%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS096+1 : TPTP v9.2.1. Released v3.1.0. % 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 08:28:55 AM UTC 2026 % Result : Unsatisfiable 0.29s 0.54s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS096+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 05:27:30 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.54 % SZS status Unsatisfiable % 0.29/0.54 % SZS output start Proof % 0.36/0.55 ( % 0.36/0.55 (declare-sort $$unsorted 0) % 0.36/0.55 (declare-const tptp.i2003_11_14_17_20_18265 $$unsorted) % 0.36/0.55 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.36/0.55 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.36/0.55 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.36/0.55 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.36/0.55 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.36/0.55 (declare-const tptp.cd (-> $$unsorted Bool)) % 0.36/0.55 (declare-const tptp.cc (-> $$unsorted Bool)) % 0.36/0.55 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.36/0.55 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.55 (define @t2 () (@var "A" $$unsorted)) % 0.36/0.55 (define @t3 () (= @t2 @t1)) % 0.36/0.55 (define @t4 () (@list @t2 @t1)) % 0.36/0.55 (define @t5 () (@var "C" $$unsorted)) % 0.36/0.55 (define @t6 () (@list @t2 @t1 @t5)) % 0.36/0.55 (define @t7 () (@var "X" $$unsorted)) % 0.36/0.55 (define @t8 () (@list @t7)) % 0.36/0.55 (define @t9 () (@var "Y1" $$unsorted)) % 0.36/0.55 (define @t10 () (@var "Y0" $$unsorted)) % 0.36/0.55 (define @t11 () (= @t10 @t9)) % 0.36/0.55 (define @t12 () (tptp.rr @t7 @t9)) % 0.36/0.55 (define @t13 () (tptp.rr @t7 @t10)) % 0.36/0.55 (define @t14 () (and @t13 @t12)) % 0.36/0.55 (define @t15 () (@list @t10 @t9)) % 0.36/0.55 (define @t16 () (forall @t15 (=> @t14 @t11))) % 0.36/0.55 (define @t17 () (@var "Y" $$unsorted)) % 0.36/0.55 (define @t18 () (tptp.cd @t17)) % 0.36/0.55 (define @t19 () (tptp.rr @t7 @t17)) % 0.36/0.55 (define @t20 () (and @t19 @t18)) % 0.36/0.55 (define @t21 () (@list @t17)) % 0.36/0.55 (define @t22 () (exists @t21 @t20)) % 0.36/0.55 (define @t23 () (tptp.cc @t17)) % 0.36/0.55 (define @t24 () (and @t19 @t23)) % 0.36/0.55 (define @t25 () (exists @t21 @t24)) % 0.36/0.55 (define @t26 () (and @t25 @t22 @t16)) % 0.36/0.55 (define @t27 () (tptp.cUnsatisfiable @t7)) % 0.36/0.55 (define @t28 () (= @t27 @t26)) % 0.36/0.55 (define @t29 () (forall @t8 @t28)) % 0.36/0.55 (define @t30 () (not (tptp.cd @t7))) % 0.36/0.55 (define @t31 () (tptp.cc @t7)) % 0.36/0.55 (define @t32 () (forall @t8 (=> @t31 @t30))) % 0.36/0.55 (define @t33 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_20_18265)) % 0.36/0.55 (define @t34 () (not @t12)) % 0.36/0.55 (define @t35 () (not @t13)) % 0.36/0.55 (define @t36 () (forall @t21 (not @t20))) % 0.36/0.55 (define @t37 () (not @t36)) % 0.36/0.55 (define @t38 () (forall @t21 (not @t24))) % 0.36/0.55 (define @t39 () (not @t38)) % 0.36/0.55 (define @t40 () (forall @t15 (or (not (tptp.rr tptp.i2003_11_14_17_20_18265 @t10)) (not (tptp.rr tptp.i2003_11_14_17_20_18265 @t9)) @t11))) % 0.36/0.55 (define @t41 () (not (tptp.rr tptp.i2003_11_14_17_20_18265 @t17))) % 0.36/0.55 (define @t42 () (forall @t21 (or @t41 (not @t18)))) % 0.36/0.55 (define @t43 () (not @t42)) % 0.36/0.55 (define @t44 () (forall @t21 (or @t41 (not @t23)))) % 0.36/0.55 (define @t45 () (not @t44)) % 0.36/0.55 (define @t46 () (and @t45 @t43 @t40)) % 0.36/0.55 (define @t47 () (= @t33 @t46)) % 0.36/0.55 (define @t48 () (@list false false)) % 0.36/0.55 (define @t49 () (not @t46)) % 0.36/0.55 (define @t50 () (@list false)) % 0.36/0.55 (define @t51 () (@list @t46)) % 0.36/0.55 (define @t52 () (@quantifiers_skolemize @t44 0)) % 0.36/0.55 (define @t53 () (tptp.cc @t52)) % 0.36/0.55 (define @t54 () (not @t53)) % 0.36/0.55 (define @t55 () (tptp.rr