%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS124+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 : n026.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 0.31s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : KRS124+1 : TPTP v9.2.1. Released v3.1.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n026.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 05:28:10 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.57 % SZS status Unsatisfiable % 0.31/0.57 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.i2003_11_14_17_22_10903 $$unsorted) % 0.39/0.58 (declare-const tptp.ce3 (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cd (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cf (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.ca_Ax3 (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cd1xcomp (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.ra_Px2 (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cdxcomp (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cc (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cd1 (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cc1 (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.58 (define @t2 () (@list @t1)) % 0.39/0.58 (define @t3 () (@var "Y" $$unsorted)) % 0.39/0.58 (define @t4 () (tptp.ca_Ax3 @t3)) % 0.39/0.58 (define @t5 () (tptp.rr @t1 @t3)) % 0.39/0.58 (define @t6 () (@list @t3)) % 0.39/0.58 (define @t7 () (forall @t6 (=> @t5 @t4))) % 0.39/0.58 (define @t8 () (tptp.cowlThing @t3)) % 0.39/0.58 (define @t9 () (and @t5 @t8)) % 0.39/0.58 (define @t10 () (exists @t6 @t9)) % 0.39/0.58 (define @t11 () (and @t10 @t7)) % 0.39/0.58 (define @t12 () (tptp.cUnsatisfiable @t1)) % 0.39/0.58 (define @t13 () (= @t12 @t11)) % 0.39/0.58 (define @t14 () (forall @t2 @t13)) % 0.39/0.58 (define @t15 () (tptp.cdxcomp @t1)) % 0.39/0.58 (define @t16 () (tptp.cc @t1)) % 0.39/0.58 (define @t17 () (forall @t2 (=> @t16 @t15))) % 0.39/0.58 (define @t18 () (tptp.cd1 @t1)) % 0.39/0.58 (define @t19 () (tptp.cc1 @t1)) % 0.39/0.58 (define @t20 () (tptp.cd1xcomp @t1)) % 0.39/0.58 (define @t21 () (tptp.ra_Px1 @t1 @t3)) % 0.39/0.58 (define @t22 () (exists @t6 @t21)) % 0.39/0.58 (define @t23 () (not @t22)) % 0.39/0.58 (define @t24 () (tptp.cd @t1)) % 0.39/0.58 (define @t25 () (= @t24 @t23)) % 0.39/0.58 (define @t26 () (forall @t2 @t25)) % 0.39/0.58 (define @t27 () (@var "Y0" $$unsorted)) % 0.39/0.58 (define @t28 () (tptp.ra_Px1 @t1 @t27)) % 0.39/0.58 (define @t29 () (@list @t27)) % 0.39/0.58 (define @t30 () (exists @t29 @t28)) % 0.39/0.58 (define @t31 () (= @t15 @t30)) % 0.39/0.58 (define @t32 () (forall @t2 @t31)) % 0.39/0.58 (define @t33 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_22_10903)) % 0.39/0.58 (define @t34 () (not (tptp.rr tptp.i2003_11_14_17_22_10903 @t3))) % 0.39/0.58 (define @t35 () (forall @t6 (or @t34 (not @t8)))) % 0.39/0.58 (define @t36 () (@quantifiers_skolemize @t35 0)) % 0.39/0.58 (define @t37 () (@list @t36)) % 0.39/0.58 (define @t38 () (forall @t6 (not @t9))) % 0.39/0.58 (define @t39 () (not @t38)) % 0.39/0.58 (define @t40 () (forall @t6 (or @t34 @t4))) % 0.39/0.58 (define @t41 () (not @t35)) % 0.39/0.58 (define @t42 () (and @t41 @t40)) % 0.39/0.58 (define @t43 () (= @t33 @t42)) % 0.39/0.58 (define @t44 () (@list false false)) % 0.39/0.58 (define @t45 () (not @t42)) % 0.39/0.58 (define @t46 () (@list false)) % 0.39/0.58 (define @t47 () (@list @t42)) % 0.39/0.58 (define @t48 () (tptp.rr tptp.i2003_11_14_17_22_10903 @t36)) % 0.39/0.58 (define @t49 () (not @t48)) % 0.39/0.58 (define @t50 () (or @t49 (not (tptp.cowlThing @t36)))) % 0.39/0.58 (define @t51 () (tptp.ca_Ax3 @t36)) % 0.39/0.58 (define @t52 () (or @t49 @t51)) % 0.39/0.58 (define @t53 () (tptp.cc @t36)) % 0.39/0.58 (define @t54 () (tptp.cd @t36)) % 0.39/0.58 (define @t55 () (and @t54 @t53)) % 0.39/0.58 (define @t56 () (= @t51 @t55)) % 0.39/0.58 (define @t57 () (not @t55)) % 0.39/0.58 (define @t58 () (@list @t55)) % 0.39/0.58 (define @t59 () (tptp.cdxcomp @t36)) % 0.39/0.58 (define @t60 () (not @t53)) % 0.39/0.58 (define @t61 () (or @t60 @t59)) % 0.39/0.58 (define @t62 () (forall @t6 (not @t21))) % 0.39/0.58 (define @t63 () (forall @t6 (not (tptp.ra_Px1 @t36 @t3)))) % 0.39/0.58 (define @t64 () (= @t54 @t63)) % 0.39/0.58 (define @t65 () (forall @t29 (not (tptp.ra_Px1 @t36 @t27)))) % 0.39/0.58 (define @t66 () (not @t65)) % 0.39/0.58 (define @t67 () (= @t59 @t66)) % 0.39/0.58 (assume @p1 (forall @t2 (and (tptp.cowlThing @t1) (not (tptp.cowlNothing @t1))))) % 0.39/0.58 (assume @p2 (forall @t2 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.39/0.58 (assume @p3 @t14) % 0.39/0.58 (assume @p4 @t17) % 0.39/0.58 (assume @p5 (forall @t2 (=> @t19 @t18))) % 0.39/0.58 (assume @p6 (forall @t2 (=> @t19 @t20))) % 0.39/0.58 (assume @p7 @t26) % 0.39/0.58 (assume @p8 @t32) % 0.39/0.58 (assume @p9 (forall @t2 (= @t18 (exists @t29 (tptp.ra_Px2 @t1 @t27))))) % 0.39/0.58 (assume @p10 (forall @t2 (= @t20 (not (exists @t6 (tptp.ra_Px2 @t1 @t3)))))) % 0.39/0.58 (assume @p11 (forall @t2 (=> (tptp.ce3 @t1) @t16))) % 0.39/0.58 (assume @p12 (forall @t2 (=> (tptp.cf @t1) @t24))) % 0.39/0.58 (assume @p13 (forall @t2 (= (tptp.ca_Ax3 @t1) (and @t24 @t16)))) % 0.39/0.58 (assume @p14 @t33) % 0.39/0.58 (step @p15 :rule bool-impl-elim :args (@t16 @t15)) % 0.39/0.58 (step @p16 :rule cong :premises (@p15) :args (@t17)) % 0.39/0.58 (step @p17 :rule eq_resolve :premises (@p4 @p16)) % 0.39/0.58 (step @p18 :rule instantiate :premises (@p17) :args (@t37)) % 0.39/0.58 (step @p19 :rule instantiate :premises (@p13) :args (@t37)) % 0.39/0.58 (step @p20 :rule bool-impl-elim :args (@t5 @t4)) % 0.39/0.58 (step @p21 :rule cong :premises (@p20) :args (@t7)) % 0.39/0.58 (step @p22 :rule bool-and-de-morgan :args (@t5 @t8 true)) % 0.39/0.58 (step @p23 :rule cong :premises (@p22) :args (@t38)) % 0.39/0.58 (step @p24 :rule cong :premises (@p23) :args (@t39)) % 0.39/0.58 (step @p25 :rule exists-elim :args ((= @t10 @t39))) % 0.39/0.58 (step @p26 :rule trans :premises (@p25 @p24)) % 0.39/0.58 (step @p27 :rule nary_cong :premises (@p26 @p21) :args (@t11)) % 0.39/0.58 (step @p28 :rule refl :args (@t12)) % 0.39/0.58 (step @p29 :rule cong :premises (@p28 @p27) :args (@t13)) % 0.39/0.58 (step @p30 :rule cong :premises (@p29) :args (@t14)) % 0.39/0.58 (step @p31 :rule eq_resolve :premises (@p3 @p30)) % 0.39/0.58 (step @p32 :rule instantiate :premises (@p31) :args ((@list tptp.i2003_11_14_17_22_10903))) % 0.39/0.58 (step @p33 :rule cnf_equiv_pos1 :args (@t43)) % 0.39/0.58 (step @p34 :rule reordering :premises (@p33) :args ((or (not @t33) @t42 (not @t43)))) % 0.39/0.58 (step @p35 :rule chain_m_resolution :premises (@p34 @p14 @p32) :args (@t42 @t44 (@list @t33 @t43))) % 0.39/0.58 (step @p36 :rule cnf_and_pos :args (@t42 1)) % 0.39/0.58 (step @p37 :rule reordering :premises (@p36) :args ((or @t40 @t45))) % 0.39/0.58 (step @p38 :rule chain_m_resolution :premises (@p37 @p35) :args (@t40 @t46 @t47)) % 0.39/0.58 (step @p39 :rule instantiate :premises (@p38) :args (@t37)) % 0.39/0.58 (step @p40 :rule cnf_and_pos :args (@t42 0)) % 0.39/0.58 (step @p41 :rule reordering :premises (@p40) :args ((or @t41 @t45))) % 0.39/0.58 (step @p42 :rule chain_m_resolution :premises (@p41 @p35) :args (@t41 @t46 @t47)) % 0.39/0.58 (step @p43 :rule skolemize :premises (@p42)) % 0.39/0.58 (step @p44 :rule bool-double-not-elim :args (@t48)) % 0.39/0.58 (step @p45 :rule refl :args (@t50)) % 0.39/0.58 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t50 (not @t49)))) % 0.39/0.58 (step @p47 :rule cnf_or_neg :args (@t50 0)) % 0.39/0.58 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.39/0.58 (step @p49 :rule reordering :premises (@p48) :args ((or @t48 @t50))) % 0.39/0.58 (step @p50 :rule chain_m_resolution :premises (@p49 @p43) :args (@t48 (@list true) (@list @t50))) % 0.39/0.58 (step @p51 :rule cnf_or_pos :args (@t52)) % 0.39/0.58 (step @p52 :rule reordering :premises (@p51) :args ((or @t49 @t51 (not @t52)))) % 0.39/0.58 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p39) :args (@t51 @t44 (@list @t48 @t52))) % 0.39/0.58 (step @p54 :rule cnf_equiv_pos1 :args (@t56)) % 0.39/0.58 (step @p55 :rule reordering :premises (@p54) :args ((or (not @t51) @t55 (not @t56)))) % 0.39/0.58 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p19) :args (@t55 @t44 (@list @t51 @t56))) % 0.39/0.58 (step @p57 :rule cnf_and_pos :args (@t55 1)) % 0.39/0.58 (step @p58 :rule reordering :premises (@p57) :args ((or @t53 @t57))) % 0.39/0.58 (step @p59 :rule chain_m_resolution :premises (@p58 @p56) :args (@t53 @t46 @t58)) % 0.39/0.58 (step @p60 :rule cnf_or_pos :args (@t61)) % 0.39/0.58 (step @p61 :rule reordering :premises (@p60) :args ((or @t60 @t59 (not @t61)))) % 0.39/0.58 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p18) :args (@t59 @t44 (@list @t53 @t61))) % 0.39/0.58 (step @p63 :rule bool-double-not-elim :args (@t62)) % 0.39/0.58 (step @p64 :rule exists-elim :args ((= @t22 (not @t62)))) % 0.39/0.58 (step @p65 :rule cong :premises (@p64) :args (@t23)) % 0.39/0.58 (step @p66 :rule trans :premises (@p65 @p63)) % 0.39/0.58 (step @p67 :rule refl :args (@t24)) % 0.39/0.58 (step @p68 :rule cong :premises (@p67 @p66) :args (@t25)) % 0.39/0.58 (step @p69 :rule cong :premises (@p68) :args (@t26)) % 0.39/0.58 (step @p70 :rule eq_resolve :premises (@p7 @p69)) % 0.39/0.58 (step @p71 :rule instantiate :premises (@p70) :args (@t37)) % 0.39/0.58 (step @p72 :rule cnf_and_pos :args (@t55 0)) % 0.39/0.58 (step @p73 :rule reordering :premises (@p72) :args ((or @t54 @t57))) % 0.39/0.58 (step @p74 :rule chain_m_resolution :premises (@p73 @p56) :args (@t54 @t46 @t58)) % 0.39/0.58 (step @p75 :rule cnf_equiv_pos1 :args (@t64)) % 0.39/0.58 (step @p76 :rule reordering :premises (@p75) :args ((or (not @t54) @t63 (not @t64)))) % 0.39/0.58 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p71) :args (@t63 @t44 (@list @t54 @t64))) % 0.39/0.58 (step @p78 :rule alpha_equiv :args (@t63 (@list @t3) (@list @t27))) % 0.39/0.58 (step @p79 :rule equiv_elim1 :premises (@p78)) % 0.39/0.58 (step @p80 :rule chain_m_resolution :premises (@p79 @p77) :args (@t65 @t46 (@list @t63))) % 0.39/0.58 (step @p81 :rule exists-elim :args ((= @t30 (not (forall @t29 (not @t28)))))) % 0.39/0.58 (step @p82 :rule refl :args (@t15)) % 0.39/0.58 (step @p83 :rule cong :premises (@p82 @p81) :args (@t31)) % 0.39/0.58 (step @p84 :rule cong :premises (@p83) :args (@t32)) % 0.39/0.58 (step @p85 :rule eq_resolve :premises (@p8 @p84)) % 0.39/0.58 (step @p86 :rule instantiate :premises (@p85) :args (@t37)) % 0.39/0.58 (step @p87 :rule cnf_equiv_pos1 :args (@t67)) % 0.39/0.58 (step @p88 :rule reordering :premises (@p87) :args ((or (not @t59) @t66 (not @t67)))) % 0.39/0.58 (step @p89 false :rule chain_m_resolution :premises (@p88 @p86 @p80 @p62) :args (false (@list false false false) (@list @t67 @t65 @t59))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------