%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS088+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 : n009.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 08:28:54 AM UTC 2026 % Result : Unsatisfiable 0.32s 0.56s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS088+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.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 05:27:29 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.56 % SZS status Unsatisfiable % 0.32/0.56 % SZS output start Proof % 0.32/0.58 ( % 0.32/0.58 (declare-sort $$unsorted 0) % 0.32/0.58 (declare-const tptp.i2003_11_14_17_19_49673 $$unsorted) % 0.32/0.58 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.rinvR (-> $$unsorted $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.cp1 (-> $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.rinvF (-> $$unsorted $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.rf (-> $$unsorted $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.32/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.32/0.58 (define @t2 () (@var "A" $$unsorted)) % 0.32/0.58 (define @t3 () (= @t2 @t1)) % 0.32/0.58 (define @t4 () (@list @t2 @t1)) % 0.32/0.58 (define @t5 () (@var "C" $$unsorted)) % 0.32/0.58 (define @t6 () (@list @t2 @t1 @t5)) % 0.32/0.58 (define @t7 () (@var "X" $$unsorted)) % 0.32/0.58 (define @t8 () (@list @t7)) % 0.32/0.58 (define @t9 () (@var "Y" $$unsorted)) % 0.32/0.58 (define @t10 () (tptp.cp1 @t9)) % 0.32/0.58 (define @t11 () (@var "W" $$unsorted)) % 0.32/0.58 (define @t12 () (tptp.cp1 @t11)) % 0.32/0.58 (define @t13 () (not @t12)) % 0.32/0.58 (define @t14 () (@var "Z" $$unsorted)) % 0.32/0.58 (define @t15 () (tptp.rf @t14 @t11)) % 0.32/0.58 (define @t16 () (and @t15 @t13)) % 0.32/0.58 (define @t17 () (@list @t11)) % 0.32/0.58 (define @t18 () (exists @t17 @t16)) % 0.32/0.58 (define @t19 () (tptp.rinvF @t9 @t14)) % 0.32/0.58 (define @t20 () (=> @t19 @t18)) % 0.32/0.58 (define @t21 () (@list @t14)) % 0.32/0.58 (define @t22 () (forall @t21 @t20)) % 0.32/0.58 (define @t23 () (tptp.rf @t7 @t9)) % 0.32/0.58 (define @t24 () (and @t23 @t22 @t10)) % 0.32/0.58 (define @t25 () (@list @t9)) % 0.32/0.58 (define @t26 () (exists @t25 @t24)) % 0.32/0.58 (define @t27 () (tptp.cUnsatisfiable @t7)) % 0.32/0.58 (define @t28 () (= @t27 @t26)) % 0.32/0.58 (define @t29 () (forall @t8 @t28)) % 0.32/0.58 (define @t30 () (= @t9 @t14)) % 0.32/0.58 (define @t31 () (tptp.rf @t7 @t14)) % 0.32/0.58 (define @t32 () (and @t23 @t31)) % 0.32/0.58 (define @t33 () (@list @t7 @t9 @t14)) % 0.32/0.58 (define @t34 () (forall @t33 (=> @t32 @t30))) % 0.32/0.58 (define @t35 () (@list @t7 @t9)) % 0.32/0.58 (define @t36 () (forall @t35 (= (tptp.rinvF @t7 @t9) (tptp.rf @t9 @t7)))) % 0.32/0.58 (define @t37 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_19_49673)) % 0.32/0.58 (define @t38 () (not @t10)) % 0.32/0.58 (define @t39 () (not @t15)) % 0.32/0.58 (define @t40 () (not (forall @t17 (or @t39 @t12)))) % 0.32/0.58 (define @t41 () (forall @t21 (or (not @t19) @t40))) % 0.32/0.58 (define @t42 () (not @t41)) % 0.32/0.58 (define @t43 () (not @t23)) % 0.32/0.58 (define @t44 () (and @t23 @t41 @t10)) % 0.32/0.58 (define @t45 () (forall @t25 (not @t44))) % 0.32/0.58 (define @t46 () (not @t45)) % 0.32/0.58 (define @t47 () (forall @t17 (not @t16))) % 0.32/0.58 (define @t48 () (not @t47)) % 0.32/0.58 (define @t49 () (@list tptp.i2003_11_14_17_19_49673)) % 0.32/0.58 (define @t50 () (forall @t25 (or (not (tptp.rf tptp.i2003_11_14_17_19_49673 @t9)) @t42 @t38))) % 0.32/0.58 (define @t51 () (not @t50)) % 0.32/0.58 (define @t52 () (= @t37 @t51)) % 0.32/0.58 (define @t53 () (@list false false)) % 0.32/0.58 (define @t54 () (@quantifiers_skolemize @t50 0)) % 0.32/0.58 (define @t55 () (tptp.cp1 @t54)) % 0.32/0.58 (define @t56 () (not @t55)) % 0.32/0.58 (define @t57 () (forall @t21 (or (not (tptp.rinvF @t54 @t14)) @t40))) % 0.32/0.58 (define @t58 () (not @t57)) % 0.32/0.58 (define @t59 () (tptp.rf tptp.i2003_11_14_17_19_49673 @t54)) % 0.32/0.58 (define @t60 () (not @t59)) % 0.32/0.58 (define @t61 () (or @t60 @t58 @t56)) % 0.32/0.58 (define @t62 () (@list true)) % 0.32/0.58 (define @t63 () (@list @t61)) % 0.32/0.58 (define @t64 () (not @t31)) % 0.32/0.58 (define @t65 () (forall @t17 (or (not (tptp.rf tptp.i2003_11_14_17_19_49673 @t11)) @t12))) % 0.32/0.58 (define @t66 () (@quantifiers_skolemize @t65 0)) % 0.32/0.58 (define @t67 () (tptp.rinvF @t54 tptp.i2003_11_14_17_19_49673)) % 0.32/0.58 (define @t68 () (= @t67 @t59)) % 0.32/0.58 (define @t69 () (= @t59 @t67)) % 0.32/0.58 (define @t70 () (not @t65)) % 0.32/0.58 (define @t71 () (not @t67)) % 0.32/0.58 (define @t72 () (or @t71 @t70)) % 0.32/0.58 (define @t73 () (tptp.rf tptp.i2003_11_14_17_19_49673 @t66)) % 0.32/0.58 (define @t74 () (tptp.cp1 @t66)) % 0.32/0.58 (define @t75 () (not @t73)) % 0.32/0.58 (define @t76 () (or @t75 @t74)) % 0.32/0.58 (define @t77 () (@list @t76)) % 0.32/0.58 (define @t78 () (= @t54 @t66)) % 0.32/0.58 (define @t79 () (or @t60 @t75 @t78)) % 0.32/0.58 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.32/0.58 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.32/0.58 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.32/0.58 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cp1 @t2)) (tptp.cp1 @t1)))) % 0.32/0.58 (assume @p5 (forall @t6 (=> (and @t3 (tptp.rf @t2 @t5)) (tptp.rf @t1 @t5)))) % 0.32/0.58 (assume @p6 (forall @t6 (=> (and @t3 (tptp.rf @t5 @t2)) (tptp.rf @t5 @t1)))) % 0.32/0.58 (assume @p7 (forall @t6 (=> (and @t3 (tptp.rinvF @t2 @t5)) (tptp.rinvF @t1 @t5)))) % 0.32/0.58 (assume @p8 (forall @t6 (=> (and @t3 (tptp.rinvF @t5 @t2)) (tptp.rinvF @t5 @t1)))) % 0.32/0.58 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rinvR @t2 @t5)) (tptp.rinvR @t1 @t5)))) % 0.32/0.58 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rinvR @t5 @t2)) (tptp.rinvR @t5 @t1)))) % 0.32/0.58 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.32/0.58 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.32/0.58 (assume @p13 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.32/0.58 (assume @p14 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.32/0.58 (assume @p15 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.32/0.58 (assume @p16 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.32/0.58 (assume @p17 @t29) % 0.32/0.58 (assume @p18 @t34) % 0.32/0.58 (assume @p19 @t36) % 0.32/0.58 (assume @p20 (forall @t35 (= (tptp.rinvR @t7 @t9) (tptp.rr @t9 @t7)))) % 0.32/0.58 (assume @p21 (forall @t33 (=> (and (tptp.rr @t7 @t9) (tptp.rr @t9 @t14)) (tptp.rr @t7 @t14)))) % 0.32/0.58 (assume @p22 @t37) % 0.32/0.58 (step @p23 :rule evaluate :args ((= false true))) % 0.32/0.58 (step @p24 :rule aci_norm :args ((= (or @t43 (or @t42 @t38)) (or @t43 @t42 @t38)))) % 0.32/0.58 (step @p25 :rule bool-and-de-morgan :args (@t41 @t10 true)) % 0.32/0.58 (step @p26 :rule refl :args (@t43)) % 0.32/0.58 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t43 (not (and @t41 @t10))))) % 0.32/0.58 (step @p28 :rule bool-and-de-morgan :args (@t23 @t41 (and @t10))) % 0.32/0.58 (step @p29 :rule trans :premises (@p28 @p27)) % 0.32/0.58 (step @p30 :rule trans :premises (@p29 @p24)) % 0.32/0.58 (step @p31 :rule cong :premises (@p30) :args (@t45)) % 0.32/0.58 (step @p32 :rule cong :premises (@p31) :args (@t46)) % 0.32/0.58 (step @p33 :rule exists-elim :args ((= (exists @t25 @t44) @t46))) % 0.32/0.58 (step @p34 :rule trans :premises (@p33 @p32)) % 0.32/0.58 (step @p35 :rule refl :args (@t10)) % 0.32/0.58 (step @p36 :rule bool-impl-elim :args (@t19 @t40)) % 0.32/0.58 (step @p37 :rule cong :premises (@p36) :args ((forall @t21 (=> @t19 @t40)))) % 0.32/0.58 (step @p38 :rule bool-double-not-elim :args (@t12)) % 0.32/0.58 (step @p39 :rule refl :args (@t39)) % 0.32/0.58 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t39 (not @t13)))) % 0.32/0.58 (step @p41 :rule bool-and-de-morgan :args (@t15 @t13 true)) % 0.32/0.58 (step @p42 :rule trans :premises (@p41 @p40)) % 0.32/0.58 (step @p43 :rule cong :premises (@p42) :args (@t47)) % 0.32/0.58 (step @p44 :rule cong :premises (@p43) :args (@t48)) % 0.32/0.58 (step @p45 :rule exists-elim :args ((= @t18 @t48))) % 0.32/0.58 (step @p46 :rule trans :premises (@p45 @p44)) % 0.32/0.58 (step @p47 :rule refl :args (@t19)) % 0.32/0.58 (step @p48 :rule cong :premises (@p47 @p46) :args (@t20)) % 0.32/0.58 (step @p49 :rule cong :premises (@p48) :args (@t22)) % 0.32/0.58 (step @p50 :rule trans :premises (@p49 @p37)) % 0.32/0.58 (step @p51 :rule refl :args (@t23)) % 0.32/0.58 (step @p52 :rule nary_cong :premises (@p51 @p50 @p35) :args (@t24)) % 0.32/0.58 (step @p53 :rule cong :premises (@p52) :args (@t26)) % 0.32/0.58 (step @p54 :rule trans :premises (@p53 @p34)) % 0.32/0.58 (step @p55 :rule refl :args (@t27)) % 0.32/0.58 (step @p56 :rule cong :premises (@p55 @p54) :args (@t28)) % 0.32/0.58 (step @p57 :rule cong :premises (@p56) :args (@t29)) % 0.32/0.58 (step @p58 :rule eq_resolve :premises (@p17 @p57)) % 0.32/0.58 (step @p59 :rule instantiate :premises (@p58) :args (@t49)) % 0.32/0.58 (step @p60 :rule cnf_equiv_pos1 :args (@t52)) % 0.32/0.58 (step @p61 :rule reordering :premises (@p60) :args ((or (not @t37) @t51 (not @t52)))) % 0.32/0.58 (step @p62 :rule chain_m_resolution :premises (@p61 @p22 @p59) :args (@t51 @t53 (@list @t37 @t52))) % 0.32/0.58 (step @p63 :rule skolemize :premises (@p62)) % 0.32/0.58 (step @p64 :rule bool-double-not-elim :args (@t55)) % 0.32/0.58 (step @p65 :rule refl :args (@t61)) % 0.32/0.58 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t61 (not @t56)))) % 0.32/0.58 (step @p67 :rule cnf_or_neg :args (@t61 2)) % 0.32/0.58 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.32/0.58 (step @p69 :rule reordering :premises (@p68) :args ((or @t55 @t61))) % 0.32/0.58 (step @p70 :rule chain_m_resolution :premises (@p69 @p63) :args (@t55 @t62 @t63)) % 0.32/0.58 (step @p71 :rule true_intro :premises (@p70)) % 0.32/0.58 (step @p72 :rule aci_norm :args ((= (or (or @t43 @t64) @t30) (or @t43 @t64 @t30)))) % 0.32/0.58 (step @p73 :rule refl :args (@t30)) % 0.32/0.58 (step @p74 :rule bool-and-de-morgan :args (@t23 @t31 true)) % 0.32/0.58 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or (not @t32) @t30))) % 0.32/0.58 (step @p76 :rule trans :premises (@p75 @p72)) % 0.32/0.58 (step @p77 :rule bool-impl-elim :args (@t32 @t30)) % 0.32/0.58 (step @p78 :rule trans :premises (@p77 @p76)) % 0.32/0.58 (step @p79 :rule cong :premises (@p78) :args (@t34)) % 0.32/0.58 (step @p80 :rule eq_resolve :premises (@p18 @p79)) % 0.32/0.58 (step @p81 :rule instantiate :premises (@p80) :args ((@list tptp.i2003_11_14_17_19_49673 @t54 @t66))) % 0.32/0.58 (step @p82 :rule bool-double-not-elim :args (@t57)) % 0.32/0.58 (step @p83 :rule nary_cong :premises (@p65 @p82) :args ((or @t61 (not @t58)))) % 0.32/0.58 (step @p84 :rule cnf_or_neg :args (@t61 1)) % 0.32/0.58 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.32/0.58 (step @p86 :rule reordering :premises (@p85) :args ((or @t57 @t61))) % 0.32/0.58 (step @p87 :rule chain_m_resolution :premises (@p86 @p63) :args (@t57 @t62 @t63)) % 0.32/0.58 (step @p88 :rule instantiate :premises (@p87) :args (@t49)) % 0.32/0.58 (step @p89 :rule eq-symm :args (@t67 @t59)) % 0.32/0.58 (step @p90 :rule refl :args (@t36)) % 0.32/0.58 (step @p91 :rule cong :premises (@p90 @p89) :args ((=> @t36 @t68))) % 0.32/0.58 (assume-push @p130 @t36) % 0.32/0.58 (step @p93 :rule instantiate :premises (@p19) :args ((@list @t54 tptp.i2003_11_14_17_19_49673))) % 0.32/0.58 (step-pop @p131 :rule scope :premises (@p93)) % 0.32/0.58 (step @p94 :rule process_scope :premises (@p131) :args (@t68)) % 0.32/0.58 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 0.32/0.58 (step @p97 :rule implies_elim :premises (@p96)) % 0.32/0.58 (step @p98 :rule chain_m_resolution :premises (@p97 @p19) :args (@t69 (@list false) (@list @t36))) % 0.32/0.58 (step @p99 :rule bool-double-not-elim :args (@t59)) % 0.32/0.58 (step @p100 :rule nary_cong :premises (@p65 @p99) :args ((or @t61 (not @t60)))) % 0.32/0.58 (step @p101 :rule cnf_or_neg :args (@t61 0)) % 0.32/0.58 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.32/0.58 (step @p103 :rule reordering :premises (@p102) :args ((or @t59 @t61))) % 0.32/0.58 (step @p104 :rule chain_m_resolution :premises (@p103 @p63) :args (@t59 @t62 @t63)) % 0.32/0.58 (step @p105 :rule cnf_equiv_pos1 :args (@t69)) % 0.32/0.58 (step @p106 :rule reordering :premises (@p105) :args ((or @t60 @t67 (not @t69)))) % 0.32/0.58 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p98) :args (@t67 @t53 (@list @t59 @t69))) % 0.32/0.58 (step @p108 :rule cnf_or_pos :args (@t72)) % 0.32/0.58 (step @p109 :rule reordering :premises (@p108) :args ((or @t71 @t70 (not @t72)))) % 0.32/0.58 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p88) :args (@t70 @t53 (@list @t67 @t72))) % 0.32/0.58 (step @p111 :rule skolemize :premises (@p110)) % 0.32/0.58 (step @p112 :rule bool-double-not-elim :args (@t73)) % 0.32/0.58 (step @p113 :rule refl :args (@t76)) % 0.32/0.58 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t76 (not @t75)))) % 0.32/0.58 (step @p115 :rule cnf_or_neg :args (@t76 0)) % 0.32/0.58 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.32/0.58 (step @p117 :rule reordering :premises (@p116) :args ((or @t73 @t76))) % 0.32/0.58 (step @p118 :rule chain_m_resolution :premises (@p117 @p111) :args (@t73 @t62 @t77)) % 0.32/0.58 (step @p119 :rule cnf_or_pos :args (@t79)) % 0.32/0.58 (step @p120 :rule reordering :premises (@p119) :args ((or @t60 @t75 @t78 (not @t79)))) % 0.32/0.58 (step @p121 :rule chain_m_resolution :premises (@p120 @p104 @p118 @p81) :args (@t78 (@list false false false) (@list @t59 @t73 @t79))) % 0.32/0.58 (step @p122 :rule symm :premises (@p121)) % 0.32/0.58 (step @p123 :rule cong :premises (@p122) :args (@t74)) % 0.32/0.58 (step @p124 :rule cnf_or_neg :args (@t76 1)) % 0.32/0.58 (step @p125 :rule chain_m_resolution :premises (@p124 @p111) :args ((not @t74) @t62 @t77)) % 0.32/0.58 (step @p126 :rule false_intro :premises (@p125)) % 0.32/0.58 (step @p127 :rule symm :premises (@p126)) % 0.32/0.58 (step @p128 :rule trans :premises (@p127 @p123 @p71)) % 0.32/0.58 (step @p129 false :rule eq_resolve :premises (@p128 @p23)) % 0.32/0.58 ) % 0.32/0.58 % SZS output end Proof % 0.32/0.58 % cvc5 exiting %------------------------------------------------------------------------------