%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS003_1 : TPTP v9.2.1. Released v5.0.0. % 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 08:28:44 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS003_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.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 05:25:25 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort tptp.real 0) % 0.37/0.56 (declare-sort tptp.unreal 0) % 0.37/0.56 (declare-const tptp.exist tptp.unreal) % 0.37/0.56 (declare-const tptp.f (-> tptp.unreal Bool)) % 0.37/0.56 (declare-const tptp.e (-> tptp.unreal Bool)) % 0.37/0.56 (declare-const tptp.u3r2 (-> tptp.unreal tptp.real)) % 0.37/0.56 (declare-const tptp.d (-> tptp.unreal Bool)) % 0.37/0.56 (declare-const tptp.s1most (-> tptp.unreal Bool)) % 0.37/0.56 (declare-const tptp.s (-> tptp.unreal tptp.real Bool)) % 0.37/0.56 (declare-const tptp.equalish (-> tptp.real tptp.real Bool)) % 0.37/0.56 (declare-const tptp.u1r2 (-> tptp.unreal tptp.real)) % 0.37/0.56 (declare-const tptp.u1r1 (-> tptp.unreal tptp.real)) % 0.37/0.56 (declare-const tptp.c (-> tptp.unreal Bool)) % 0.37/0.56 (declare-const tptp.u3r1 (-> tptp.unreal tptp.real)) % 0.37/0.56 (declare-const tptp.s2least (-> tptp.unreal Bool)) % 0.37/0.56 (define @t1 () (@var "X1" tptp.unreal)) % 0.37/0.56 (define @t2 () (tptp.s2least @t1)) % 0.37/0.56 (define @t3 () (tptp.c @t1)) % 0.37/0.56 (define @t4 () (@list @t1)) % 0.37/0.56 (define @t5 () (forall @t4 (=> @t3 @t2))) % 0.37/0.56 (define @t6 () (tptp.u1r1 @t1)) % 0.37/0.56 (define @t7 () (tptp.u1r2 @t1)) % 0.37/0.56 (define @t8 () (tptp.equalish @t7 @t6)) % 0.37/0.56 (define @t9 () (forall @t4 (not (and @t2 @t8)))) % 0.37/0.56 (define @t10 () (tptp.s @t1 @t6)) % 0.37/0.56 (define @t11 () (forall @t4 (=> @t2 @t10))) % 0.37/0.56 (define @t12 () (tptp.s @t1 @t7)) % 0.37/0.56 (define @t13 () (forall @t4 (=> @t2 @t12))) % 0.37/0.56 (define @t14 () (@var "X2" tptp.real)) % 0.37/0.56 (define @t15 () (@var "X3" tptp.real)) % 0.37/0.56 (define @t16 () (tptp.equalish @t15 @t14)) % 0.37/0.56 (define @t17 () (tptp.s @t1 @t14)) % 0.37/0.56 (define @t18 () (tptp.s @t1 @t15)) % 0.37/0.56 (define @t19 () (and @t18 @t17)) % 0.37/0.56 (define @t20 () (@list @t14 @t15 @t1)) % 0.37/0.56 (define @t21 () (tptp.s1most @t1)) % 0.37/0.56 (define @t22 () (tptp.d @t1)) % 0.37/0.56 (define @t23 () (forall @t4 (=> @t22 @t21))) % 0.37/0.56 (define @t24 () (and @t21 @t18 @t17)) % 0.37/0.56 (define @t25 () (forall @t20 (=> @t24 @t16))) % 0.37/0.56 (define @t26 () (tptp.u3r1 @t1)) % 0.37/0.56 (define @t27 () (tptp.u3r2 @t1)) % 0.37/0.56 (define @t28 () (tptp.e @t1)) % 0.37/0.56 (define @t29 () (forall @t4 (=> @t28 @t3))) % 0.37/0.56 (define @t30 () (tptp.f @t1)) % 