%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS105+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 : n027.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 08:28:56 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.55s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS105+1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n027.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 05:27:51 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.55 % SZS status Unsatisfiable % 0.31/0.55 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.ca_Ax2 (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.i2003_11_14_17_20_53634 $$unsorted) % 0.39/0.56 (declare-const tptp.cdxcomp (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.cc (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.cd (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.39/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.56 (define @t2 () (@list @t1)) % 0.39/0.56 (define @t3 () (tptp.cdxcomp @t1)) % 0.39/0.56 (define @t4 () (tptp.cUnsatisfiable @t1)) % 0.39/0.56 (define @t5 () (forall @t2 (=> @t4 @t3))) % 0.39/0.56 (define @t6 () (tptp.cc @t1)) % 0.39/0.56 (define @t7 () (forall @t2 (=> @t4 @t6))) % 0.39/0.56 (define @t8 () (@var "Y" $$unsorted)) % 0.39/0.56 (define @t9 () (tptp.cc @t8)) % 0.39/0.56 (define @t10 () (tptp.rr @t1 @t8)) % 0.39/0.56 (define @t11 () (@list @t8)) % 0.39/0.56 (define @t12 () (forall @t11 (=> @t10 @t9))) % 0.39/0.56 (define @t13 () (=> @t6 @t12)) % 0.39/0.56 (define @t14 () (forall @t2 @t13)) % 0.39/0.56 (define @t15 () (tptp.ra_Px1 @t1 @t8)) % 0.39/0.56 (define @t16 () (exists @t11 @t15)) % 0.39/0.56 (define @t17 () (not @t16)) % 0.39/0.56 (define @t18 () (tptp.cd @t1)) % 0.39/0.56 (define @t19 () (= @t18 @t17)) % 0.39/0.56 (define @t20 () (forall @t2 @t19)) % 0.39/0.56 (define @t21 () (@var "Y0" $$unsorted)) % 0.39/0.56 (define @t22 () (tptp.ra_Px1 @t1 @t21)) % 0.39/0.56 (define @t23 () (@list @t21)) % 0.39/0.56 (define @t24 () (exists @t23 @t22)) % 0.39/0.56 (define @t25 () (= @t3 @t24)) % 0.39/0.56 (define @t26 () (forall @t2 @t25)) % 0.39/0.56 (define @t27 () (tptp.ca_Ax2 @t1)) % 0.39/0.56 (define @t28 () (forall @t2 (= @t27 @t12))) % 0.39/0.56 (define @t29 () (forall @t2 (=> @t27 @t18))) % 0.39/0.56 (define @t30 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_20_53634)) % 0.39/0.56 (define @t31 () (@var "BOUND_VARIABLE_7494" $$unsorted)) % 0.39/0.56 (define @t32 () (tptp.cc @t31)) % 0.39/0.56 (define @t33 () (not (tptp.rr @t1 @t31))) % 0.39/0.56 (define @t34 () (not @t6)) % 0.39/0.56 (define @t35 () (or @t34 @t33 @t32)) % 0.39/0.56 (define @t36 () (or @t33 @t32)) % 0.39/0.56 (define @t37 () (or @t34 @t36)) % 0.39/0.56 (define @t38 () (@list @t1 @t31)) % 0.39/0.56 (define @t39 () (forall @t38 @t37)) % 0.39/0.56 (define @t40 () (@list @t31)) % 0.39/0.56 (define @t41 () (forall @t40 @t37)) % 0.39/0.56 (define @t42 () (forall @t40 @t36)) % 0.39/0.56 (define @t43 () (@list @t8)) % 0.39/0.56 (define @t44 () (or @t34 @t42)) % 0.39/0.56 (define @t45 () (forall @t11 (or (not @t10) @t9))) % 