%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PHI014+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 : 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 08:43:13 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PHI014+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 % 0.16/0.35 % Computer : n001.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 12:53:35 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.existence $$unsorted) % 0.37/0.57 (declare-const tptp.exemplifies_relation (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.conceivable $$unsorted) % 0.37/0.57 (declare-const tptp.god $$unsorted) % 0.37/0.57 (declare-const tptp.property (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.none_greater $$unsorted) % 0.37/0.57 (declare-const tptp.object (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.greater_than $$unsorted) % 0.37/0.57 (declare-const tptp.is_the (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.exemplifies_property (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "Z" $$unsorted)) % 0.37/0.57 (define @t2 () (@var "F" $$unsorted)) % 0.37/0.57 (define @t3 () (tptp.exemplifies_property @t2 @t1)) % 0.37/0.57 (define @t4 () (tptp.is_the @t1 @t2)) % 0.37/0.57 (define @t5 () (=> @t4 @t3)) % 0.37/0.57 (define @t6 () (tptp.object @t1)) % 0.37/0.57 (define @t7 () (@list @t1)) % 0.37/0.57 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.37/0.57 (define @t9 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t10 () (tptp.is_the @t9 @t2)) % 0.37/0.57 (define @t11 () (tptp.object @t9)) % 0.37/0.57 (define @t12 () (and @t11 @t10)) % 0.37/0.57 (define @t13 () (@list @t9)) % 0.37/0.57 (define @t14 () (exists @t13 @t12)) % 0.37/0.57 (define @t15 () (=> @t14 @t8)) % 0.37/0.57 (define @t16 () (tptp.property @t2)) % 0.37/0.57 (define @t17 () (=> @t16 @t15)) % 0.37/0.57 (define @t18 () (@list @t2)) % 0.37/0.57 (define @t19 () (forall @t18 @t17)) % 0.37/0.57 (define @t20 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t21 () (tptp.object @t20)) % 0.37/0.57 (define @t22 () (and @t16 @t21)) % 0.37/0.57 (define @t23 () (tptp.is_the @t20 @t2)) % 0.37/0.57 (define @t24 () (forall (@list @t20 @t2) (=> @t23 @t22))) % 0.37/0.57 (define @t25 () (tptp.exemplifies_property tptp.conceivable @t9)) % 0.37/0.57 (define @t26 () (tptp.exemplifies_relation tptp.greater_than @t9 @t20)) % 0.37/0.57 (define @t27 () (and @t11 @t26 @t25)) % 0.37/0.57 (define @t28 () (exists @t13 @t27)) % 0.37/0.57 (define @t29 () (not @t28)) % 0.37/0.57 (define @t30 () (tptp.exemplifies_property tptp.conceivable @t20)) % 0.37/0.57 (define @t31 () (and @t30 @t29)) % 0.37/0.57 (define @t32 () (tptp.exemplifies_property tptp.none_greater @t20)) % 0.37/0.57 (define @t33 () (= @t32 @t31)) % 0.37/0.57 (define @t34 () (=> @t21 @t33)) % 0.37/0.57 (define @t35 () (@list @t20)) % 0.37/0.57 (define @t36 () (forall @t35 @t34)) % 0.37/0.57 (define @t37 () (tptp.exemplifies_property tptp.existence @t20)) % 0.37/0.57 (define @t38 () (not @t37)) % 0.37/0.57 (define @t39 () (tptp.is_the @t20 tptp.none_greater)) % 0.37/0.57 (define @t40 () (and @t39 @t38)) % 0.37/0.57 (define @t41 () (=> @t40 @t28)) % 0.37/0.57 (define @t42 () (=> @t21 @t41)) % 0.37/0.57 (define @t43 () (forall @t35 @t42)) % 0.37/0.57 (define @t44 () (tptp.is_the tptp.god tptp.none_greater)) % 0.37/0.57 (define @t45 () (tptp.exemplifies_property tptp.existence tptp.god)) % 0.37/0.57 (define @t46 () (not @t25)) % 0.37/0.57 (define @t47 () (not @t26)) % 0.37/0.57 (define @t48 () (not @t11)) % 0.37/0.57 (define @t49 () (or @t48 @t47 @t46)) % 0.37/0.57 (define @t50 () (forall @t13 @t49)) % 0.37/0.57 (define @t51 () (not @t50)) % 0.37/0.57 (define @t52 () (not @t39)) % 0.37/0.57 (define @t53 () (not @t21)) % 0.37/0.57 (define @t54 () (or @t52 @t37 @t51)) % 0.37/0.57 (define @t55 () (=> @t40 @t51)) % 0.37/0.57 (define @t56 () (forall @t13 (not @t27))) % 0.37/0.57 (define @t57 () (not @t56)) % 0.37/0.57 (define @t58 () (@list tptp.god)) % 0.37/0.57 (define @t59 () (tptp.object tptp.god)) % 0.37/0.57 (define @t60 () (tptp.property tptp.none_greater)) % 0.37/0.57 (define @t61 () (and @t60 @t59)) % 0.37/0.57 (define @t62 () (not @t44)) % 0.37/0.57 (define @t63 () (or @t62 @t61)) % 0.37/0.57 (define @t64 () (@list false false)) % 0.37/0.57 (define @t65 () (not @t61)) % 0.37/0.57 (define @t66 () (@list false)) % 0.37/0.57 (define @t67 () (@list @t61)) % 0.37/0.57 (define @t68 () (forall @t13 (or @t48 (not (tptp.exemplifies_relation tptp.greater_than @t9 tptp.god)) @t46))) % 0.37/0.57 (define @t69 () (not @t68)) % 0.37/0.57 (define @t70 () (not @t59)) % 0.37/0.57 (define @t71 () (or @t70 @t62 @t45 @t69)) % 0.37/0.57 (define @t72 () (and (tptp.exemplifies_property tptp.conceivable tptp.god) @t68)) % 0.37/0.57 (define @t73 () (not @t72)) % 0.37/0.57 (define @t74 () (@var "BOUND_VARIABLE_7496" $$unsorted)) % 0.37/0.57 (define @t75 () (tptp.exemplifies_property @t2 @t74)) % 0.37/0.57 (define @t76 () (not (tptp.is_the @t74 @t2))) % 0.37/0.57 (define @t77 () (not (tptp.object @t74))) % 0.37/0.57 (define @t78 () (@var "BOUND_VARIABLE_7489" $$unsorted)) % 0.37/0.57 (define @t79 () (not (tptp.is_the @t78 @t2))) % 0.37/0.57 (define @t80 () (not (tptp.object @t78))) % 0.37/0.57 (define @t81 () (not @t16)) % 0.37/0.57 (define @t82 () (or @t77 @t76 @t75)) % 0.37/0.57 (define @t83 () (or @t80 @t79)) % 0.37/0.57 (define @t84 () (or @t81 @t83 @t82)) % 0.37/0.57 (define @t85 () (forall (@list @t2 @t78 @t74) @t84)) % 0.37/0.57 (define @t86 () (forall (@list @t78 @t74) @t84)) % 0.37/0.57 (define @t87 () (forall (@list @t74) @t82)) % 0.37/0.57 (define @t88 () (forall (@list @t78) @t83)) % 0.37/0.57 (define @t89 () (or @t81 @t88 @t87)) % 0.37/0.57 (define @t90 () (not @t4)) % 0.37/0.57 (define @t91 () (not @t6)) % 0.37/0.57 (define @t92 () (or @t91 @t90 @t3)) % 0.37/0.57 (define @t93 () (forall @t7 @t92)) % 0.37/0.57 (define @t94 () (forall @t13 (or @t48 (not @t10)))) % 0.37/0.57 (define @t95 () (or @t81 @t94 @t93)) % 0.37/0.57 (define @t96 () (not @t94)) % 0.37/0.57 (define @t97 () (=> @t96 @t93)) % 0.37/0.57 (define @t98 () (forall @t13 (not @t12))) % 0.37/0.57 (define @t99 () (not @t98)) % 0.37/0.57 (define @t100 () (tptp.exemplifies_property tptp.none_greater tptp.god)) % 0.37/0.57 (define @t101 () (not @t60)) % 0.37/0.57 (define @t102 () (or @t101 @t70 @t62 @t70 @t62 @t100)) % 0.37/0.57 (define @t103 () (= @t32 (and @t30 @t50))) % 0.37/0.57 (define @t104 () (= @t100 @t72)) % 0.37/0.57 (define @t105 () (or @t70 @t104)) % 0.37/0.57 (assume @p1 @t19) % 0.37/0.57 (assume @p2 @t24) % 0.37/0.57 (assume @p3 @t36) % 0.37/0.57 (assume @p4 @t43) % 0.37/0.57 (assume @p5 @t44) % 0.37/0.57 (assume @p6 (not @t45)) % 0.37/0.57 (assume @p7 true) % 0.37/0.57 (step @p8 :rule aci_norm :args ((= (or @t53 @t54) (or @t53 @t52 @t37 @t51)))) % 0.37/0.57 (step @p9 :rule aci_norm :args ((= (or (or @t52 @t37) @t51) @t54))) % 0.37/0.57 (step @p10 :rule refl :args (@t51)) % 0.37/0.57 (step @p11 :rule bool-double-not-elim :args (@t37)) % 0.37/0.57 (step @p12 :rule refl :args (@t52)) % 0.37/0.57 (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((or @t52 (not @t38)))) % 0.37/0.57 (step @p14 :rule bool-and-de-morgan :args (@t39 @t38 true)) % 0.37/0.57 (step @p15 :rule trans :premises (@p14 @p13)) % 0.37/0.57 (step @p16 :rule nary_cong :premises (@p15 @p10) :args ((or (not @t40) @t51))) % 0.37/0.57 (step @p17 :rule trans :premises (@p16 @p9)) % 0.37/0.57 (step @p18 :rule bool-impl-elim :args (@t40 @t51)) % 0.37/0.57 (step @p19 :rule trans :premises (@p18 @p17)) % 0.37/0.57 (step @p20 :rule refl :args (@t53)) % 0.37/0.57 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or @t53 @t55))) % 0.37/0.57 (step @p22 :rule trans :premises (@p21 @p8)) % 0.37/0.57 (step @p23 :rule bool-impl-elim :args (@t21 @t55)) % 0.37/0.57 (step @p24 :rule trans :premises (@p23 @p22)) % 0.37/0.57 (step @p25 :rule cong :premises (@p24) :args ((forall @t35 (=> @t21 @t55)))) % 0.37/0.57 (step @p26 :rule aci_norm :args ((= (or @t48 (or @t47 @t46)) @t49))) % 0.37/0.57 (step @p27 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.37/0.57 (step @p28 :rule refl :args (@t48)) % 0.37/0.57 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t48 (not (and @t26 @t25))))) % 0.37/0.57 (step @p30 :rule bool-and-de-morgan :args (@t11 @t26 (and @t25))) % 0.37/0.57 (step @p31 :rule trans :premises (@p30 @p29)) % 0.37/0.57 (step @p32 :rule trans :premises (@p31 @p26)) % 0.37/0.57 (step @p33 :rule cong :premises (@p32) :args (@t56)) % 0.37/0.57 (step @p34 :rule cong :premises (@p33) :args (@t57)) % 0.37/0.57 (step @p35 :rule exists-elim :args ((= @t28 @t57))) % 0.37/0.57 (step @p36 :rule trans :premises (@p35 @p34)) % 0.37/0.57 (step @p37 :rule refl :args (@t40)) % 0.37/0.57 (step @p38 :rule cong :premises (@p37 @p36) :args (@t41)) % 0.37/0.57 (step @p39 :rule refl :args (@t21)) % 0.37/0.57 (step @p40 :rule cong :premises (@p39 @p38) :args (@t42)) % 0.37/0.57 (step @p41 :rule cong :premises (@p40) :args (@t43)) % 0.37/0.57 (step @p42 :rule trans :premises (@p41 @p25)) % 0.37/0.57 (step @p43 :rule eq_resolve :premises (@p4 @p42)) % 0.37/0.57 (step @p44 :rule instantiate :premises (@p43) :args (@t58)) % 0.37/0.57 (step @p45 :rule bool-impl-elim :args (@t23 @t22)) % 0.37/0.57 (step @p46 :rule cong :premises (@p45) :args (@t24)) % 0.37/0.57 (step @p47 :rule eq_resolve :premises (@p2 @p46)) % 0.37/0.57 (step @p48 :rule instantiate :premises (@p47) :args ((@list tptp.god tptp.none_greater))) % 