%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PHI011+1 : TPTP v9.2.1. Released v7.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:43:12 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PHI011+1 : TPTP v9.2.1. Released v7.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.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 12:52:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.exemplifies_property (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.is_the (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.object (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.property (-> $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.56 (define @t2 () (tptp.object @t1)) % 0.38/0.56 (define @t3 () (@list @t1)) % 0.38/0.56 (define @t4 () (@var "F" $$unsorted)) % 0.38/0.56 (define @t5 () (tptp.property @t4)) % 0.38/0.56 (define @t6 () (and @t5 @t2)) % 0.38/0.56 (define @t7 () (@list @t1 @t4)) % 0.38/0.56 (define @t8 () (tptp.is_the @t1 @t4)) % 0.38/0.56 (define @t9 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t10 () (tptp.exemplifies_property @t4 @t9)) % 0.38/0.56 (define @t11 () (= @t1 @t9)) % 0.38/0.56 (define @t12 () (and @t8 @t11)) % 0.38/0.56 (define @t13 () (=> @t12 @t10)) % 0.38/0.56 (define @t14 () (tptp.object @t9)) % 0.38/0.56 (define @t15 () (and @t2 @t5 @t14)) % 0.38/0.56 (define @t16 () (@list @t1 @t4 @t9)) % 0.38/0.56 (define @t17 () (forall @t16 (=> @t15 @t13))) % 0.38/0.56 (define @t18 () (@var "Z" $$unsorted)) % 0.38/0.56 (define @t19 () (tptp.exemplifies_property @t4 @t18)) % 0.38/0.56 (define @t20 () (tptp.is_the @t18 @t4)) % 0.38/0.56 (define @t21 () (=> @t20 @t19)) % 0.38/0.56 (define @t22 () (tptp.object @t18)) % 0.38/0.56 (define @t23 () (@list @t18)) % 0.38/0.56 (define @t24 () (forall @t23 (=> @t22 @t21))) % 0.38/0.56 (define @t25 () (tptp.is_the @t9 @t4)) % 0.38/0.56 (define @t26 () (and @t14 @t25)) % 0.38/0.56 (define @t27 () (@list @t9)) % 0.38/0.56 (define @t28 () (exists @t27 @t26)) % 0.38/0.56 (define @t29 () (=> @t28 @t24)) % 0.38/0.56 (define @t30 () (=> @t5 @t29)) % 0.38/0.56 (define @t31 () (@list @t4)) % 0.38/0.56 (define @t32 () (forall @t31 @t30)) % 0.38/0.56 (define @t33 () (not @t32)) % 0.38/0.56 (define @t34 () (not @t25)) % 0.38/0.56 (define @t35 () (not @t5)) % 0.38/0.56 (define @t36 () (not @t14)) % 0.38/0.56 (define @t37 () (or @t36 @t35 @t34 @t10)) % 0.38/0.56 (define @t38 () (not (= @t9 @t9))) % 0.38/0.56 (define @t39 () (or @t36 @t35 @t36 @t34 @t38 @t10)) % 0.38/0.56 (define @t40 () (@list @t4 @t9)) % 0.38/0.56 (define @t41 () (not @t11)) % 0.38/0.56 (define @t42 () (not @t8)) % 0.38/0.56 (define @t43 () (not @t2)) % 0.38/0.56 (define @t44 () (or @t41 @t43 @t35 @t36 @t42 @t41 @t10)) % 0.38/0.56 (define @t45 () (or @t43 @t35 @t36 @t42 @t41 @t10)) % 