%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MSC017+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:36:06 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 : MSC017+1 : TPTP v9.2.1. Released v4.0.0. % 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 : n008.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 09:46:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----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 $$unsorted 0) % 0.38/0.56 (declare-const tptp.bad (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.dci $$unsorted) % 0.38/0.56 (declare-const tptp.outcome (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.depth_limit $$unsorted) % 0.38/0.56 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.dive (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.nitrogen (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.padi (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.time_limit $$unsorted) % 0.38/0.56 (declare-const tptp.depth (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.nitrogen_limit $$unsorted) % 0.38/0.56 (declare-const tptp.time (-> $$unsorted $$unsorted)) % 0.38/0.56 (define @t1 () (@var "D" $$unsorted)) % 0.38/0.56 (define @t2 () (tptp.time @t1)) % 0.38/0.56 (define @t3 () (tptp.depth @t1)) % 0.38/0.56 (define @t4 () (tptp.nitrogen @t1)) % 0.38/0.56 (define @t5 () (tptp.dive @t1)) % 0.38/0.56 (define @t6 () (@list @t1)) % 0.38/0.56 (define @t7 () (tptp.greater @t4 tptp.nitrogen_limit)) % 0.38/0.56 (define @t8 () (tptp.greater @t2 tptp.time_limit)) % 0.38/0.56 (define @t9 () (tptp.greater @t3 tptp.depth_limit)) % 0.38/0.56 (define @t10 () (= (or @t9 @t8) @t7)) % 0.38/0.56 (define @t11 () (forall @t6 (=> @t5 @t10))) % 0.38/0.56 (define @t12 () (= @t7 (tptp.outcome @t1 tptp.dci))) % 0.38/0.56 (define @t13 () (forall @t6 (=> @t5 @t12))) % 0.38/0.56 (define @t14 () (@var "O" $$unsorted)) % 0.38/0.56 (define @t15 () (tptp.bad @t14)) % 0.38/0.56 (define @t16 () (tptp.outcome @t1 @t14)) % 0.38/0.56 (define @t17 () (and @t16 @t15)) % 0.38/0.56 (define @t18 () (=> @t17 (= @t14 tptp.dci))) % 0.38/0.56 (define @t19 () (@list @t14)) % 0.38/0.56 (define @t20 () (forall @t19 @t18)) % 0.38/0.56 (define @t21 () (=> @t5 @t20)) % 0.38/0.56 (define @t22 () (forall @t6 @t21)) % 0.38/0.56 (define @t23 () (and (not @t9) (not @t8))) % 0.38/0.56 (define @t24 () (forall @t6 (=> @t5 @t23))) % 0.38/0.56 (define @t25 () (not @t15)) % 0.38/0.56 (define @t26 () (forall @t19 (=> @t16 @t25))) % 0.38/0.56 (define @t27 () (=> @t5 @t26)) % 0.38/0.56 (define @t28 () (forall @t6 @t27)) % 0.38/0.56 (define @t29 () (not @t28)) % 0.38/0.56 (define @t30 () (@var "BOUND_VARIABLE_7510" $$unsorted)) % 0.38/0.56 (define @t31 () (not (tptp.bad @t30))) % 0.38/0.56 (define @t32 () (not (tptp.outcome @t1 @t30))) % 0.38/0.56 (define @t33 () (not @t5)) % 0.38/0.56 (define @t34 () (or @t33 @t32 @t31)) % 0.38/0.56 (define @t35 () (or @t32 @t31)) % 0.38/0.56 (define @t36 () (or @t33 @t35)) % 0.38/0.56 (define @t37 () (@list @t1 @t30)) % 0.38/0.56 (define @t38 () (forall @t37 @t36)) % 0.38/0.56 (define @t39 () (@list @t30)) % 0.38/0.56 (define @t40 () (forall @t39 @t36)) % 0.38/0.56 (define @t41 () (forall @t39 @t35)) % 0.38/0.56 (define @t42 () (@list @t14)) % 0.38/0.56 (define @t43 () (or @t33 @t41)) % 0.38/0.56 (define @t44 () (not @t16)) % 0.38/0.56 (define @t45 () (or @t44 @t25)) % 0.38/0.56 (define @t46 () (forall @t19 @t45)) % 0.38/0.56 (define @t47 () (forall @t37 @t34)) % 0.38/0.56 (define @t48 () (@quantifiers_skolemize @t47 1)) % 0.38/0.56 (define @t49 () (@quantifiers_skolemize @t47 0)) % 0.38/0.56 (define @t50 () (tptp.outcome @t49 @t48)) % 0.38/0.56 (define @t51 () (tptp.bad @t48)) % 0.38/0.56 (define @t52 () (not @t51)) % 0.38/0.56 (define @t53 () (not @t50)) % 0.38/0.56 (define @t54 () (tptp.dive @t49)) % 0.38/0.56 (define @t55 () (not @t54)) % 0.38/0.56 (define @t56 () (or @t55 @t53 @t52)) % 0.38/0.56 (define @t57 () (@list true)) % 0.38/0.56 (define @t58 () (@list @t56)) % 0.38/0.56 (define @t59 () (@var "BOUND_VARIABLE_7488" $$unsorted)) % 0.38/0.56 (define @t60 () (= tptp.dci @t59)) % 0.38/0.56 (define @t61 () (not (tptp.bad @t59))) % 0.38/0.56 (define @t62 () (not (tptp.outcome @t1 @t59))) % 0.38/0.56 (define @t63 () (or @t62 @t61 @t60)) % 0.38/0.56 (define @t64 () (or @t33 @t63)) % 0.38/0.56 (define @t65 () (forall (@list @t1 @t59) @t64)) % 0.38/0.56 (define @t66 () (@list @t59)) % 0.38/0.56 (define @t67 () (forall @t66 @t64)) % 0.38/0.56 (define @t68 () (forall @t66 @t63)) % 0.38/0.56 (define @t69 () (or @t33 @t68)) % 0.38/0.56 (define @t70 () (= tptp.dci @t14)) % 0.38/0.56 (define @t71 () (or @t44 @t25 @t70)) % 0.38/0.56 (define @t72 () (forall @t19 @t71)) % 0.38/0.56 (define @t73 () (= tptp.dci @t48)) % 0.38/0.56 (define @t74 () (or @t55 @t53 @t52 @t73)) % 0.38/0.56 (define @t75 () (@list @t49)) % 0.38/0.56 (define @t76 () (tptp.outcome @t49 tptp.dci)) % 0.38/0.56 (define @t77 () (tptp.greater (tptp.nitrogen @t49) tptp.nitrogen_limit)) % 0.38/0.56 (define @t78 () (= @t77 @t76)) % 0.38/0.56 (define @t79 () (or @t55 @t78)) % 0.38/0.56 (define @t80 () (@list false false)) % 0.38/0.56 (define @t81 () (tptp.greater (tptp.time @t49) tptp.time_limit)) % 0.38/0.56 (define @t82 () (tptp.greater (tptp.depth @t49) tptp.depth_limit)) % 0.38/0.56 (define @t83 () (or @t82 @t81)) % 0.38/0.56 (define @t84 () (= @t83 @t77)) % 0.38/0.56 (define @t85 () (or @t55 @t84)) % 0.38/0.56 (define @t86 () (not @t81)) % 0.38/0.56 (define @t87 () (not @t82)) % 0.38/0.56 (define @t88 () (and @t87 @t86)) % 0.38/0.56 (define @t89 () (or @t55 @t88)) % 0.38/0.56 (define @t90 () (not @t88)) % 0.38/0.56 (define @t91 () (@list false)) % 0.38/0.56 (define @t92 () (@list @t88)) % 0.38/0.56 (define @t93 () (not @t83)) % 0.38/0.56 (define @t94 () (not @t77)) % 0.38/0.56 (define @t95 () (@list true false)) % 0.38/0.56 (define @t96 () (not @t76)) % 0.38/0.56 (define @t97 () (and @t50 @t73)) % 0.38/0.56 (assume @p1 (forall @t6 (=> @t5 (= @t4 (tptp.padi @t3 @t2))))) % 0.38/0.56 (assume @p2 @t11) % 0.38/0.56 (assume @p3 @t13) % 0.38/0.56 (assume @p4 (tptp.bad tptp.dci)) % 0.38/0.56 (assume @p5 @t22) % 0.38/0.56 (assume @p6 @t24) % 0.38/0.56 (assume @p7 @t29) % 0.38/0.56 (assume @p8 