0.37/0.57 (step @p49 :rule cnf_or_pos :args (@t63)) % 0.37/0.57 (step @p50 :rule reordering :premises (@p49) :args ((or @t62 @t61 (not @t63)))) % 0.37/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p5 @p48) :args (@t61 @t64 (@list @t44 @t63))) % 0.37/0.57 (step @p52 :rule cnf_and_pos :args (@t61 1)) % 0.37/0.57 (step @p53 :rule reordering :premises (@p52) :args ((or @t59 @t65))) % 0.37/0.57 (step @p54 :rule chain_m_resolution :premises (@p53 @p51) :args (@t59 @t66 @t67)) % 0.37/0.57 (step @p55 :rule cnf_or_pos :args (@t71)) % 0.37/0.57 (step @p56 :rule reordering :premises (@p55) :args ((or @t45 @t62 @t70 @t69 (not @t71)))) % 0.37/0.57 (step @p57 :rule chain_m_resolution :premises (@p56 @p6 @p5 @p54 @p44) :args (@t69 (@list true false false false) (@list @t45 @t44 @t59 @t71))) % 0.37/0.57 (step @p58 :rule cnf_and_pos :args (@t72 1)) % 0.37/0.57 (step @p59 :rule reordering :premises (@p58) :args ((or @t68 @t73))) % 0.37/0.57 (step @p60 :rule chain_m_resolution :premises (@p59 @p57) :args (@t73 (@list true) (@list @t68))) % 0.37/0.57 (step @p61 :rule aci_norm :args ((= @t84 (or @t81 @t80 @t79 @t77 @t76 @t75)))) % 0.37/0.57 (step @p62 :rule cong :premises (@p61) :args (@t85)) % 0.37/0.57 (step @p63 :rule quant-merge-prenex :args ((= (forall @t18 @t86) @t85))) % 0.37/0.57 (step @p64 :rule alpha_equiv :args (@t87 (@list @t74) (@list @t1))) % 0.37/0.57 (step @p65 :rule alpha_equiv :args (@t88 (@list @t78) (@list @t9))) % 0.37/0.57 (step @p66 :rule refl :args (@t81)) % 0.37/0.57 (step @p67 :rule nary_cong :premises (@p66 @p65 @p64) :args (@t89)) % 0.37/0.57 (step @p68 :rule quant-miniscope-or :args ((= @t86 @t89))) % 0.37/0.57 (step @p69 :rule trans :premises (@p68 @p67)) % 0.37/0.57 (step @p70 :rule symm :premises (@p69)) % 0.37/0.57 (step @p71 :rule cong :premises (@p70) :args ((forall @t18 @t95))) % 0.37/0.57 (step @p72 :rule trans :premises (@p71 @p63)) % 0.37/0.57 (step @p73 :rule trans :premises (@p72 @p62)) % 0.37/0.57 (step @p74 :rule aci_norm :args ((= (or @t81 (or @t94 @t93)) @t95))) % 0.37/0.57 (step @p75 :rule refl :args (@t93)) % 0.37/0.57 (step @p76 :rule bool-double-not-elim :args (@t94)) % 0.37/0.57 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or (not @t96) @t93))) % 0.37/0.57 (step @p78 :rule bool-impl-elim :args (@t96 @t93)) % 0.37/0.57 (step @p79 :rule trans :premises (@p78 @p77)) % 0.37/0.57 (step @p80 :rule nary_cong :premises (@p66 @p79) :args ((or @t81 @t97))) % 0.37/0.57 (step @p81 :rule trans :premises (@p80 @p74)) % 0.37/0.57 (step @p82 :rule bool-impl-elim :args (@t16 @t97)) % 0.37/0.57 (step @p83 :rule trans :premises (@p82 @p81)) % 0.37/0.57 (step @p84 :rule cong :premises (@p83) :args ((forall @t18 (=> @t16 @t97)))) % 0.37/0.57 (step @p85 :rule trans :premises (@p84 @p73)) % 0.37/0.57 (step @p86 :rule aci_norm :args ((= (or @t91 (or @t90 @t3)) @t92))) % 0.37/0.57 (step @p87 :rule bool-impl-elim :args (@t4 @t3)) % 0.37/0.57 (step @p88 :rule refl :args (@t91)) % 0.37/0.57 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t91 @t5))) % 0.37/0.57 (step @p90 :rule trans :premises (@p89 @p86)) % 0.37/0.57 (step @p91 :rule bool-impl-elim :args (@t6 @t5)) % 0.37/0.57 (step @p92 :rule trans :premises (@p91 @p90)) % 0.37/0.57 (step @p93 :rule cong :premises (@p92) :args (@t8)) % 0.37/0.57 (step @p94 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.37/0.57 (step @p95 :rule cong :premises (@p94) :args (@t98)) % 0.37/0.57 (step @p96 :rule cong :premises (@p95) :args (@t99)) % 0.37/0.57 (step @p97 :rule exists-elim :args ((= @t14 @t99))) % 0.37/0.57 (step @p98 :rule trans :premises (@p97 @p96)) % 0.37/0.57 (step @p99 :rule cong :premises (@p98 @p93) :args (@t15)) % 0.37/0.57 (step @p100 :rule refl :args (@t16)) % 0.37/0.57 (step @p101 :rule cong :premises (@p100 @p99) :args (@t17)) % 0.37/0.57 (step @p102 :rule cong :premises (@p101) :args (@t19)) % 0.37/0.57 (step @p103 :rule trans :premises (@p102 @p85)) % 0.37/0.57 (step @p104 :rule eq_resolve :premises (@p1 @p103)) % 0.37/0.57 (step @p105 :rule instantiate :premises (@p104) :args ((@list tptp.none_greater tptp.god tptp.god))) % 0.37/0.57 (step @p106 :rule cnf_and_pos :args (@t61 0)) % 0.37/0.57 (step @p107 :rule reordering :premises (@p106) :args ((or @t60 @t65))) % 0.37/0.57 (step @p108 :rule chain_m_resolution :premises (@p107 @p51) :args (@t60 @t66 @t67)) % 0.37/0.57 (step @p109 :rule cnf_or_pos :args (@t102)) % 0.37/0.57 (step @p110 :rule factoring :premises (@p109)) % 0.37/0.57 (step @p111 :rule reordering :premises (@p110) :args ((or @t62 @t70 @t101 @t100 (not @t102)))) % 0.37/0.57 (step @p112 :rule chain_m_resolution :premises (@p111 @p5 @p54 @p108 @p105) :args (@t100 (@list false false false false) (@list @t44 @t59 @t60 @t102))) % 0.37/0.57 (step @p113 :rule bool-impl-elim :args (@t21 @t103)) % 0.37/0.57 (step @p114 :rule cong :premises (@p113) :args ((forall @t35 (=> @t21 @t103)))) % 0.37/0.57 (step @p115 :rule bool-double-not-elim :args (@t50)) % 0.37/0.57 (step @p116 :rule cong :premises (@p36) :args (@t29)) % 0.37/0.57 (step @p117 :rule trans :premises (@p116 @p115)) % 0.37/0.57 (step @p118 :rule refl :args (@t30)) % 0.37/0.57 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t31)) % 0.37/0.57 (step @p120 :rule refl :args (@t32)) % 0.37/0.57 (step @p121 :rule cong :premises (@p120 @p119) :args (@t33)) % 0.37/0.57 (step @p122 :rule cong :premises (@p39 @p121) :args (@t34)) % 0.37/0.57 (step @p123 :rule cong :premises (@p122) :args (@t36)) % 0.37/0.57 (step @p124 :rule trans :premises (@p123 @p114)) % 0.37/0.57 (step @p125 :rule eq_resolve :premises (@p3 @p124)) % 0.37/0.57 (step @p126 :rule instantiate :premises (@p125) :args (@t58)) % 0.37/0.57 (step @p127 :rule cnf_or_pos :args (@t105)) % 0.37/0.57 (step @p128 :rule reordering :premises (@p127) :args ((or @t70 @t104 (not @t105)))) % 0.37/0.57 (step @p129 :rule chain_m_resolution :premises (@p128 @p54 @p126) :args (@t104 @t64 (@list @t59 @t105))) % 0.37/0.57 (step @p130 :rule cnf_equiv_pos1 :args (@t104)) % 0.37/0.57 (step @p131 :rule reordering :premises (@p130) :args ((or @t72 (not @t100) (not @t104)))) % 0.37/0.57 (step @p132 false :rule chain_m_resolution :premises (@p131 @p129 @p112 @p60) :args (false (@list false false true) (@list @t104 @t100 @t72))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------