%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS128+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 08:28:58 AM UTC 2026 % Result : Unsatisfiable 0.32s 0.57s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS128+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.14 % 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 05:28:50 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... % 0.32/0.57 % SZS status Unsatisfiable % 0.32/0.57 % SZS output start Proof % 0.32/0.58 ( % 0.32/0.58 (declare-sort $$unsorted 0) % 0.32/0.58 (declare-const tptp.ra_Px4 (-> $$unsorted $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.i2003_11_14_17_22_31584 $$unsorted) % 0.32/0.58 (declare-const tptp.ce (-> $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.cexcomp (-> $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.ca_Cx4xcomp (-> $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.ra_Px2 (-> $$unsorted $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.ca_Cx4 (-> $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.cd (-> $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.cdxcomp (-> $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.cc (-> $$unsorted Bool)) % 0.32/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.32/0.58 (define @t2 () (@list @t1)) % 0.32/0.58 (define @t3 () (@var "Y" $$unsorted)) % 0.32/0.58 (define @t4 () (tptp.ca_Cx4 @t3)) % 0.32/0.58 (define @t5 () (tptp.rr @t1 @t3)) % 0.32/0.58 (define @t6 () (@list @t3)) % 0.32/0.58 (define @t7 () (forall @t6 (=> @t5 @t4))) % 0.32/0.58 (define @t8 () (tptp.cd @t3)) % 0.32/0.58 (define @t9 () (forall @t6 (=> @t5 @t8))) % 0.32/0.58 (define @t10 () (tptp.cexcomp @t3)) % 0.32/0.58 (define @t11 () (and @t5 @t10)) % 0.32/0.58 (define @t12 () (exists @t6 @t11)) % 0.32/0.58 (define @t13 () (and @t12 @t9 @t7)) % 0.32/0.58 (define @t14 () (tptp.cUnsatisfiable @t1)) % 0.32/0.58 (define @t15 () (= @t14 @t13)) % 0.32/0.58 (define @t16 () (forall @t2 @t15)) % 0.32/0.58 (define @t17 () (tptp.cdxcomp @t1)) % 0.32/0.58 (define @t18 () (@var "Y0" $$unsorted)) % 0.32/0.58 (define @t19 () (@list @t18)) % 0.32/0.58 (define @t20 () (tptp.cd @t1)) % 0.32/0.58 (define @t21 () (tptp.cexcomp @t1)) % 0.32/0.58 (define @t22 () (tptp.ra_Px4 @t1 @t18)) % 0.32/0.58 (define @t23 () (exists @t19 @t22)) % 0.32/0.58 (define @t24 () (tptp.ca_Cx4 @t1)) % 0.32/0.58 (define @t25 () (= @t24 @t23)) % 0.32/0.58 (define @t26 () (forall @t2 @t25)) % 0.32/0.58 (define @t27 () (tptp.ra_Px4 @t1 @t3)) % 0.32/0.58 (define @t28 () (exists @t6 @t27)) % 0.32/0.58 (define @t29 () (not @t28)) % 0.32/0.58 (define @t30 () (tptp.ca_Cx4xcomp @t1)) % 0.32/0.58 (define @t31 () (= @t30 @t29)) % 0.32/0.58 (define @t32 () (forall @t2 @t31)) % 0.32/0.58 (define @t33 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_22_31584)) % 0.32/0.58 (define @t34 () (not (tptp.rr