0.39/0.56 (define @t46 () (@list tptp.i2003_11_14_17_20_53634)) % 0.39/0.56 (define @t47 () (forall @t11 (not @t15))) % 0.39/0.56 (define @t48 () (tptp.cdxcomp tptp.i2003_11_14_17_20_53634)) % 0.39/0.56 (define @t49 () (not @t30)) % 0.39/0.56 (define @t50 () (or @t49 @t48)) % 0.39/0.56 (define @t51 () (@list false false)) % 0.39/0.56 (define @t52 () (forall @t23 (not (tptp.ra_Px1 tptp.i2003_11_14_17_20_53634 @t21)))) % 0.39/0.56 (define @t53 () (not @t52)) % 0.39/0.56 (define @t54 () (= @t48 @t53)) % 0.39/0.56 (define @t55 () (forall @t11 (not (tptp.ra_Px1 tptp.i2003_11_14_17_20_53634 @t8)))) % 0.39/0.56 (define @t56 () (@list true)) % 0.39/0.56 (define @t57 () (tptp.cd tptp.i2003_11_14_17_20_53634)) % 0.39/0.56 (define @t58 () (= @t57 @t55)) % 0.39/0.56 (define @t59 () (not @t57)) % 0.39/0.56 (define @t60 () (@list true false)) % 0.39/0.56 (define @t61 () (tptp.ca_Ax2 tptp.i2003_11_14_17_20_53634)) % 0.39/0.56 (define @t62 () (not @t61)) % 0.39/0.56 (define @t63 () (or @t62 @t57)) % 0.39/0.56 (define @t64 () (forall @t11 (or (not (tptp.rr tptp.i2003_11_14_17_20_53634 @t8)) @t9))) % 0.39/0.56 (define @t65 () (= @t61 @t64)) % 0.39/0.56 (define @t66 () (not @t64)) % 0.39/0.56 (define @t67 () (@quantifiers_skolemize @t64 0)) % 0.39/0.56 (define @t68 () (tptp.cc @t67)) % 0.39/0.56 (define @t69 () (tptp.rr tptp.i2003_11_14_17_20_53634 @t67)) % 0.39/0.56 (define @t70 () (not @t69)) % 0.39/0.56 (define @t71 () (or @t70 @t68)) % 0.39/0.56 (define @t72 () (@list @t71)) % 0.39/0.56 (define @t73 () (tptp.cc tptp.i2003_11_14_17_20_53634)) % 0.39/0.56 (define @t74 () (or @t49 @t73)) % 0.39/0.56 (define @t75 () (not @t73)) % 0.39/0.56 (define @t76 () (or @t75 @t70 @t68)) % 0.39/0.56 (define @t77 () (not @t76)) % 0.39/0.56 (define @t78 () (forall @t38 @t35)) % 0.39/0.56 (assume @p1 (forall @t2 (and (tptp.cowlThing @t1) (not (tptp.cowlNothing @t1))))) % 0.39/0.56 (assume @p2 (forall @t2 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.39/0.56 (assume @p3 @t5) % 0.39/0.56 (assume @p4 @t7) % 0.39/0.56 (assume @p5 @t14) % 0.39/0.56 (assume @p6 @t20) % 0.39/0.56 (assume @p7 @t26) % 0.39/0.56 (assume @p8 @t28) % 0.39/0.56 (assume @p9 @t29) % 0.39/0.56 (assume @p10 @t30) % 0.39/0.56 (step @p11 :rule aci_norm :args ((= @t37 @t35))) % 0.39/0.56 (step @p12 :rule cong :premises (@p11) :args (@t39)) % 0.39/0.56 (step @p13 :rule quant-merge-prenex :args ((= (forall @t2 @t41) @t39))) % 0.39/0.56 (step @p14 :rule alpha_equiv :args (@t42 (@list @t31) @t43)) % 0.39/0.56 (step @p15 :rule refl :args (@t34)) % 0.39/0.56 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t44)) % 0.39/0.56 (step @p17 :rule quant-miniscope-or :args ((= @t41 @t44))) % 0.39/0.56 (step @p18 :rule trans :premises (@p17 @p16)) % 0.39/0.56 (step @p19 :rule symm :premises (@p18)) % 0.39/0.56 (step @p20 :rule cong :premises (@p19) :args ((forall @t2 (or @t34 @t45)))) % 0.39/0.56 (step @p21 :rule trans :premises (@p20 @p13)) % 0.39/0.56 (step @p22 :rule trans :premises (@p21 @p12)) % 0.39/0.56 (step @p23 :rule bool-impl-elim :args (@t6 @t45)) % 0.39/0.56 (step @p24 :rule cong :premises (@p23) :args ((forall @t2 (=> @t6 @t45)))) % 0.39/0.56 (step @p25 :rule trans :premises (@p24 @p22)) % 0.39/0.56 (step @p26 :rule bool-impl-elim :args (@t10 @t9)) % 0.39/0.56 (step @p27 :rule cong :premises (@p26) :args (@t12)) % 0.39/0.56 (step @p28 :rule refl :args (@t6)) % 0.39/0.56 (step @p29 :rule cong :premises (@p28 @p27) :args (@t13)) % 0.39/0.56 (step @p30 :rule cong :premises (@p29) :args (@t14)) % 0.39/0.56 (step @p31 :rule trans :premises (@p30 @p25)) % 0.39/0.56 (step @p32 :rule eq_resolve :premises (@p5 @p31)) % 0.39/0.56 (step @p33 :rule eq-symm :args (@t45 @t27)) % 0.39/0.56 (step @p34 :rule refl :args (@t27)) % 0.39/0.56 (step @p35 :rule cong :premises (@p27 @p34) :args ((= @t12 @t27))) % 0.39/0.56 (step @p36 :rule trans :premises (@p35 @p33)) % 0.39/0.56 (step @p37 :rule eq-symm :args (@t27 @t12)) % 0.39/0.56 (step @p38 :rule trans :premises (@p37 @p36)) % 0.39/0.56 (step @p39 :rule cong :premises (@p38) :args (@t28)) % 0.39/0.56 (step @p40 :rule eq_resolve :premises (@p8 @p39)) % 0.39/0.56 (step @p41 :rule instantiate :premises (@p40) :args (@t46)) % 0.39/0.56 (step @p42 :rule bool-impl-elim :args (@t27 @t18)) % 0.39/0.56 (step @p43 :rule cong :premises (@p42) :args (@t29)) % 0.39/0.56 (step @p44 :rule eq_resolve :premises (@p9 @p43)) % 0.39/0.56 (step @p45 :rule instantiate :premises (@p44) :args (@t46)) % 0.39/0.56 (step @p46 :rule bool-double-not-elim :args (@t47)) % 0.39/0.56 (step @p47 :rule exists-elim :args ((= @t16 (not @t47)))) % 0.39/0.56 (step @p48 :rule cong :premises (@p47) :args (@t17)) % 0.39/0.56 (step @p49 :rule trans :premises (@p48 @p46)) % 0.39/0.56 (step @p50 :rule refl :args (@t18)) % 0.39/0.56 (step @p51 :rule cong :premises (@p50 @p49) :args (@t19)) % 0.39/0.56 (step @p52 :rule cong :premises (@p51) :args (@t20)) % 0.39/0.56 (step @p53 :rule eq_resolve :premises (@p6 @p52)) % 0.39/0.56 (step @p54 :rule instantiate :premises (@p53) :args (@t46)) % 0.39/0.56 (step @p55 :rule exists-elim :args ((= @t24 (not (forall @t23 (not @t22)))))) % 0.39/0.56 (step @p56 :rule refl :args (@t3)) % 0.39/0.56 (step @p57 :rule cong :premises (@p56 @p55) :args (@t25)) % 0.39/0.56 (step @p58 :rule cong :premises (@p57) :args (@t26)) % 0.39/0.56 (step @p59 :rule eq_resolve :premises (@p7 @p58)) % 0.39/0.56 (step @p60 :rule instantiate :premises (@p59) :args (@t46)) % 0.39/0.56 (step @p61 :rule bool-impl-elim :args (@t4 @t3)) % 0.39/0.56 (step @p62 :rule cong :premises (@p61) :args (@t5)) % 0.39/0.56 (step @p63 :rule eq_resolve :premises (@p3 @p62)) % 0.39/0.56 (step @p64 :rule instantiate :premises (@p63) :args (@t46)) % 0.39/0.56 (step @p65 :rule cnf_or_pos :args (@t50)) % 0.39/0.56 (step @p66 :rule reordering :premises (@p65) :args ((or @t49 @t48 (not @t50)))) % 0.39/0.56 (step @p67 :rule chain_m_resolution :premises (@p66 @p10 @p64) :args (@t48 @t51 (@list @t30 @t50))) % 0.39/0.56 (step @p68 :rule cnf_equiv_pos1 :args (@t54)) % 0.39/0.56 (step @p69 :rule reordering :premises (@p68) :args ((or (not @t48) @t53 (not @t54)))) % 0.39/0.56 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p60) :args (@t53 @t51 (@list @t48 @t54))) % 0.39/0.56 (step @p71 :rule alpha_equiv :args (@t52 (@list @t21) @t43)) % 0.39/0.56 (step @p72 :rule equiv_elim2 :premises (@p71)) % 0.39/0.56 (step @p73 :rule chain_m_resolution :premises (@p72 @p70) :args ((not @t55) @t56 (@list @t52))) % 0.39/0.56 (step @p74 :rule cnf_equiv_pos1 :args (@t58)) % 0.39/0.56 (step @p75 :rule reordering :premises (@p74) :args ((or @t55 @t59 (not @t58)))) % 0.39/0.56 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p54) :args (@t59 @t60 (@list @t55 @t58))) % 0.39/0.56 (step @p77 :rule cnf_or_pos :args (@t63)) % 0.39/0.56 (step @p78 :rule reordering :premises (@p77) :args ((or @t57 @t62 (not @t63)))) % 0.39/0.56 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p45) :args (@t62 @t60 (@list @t57 @t63))) % 0.39/0.56 (step @p80 :rule cnf_equiv_pos2 :args (@t65)) % 0.39/0.56 (step @p81 :rule reordering :premises (@p80) :args ((or @t61 @t66 (not @t65)))) % 0.39/0.56 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p41) :args (@t66 @t60 (@list @t61 @t65))) % 0.39/0.56 (step @p83 :rule skolemize :premises (@p82)) % 0.39/0.56 (step @p84 :rule cnf_or_neg :args (@t71 1)) % 0.39/0.56 (step @p85 :rule chain_m_resolution :premises (@p84 @p83) :args ((not @t68) @t56 @t72)) % 0.39/0.56 (step @p86 :rule bool-double-not-elim :args (@t69)) % 0.39/0.56 (step @p87 :rule refl :args (@t71)) % 0.39/0.56 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t71 (not @t70)))) % 0.39/0.56 (step @p89 :rule cnf_or_neg :args (@t71 0)) % 0.39/0.56 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.39/0.56 (step @p91 :rule reordering :premises (@p90) :args ((or @t69 @t71))) % 0.39/0.56 (step @p92 :rule chain_m_resolution :premises (@p91 @p83) :args (@t69 @t56 @t72)) % 0.39/0.56 (step @p93 :rule bool-impl-elim :args (@t4 @t6)) % 0.39/0.56 (step @p94 :rule cong :premises (@p93) :args (@t7)) % 0.39/0.56 (step @p95 :rule eq_resolve :premises (@p4 @p94)) % 0.39/0.56 (step @p96 :rule instantiate :premises (@p95) :args (@t46)) % 0.39/0.56 (step @p97 :rule cnf_or_pos :args (@t74)) % 0.39/0.56 (step @p98 :rule reordering :premises (@p97) :args ((or @t49 @t73 (not @t74)))) % 0.39/0.56 (step @p99 :rule chain_m_resolution :premises (@p98 @p10 @p96) :args (@t73 @t51 (@list @t30 @t74))) % 0.39/0.56 (step @p100 :rule cnf_or_pos :args (@t76)) % 0.39/0.56 (step @p101 :rule reordering :premises (@p100) :args ((or @t75 @t70 @t68 @t77))) % 0.39/0.56 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p92 @p85) :args (@t77 (@list false false true) (@list @t73 @t69 @t68))) % 0.39/0.56 (assume-push @p109 @t78) % 0.39/0.56 (step @p104 :rule instantiate :premises (@p32) :args ((@list tptp.i2003_11_14_17_20_53634 @t67))) % 0.39/0.56 (step-pop @p110 :rule scope :premises (@p104)) % 0.39/0.56 (step @p105 :rule process_scope :premises (@p110) :args (@t76)) % 0.39/0.56 (step @p107 :rule implies_elim :premises (@p105)) % 0.39/0.56 (step @p108 false :rule chain_m_resolution :premises (@p107 @p102 @p32) :args (false @t60 (@list @t76 @t78))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------