%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN088+1 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:42:56 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUN088+1 : TPTP v9.2.1. Released v7.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n017.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 12:43:31 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.r1 (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.id (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (define @t1 () (@var "Y24" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "X19" $$unsorted)) % 0.38/0.59 (define @t3 () (tptp.id @t2 @t1)) % 0.38/0.59 (define @t4 () (tptp.r1 @t2)) % 0.38/0.59 (define @t5 () (@var "Y21" $$unsorted)) % 0.38/0.59 (define @t6 () (@var "X12" $$unsorted)) % 0.38/0.59 (define @t7 () (tptp.id @t6 @t5)) % 0.38/0.59 (define @t8 () (@var "X11" $$unsorted)) % 0.38/0.59 (define @t9 () (tptp.r2 @t8 @t6)) % 0.38/0.59 (define @t10 () (@var "Y22" $$unsorted)) % 0.38/0.59 (define @t11 () (@var "X15" $$unsorted)) % 0.38/0.59 (define @t12 () (tptp.id @t11 @t10)) % 0.38/0.59 (define @t13 () (@var "X14" $$unsorted)) % 0.38/0.59 (define @t14 () (@var "X13" $$unsorted)) % 0.38/0.59 (define @t15 () (tptp.r3 @t14 @t13 @t11)) % 0.38/0.59 (define @t16 () (@var "Y23" $$unsorted)) % 0.38/0.59 (define @t17 () (@var "X18" $$unsorted)) % 0.38/0.59 (define @t18 () (tptp.id @t17 @t16)) % 0.38/0.59 (define @t19 () (@var "X17" $$unsorted)) % 0.38/0.59 (define @t20 () (@var "X16" $$unsorted)) % 0.38/0.59 (define @t21 () (tptp.r4 @t20 @t19 @t17)) % 0.38/0.59 (define @t22 () (@var "X20" $$unsorted)) % 0.38/0.59 (define @t23 () (@var "X21" $$unsorted)) % 0.38/0.59 (define @t24 () (@var "X22" $$unsorted)) % 0.38/0.59 (define @t25 () (@var "X25" $$unsorted)) % 0.38/0.59 (define @t26 () (@var "X24" $$unsorted)) % 0.38/0.59 (define @t27 () (@var "X23" $$unsorted)) % 0.38/0.59 (define @t28 () (@var "X27" $$unsorted)) % 0.38/0.59 (define @t29 () (tptp.r1 @t28)) % 0.38/0.59 (define @t30 () (@var "X26" $$unsorted)) % 0.38/0.59 (define @t31 () (tptp.r1 @t30)) % 0.38/0.59 (define @t32 () (@var "X31" $$unsorted)) % 0.38/0.59 (define @t33 () (@var "X30" $$unsorted)) % 0.38/0.59 (define @t34 () (tptp.r2 @t33 @t32)) % 0.38/0.59 (define @t35 () (@var "X29" $$unsorted)) % 0.38/0.59 (define @t36 () (@var "X28" $$unsorted)) % 0.38/0.59 (define @t37 () (tptp.r2 @t36 @t35)) % 0.38/0.59 (define @t38 () (@var "X37" $$unsorted)) % 0.38/0.59 (define @t39 () (@var "X36" $$unsorted)) % 0.38/0.59 (define @t40 () (@var "X35" $$unsorted)) % 0.38/0.59 (define @t41 () (tptp.r3 @t40 @t39 @t38)) % 0.38/0.59 (define @t42 () (@var "X34" $$unsorted)) % 0.38/0.59 (define @t43 () (@var "X33" $$unsorted)) % 0.38/0.59 (define @t44 () (@var "X32" $$unsorted)) % 0.38/0.59 (define @t45 () (tptp.r3 @t44 @t43 @t42)) % 0.38/0.59 (define @t46 () (@var "X43" $$unsorted)) % 0.38/0.59 (define @t47 () (@var "X42" $$unsorted)) % 0.38/0.59 (define @t48 () (@var "X41" $$unsorted)) % 0.38/0.59 (define @t49 () (tptp.r4 @t48 @t47 @t46)) % 0.38/0.59 (define @t50 () (@var "X40" $$unsorted)) % 0.38/0.59 (define @t51 () (@var "X39" $$unsorted)) % 0.38/0.59 (define @t52 () (@var "X38" $$unsorted)) % 0.38/0.59 (define @t53 () (tptp.r4 @t52 @t51 @t50)) % 0.38/0.59 (define @t54 () (@var "Y7" $$unsorted)) % 0.38/0.59 (define @t55 () (@var "X8" $$unsorted)) % 0.38/0.59 (define @t56 () (@var "X1" $$unsorted)) % 0.38/0.59 (define @t57 () (@var "Y4" $$unsorted)) % 0.38/0.59 (define @t58 () (@var "Y5" $$unsorted)) % 0.38/0.59 (define @t59 () (@var "Y15" $$unsorted)) % 0.38/0.59 (define @t60 () (@var "Y6" $$unsorted)) % 0.38/0.59 (define @t61 () (@var "X9" $$unsorted)) % 0.38/0.59 (define @t62 () (@var "X2" $$unsorted)) % 0.38/0.59 (define @t63 () (@var "Y2" $$unsorted)) % 0.38/0.59 (define @t64 () (@var "Y3" $$unsorted)) % 0.38/0.59 (define @t65 () (@var "Y14" $$unsorted)) % 0.38/0.59 (define @t66 () (@list @t64)) % 0.38/0.59 (define @t67 () (@list @t63)) % 0.38/0.59 (define @t68 () (@var "X10" $$unsorted)) % 0.38/0.59 (define @t69 () (@var "X3" $$unsorted)) % 0.38/0.59 (define @t70 () (@var "Y12" $$unsorted)) % 0.38/0.59 (define @t71 () (@var "Y13" $$unsorted)) % 0.38/0.59 (define @t72 () (@var "Y9" $$unsorted)) % 0.38/0.59 (define @t73 () (@var "Y16" $$unsorted)) % 0.38/0.59 (define @t74 () (@var "X4" $$unsorted)) % 0.38/0.59 (define @t75 () (@var "Y18" $$unsorted)) % 0.38/0.59 (define @t76 () (@var "Y8" $$unsorted)) % 0.38/0.59 (define @t77 () (@var "Y17" $$unsorted)) % 0.38/0.59 (define @t78 () (@var "X5" $$unsorted)) % 0.38/0.59 (define @t79 () (@var "Y11" $$unsorted)) % 0.38/0.59 (define @t80 () (@var "Y1" $$unsorted)) % 0.38/0.59 (define @t81 () (@var "X6" $$unsorted)) % 0.38/0.59 (define @t82 () (@var "Y19" $$unsorted)) % 0.38/0.59 (define @t83 () (@var "Y10" $$unsorted)) % 0.38/0.59 (define @t84 () (@var "X7" $$unsorted)) % 0.38/0.59 (define @t85 () (not (tptp.r2 @t84 @t83))) % 0.38/0.59 (define @t86 () (@var "Y20" $$unsorted)) % 0.38/0.59 (define @t87 () (@list @t84 @t83)) % 0.38/0.59 (define @t88 () (forall @t87 (or (forall (@list @t86) (or (not (tptp.id @t86 @t83)) (not (tptp.r1 @t86)))) @t85))) % 0.38/0.59 (define @t89 () (@list @t80)) % 0.38/0.59 (define @t90 () (forall @t89 (or (forall @t67 (or (not (tptp.id @t63 @t80)) (not (tptp.r1 @t63)))) (forall @t66 (or (not (tptp.r1 @t64)) (not (tptp.r2 @t64 @t80))))))) % 0.38/0.59 (define @t91 () (not @t90)) % 0.38/0.59 (define @t92 () (@var "BOUND_VARIABLE_8009" $$unsorted)) % 0.38/0.59 (define @t93 () (not (tptp.r1 @t92))) % 0.38/0.59 (define @t94 () (not (tptp.id @t92 @t83))) % 0.38/0.59 (define @t95 () (or @t85 @t94 @t93)) % 0.38/0.59 (define @t96 () (or @t94 @t93)) % 0.38/0.59 (define @t97 () (or @t96 @t85)) % 0.38/0.59 (define @t98 () (@list @t84 @t83 @t92)) % 0.38/0.59 (define @t99 () (forall @t98 @t97)) % 0.38/0.59 (define @t100 () (@list @t92)) % 0.38/0.59 (define @t101 () (forall @t100 @t97)) % 0.38/0.59 (define @t102 () (forall @t100 @t96)) % 0.38/0.59 (define @t103 () (or @t102 @t85)) % 0.38/0.59 (define @t104 () (@var "BOUND_VARIABLE_8029" $$unsorted)) % 0.38/0.59 (define @t105 () (not (tptp.r2 @t104 @t80))) % 0.38/0.59 (define @t106 () (not (tptp.r1 @t104))) % 0.38/0.59 (define @t107 () (@var "BOUND_VARIABLE_8022" $$unsorted)) % 0.38/0.59 (define @t108 () (not (tptp.r1 @t107))) % 0.38/0.59 (define @t109 () (not (tptp.id @t107 @t80))) % 0.38/0.59 (define @t110 () (or @t109 @t108 @t106 @t105)) % 0.38/0.59 (define @t111 () (or @t106 @t105)) % 0.38/0.59 (define @t112 () (or @t109 @t108)) % 0.38/0.59 (define @t113 () (or @t112 @t111)) % 0.38/0.59 (define @t114 () (@list @t80 @t107 @t104)) % 0.38/0.59 (define @t115 () (forall @t114 @t113)) % 0.38/0.59 (define @t116 () (forall (@list @t107 @t104) @t113)) % 0.38/0.59 (define @t117 () (forall (@list @t104) @t111)) % 0.38/0.59 (define @t118 () (forall (@list @t107) @t112)) % 0.38/0.59 (define @t119 () (or @t118 @t117)) % 0.38/0.59 (define @t120 () (forall @t114 @t110)) % 0.38/0.59 (define @t121 () (@quantifiers_skolemize @t120 0)) % 0.38/0.59 (define @t122 () (@quantifiers_skolemize @t120 2)) % 0.38/0.59 (define @t123 () (tptp.r2 @t122 @t121)) % 0.38/0.59 (define @t124 () (not @t123)) % 0.38/0.59 (define @t125 () (@quantifiers_skolemize @t120 1)) % 0.38/0.59 (define @t126 () (tptp.r1 @t125)) % 0.38/0.59 (define @t127 () (not @t126)) % 0.38/0.59 (define @t128 () (tptp.id @t125 @t121)) % 0.38/0.59 (define @t129 () (not @t128)) % 0.38/0.59 (define @t130 () (or @t129 @t127 (not (tptp.r1 @t122)) @t124)) % 0.38/0.59 (define @t131 () (@list true)) % 0.38/0.59 (define @t132 () (@list @t130)) % 0.38/0.59 (define @t133 () (or @t124 @t129 @t127)) % 0.38/0.59 (define @t134 () (not @t133)) % 0.38/0.59 (define @t135 () (forall @t98 @t95)) % 0.38/0.59 (assume @p1 (exists (@list @t1) (forall (@list @t2) (or (and @t3 @t4) (and (not @t4) (not @t3)))))) % 0.38/0.59 (assume @p2 (forall (@list @t8) (exists (@list @t5) (forall (@list @t6) (or (and @t7 @t9) (and (not @t9) (not @t7))))))) % 0.38/0.59 (assume @p3 (forall (@list @t14 @t13) (exists (@list @t10) (forall (@list @t11) (or (and @t12 @t15) (and (not @t15) (not @t12))))))) % 0.38/0.59 (assume @p4 (forall (@list @t20 @t19) (exists (@list @t16) (forall (@list @t17) (or (and @t18 @t21) (and (not @t21) (not @t18))))))) % 0.38/0.59 (assume @p5 (forall (@list @t22) (tptp.id @t22 @t22))) % 0.38/0.59 (assume @p6 (forall (@list @t23 @t24) (or (not (tptp.id @t23 @t24)) (tptp.id @t24 @t23)))) % 0.38/0.59 (assume @p7 (forall (@list @t27 @t26 @t25) (or (not (tptp.id @t27 @t26)) (tptp.id @t27 @t25) (not (tptp.id @t26 @t25))))) % 0.38/0.59 (assume @p8 (forall (@list @t30 @t28) (or (not (tptp.id @t30 @t28)) (and (not @t31) (not @t29)) (and @t31 @t29)))) % 0.38/0.59 (assume @p9 (forall (@list @t36 @t35 @t33 @t32) (or (not (tptp.id @t36 @t33)) (not (tptp.id @t35 @t32)) (and (not @t37) (not @t34)) (and @t37 @t34)))) % 0.38/0.59 (assume @p10 (forall (@list @t44 @t43 @t42 @t40 @t39 @t38) (or (not (tptp.id @t44 @t40)) (not (tptp.id @t43 @t39)) (not (tptp.id @t42 @t38)) (and (not @t45) (not @t41)) (and @t45 @t41)))) % 0.38/0.59 (assume @p11 (forall (@list @t52 @t51 @t50 @t48 @t47 @t46) (or (not (tptp.id @t52 @t48)) (not (tptp.id @t51 @t47)) (not (tptp.id @t50 @t46)) (and (not @t53) (not @t49)) (and @t53 @t49)))) % 0.38/0.59 (assume @p12 (forall (@list @t56 @t55) (exists (@list @t57) (and (exists (@list @t58) (and (tptp.id @t58 @t57) (exists (@list @t59) (and (tptp.r2 @t55 @t59) (tptp.r3 @t56 @t59 @t58))))) (exists (@list @t54) (and (tptp.r2 @t54 @t57) (tptp.r3 @t56 @t55 @t54))))))) % 0.38/0.59 (assume @p13 (forall (@list @t62 @t61) (exists @t67 (and (exists @t66 (and (tptp.id @t64 @t63) (exists (@list @t65) (and (tptp.r2 @t61 @t65) (tptp.r4 @t62 @t65 @t64))))) (exists (@list @t60) (and (tptp.r3 @t60 @t62 @t63) (tptp.r4 @t62 @t61 @t60))))))) % 0.38/0.59 (assume @p14 (forall (@list @t69 @t68) (or (forall (@list @t70) (or (forall (@list @t71) (or (not (tptp.id @t71 @t70)) (not (tptp.r2 @t69 @t71)))) (not (tptp.r2 @t68 @t70)))) (tptp.id @t69 @t68)))) % 0.38/0.59 (assume @p15 (forall (@list @t74) (exists (@list @t72) (and (tptp.id @t72 @t74) (exists (@list @t73) (and (tptp.r1 @t73) (tptp.r3 @t74 @t73 @t72))))))) % 0.38/0.60 (assume @p16 (forall (@list @t78) (exists (@list @t76) (and (exists (@list @t77) (and (tptp.r1 @t77) (tptp.r4 @t78 @t77 @t76))) (exists (@list @t75) (and (tptp.id @t76 @t75) (tptp.r1 @t75))))))) % 0.38/0.60 (assume @p17 (forall (@list @t81) (or (exists (@list @t82) (and (tptp.id @t81 @t82) (tptp.r1 @t82))) (exists (@list @t80 @t79) (and (tptp.id @t81 @t79) (tptp.r2 @t80 @t79)))))) % 0.38/0.60 (assume @p18 @t88) % 0.38/0.60 (assume @p19 @t91) % 0.38/0.60 (assume @p20 true) % 0.38/0.60 (step @p21 :rule aci_norm :args ((= @t97 @t95))) % 0.38/0.60 (step @p22 :rule cong :premises (@p21) :args (@t99)) % 0.38/0.60 (step @p23 :rule quant-merge-prenex :args ((= (forall @t87 @t101) @t99))) % 0.38/0.60 (step @p24 :rule refl :args (@t85)) % 0.38/0.60 (step @p25 :rule alpha_equiv :args (@t102 (@list @t92) (@list @t86))) % 0.38/0.60 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t103)) % 0.38/0.60 (step @p27 :rule quant-miniscope-or :args ((= @t101 @t103))) % 0.38/0.60 (step @p28 :rule trans :premises (@p27 @p26)) % 0.38/0.60 (step @p29 :rule symm :premises (@p28)) % 0.38/0.60 (step @p30 :rule cong :premises (@p29) :args (@t88)) % 0.38/0.60 (step @p31 :rule trans :premises (@p30 @p23)) % 0.38/0.60 (step @p32 :rule trans :premises (@p31 @p22)) % 0.38/0.60 (step @p33 :rule eq_resolve :premises (@p18 @p32)) % 0.38/0.60 (step @p34 :rule aci_norm :args ((= @t113 @t110))) % 0.38/0.60 (step @p35 :rule cong :premises (@p34) :args (@t115)) % 0.38/0.60 (step @p36 :rule quant-merge-prenex :args ((= (forall @t89 @t116) @t115))) % 0.38/0.60 (step @p37 :rule alpha_equiv :args (@t117 (@list @t104) (@list @t64))) % 0.38/0.60 (step @p38 :rule alpha_equiv :args (@t118 (@list @t107) (@list @t63))) % 0.38/0.60 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t119)) % 0.38/0.60 (step @p40 :rule quant-miniscope-or :args ((= @t116 @t119))) % 0.38/0.60 (step @p41 :rule trans :premises (@p40 @p39)) % 0.38/0.60 (step @p42 :rule symm :premises (@p41)) % 0.38/0.60 (step @p43 :rule cong :premises (@p42) :args (@t90)) % 0.38/0.60 (step @p44 :rule trans :premises (@p43 @p36)) % 0.38/0.60 (step @p45 :rule trans :premises (@p44 @p35)) % 0.38/0.60 (step @p46 :rule cong :premises (@p45) :args (@t91)) % 0.38/0.60 (step @p47 :rule eq_resolve :premises (@p19 @p46)) % 0.38/0.60 (step @p48 :rule skolemize :premises (@p47)) % 0.38/0.60 (step @p49 :rule bool-double-not-elim :args (@t123)) % 0.38/0.60 (step @p50 :rule refl :args (@t130)) % 0.38/0.60 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t130 (not @t124)))) % 0.38/0.60 (step @p52 :rule cnf_or_neg :args (@t130 3)) % 0.38/0.60 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.38/0.60 (step @p54 :rule reordering :premises (@p53) :args ((or @t123 @t130))) % 0.38/0.60 (step @p55 :rule chain_m_resolution :premises (@p54 @p48) :args (@t123 @t131 @t132)) % 0.38/0.60 (step @p56 :rule bool-double-not-elim :args (@t126)) % 0.38/0.60 (step @p57 :rule nary_cong :premises (@p50 @p56) :args ((or @t130 (not @t127)))) % 0.38/0.60 (step @p58 :rule cnf_or_neg :args (@t130 1)) % 0.38/0.60 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.38/0.60 (step @p60 :rule reordering :premises (@p59) :args ((or @t126 @t130))) % 0.38/0.60 (step @p61 :rule chain_m_resolution :premises (@p60 @p48) :args (@t126 @t131 @t132)) % 0.38/0.60 (step @p62 :rule bool-double-not-elim :args (@t128)) % 0.38/0.60 (step @p63 :rule nary_cong :premises (@p50 @p62) :args ((or @t130 (not @t129)))) % 0.38/0.60 (step @p64 :rule cnf_or_neg :args (@t130 0)) % 0.38/0.60 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.38/0.60 (step @p66 :rule reordering :premises (@p65) :args ((or @t128 @t130))) % 0.38/0.60 (step @p67 :rule chain_m_resolution :premises (@p66 @p48) :args (@t128 @t131 @t132)) % 0.38/0.60 (step @p68 :rule cnf_or_pos :args (@t133)) % 0.38/0.60 (step @p69 :rule reordering :premises (@p68) :args ((or @t129 @t127 @t124 @t134))) % 0.38/0.60 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p61 @p55) :args (@t134 (@list false false false) (@list @t128 @t126 @t123))) % 0.38/0.60 (assume-push @p77 @t135) % 0.38/0.60 (step @p72 :rule instantiate :premises (@p33) :args ((@list @t122 @t121 @t125))) % 0.38/0.60 (step-pop @p78 :rule scope :premises (@p72)) % 0.38/0.60 (step @p73 :rule process_scope :premises (@p78) :args (@t133)) % 0.38/0.60 (step @p75 :rule implies_elim :premises (@p73)) % 0.38/0.60 (step @p76 false :rule chain_m_resolution :premises (@p75 @p70 @p33) :args (false (@list true false) (@list @t133 @t135))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------