tptp.i2003_11_14_17_22_31584 @t3))) % 0.32/0.58 (define @t35 () (forall @t6 (or @t34 (not @t10)))) % 0.32/0.58 (define @t36 () (@quantifiers_skolemize @t35 0)) % 0.32/0.58 (define @t37 () (@list @t36)) % 0.32/0.58 (define @t38 () (forall @t6 (not @t11))) % 0.32/0.58 (define @t39 () (not @t38)) % 0.32/0.58 (define @t40 () (forall @t6 (or @t34 @t4))) % 0.32/0.58 (define @t41 () (forall @t6 (or @t34 @t8))) % 0.32/0.58 (define @t42 () (not @t35)) % 0.32/0.58 (define @t43 () (and @t42 @t41 @t40)) % 0.32/0.58 (define @t44 () (= @t33 @t43)) % 0.32/0.58 (define @t45 () (@list false false)) % 0.32/0.58 (define @t46 () (not @t43)) % 0.32/0.58 (define @t47 () (@list false)) % 0.32/0.58 (define @t48 () (@list @t43)) % 0.32/0.58 (define @t49 () (tptp.rr tptp.i2003_11_14_17_22_31584 @t36)) % 0.32/0.58 (define @t50 () (tptp.cexcomp @t36)) % 0.32/0.58 (define @t51 () (not @t50)) % 0.32/0.58 (define @t52 () (not @t49)) % 0.32/0.58 (define @t53 () (or @t52 @t51)) % 0.32/0.58 (define @t54 () (@list true)) % 0.32/0.58 (define @t55 () (@list @t53)) % 0.32/0.58 (define @t56 () (tptp.ca_Cx4 @t36)) % 0.32/0.58 (define @t57 () (or @t52 @t56)) % 0.32/0.58 (define @t58 () (forall @t19 (not (tptp.ra_Px4 @t36 @t18)))) % 0.32/0.58 (define @t59 () (not @t58)) % 0.32/0.58 (define @t60 () (= @t56 @t59)) % 0.32/0.58 (define @t61 () (forall @t6 (not @t27))) % 0.32/0.58 (define @t62 () (tptp.cd @t36)) % 0.32/0.58 (define @t63 () (or @t52 @t62)) % 0.32/0.58 (define @t64 () (and @t62 @t50)) % 0.32/0.58 (define @t65 () (tptp.ca_Cx4xcomp @t36)) % 0.32/0.58 (define @t66 () (= @t65 @t64)) % 0.32/0.58 (define @t67 () (forall @t6 (not (tptp.ra_Px4 @t36 @t3)))) % 0.32/0.58 (define @t68 () (= @t65 @t67)) % 0.32/0.58 (assume @p1 (forall @t2 (and (tptp.cowlThing @t1) (not (tptp.cowlNothing @t1))))) % 0.32/0.58 (assume @p2 (forall @t2 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.32/0.58 (assume @p3 @t16) % 0.32/0.58 (assume @p4 (forall @t2 (=> (tptp.cc @t1) @t17))) % 0.32/0.58 (assume @p5 (forall @t2 (= @t20 (exists @t19 (tptp.ra_Px2 @t1 @t18))))) % 0.32/0.58 (assume @p6 (forall @t2 (= @t17 (not (exists @t6 (tptp.ra_Px2 @t1 @t3)))))) % 0.32/0.58 (assume @p7 (forall @t2 (= (tptp.ce @t1) (not (exists @t6 (tptp.ra_Px1 @t1 @t3)))))) % 0.32/0.58 (assume @p8 (forall @t2 (= @t21 (exists @t19 (tptp.ra_Px1 @t1 @t18))))) % 0.32/0.58 (assume @p9 @t26) % 0.32/0.58 (assume @p10 @t32) % 0.32/0.58 (assume @p11 (forall @t2 (= @t30 (and @t20 @t21)))) % 0.32/0.58 (assume @p12 @t33) % 0.32/0.58 (step @p13 :rule exists-elim :args ((= @t23 (not (forall @t19 (not @t22)))))) % 0.32/0.58 (step @p14 :rule refl :args (@t24)) % 0.32/0.58 (step @p15 :rule cong :premises (@p14 @p13) :args (@t25)) % 0.32/0.58 (step @p16 :rule cong :premises (@p15) :args (@t26)) % 0.32/0.58 (step @p17 :rule eq_resolve :premises (@p9 @p16)) % 0.32/0.58 (step @p18 :rule instantiate :premises (@p17) :args (@t37)) % 