0.38/0.56 (define @t46 () (forall @t3 @t45)) % 0.38/0.56 (define @t47 () (forall @t40 @t46)) % 0.38/0.56 (define @t48 () (forall (@list @t4 @t9 @t1) @t45)) % 0.38/0.56 (define @t49 () (or @t42 @t41 @t10)) % 0.38/0.56 (define @t50 () (or @t43 @t35 @t36)) % 0.38/0.56 (define @t51 () (@var "BOUND_VARIABLE_7513" $$unsorted)) % 0.38/0.56 (define @t52 () (tptp.exemplifies_property @t4 @t51)) % 0.38/0.56 (define @t53 () (not (tptp.is_the @t51 @t4))) % 0.38/0.56 (define @t54 () (not (tptp.object @t51))) % 0.38/0.56 (define @t55 () (@var "BOUND_VARIABLE_7506" $$unsorted)) % 0.38/0.56 (define @t56 () (not (tptp.is_the @t55 @t4))) % 0.38/0.56 (define @t57 () (not (tptp.object @t55))) % 0.38/0.56 (define @t58 () (or @t35 @t57 @t56 @t54 @t53 @t52)) % 0.38/0.56 (define @t59 () (or @t54 @t53 @t52)) % 0.38/0.56 (define @t60 () (or @t57 @t56)) % 0.38/0.56 (define @t61 () (or @t35 @t60 @t59)) % 0.38/0.56 (define @t62 () (@list @t4 @t55 @t51)) % 0.38/0.56 (define @t63 () (forall @t62 @t61)) % 0.38/0.56 (define @t64 () (forall (@list @t55 @t51) @t61)) % 0.38/0.56 (define @t65 () (forall (@list @t51) @t59)) % 0.38/0.56 (define @t66 () (forall (@list @t55) @t60)) % 0.38/0.56 (define @t67 () (or @t35 @t66 @t65)) % 0.38/0.56 (define @t68 () (not @t20)) % 0.38/0.56 (define @t69 () (not @t22)) % 0.38/0.56 (define @t70 () (or @t69 @t68 @t19)) % 0.38/0.56 (define @t71 () (forall @t23 @t70)) % 0.38/0.56 (define @t72 () (forall @t27 (or @t36 @t34))) % 0.38/0.56 (define @t73 () (or @t35 @t72 @t71)) % 0.38/0.56 (define @t74 () (not @t72)) % 0.38/0.56 (define @t75 () (=> @t74 @t71)) % 0.38/0.56 (define @t76 () (forall @t27 (not @t26))) % 0.38/0.56 (define @t77 () (not @t76)) % 0.38/0.56 (define @t78 () (forall @t62 @t58)) % 0.38/0.56 (define @t79 () (@quantifiers_skolemize @t78 2)) % 0.38/0.56 (define @t80 () (@quantifiers_skolemize @t78 0)) % 0.38/0.56 (define @t81 () (tptp.exemplifies_property @t80 @t79)) % 0.38/0.56 (define @t82 () (tptp.is_the @t79 @t80)) % 0.38/0.56 (define @t83 () (not @t82)) % 0.38/0.56 (define @t84 () (tptp.object @t79)) % 0.38/0.56 (define @t85 () (not @t84)) % 0.38/0.56 (define @t86 () (@quantifiers_skolemize @t78 1)) % 0.38/0.56 (define @t87 () (tptp.property @t80)) % 0.38/0.56 (define @t88 () (not @t87)) % 0.38/0.56 (define @t89 () (or @t88 (not (tptp.object @t86)) (not (tptp.is_the @t86 @t80)) @t85 @t83 @t81)) % 0.38/0.56 (define @t90 () (@list true)) % 0.38/0.56 (define @t91 () (@list @t89)) % 0.38/0.56 (define @t92 () (or @t85 @t88 @t83 @t81)) % 0.38/0.56 (define @t93 () (not @t92)) % 0.38/0.56 (define @t94 () (forall @t40 @t37)) % 0.38/0.56 (assume @p1 (forall @t3 (=> @t2 (not (tptp.property @t1))))) % 0.38/0.56 (assume @p2 (forall @t7 (=> (tptp.exemplifies_property @t4 @t1) @t6))) % 0.38/0.56 (assume @p3 (forall @t7 (=> @t8 @t6))) % 0.38/0.56 (assume @p4 @t17) % 0.38/0.56 (assume @p5 @t33) % 0.38/0.56 (assume @p6 true) % 0.38/0.56 (step @p7 :rule aci_norm :args ((= (or @t36 @t35 @t36 @t34 false @t10) @t37))) % 0.38/0.56 (step @p8 :rule refl :args (@t10)) % 0.38/0.56 (step @p9 :rule evaluate :args ((not true))) % 0.38/0.56 (step @p10 :rule eq-refl :args (@t9)) % 0.38/0.56 (step @p11 :rule cong :premises (@p10) :args (@t38)) % 0.38/0.56 (step @p12 :rule trans :premises (@p11 @p9)) % 0.38/0.56 (step @p13 :rule refl :args (@t34)) % 0.38/0.56 (step @p14 :rule refl :args (@t36)) % 0.38/0.56 (step @p15 :rule refl :args (@t35)) % 0.38/0.56 (step @p16 :rule nary_cong :premises (@p14 @p15 @p14 @p13 @p12 @p8) :args (@t39)) % 0.38/0.56 (step @p17 :rule trans :premises (@p16 @p7)) % 0.38/0.56 (step @p18 :rule cong :premises (@p17) :args ((forall @t40 @t39))) % 0.38/0.56 (step @p19 :rule quant-var-elim-eq :args ((= (forall @t3 @t44) @t39))) % 0.38/0.56 (step @p20 :rule aci_norm :args ((= @t45 @t44))) % 0.38/0.56 (step @p21 :rule cong :premises (@p20) :args (@t46)) % 0.38/0.56 (step @p22 :rule trans :premises (@p21 @p19)) % 0.38/0.56 (step @p23 :rule cong :premises (@p22) :args (@t47)) % 0.38/0.56 (step @p24 :rule quant-merge-prenex :args ((= @t47 @t48))) % 0.38/0.56 (step @p25 :rule symm :premises (@p24)) % 0.38/0.56 (step @p26 :rule quant_var_reordering :args ((= (forall @t16 @t45) @t48))) % 0.38/0.56 (step @p27 :rule trans :premises (@p26 @p25 @p23)) % 0.38/0.56 (step @p28 :rule trans :premises (@p27 @p18)) % 0.38/0.56 (step @p29 :rule aci_norm :args ((= (or @t50 @t49) @t45))) % 0.38/0.56 (step @p30 :rule aci_norm :args ((= (or (or @t42 @t41) @t10) @t49))) % 0.38/0.56 (step @p31 :rule refl :args (@t10)) % 0.38/0.56 (step @p32 :rule bool-and-de-morgan :args (@t8 @t11 true)) % 0.38/0.56 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t12) @t10))) % 0.38/0.56 (step @p34 :rule trans :premises (@p33 @p30)) % 0.38/0.56 (step @p35 :rule bool-impl-elim :args (@t12 @t10)) % 0.38/0.56 (step @p36 :rule trans :premises (@p35 @p34)) % 0.38/0.56 (step @p37 :rule aci_norm :args ((= (or @t43 (or @t35 @t36)) @t50))) % 0.38/0.56 (step @p38 :rule bool-and-de-morgan :args (@t5 @t14 true)) % 0.38/0.56 (step @p39 :rule refl :args (@t43)) % 0.38/0.56 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t43 (not (and @t5 @t14))))) % 0.38/0.56 (step @p41 :rule bool-and-de-morgan :args (@t2 @t5 (and @t14))) % 0.38/0.56 (step @p42 :rule trans :premises (@p41 @p40)) % 0.38/0.56 (step @p43 :rule trans :premises (@p42 @p37)) % 0.38/0.56 (step @p44 :rule nary_cong :premises (@p43 @p36) :args ((or (not @t15) @t13))) % 0.38/0.56 (step @p45 :rule trans :premises (@p44 @p29)) % 0.38/0.56 (step @p46 :rule bool-impl-elim :args (@t15 @t13)) % 0.38/0.56 (step @p47 :rule trans :premises (@p46 @p45)) % 0.38/0.56 (step @p48 :rule cong :premises (@p47) :args (@t17)) % 0.38/0.56 (step @p49 :rule trans :premises (@p48 @p28)) % 0.38/0.56 (step @p50 :rule eq_resolve :premises (@p4 @p49)) % 0.38/0.56 (step @p51 :rule aci_norm :args ((= @t61 @t58))) % 0.38/0.56 (step @p52 :rule cong :premises (@p51) :args (@t63)) % 0.38/0.56 (step @p53 :rule quant-merge-prenex :args ((= (forall @t31 @t64) @t63))) % 0.38/0.56 (step @p54 :rule alpha_equiv :args (@t65 (@list @t51) (@list @t18))) % 0.38/0.56 (step @p55 :rule alpha_equiv :args (@t66 (@list @t55) (@list @t9))) % 0.38/0.56 (step @p56 :rule refl :args (@t35)) % 0.38/0.56 (step @p57 :rule nary_cong :premises (@p56 @p55 @p54) :args (@t67)) % 0.38/0.56 (step @p58 :rule quant-miniscope-or :args ((= @t64 @t67))) % 0.38/0.56 (step @p59 :rule trans :premises (@p58 @p57)) % 0.38/0.56 (step @p60 :rule symm :premises (@p59)) % 0.38/0.56 (step @p61 :rule cong :premises (@p60) :args ((forall @t31 @t73))) % 0.38/0.56 (step @p62 :rule trans :premises (@p61 @p53)) % 0.38/0.56 (step @p63 :rule trans :premises (@p62 @p52)) % 0.38/0.56 (step @p64 :rule aci_norm :args ((= (or @t35 (or @t72 @t71)) @t73))) % 0.38/0.56 (step @p65 :rule refl :args (@t71)) % 0.38/0.56 (step @p66 :rule bool-double-not-elim :args (@t72)) % 0.38/0.56 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or (not @t74) @t71))) % 0.38/0.56 (step @p68 :rule bool-impl-elim :args (@t74 @t71)) % 0.38/0.56 (step @p69 :rule trans :premises (@p68 @p67)) % 0.38/0.56 (step @p70 :rule nary_cong :premises (@p56 @p69) :args ((or @t35 @t75))) % 0.38/0.56 (step @p71 :rule trans :premises (@p70 @p64)) % 0.38/0.56 (step @p72 :rule bool-impl-elim :args (@t5 @t75)) % 0.38/0.56 (step @p73 :rule trans :premises (@p72 @p71)) % 0.38/0.56 (step @p74 :rule cong :premises (@p73) :args ((forall @t31 (=> @t5 @t75)))) % 0.38/0.56 (step @p75 :rule trans :premises (@p74 @p63)) % 0.38/0.56 (step @p76 :rule aci_norm :args ((= (or @t69 (or @t68 @t19)) @t70))) % 0.38/0.56 (step @p77 :rule bool-impl-elim :args (@t20 @t19)) % 0.38/0.56 (step @p78 :rule refl :args (@t69)) % 0.38/0.56 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t69 @t21))) % 0.38/0.56 (step @p80 :rule trans :premises (@p79 @p76)) % 0.38/0.56 (step @p81 :rule bool-impl-elim :args (@t22 @t21)) % 0.38/0.56 (step @p82 :rule trans :premises (@p81 @p80)) % 0.38/0.56 (step @p83 :rule cong :premises (@p82) :args (@t24)) % 0.38/0.56 (step @p84 :rule bool-and-de-morgan :args (@t14 @t25 true)) % 0.38/0.56 (step @p85 :rule cong :premises (@p84) :args (@t76)) % 0.38/0.56 (step @p86 :rule cong :premises (@p85) :args (@t77)) % 0.38/0.56 (step @p87 :rule exists-elim :args ((= @t28 @t77))) % 0.38/0.56 (step @p88 :rule trans :premises (@p87 @p86)) % 0.38/0.56 (step @p89 :rule cong :premises (@p88 @p83) :args (@t29)) % 0.38/0.56 (step @p90 :rule refl :args (@t5)) % 0.38/0.56 (step @p91 :rule cong :premises (@p90 @p89) :args (@t30)) % 0.38/0.56 (step @p92 :rule cong :premises (@p91) :args (@t32)) % 0.38/0.56 (step @p93 :rule trans :premises (@p92 @p75)) % 0.38/0.56 (step @p94 :rule cong :premises (@p93) :args (@t33)) % 0.38/0.56 (step @p95 :rule eq_resolve :premises (@p5 @p94)) % 0.38/0.56 (step @p96 :rule skolemize :premises (@p95)) % 0.38/0.56 (step @p97 :rule cnf_or_neg :args (@t89 5)) % 0.38/0.56 (step @p98 :rule chain_m_resolution :premises (@p97 @p96) :args ((not @t81) @t90 @t91)) % 0.38/0.56 (step @p99 :rule bool-double-not-elim :args (@t82)) % 0.38/0.56 (step @p100 :rule refl :args (@t89)) % 0.38/0.56 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t89 (not @t83)))) % 0.38/0.56 (step @p102 :rule cnf_or_neg :args (@t89 4)) % 0.38/0.56 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.38/0.56 (step @p104 :rule reordering :premises (@p103) :args ((or @t82 @t89))) % 0.38/0.56 (step @p105 :rule chain_m_resolution :premises (@p104 @p96) :args (@t82 @t90 @t91)) % 0.38/0.56 (step @p106 :rule bool-double-not-elim :args (@t84)) % 0.38/0.56 (step @p107 :rule nary_cong :premises (@p100 @p106) :args ((or @t89 (not @t85)))) % 0.38/0.56 (step @p108 :rule cnf_or_neg :args (@t89 3)) % 0.38/0.56 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 0.38/0.56 (step @p110 :rule reordering :premises (@p109) :args ((or @t84 @t89))) % 0.38/0.56 (step @p111 :rule chain_m_resolution :premises (@p110 @p96) :args (@t84 @t90 @t91)) % 0.38/0.56 (step @p112 :rule bool-double-not-elim :args (@t87)) % 0.38/0.56 (step @p113 :rule nary_cong :premises (@p100 @p112) :args ((or @t89 (not @t88)))) % 0.38/0.56 (step @p114 :rule cnf_or_neg :args (@t89 0)) % 0.38/0.56 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.38/0.56 (step @p116 :rule reordering :premises (@p115) :args ((or @t87 @t89))) % 0.38/0.56 (step @p117 :rule chain_m_resolution :premises (@p116 @p96) :args (@t87 @t90 @t91)) % 0.38/0.56 (step @p118 :rule cnf_or_pos :args (@t92)) % 0.38/0.56 (step @p119 :rule reordering :premises (@p118) :args ((or @t88 @t85 @t83 @t81 @t93))) % 0.38/0.56 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p111 @p105 @p98) :args (@t93 (@list false false false true) (@list @t87 @t84 @t82 @t81))) % 0.38/0.56 (assume-push @p127 @t94) % 0.38/0.56 (step @p122 :rule instantiate :premises (@p50) :args ((@list @t80 @t79))) % 0.38/0.56 (step-pop @p128 :rule scope :premises (@p122)) % 0.38/0.56 (step @p123 :rule process_scope :premises (@p128) :args (@t92)) % 0.38/0.56 (step @p125 :rule implies_elim :premises (@p123)) % 0.38/0.56 (step @p126 false :rule chain_m_resolution :premises (@p125 @p120 @p50) :args (false (@list true false) (@list @t92 @t94))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------