true) % 0.38/0.56 (step @p9 :rule aci_norm :args ((= @t36 @t34))) % 0.38/0.56 (step @p10 :rule cong :premises (@p9) :args (@t38)) % 0.38/0.56 (step @p11 :rule quant-merge-prenex :args ((= (forall @t6 @t40) @t38))) % 0.38/0.56 (step @p12 :rule alpha_equiv :args (@t41 (@list @t30) @t42)) % 0.38/0.56 (step @p13 :rule refl :args (@t33)) % 0.38/0.56 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t43)) % 0.38/0.56 (step @p15 :rule quant-miniscope-or :args ((= @t40 @t43))) % 0.38/0.56 (step @p16 :rule trans :premises (@p15 @p14)) % 0.38/0.56 (step @p17 :rule symm :premises (@p16)) % 0.38/0.56 (step @p18 :rule cong :premises (@p17) :args ((forall @t6 (or @t33 @t46)))) % 0.38/0.56 (step @p19 :rule trans :premises (@p18 @p11)) % 0.38/0.56 (step @p20 :rule trans :premises (@p19 @p10)) % 0.38/0.56 (step @p21 :rule bool-impl-elim :args (@t5 @t46)) % 0.38/0.56 (step @p22 :rule cong :premises (@p21) :args ((forall @t6 (=> @t5 @t46)))) % 0.38/0.56 (step @p23 :rule trans :premises (@p22 @p20)) % 0.38/0.56 (step @p24 :rule bool-impl-elim :args (@t16 @t25)) % 0.38/0.56 (step @p25 :rule cong :premises (@p24) :args (@t26)) % 0.38/0.56 (step @p26 :rule refl :args (@t5)) % 0.38/0.56 (step @p27 :rule cong :premises (@p26 @p25) :args (@t27)) % 0.38/0.56 (step @p28 :rule cong :premises (@p27) :args (@t28)) % 0.38/0.56 (step @p29 :rule trans :premises (@p28 @p23)) % 0.38/0.56 (step @p30 :rule cong :premises (@p29) :args (@t29)) % 0.38/0.56 (step @p31 :rule eq_resolve :premises (@p7 @p30)) % 0.38/0.56 (step @p32 :rule skolemize :premises (@p31)) % 0.38/0.56 (step @p33 :rule bool-double-not-elim :args (@t50)) % 0.38/0.56 (step @p34 :rule refl :args (@t56)) % 0.38/0.56 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t56 (not @t53)))) % 0.38/0.56 (step @p36 :rule cnf_or_neg :args (@t56 1)) % 0.38/0.56 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.38/0.56 (step @p38 :rule reordering :premises (@p37) :args ((or @t50 @t56))) % 0.38/0.56 (step @p39 :rule chain_m_resolution :premises (@p38 @p32) :args (@t50 @t57 @t58)) % 0.38/0.56 (step @p40 :rule aci_norm :args ((= @t64 (or @t33 @t62 @t61 @t60)))) % 0.38/0.56 (step @p41 :rule cong :premises (@p40) :args (@t65)) % 0.38/0.56 (step @p42 :rule quant-merge-prenex :args ((= (forall @t6 @t67) @t65))) % 0.38/0.56 (step @p43 :rule alpha_equiv :args (@t68 (@list @t59) @t42)) % 0.38/0.56 (step @p44 :rule nary_cong :premises (@p13 @p43) :args (@t69)) % 0.38/0.56 (step @p45 :rule quant-miniscope-or :args ((= @t67 @t69))) % 0.38/0.56 (step @p46 :rule trans :premises (@p45 @p44)) % 0.38/0.56 (step @p47 :rule symm :premises (@p46)) % 0.38/0.56 (step @p48 :rule cong :premises (@p47) :args ((forall @t6 (or @t33 @t72)))) % 0.38/0.56 (step @p49 :rule trans :premises (@p48 @p42)) % 0.38/0.56 (step @p50 :rule trans :premises (@p49 @p41)) % 0.38/0.56 (step @p51 :rule bool-impl-elim :args (@t5 @t72)) % 0.38/0.56 (step @p52 :rule cong :premises (@p51) :args ((forall @t6 (=> @t5 @t72)))) % 0.38/0.56 (step @p53 :rule trans :premises (@p52 @p50)) % 0.38/0.56 (step @p54 :rule aci_norm :args ((= (or @t45 @t70) @t71))) % 0.38/0.56 (step @p55 :rule refl :args (@t70)) % 0.38/0.56 (step @p56 :rule bool-and-de-morgan :args (@t16 @t15 true)) % 0.38/0.56 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t17) @t70))) % 0.38/0.56 (step @p58 :rule trans :premises (@p57 @p54)) % 0.38/0.56 (step @p59 :rule bool-impl-elim :args (@t17 @t70)) % 0.38/0.56 (step @p60 :rule trans :premises (@p59 @p58)) % 0.38/0.56 (step @p61 :rule cong :premises (@p60) :args ((forall @t19 (=> @t17 @t70)))) % 0.38/0.56 (step @p62 :rule eq-symm :args (@t14 tptp.dci)) % 0.38/0.56 (step @p63 :rule refl :args (@t17)) % 0.38/0.56 (step @p64 :rule cong :premises (@p63 @p62) :args (@t18)) % 0.38/0.56 (step @p65 :rule cong :premises (@p64) :args (@t20)) % 0.38/0.56 (step @p66 :rule trans :premises (@p65 @p61)) % 0.38/0.56 (step @p67 :rule cong :premises (@p26 @p66) :args (@t21)) % 0.38/0.56 (step @p68 :rule cong :premises (@p67) :args (@t22)) % 0.38/0.56 (step @p69 :rule trans :premises (@p68 @p53)) % 0.38/0.56 (step @p70 :rule eq_resolve :premises (@p5 @p69)) % 0.38/0.56 (step @p71 :rule instantiate :premises (@p70) :args ((@list @t49 @t48))) % 0.38/0.56 (step @p72 :rule bool-double-not-elim :args (@t51)) % 0.38/0.56 (step @p73 :rule nary_cong :premises (@p34 @p72) :args ((or @t56 (not @t52)))) % 0.38/0.56 (step @p74 :rule cnf_or_neg :args (@t56 2)) % 0.38/0.56 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.38/0.56 (step @p76 :rule reordering :premises (@p75) :args ((or @t51 @t56))) % 0.38/0.56 (step @p77 :rule chain_m_resolution :premises (@p76 @p32) :args (@t51 @t57 @t58)) % 0.38/0.56 (step @p78 :rule bool-double-not-elim :args (@t54)) % 0.38/0.56 (step @p79 :rule nary_cong :premises (@p34 @p78) :args ((or @t56 (not @t55)))) % 0.38/0.56 (step @p80 :rule cnf_or_neg :args (@t56 0)) % 0.38/0.56 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.38/0.56 (step @p82 :rule reordering :premises (@p81) :args ((or @t54 @t56))) % 0.38/0.56 (step @p83 :rule chain_m_resolution :premises (@p82 @p32) :args (@t54 @t57 @t58)) % 0.38/0.56 (step @p84 :rule cnf_or_pos :args (@t74)) % 0.38/0.56 (step @p85 :rule reordering :premises (@p84) :args ((or @t55 @t53 @t52 @t73 (not @t74)))) % 0.38/0.56 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p39 @p77 @p71) :args (@t73 (@list false false false false) (@list @t54 @t50 @t51 @t74))) % 0.38/0.56 (step @p87 :rule bool-impl-elim :args (@t5 @t12)) % 0.38/0.56 (step @p88 :rule cong :premises (@p87) :args (@t13)) % 0.38/0.56 (step @p89 :rule eq_resolve :premises (@p3 @p88)) % 0.38/0.56 (step @p90 :rule instantiate :premises (@p89) :args (@t75)) % 0.38/0.56 (step @p91 :rule cnf_or_pos :args (@t79)) % 0.38/0.56 (step @p92 :rule reordering :premises (@p91) :args ((or @t55 @t78 (not @t79)))) % 0.38/0.56 (step @p93 :rule chain_m_resolution :premises (@p92 @p83 @p90) :args (@t78 @t80 (@list @t54 @t79))) % 0.38/0.56 (step @p94 :rule bool-impl-elim :args (@t5 @t10)) % 0.38/0.56 (step @p95 :rule cong :premises (@p94) :args (@t11)) % 0.38/0.56 (step @p96 :rule eq_resolve :premises (@p2 @p95)) % 0.38/0.56 (step @p97 :rule instantiate :premises (@p96) :args (@t75)) % 0.38/0.56 (step @p98 :rule cnf_or_pos :args (@t85)) % 0.38/0.56 (step @p99 :rule reordering :premises (@p98) :args ((or @t55 @t84 (not @t85)))) % 0.38/0.56 (step @p100 :rule chain_m_resolution :premises (@p99 @p83 @p97) :args (@t84 @t80 (@list @t54 @t85))) % 0.38/0.56 (step @p101 :rule bool-impl-elim :args (@t5 @t23)) % 0.38/0.56 (step @p102 :rule cong :premises (@p101) :args (@t24)) % 0.38/0.56 (step @p103 :rule eq_resolve :premises (@p6 @p102)) % 0.38/0.56 (step @p104 :rule instantiate :premises (@p103) :args (@t75)) % 0.38/0.56 (step @p105 :rule cnf_or_pos :args (@t89)) % 0.38/0.56 (step @p106 :rule reordering :premises (@p105) :args ((or @t55 @t88 (not @t89)))) % 0.38/0.56 (step @p107 :rule chain_m_resolution :premises (@p106 @p83 @p104) :args (@t88 @t80 (@list @t54 @t89))) % 0.38/0.56 (step @p108 :rule cnf_and_pos :args (@t88 1)) % 0.38/0.56 (step @p109 :rule reordering :premises (@p108) :args ((or @t86 @t90))) % 0.38/0.56 (step @p110 :rule chain_m_resolution :premises (@p109 @p107) :args (@t86 @t91 @t92)) % 0.38/0.56 (step @p111 :rule cnf_and_pos :args (@t88 0)) % 0.38/0.56 (step @p112 :rule reordering :premises (@p111) :args ((or @t87 @t90))) % 0.38/0.56 (step @p113 :rule chain_m_resolution :premises (@p112 @p107) :args (@t87 @t91 @t92)) % 0.38/0.56 (step @p114 :rule cnf_or_pos :args (@t83)) % 0.38/0.56 (step @p115 :rule reordering :premises (@p114) :args ((or @t82 @t81 @t93))) % 0.38/0.56 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p110) :args (@t93 (@list true true) (@list @t82 @t81))) % 0.38/0.56 (step @p117 :rule cnf_equiv_pos2 :args (@t84)) % 0.38/0.56 (step @p118 :rule reordering :premises (@p117) :args ((or @t83 @t94 (not @t84)))) % 0.38/0.56 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p100) :args (@t94 @t95 (@list @t83 @t84))) % 0.38/0.56 (step @p120 :rule cnf_equiv_pos2 :args (@t78)) % 0.38/0.56 (step @p121 :rule reordering :premises (@p120) :args ((or @t77 @t96 (not @t78)))) % 0.38/0.56 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p93) :args (@t96 @t95 (@list @t77 @t78))) % 0.38/0.56 (assume-push @p138 @t50) % 0.38/0.56 (assume-push @p139 @t73) % 0.38/0.56 (step @p125 :rule true_intro :premises (@p39)) % 0.38/0.56 (step @p126 :rule refl :args (@t49)) % 0.38/0.56 (step @p127 :rule cong :premises (@p126 @p86) :args (@t76)) % 0.38/0.56 (step @p128 :rule trans :premises (@p127 @p125)) % 0.38/0.56 (step @p129 :rule true_elim :premises (@p128)) % 0.38/0.56 (step-pop @p140 :rule scope :premises (@p129)) % 0.38/0.56 (step-pop @p141 :rule scope :premises (@p140)) % 0.38/0.56 (step @p130 :rule process_scope :premises (@p141) :args (@t76)) % 0.38/0.56 (step @p133 :rule implies_elim :premises (@p130)) % 0.38/0.56 (step @p134 :rule cnf_and_neg :args (@t97)) % 0.38/0.56 (step @p135 :rule resolution :premises (@p134 @p133) :args (true @t97)) % 0.38/0.56 (step @p136 :rule reordering :premises (@p135) :args ((or @t53 @t76 (not @t73)))) % 0.38/0.56 (step @p137 false :rule chain_m_resolution :premises (@p136 @p122 @p86 @p39) :args (false (@list true false false) (@list @t76 @t73 @t50))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------