0.32/0.58 (step @p19 :rule bool-impl-elim :args (@t5 @t4)) % 0.32/0.58 (step @p20 :rule cong :premises (@p19) :args (@t7)) % 0.32/0.58 (step @p21 :rule bool-impl-elim :args (@t5 @t8)) % 0.32/0.58 (step @p22 :rule cong :premises (@p21) :args (@t9)) % 0.32/0.58 (step @p23 :rule bool-and-de-morgan :args (@t5 @t10 true)) % 0.32/0.58 (step @p24 :rule cong :premises (@p23) :args (@t38)) % 0.32/0.58 (step @p25 :rule cong :premises (@p24) :args (@t39)) % 0.32/0.58 (step @p26 :rule exists-elim :args ((= @t12 @t39))) % 0.32/0.58 (step @p27 :rule trans :premises (@p26 @p25)) % 0.32/0.58 (step @p28 :rule nary_cong :premises (@p27 @p22 @p20) :args (@t13)) % 0.32/0.58 (step @p29 :rule refl :args (@t14)) % 0.32/0.58 (step @p30 :rule cong :premises (@p29 @p28) :args (@t15)) % 0.32/0.58 (step @p31 :rule cong :premises (@p30) :args (@t16)) % 0.32/0.58 (step @p32 :rule eq_resolve :premises (@p3 @p31)) % 0.32/0.58 (step @p33 :rule instantiate :premises (@p32) :args ((@list tptp.i2003_11_14_17_22_31584))) % 0.32/0.58 (step @p34 :rule cnf_equiv_pos1 :args (@t44)) % 0.32/0.58 (step @p35 :rule reordering :premises (@p34) :args ((or (not @t33) @t43 (not @t44)))) % 0.32/0.58 (step @p36 :rule chain_m_resolution :premises (@p35 @p12 @p33) :args (@t43 @t45 (@list @t33 @t44))) % 0.32/0.58 (step @p37 :rule cnf_and_pos :args (@t43 2)) % 0.32/0.58 (step @p38 :rule reordering :premises (@p37) :args ((or @t40 @t46))) % 0.32/0.58 (step @p39 :rule chain_m_resolution :premises (@p38 @p36) :args (@t40 @t47 @t48)) % 0.32/0.58 (step @p40 :rule instantiate :premises (@p39) :args (@t37)) % 0.32/0.58 (step @p41 :rule cnf_and_pos :args (@t43 0)) % 0.32/0.58 (step @p42 :rule reordering :premises (@p41) :args ((or @t42 @t46))) % 0.32/0.58 (step @p43 :rule chain_m_resolution :premises (@p42 @p36) :args (@t42 @t47 @t48)) % 0.32/0.58 (step @p44 :rule skolemize :premises (@p43)) % 0.32/0.58 (step @p45 :rule bool-double-not-elim :args (@t49)) % 0.32/0.58 (step @p46 :rule refl :args (@t53)) % 0.32/0.58 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t53 (not @t52)))) % 0.32/0.58 (step @p48 :rule cnf_or_neg :args (@t53 0)) % 0.32/0.58 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.32/0.58 (step @p50 :rule reordering :premises (@p49) :args ((or @t49 @t53))) % 0.32/0.58 (step @p51 :rule chain_m_resolution :premises (@p50 @p44) :args (@t49 @t54 @t55)) % 0.32/0.58 (step @p52 :rule cnf_or_pos :args (@t57)) % 0.32/0.58 (step @p53 :rule reordering :premises (@p52) :args ((or @t52 @t56 (not @t57)))) % 0.32/0.58 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p40) :args (@t56 @t45 (@list @t49 @t57))) % 0.32/0.58 (step @p55 :rule cnf_equiv_pos1 :args (@t60)) % 0.32/0.58 (step @p56 :rule reordering :premises (@p55) :args ((or (not @t56) @t59 (not @t60)))) % 0.32/0.58 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p18) :args (@t59 @t45 (@list @t56 @t60))) % 