 0.39/0.57 (define @t41 () (or @t40 @t39)) % 0.39/0.57 (define @t42 () (= @t36 @t41)) % 0.39/0.57 (define @t43 () (not @t42)) % 0.39/0.57 (define @t44 () (@list @t32)) % 0.39/0.57 (define @t45 () (tptp.cA @t32)) % 0.39/0.57 (define @t46 () (= @t45 @t39)) % 0.39/0.57 (define @t47 () (= @t33 @t45)) % 0.39/0.57 (define @t48 () (@list false)) % 0.39/0.57 (define @t49 () (not @t47)) % 0.39/0.57 (define @t50 () (tptp.cB @t32)) % 0.39/0.57 (define @t51 () (or @t45 @t50)) % 0.39/0.57 (define @t52 () (= @t36 @t51)) % 0.39/0.57 (define @t53 () (not @t52)) % 0.39/0.57 (define @t54 () (not @t51)) % 0.39/0.57 (define @t55 () (= @t50 @t40)) % 0.39/0.57 (define @t56 () (= @t34 @t50)) % 0.39/0.57 (define @t57 () (not @t56)) % 0.39/0.57 (define @t58 () (@list false false)) % 0.39/0.57 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cA @t2)) (tptp.cA @t1)))) % 0.39/0.57 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cA_and_B @t2)) (tptp.cA_and_B @t1)))) % 0.39/0.57 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cB @t2)) (tptp.cB @t1)))) % 0.39/0.57 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.39/0.57 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.39/0.57 (assume @p6 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.39/0.57 (assume @p7 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.39/0.57 (assume @p8 @t9) % 0.39/0.57 (assume @p9 @t10) % 0.39/0.57 (assume @p10 @t13) % 0.39/0.57 (assume @p11 (forall @t8 (= @t15 (or @t12 @t14)))) % 0.39/0.57 (assume @p12 @t17) % 0.39/0.57 (assume @p13 @t18) % 0.39/0.57 (assume @p14 @t19) % 0.39/0.57 (assume @p15 @t22) % 0.39/0.57 (assume @p16 true) % 0.39/0.57 (step @p17 :rule alpha_equiv :args (@t23 @t24 (@list @t25))) % 0.39/0.57 (step @p18 :rule alpha_equiv :args (@t26 @t24 (@list @t27))) % 0.39/0.57 (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t28)) % 0.39/0.57 (step @p20 :rule quant-miniscope-and :args ((= @t9 @t28))) % 0.39/0.57 (step @p21 :rule trans :premises (@p20 @p19)) % 0.39/0.57 (step @p22 :rule eq_resolve :premises (@p8 @p21)) % 0.39/0.57 (step @p23 :rule and_elim :premises (@p22) :args (1)) % 0.39/0.57 (step @p24 :rule and_elim :premises (@p22) :args (0)) % 0.39/0.57 (step @p25 :rule aci_norm :args ((= (and (and @t30 @t29) @t10 @t20 @t18 @t19) (and @t10 @t20 @t18 @t19 @t30 @t29)))) % 0.39/0.57 (step @p26 :rule refl :args (@t19)) % 0.39/0.57 (step @p27 :rule refl :args (@t18)) % 0.39/0.57 (step @p28 :rule refl :args (@t20)) % 0.39/0.57 (step @p29 :rule refl :args (@t10)) % 0.39/0.57 (step @p30 :rule nary_cong :premises (@p21 @p29 @p28 @p27 @p26) :args (@t21)) % 0.39/0.57 (step @p31 :rule trans :premises (@p30 @p25)) % 0.39/0.57 (step @p32 :rule cong :premises (@p31) :args (@t22)) % 0.39/0.57 (step @p33 :rule eq_resolve :premises (@p15 @p32)) % 0.39/0.57 (step @p34 :rule not_and :premises (@p33)) % 0.39/0.57 (step @p35 :rule reordering :premises (@p34) :args ((or (not @t30) (not @t29) (not @t10) (not @t18) (not @t19) @t31))) % 0.39/0.57 (step @p36 :rule chain_m_resolution :premises (@p35 @p24 @p23 @p9 @p13 @p14) :args (@t31 (@list false false false false false) (@list @t30 @t29 @t10 @t18 @t19))) % 0.39/0.57 (step @p37 :rule refl :args (@t38)) % 0.39/0.57 (step @p38 :rule bool-double-not-elim :args (@t20)) % 0.39/0.57 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t31) @t38))) % 0.39/0.57 (step @p40 :rule eq-symm :args (@t32 tptp.ia)) % 0.39/0.57 (step @p41 :rule eq-symm :args (@t32 tptp.ib)) % 0.39/0.57 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t41)) % 0.39/0.57 (step @p43 :rule refl :args (@t36)) % 0.39/0.57 (step @p44 :rule cong :premises (@p43 @p42) :args (@t42)) % 0.39/0.57 (step @p45 :rule cong :premises (@p44) :args (@t43)) % 0.39/0.57 (step @p46 :rule refl :args (@t31)) % 0.39/0.57 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t31 @t43))) % 0.39/0.57 (assume-push @p113 @t31) % 0.39/0.57 (step @p49 :rule skolemize :premises (@p36)) % 0.39/0.57 (step-pop @p114 :rule scope :premises (@p49)) % 0.39/0.57 (step @p50 :rule process_scope :premises (@p114) :args (@t43)) % 0.39/0.57 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 0.39/0.57 (step @p53 :rule implies_elim :premises (@p52)) % 0.39/0.57 (step @p54 :rule eq_resolve :premises (@p53 @p39)) % 0.39/0.57 (step @p55 :rule chain_m_resolution :premises (@p54 @p36) :args (@t38 (@list true) (@list @t20))) % 0.39/0.57 (step @p56 :rule instantiate :premises (@p11) :args (@t44)) % 0.39/0.57 (step @p57 :rule refl :args (@t45)) % 0.39/0.57 (step @p58 :rule cong :premises (@p40 @p57) :args ((= @t39 @t45))) % 0.39/0.57 (step @p59 :rule eq-symm :args (@t45 @t39)) % 0.39/0.57 (step @p60 :rule trans :premises (@p59 @p58)) % 0.39/0.57 (step @p61 :rule refl :args (@t13)) % 0.39/0.57 (step @p62 :rule cong :premises (@p61 @p60) :args ((=> @t13 @t46))) % 0.39/0.57 (assume-push @p115 @t13) % 0.39/0.57 (step @p64 :rule instantiate :premises (@p10) :args (@t44)) % 0.39/0.57 (step-pop @p116 :rule scope :premises (@p64)) % 0.39/0.57 (step @p65 :rule process_scope :premises (@p116) :args (@t46)) % 0.39/0.57 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 0.39/0.57 (step @p68 :rule implies_elim :premises (@p67)) % 0.39/0.57 (step @p69 :rule chain_m_resolution :premises (@p68 @p10) :args (@t47 @t48 (@list @t13))) % 0.39/0.57 (step @p70 :rule cnf_equiv_pos1 :args (@t47)) % 0.39/0.57 (step @p71 :rule reordering :premises (@p70) :args ((or (not @t33) @t45 @t49))) % 0.39/0.57 (step @p72 :rule cnf_equiv_neg1 :args (@t37)) % 0.39/0.57 (step @p73 :rule reordering :premises (@p72) :args ((or @t36 @t35 @t37))) % 0.39/0.57 (step @p74 :rule cnf_equiv_pos2 :args (@t52)) % 0.39/0.57 (step @p75 :rule reordering :premises (@p74) :args ((or @t36 @t54 @t53))) % 0.39/0.57 (step @p76 :rule cnf_or_pos :args (@t35)) % 0.39/0.57 (step @p77 :rule reordering :premises (@p76) :args ((or @t34 @t33 (not @t35)))) % 0.39/0.57 (step @p78 :rule cnf_or_neg :args (@t51 1)) % 0.39/0.57 (step @p79 :rule refl :args (@t50)) % 0.39/0.57 (step @p80 :rule cong :premises (@p41 @p79) :args ((= @t40 @t50))) % 0.39/0.57 (step @p81 :rule eq-symm :args (@t50 @t40)) % 0.39/0.57 (step @p82 :rule trans :premises (@p81 @p80)) % 0.39/0.57 (step @p83 :rule refl :args (@t17)) % 0.39/0.57 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t17 @t55))) % 0.39/0.57 (assume-push @p117 @t17) % 0.39/0.57 (step @p86 :rule instantiate :premises (@p12) :args (@t44)) % 0.39/0.57 (step-pop @p118 :rule scope :premises (@p86)) % 0.39/0.57 (step @p87 :rule process_scope :premises (@p118) :args (@t55)) % 0.39/0.57 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 0.39/0.57 (step @p90 :rule implies_elim :premises (@p89)) % 0.39/0.57 (step @p91 :rule chain_m_resolution :premises (@p90 @p12) :args (@t56 @t48 (@list @t17))) % 0.39/0.57 (step @p92 :rule cnf_equiv_pos1 :args (@t56)) % 0.39/0.57 (step @p93 :rule reordering :premises (@p92) :args ((or (not @t34) @t50 @t57))) % 0.39/0.57 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p78 @p77 @p75 @p56 @p73 @p55) :args ((or @t36 @t33) (@list false true false true false false true) (@list @t56 @t50 @t34 @t51 @t52 @t35 @t37))) % 0.39/0.57 (step @p95 :rule cnf_equiv_neg2 :args (@t37)) % 0.39/0.57 (step @p96 :rule cnf_equiv_pos1 :args (@t52)) % 0.39/0.57 (step @p97 :rule reordering :premises (@p96) :args ((or (not @t36) @t51 @t53))) % 0.39/0.57 (step @p98 :rule cnf_or_neg :args (@t35 0)) % 0.39/0.57 (step @p99 :rule cnf_or_pos :args (@t51)) % 0.39/0.57 (step @p100 :rule reordering :premises (@p99) :args ((or @t45 @t50 @t54))) % 0.39/0.57 (step @p101 :rule cnf_equiv_pos2 :args (@t56)) % 0.39/0.57 (step @p102 :rule reordering :premises (@p101) :args ((or @t34 (not @t50) @t57))) % 0.39/0.57 (step @p103 :rule chain_m_resolution :premises (@p102 @p91 @p100 @p98 @p97 @p56 @p95 @p55 @p94 @p71 @p69) :args (@t45 (@list false false true false false true true false true false) (@list @t56 @t50 @t34 @t51 @t52 @t35 @t37 @t36 @t33 @t47))) % 0.39/0.57 (step @p104 :rule cnf_or_neg :args (@t51 0)) % 0.39/0.57 (step @p105 :rule chain_m_resolution :premises (@p104 @p103) :args (@t51 @t48 (@list @t45))) % 0.39/0.57 (step @p106 :rule chain_m_resolution :premises (@p75 @p105 @p56) :args (@t36 @t58 (@list @t51 @t52))) % 0.39/0.57 (step @p107 :rule cnf_equiv_pos2 :args (@t47)) % 0.39/0.57 (step @p108 :rule reordering :premises (@p107) :args ((or @t33 (not @t45) @t49))) % 0.39/0.57 (step @p109 :rule chain_m_resolution :premises (@p108 @p103 @p69) :args (@t33 @t58 (@list @t45 @t47))) % 0.39/0.57 (step @p110 :rule cnf_or_neg :args (@t35 1)) % 0.39/0.57 (step @p111 :rule chain_m_resolution :premises (@p110 @p109) :args (@t35 @t48 (@list @t33))) % 0.39/0.57 (step @p112 false :rule chain_m_resolution :premises (@p95 @p111 @p106 @p55) :args (false (@list false false true) (@list @t35 @t36 @t37))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------