tptp.i2003_11_14_17_20_18265 @t52)) % 0.36/0.55 (define @t56 () (not @t55)) % 0.36/0.55 (define @t57 () (or @t56 @t54)) % 0.36/0.55 (define @t58 () (@list true)) % 0.36/0.55 (define @t59 () (@list @t57)) % 0.36/0.55 (define @t60 () (@quantifiers_skolemize @t42 0)) % 0.36/0.55 (define @t61 () (tptp.rr tptp.i2003_11_14_17_20_18265 @t60)) % 0.36/0.55 (define @t62 () (tptp.cd @t60)) % 0.36/0.55 (define @t63 () (not @t62)) % 0.36/0.55 (define @t64 () (not @t61)) % 0.36/0.55 (define @t65 () (or @t64 @t63)) % 0.36/0.55 (define @t66 () (@list @t65)) % 0.36/0.55 (define @t67 () (= @t52 @t60)) % 0.36/0.55 (define @t68 () (or @t56 @t64 @t67)) % 0.36/0.55 (define @t69 () (tptp.cc @t60)) % 0.36/0.55 (define @t70 () (not @t69)) % 0.36/0.55 (define @t71 () (or @t70 @t63)) % 0.36/0.55 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.36/0.55 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cc @t2)) (tptp.cc @t1)))) % 0.36/0.55 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cd @t2)) (tptp.cd @t1)))) % 0.36/0.55 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.36/0.55 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.36/0.55 (assume @p6 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.36/0.55 (assume @p7 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.36/0.55 (assume @p8 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.36/0.55 (assume @p9 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.36/0.55 (assume @p10 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.36/0.55 (assume @p11 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.36/0.55 (assume @p12 @t29) % 0.36/0.55 (assume @p13 @t32) % 0.36/0.55 (assume @p14 @t33) % 0.36/0.55 (step @p15 :rule evaluate :args ((= false true))) % 0.36/0.55 (step @p16 :rule aci_norm :args ((= (or (or @t35 @t34) @t11) (or @t35 @t34 @t11)))) % 0.36/0.55 (step @p17 :rule refl :args (@t11)) % 0.36/0.55 (step @p18 :rule bool-and-de-morgan :args (@t13 @t12 true)) % 0.36/0.55 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t14) @t11))) % 0.36/0.55 (step @p20 :rule trans :premises (@p19 @p16)) % 0.36/0.55 (step @p21 :rule bool-impl-elim :args (@t14 @t11)) % 0.36/0.55 (step @p22 :rule trans :premises (@p21 @p20)) % 0.36/0.55 (step @p23 :rule cong :premises (@p22) :args (@t16)) % 0.36/0.55 (step @p24 :rule bool-and-de-morgan :args (@t19 @t18 true)) % 0.36/0.55 (step @p25 :rule cong :premises (@p24) :args (@t36)) % 0.36/0.55 (step @p26 :rule cong :premises (@p25) :args (@t37)) % 0.36/0.55 (step @p27 :rule exists-elim :args ((= @t22 @t37))) % 0.36/0.55 (step @p28 :rule trans :premises (@p27 @p26)) % 0.36/0.55 (step @p29 :rule bool-and-de-morgan :args (@t19 @t23 true)) % 0.36/0.55 (step @p30 :rule cong :premises (@p29) :args (@t38)) % 0.36/0.55 (step @p31 :rule cong :premises (@p30) :args (@t39)) % 0.36/0.55 (step @p32 :rule exists-elim :args ((= @t25 @t39))) % 0.36/0.55 (step @p33 :rule trans :premises (@p32 @p31)) % 0.36/0.55 (step @p34 :rule nary_cong :premises (@p33 @p28 @p23) :args (@t26)) % 0.36/0.55 (step @p35 :rule refl :args (@t27)) % 0.36/0.55 (step @p36 :rule cong :premises (@p35 @p34) :args (@t28)) % 0.36/0.55 (step @p37 :rule cong :premises (@p36) :args (@t29)) % 0.36/0.55 (step @p38 :rule eq_resolve :premises (@p12 @p37)) % 0.36/0.55 (step @p39 :rule instantiate :premises (@p38) :args ((@list tptp.i2003_11_14_17_20_18265))) % 0.36/0.55 (step @p40 :rule cnf_equiv_pos1 :args (@t47)) % 0.36/0.55 (step @p41 :rule reordering :premises (@p40) :args ((or (not @t33) @t46 (not @t47)))) % 0.36/0.55 (step @p42 :rule chain_m_resolution :premises (@p41 @p14 @p39) :args (@t46 @t48 (@list @t33 @t47))) % 0.36/0.55 (step @p43 :rule cnf_and_pos :args (@t46 0)) % 0.36/0.55 (step @p44 :rule reordering :premises (@p43) :args ((or @t45 @t49))) % 0.36/0.55 (step @p45 :rule chain_m_resolution :premises (@p44 @p42) :args (@t45 @t50 @t51)) % 0.36/0.55 (step @p46 :rule skolemize :premises (@p45)) % 0.36/0.55 (step @p47 :rule bool-double-not-elim :args (@t53)) % 0.36/0.55 (step @p48 :rule refl :args (@t57)) % 0.36/0.55 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t57 (not @t54)))) % 0.36/0.55 (step @p50 :rule cnf_or_neg :args (@t57 1)) % 0.36/0.55 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.36/0.55 (step @p52 :rule reordering :premises (@p51) :args ((or @t53 @t57))) % 0.36/0.55 (step @p53 :rule chain_m_resolution :premises (@p52 @p46) :args (@t53 @t58 @t59)) % 0.36/0.55 (step @p54 :rule true_intro :premises (@p53)) % 0.36/0.55 (step @p55 :rule cnf_and_pos :args (@t46 2)) % 0.36/0.55 (step @p56 :rule reordering :premises (@p55) :args ((or @t40 @t49))) % 0.36/0.55 (step @p57 :rule chain_m_resolution :premises (@p56 @p42) :args (@t40 @t50 @t51)) % 0.36/0.55 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t52 @t60))) % 0.36/0.55 (step @p59 :rule cnf_and_pos :args (@t46 1)) % 0.36/0.55 (step @p60 :rule reordering :premises (@p59) :args ((or @t43 @t49))) % 0.36/0.55 (step @p61 :rule chain_m_resolution :premises (@p60 @p42) :args (@t43 @t50 @t51)) % 0.36/0.55 (step @p62 :rule skolemize :premises (@p61)) % 0.36/0.55 (step @p63 :rule bool-double-not-elim :args (@t61)) % 0.36/0.55 (step @p64 :rule refl :args (@t65)) % 0.36/0.55 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t65 (not @t64)))) % 0.36/0.55 (step @p66 :rule cnf_or_neg :args (@t65 0)) % 0.36/0.55 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.36/0.55 (step @p68 :rule reordering :premises (@p67) :args ((or @t61 @t65))) % 0.36/0.55 (step @p69 :rule chain_m_resolution :premises (@p68 @p62) :args (@t61 @t58 @t66)) % 0.36/0.55 (step @p70 :rule bool-double-not-elim :args (@t55)) % 0.36/0.55 (step @p71 :rule nary_cong :premises (@p48 @p70) :args ((or @t57 (not @t56)))) % 0.36/0.55 (step @p72 :rule cnf_or_neg :args (@t57 0)) % 0.36/0.55 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.36/0.55 (step @p74 :rule reordering :premises (@p73) :args ((or @t55 @t57))) % 0.36/0.55 (step @p75 :rule chain_m_resolution :premises (@p74 @p46) :args (@t55 @t58 @t59)) % 0.36/0.55 (step @p76 :rule cnf_or_pos :args (@t68)) % 0.36/0.55 (step @p77 :rule reordering :premises (@p76) :args ((or @t56 @t64 @t67 (not @t68)))) % 0.36/0.55 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p69 @p58) :args (@t67 (@list false false false) (@list @t55 @t61 @t68))) % 0.36/0.55 (step @p79 :rule symm :premises (@p78)) % 0.36/0.55 (step @p80 :rule cong :premises (@p79) :args (@t69)) % 0.36/0.55 (step @p81 :rule bool-impl-elim :args (@t31 @t30)) % 0.36/0.55 (step @p82 :rule cong :premises (@p81) :args (@t32)) % 0.36/0.55 (step @p83 :rule eq_resolve :premises (@p13 @p82)) % 0.36/0.55 (step @p84 :rule instantiate :premises (@p83) :args ((@list @t60))) % 0.36/0.55 (step @p85 :rule bool-double-not-elim :args (@t62)) % 0.36/0.55 (step @p86 :rule nary_cong :premises (@p64 @p85) :args ((or @t65 (not @t63)))) % 0.36/0.55 (step @p87 :rule cnf_or_neg :args (@t65 1)) % 0.36/0.55 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.36/0.55 (step @p89 :rule reordering :premises (@p88) :args ((or @t62 @t65))) % 0.36/0.55 (step @p90 :rule chain_m_resolution :premises (@p89 @p62) :args (@t62 @t58 @t66)) % 0.36/0.55 (step @p91 :rule cnf_or_pos :args (@t71)) % 0.36/0.55 (step @p92 :rule reordering :premises (@p91) :args ((or @t63 @t70 (not @t71)))) % 0.36/0.55 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p84) :args (@t70 @t48 (@list @t62 @t71))) % 0.36/0.55 (step @p94 :rule false_intro :premises (@p93)) % 0.36/0.55 (step @p95 :rule symm :premises (@p94)) % 0.36/0.55 (step @p96 :rule trans :premises (@p95 @p80 @p54)) % 0.36/0.55 (step @p97 false :rule eq_resolve :premises (@p96 @p15)) % 0.36/0.55 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------