0.32/0.58 (step @p58 :rule bool-double-not-elim :args (@t61)) % 0.32/0.58 (step @p59 :rule exists-elim :args ((= @t28 (not @t61)))) % 0.32/0.58 (step @p60 :rule cong :premises (@p59) :args (@t29)) % 0.32/0.58 (step @p61 :rule trans :premises (@p60 @p58)) % 0.32/0.58 (step @p62 :rule refl :args (@t30)) % 0.32/0.58 (step @p63 :rule cong :premises (@p62 @p61) :args (@t31)) % 0.32/0.58 (step @p64 :rule cong :premises (@p63) :args (@t32)) % 0.32/0.58 (step @p65 :rule eq_resolve :premises (@p10 @p64)) % 0.32/0.58 (step @p66 :rule instantiate :premises (@p65) :args (@t37)) % 0.32/0.58 (step @p67 :rule instantiate :premises (@p11) :args (@t37)) % 0.32/0.58 (step @p68 :rule cnf_and_pos :args (@t43 1)) % 0.32/0.58 (step @p69 :rule reordering :premises (@p68) :args ((or @t41 @t46))) % 0.32/0.58 (step @p70 :rule chain_m_resolution :premises (@p69 @p36) :args (@t41 @t47 @t48)) % 0.32/0.58 (step @p71 :rule instantiate :premises (@p70) :args (@t37)) % 0.32/0.58 (step @p72 :rule cnf_or_pos :args (@t63)) % 0.32/0.58 (step @p73 :rule reordering :premises (@p72) :args ((or @t52 @t62 (not @t63)))) % 0.32/0.58 (step @p74 :rule chain_m_resolution :premises (@p73 @p51 @p71) :args (@t62 @t45 (@list @t49 @t63))) % 0.32/0.58 (step @p75 :rule bool-double-not-elim :args (@t50)) % 0.32/0.58 (step @p76 :rule nary_cong :premises (@p46 @p75) :args ((or @t53 (not @t51)))) % 0.32/0.58 (step @p77 :rule cnf_or_neg :args (@t53 1)) % 0.32/0.58 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.32/0.58 (step @p79 :rule reordering :premises (@p78) :args ((or @t50 @t53))) % 0.32/0.58 (step @p80 :rule chain_m_resolution :premises (@p79 @p44) :args (@t50 @t54 @t55)) % 0.32/0.58 (step @p81 :rule cnf_and_neg :args (@t64)) % 0.32/0.58 (step @p82 :rule reordering :premises (@p81) :args ((or @t51 @t64 (not @t62)))) % 0.32/0.58 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p74) :args (@t64 @t45 (@list @t50 @t62))) % 0.32/0.58 (step @p84 :rule cnf_equiv_pos2 :args (@t66)) % 0.32/0.58 (step @p85 :rule reordering :premises (@p84) :args ((or @t65 (not @t64) (not @t66)))) % 0.32/0.58 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p67) :args (@t65 @t45 (@list @t64 @t66))) % 0.32/0.58 (step @p87 :rule cnf_equiv_pos1 :args (@t68)) % 0.32/0.58 (step @p88 :rule reordering :premises (@p87) :args ((or (not @t65) @t67 (not @t68)))) % 0.32/0.58 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p66) :args (@t67 @t45 (@list @t65 @t68))) % 0.32/0.58 (step @p90 :rule alpha_equiv :args (@t58 (@list @t18) (@list @t3))) % 0.32/0.58 (step @p91 :rule equiv_elim2 :premises (@p90)) % 0.32/0.58 (step @p92 false :rule chain_m_resolution :premises (@p91 @p89 @p57) :args (false (@list false true) (@list @t67 @t58))) % 0.32/0.58 ) % 0.32/0.58 % SZS output end Proof % 0.40/0.58 % cvc5 exiting %------------------------------------------------------------------------------