0.37/0.56 (define @t31 () (forall @t4 (=> @t30 @t22))) % 0.37/0.56 (define @t32 () (tptp.f tptp.exist)) % 0.37/0.56 (define @t33 () (not @t32)) % 0.37/0.56 (define @t34 () (tptp.e tptp.exist)) % 0.37/0.56 (define @t35 () (not @t34)) % 0.37/0.56 (define @t36 () (not @t17)) % 0.37/0.56 (define @t37 () (not @t18)) % 0.37/0.56 (define @t38 () (not @t21)) % 0.37/0.56 (define @t39 () (or @t38 @t37 @t36 @t16)) % 0.37/0.56 (define @t40 () (or @t38 @t37 @t36)) % 0.37/0.56 (define @t41 () (@list tptp.exist)) % 0.37/0.56 (define @t42 () (tptp.c tptp.exist)) % 0.37/0.56 (define @t43 () (or @t35 @t42)) % 0.37/0.56 (define @t44 () (@list false false)) % 0.37/0.56 (define @t45 () (tptp.s2least tptp.exist)) % 0.37/0.56 (define @t46 () (not @t42)) % 0.37/0.56 (define @t47 () (or @t46 @t45)) % 0.37/0.56 (define @t48 () (tptp.u1r2 tptp.exist)) % 0.37/0.56 (define @t49 () (tptp.s tptp.exist @t48)) % 0.37/0.56 (define @t50 () (not @t45)) % 0.37/0.56 (define @t51 () (or @t50 @t49)) % 0.37/0.56 (define @t52 () (tptp.u1r1 tptp.exist)) % 0.37/0.56 (define @t53 () (tptp.s tptp.exist @t52)) % 0.37/0.56 (define @t54 () (or @t50 @t53)) % 0.37/0.56 (define @t55 () (tptp.equalish @t48 @t52)) % 0.37/0.56 (define @t56 () (not @t55)) % 0.37/0.56 (define @t57 () (or @t50 @t56)) % 0.37/0.56 (define @t58 () (tptp.d tptp.exist)) % 0.37/0.56 (define @t59 () (or @t33 @t58)) % 0.37/0.56 (define @t60 () (tptp.s1most tptp.exist)) % 0.37/0.56 (define @t61 () (not @t58)) % 0.37/0.56 (define @t62 () (or @t61 @t60)) % 0.37/0.56 (define @t63 () (not @t53)) % 0.37/0.56 (define @t64 () (not @t49)) % 0.37/0.56 (define @t65 () (not @t60)) % 0.37/0.56 (define @t66 () (or @t65 @t64 @t63 @t55)) % 0.37/0.56 (define @t67 () (not @t66)) % 0.37/0.56 (define @t68 () (forall @t20 @t39)) % 0.37/0.56 (assume @p1 @t5) % 0.37/0.56 (assume @p2 (forall @t4 (=> @t2 @t3))) % 0.37/0.56 (assume @p3 @t9) % 0.37/0.56 (assume @p4 @t11) % 0.37/0.56 (assume @p5 @t13) % 0.37/0.56 (assume @p6 (forall @t20 (=> @t19 (or @t2 @t16)))) % 0.37/0.56 (assume @p7 @t23) % 0.37/0.56 (assume @p8 (forall @t4 (=> @t21 @t22))) % 0.37/0.56 (assume @p9 @t25) % 0.37/0.56 (assume @p10 (forall @t4 (=> (tptp.equalish @t27 @t26) @t21))) % 0.37/0.56 (assume @p11 (forall @t4 (or @t21 (tptp.s @t1 @t26)))) % 0.37/0.56 (assume @p12 (forall @t4 (or @t21 (tptp.s @t1 @t27)))) % 0.37/0.56 (assume @p13 @t29) % 0.37/0.56 (assume @p14 @t31) % 0.37/0.56 (assume @p15 (not (or @t35 @t33))) % 0.37/0.56 (assume @p16 true) % 0.37/0.56 (step @p17 :rule aci_norm :args ((= (or @t40 @t16) @t39))) % 0.37/0.56 (step @p18 :rule refl :args (@t16)) % 0.37/0.56 (step @p19 :rule aci_norm :args ((= (or @t38 (or @t37 @t36)) @t40))) % 0.37/0.56 (step @p20 :rule bool-and-de-morgan :args (@t18 @t17 true)) % 0.37/0.56 (step @p21 :rule refl :args (@t38)) % 0.37/0.56 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t38 (not @t19)))) % 0.37/0.56 (step @p23 :rule bool-and-de-morgan :args (@t21 @t18 (and @t17))) % 0.37/0.56 (step @p24 :rule trans :premises (@p23 @p22)) % 0.37/0.56 (step @p25 :rule trans :premises (@p24 @p19)) % 0.37/0.56 (step @p26 :rule nary_cong :premises (@p25 @p18) :args ((or (not @t24) @t16))) % 0.37/0.56 (step @p27 :rule trans :premises (@p26 @p17)) % 0.37/0.56 (step @p28 :rule bool-impl-elim :args (@t24 @t16)) % 0.37/0.56 (step @p29 :rule trans :premises (@p28 @p27)) % 0.37/0.56 (step @p30 :rule cong :premises (@p29) :args (@t25)) % 0.37/0.56 (step @p31 :rule eq_resolve :premises (@p9 @p30)) % 0.37/0.56 (step @p32 :rule bool-impl-elim :args (@t2 @t12)) % 0.37/0.56 (step @p33 :rule cong :premises (@p32) :args (@t13)) % 0.37/0.56 (step @p34 :rule eq_resolve :premises (@p5 @p33)) % 0.37/0.56 (step @p35 :rule instantiate :premises (@p34) :args (@t41)) % 0.37/0.56 (step @p36 :rule bool-impl-elim :args (@t3 @t2)) % 0.37/0.56 (step @p37 :rule cong :premises (@p36) :args (@t5)) % 0.37/0.56 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 0.37/0.56 (step @p39 :rule instantiate :premises (@p38) :args (@t41)) % 0.37/0.56 (step @p40 :rule bool-impl-elim :args (@t28 @t3)) % 0.37/0.56 (step @p41 :rule cong :premises (@p40) :args (@t29)) % 0.37/0.56 (step @p42 :rule eq_resolve :premises (@p13 @p41)) % 0.37/0.56 (step @p43 :rule instantiate :premises (@p42) :args (@t41)) % 0.37/0.56 (step @p44 :rule not_or_elim :premises (@p15) :args (0)) % 0.37/0.56 (step @p45 :rule not_not_elim :premises (@p44)) % 0.37/0.56 (step @p46 :rule cnf_or_pos :args (@t43)) % 0.37/0.56 (step @p47 :rule reordering :premises (@p46) :args ((or @t35 @t42 (not @t43)))) % 0.37/0.56 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p43) :args (@t42 @t44 (@list @t34 @t43))) % 0.37/0.56 (step @p49 :rule cnf_or_pos :args (@t47)) % 0.37/0.56 (step @p50 :rule reordering :premises (@p49) :args ((or @t46 @t45 (not @t47)))) % 0.37/0.56 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p39) :args (@t45 @t44 (@list @t42 @t47))) % 0.37/0.56 (step @p52 :rule cnf_or_pos :args (@t51)) % 0.37/0.56 (step @p53 :rule reordering :premises (@p52) :args ((or @t50 @t49 (not @t51)))) % 0.37/0.56 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p35) :args (@t49 @t44 (@list @t45 @t51))) % 0.37/0.56 (step @p55 :rule bool-impl-elim :args (@t2 @t10)) % 0.37/0.56 (step @p56 :rule cong :premises (@p55) :args (@t11)) % 0.37/0.56 (step @p57 :rule eq_resolve :premises (@p4 @p56)) % 0.37/0.56 (step @p58 :rule instantiate :premises (@p57) :args (@t41)) % 0.37/0.56 (step @p59 :rule cnf_or_pos :args (@t54)) % 0.37/0.56 (step @p60 :rule reordering :premises (@p59) :args ((or @t50 @t53 (not @t54)))) % 0.37/0.56 (step @p61 :rule chain_m_resolution :premises (@p60 @p51 @p58) :args (@t53 @t44 (@list @t45 @t54))) % 0.37/0.56 (step @p62 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 0.37/0.56 (step @p63 :rule cong :premises (@p62) :args (@t9)) % 0.37/0.56 (step @p64 :rule eq_resolve :premises (@p3 @p63)) % 0.37/0.56 (step @p65 :rule instantiate :premises (@p64) :args (@t41)) % 0.37/0.56 (step @p66 :rule cnf_or_pos :args (@t57)) % 0.37/0.56 (step @p67 :rule reordering :premises (@p66) :args ((or @t50 @t56 (not @t57)))) % 0.37/0.56 (step @p68 :rule chain_m_resolution :premises (@p67 @p51 @p65) :args (@t56 @t44 (@list @t45 @t57))) % 0.37/0.56 (step @p69 :rule bool-impl-elim :args (@t22 @t21)) % 0.37/0.56 (step @p70 :rule cong :premises (@p69) :args (@t23)) % 0.37/0.56 (step @p71 :rule eq_resolve :premises (@p7 @p70)) % 0.37/0.56 (step @p72 :rule instantiate :premises (@p71) :args (@t41)) % 0.37/0.56 (step @p73 :rule bool-impl-elim :args (@t30 @t22)) % 0.37/0.56 (step @p74 :rule cong :premises (@p73) :args (@t31)) % 0.37/0.56 (step @p75 :rule eq_resolve :premises (@p14 @p74)) % 0.37/0.56 (step @p76 :rule instantiate :premises (@p75) :args (@t41)) % 0.37/0.56 (step @p77 :rule not_or_elim :premises (@p15) :args (1)) % 0.37/0.56 (step @p78 :rule not_not_elim :premises (@p77)) % 0.37/0.56 (step @p79 :rule cnf_or_pos :args (@t59)) % 0.37/0.56 (step @p80 :rule reordering :premises (@p79) :args ((or @t33 @t58 (not @t59)))) % 0.37/0.56 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p76) :args (@t58 @t44 (@list @t32 @t59))) % 0.37/0.56 (step @p82 :rule cnf_or_pos :args (@t62)) % 0.37/0.56 (step @p83 :rule reordering :premises (@p82) :args ((or @t61 @t60 (not @t62)))) % 0.37/0.56 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p72) :args (@t60 @t44 (@list @t58 @t62))) % 0.37/0.56 (step @p85 :rule cnf_or_pos :args (@t66)) % 0.37/0.56 (step @p86 :rule reordering :premises (@p85) :args ((or @t65 @t55 @t63 @t64 @t67))) % 0.37/0.56 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p68 @p61 @p54) :args (@t67 (@list false true false false) (@list @t60 @t55 @t53 @t49))) % 0.37/0.56 (assume-push @p94 @t68) % 0.37/0.56 (step @p89 :rule instantiate :premises (@p31) :args ((@list @t52 @t48 tptp.exist))) % 0.37/0.56 (step-pop @p95 :rule scope :premises (@p89)) % 0.37/0.56 (step @p90 :rule process_scope :premises (@p95) :args (@t66)) % 0.37/0.56 (step @p92 :rule implies_elim :premises (@p90)) % 0.37/0.56 (step @p93 false :rule chain_m_resolution :premises (@p92 @p87 @p31) :args (false (@list true false) (@list @t66 @t68))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------