%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN595-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.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 09:09:28 AM UTC 2026 % Result : Unsatisfiable 0.44s 0.64s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SYN595-1 : TPTP v9.2.1. Released v2.5.0. % 0.11/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.36 % Computer : n004.cluster.edu % 0.18/0.36 % Model : x86_64 x86_64 % 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.36 % Memory : 8042.1875MB % 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.36 % CPULimit : 300 % 0.18/0.36 % WCLimit : 300 % 0.18/0.36 % DateTime : Tue Jun 2 23:32:38 EDT 2026 % 0.18/0.36 % CPUTime : % 0.32/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.64 % SZS status Unsatisfiable % 0.44/0.64 % SZS output start Proof % 0.44/0.65 ( % 0.44/0.65 (declare-sort $$unsorted 0) % 0.44/0.65 (declare-const tptp.c22 $$unsorted) % 0.44/0.65 (declare-const tptp.c20 $$unsorted) % 0.44/0.65 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.f13 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.f11 (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.p7 (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.c21 $$unsorted) % 0.44/0.65 (declare-const tptp.f12 (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.c16 $$unsorted) % 0.44/0.65 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.f5 (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.f4 (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.c18 $$unsorted) % 0.44/0.65 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.p14 (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.p15 (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.c17 $$unsorted) % 0.44/0.65 (declare-const tptp.c19 $$unsorted) % 0.44/0.65 (define @t1 () (@var "X10" $$unsorted)) % 0.44/0.65 (define @t2 () (@var "X27" $$unsorted)) % 0.44/0.65 (define @t3 () (tptp.f3 tptp.c17)) % 0.44/0.65 (define @t4 () (tptp.p2 tptp.c21 @t3)) % 0.44/0.65 (define @t5 () (tptp.f5 tptp.c17)) % 0.44/0.65 (define @t6 () (tptp.f3 (tptp.f4 @t5))) % 0.44/0.65 (define @t7 () (tptp.p14 tptp.c18 @t6)) % 0.44/0.65 (define @t8 () (@var "X5" $$unsorted)) % 0.44/0.65 (define @t9 () (@var "X4" $$unsorted)) % 0.44/0.65 (define @t10 () (tptp.p14 @t9 @t8)) % 0.44/0.65 (define @t11 () (not @t10)) % 0.44/0.65 (define @t12 () (tptp.p15 @t9 @t8)) % 0.44/0.65 (define @t13 () (@list @t9 @t8)) % 0.44/0.65 (define @t14 () (tptp.p2 @t9 @t8)) % 0.44/0.65 (define @t15 () (tptp.f6 @t6 tptp.c16)) % 0.44/0.65 (define @t16 () (tptp.p14 tptp.c19 @t15)) % 0.44/0.65 (define @t17 () (@var "X37" $$unsorted)) % 0.44/0.65 (define @t18 () (@var "X36" $$unsorted)) % 0.44/0.65 (define @t19 () (@var "X18" $$unsorted)) % 0.44/0.65 (define @t20 () (@var "X17" $$unsorted)) % 0.44/0.65 (define @t21 () (@var "X20" $$unsorted)) % 0.44/0.65 (define @t22 () (@var "X19" $$unsorted)) % 0.44/0.65 (define @t23 () (@var "X22" $$unsorted)) % 0.44/0.65 (define @t24 () (@var "X21" $$unsorted)) % 0.44/0.65 (define @t25 () (@var "X35" $$unsorted)) % 0.44/0.65 (define @t26 () (@var "X34" $$unsorted)) % 0.44/0.65 (define @t27 () (@var "X29" $$unsorted)) % 0.44/0.65 (define @t28 () (@var "X28" $$unsorted)) % 0.44/0.65 (define @t29 () (@var "X12" $$unsorted)) % 0.44/0.65 (define @t30 () (@var "X11" $$unsorted)) % 0.44/0.65 (define @t31 () (forall (@list @t30 @t29 @t1) (or (tptp.p2 @t30 @t29) (not (tptp.p2 @t1 @t30)) (not (tptp.p2 @t1 @t29))))) % 0.44/0.65 (define @t32 () (tptp.f3 @t5)) % 0.44/0.65 (define @t33 () (tptp.f6 @t6 (tptp.f13 tptp.c16 @t32))) % 0.44/0.65 (define @t34 () (tptp.p2 tptp.c19 @t33)) % 0.44/0.65 (define @t35 () (@var "X3" $$unsorted)) % 0.44/0.65 (define @t36 () (@var "X2" $$unsorted)) % 0.44/0.65 (define @t37 () (@var "X1" $$unsorted)) % 0.44/0.65 (define @t38 () (@var "X0" $$unsorted)) % 0.44/0.65 (define @t39 () (@var "X9" $$unsorted)) % 0.44/0.65 (define @t40 () (@var "X8" $$unsorted)) % 0.44/0.65 (define @t41 () (@var "X7" $$unsorted)) % 0.44/0.65 (define @t42 () (@var "X6" $$unsorted)) % 0.44/0.65 (define @t43 () (@var "X16" $$unsorted)) % 0.44/0.65 (define @t44 () (@var "X14" $$unsorted)) % 0.44/0.65 (define @t45 () (@var "X15" $$unsorted)) % 0.44/0.65 (define @t46 () (@var "X13" $$unsorted)) % 0.44/0.65 (define @t47 () (@var "X45" $$unsorted)) % 0.44/0.65 (define @t48 () (@var "X43" $$unsorted)) % 0.44/0.65 (define @t49 () (@var "X44" $$unsorted)) % 0.44/0.65 (define @t50 () (@var "X42" $$unsorted)) % 0.44/0.65 (define @t51 () (@var "X41" $$unsorted)) % 0.44/0.65 (define @t52 () (@var "X39" $$unsorted)) % 0.44/0.65 (define @t53 () (@var "X40" $$unsorted)) % 0.44/0.65 (define @t54 () (@var "X38" $$unsorted)) % 0.44/0.65 (define @t55 () (@var "X32" $$unsorted)) % 0.44/0.65 (define @t56 () (@var "X30" $$unsorted)) % 0.44/0.65 (define @t57 () (@var "X33" $$unsorted)) % 0.44/0.65 (define @t58 () (@var "X31" $$unsorted)) % 0.44/0.65 (define @t59 () (@var "X26" $$unsorted)) % 0.44/0.65 (define @t60 () (@var "X24" $$unsorted)) % 0.44/0.65 (define @t61 () (@var "X25" $$unsorted)) % 0.44/0.65 (define @t62 () (@var "X23" $$unsorted)) % 0.44/0.65 (define @t63 () (tptp.f11 @t6)) % 0.44/0.65 (define @t64 () (tptp.f10 @t63 tptp.c22)) % 0.44/0.65 (define @t65 () (tptp.f11 tptp.c19)) % 0.44/0.65 (define @t66 () (tptp.f9 @t65 @t64)) % 0.44/0.65 (define @t67 () (tptp.f10 @t63 tptp.c21)) % 0.44/0.65 (define @t68 () (tptp.f8 @t67 @t66)) % 0.44/0.65 (define @t69 () (tptp.f12 (tptp.f11 @t32))) % 0.44/0.65 (define @t70 () (tptp.f10 @t69 tptp.c18)) % 0.44/0.65 (define @t71 () (tptp.f8 @t70 @t68)) % 0.44/0.65 (define @t72 () (@var "X47" $$unsorted)) % 0.44/0.65 (define @t73 () (@var "X48" $$unsorted)) % 0.44/0.65 (define @t74 () (@var "X46" $$unsorted)) % 0.44/0.65 (define @t75 () (tptp.f11 @t33)) % 0.44/0.65 (define @t76 () (tptp.f9 @t75 @t64)) % 0.44/0.65 (define @t77 () (tptp.f10 @t63 @t3)) % 0.44/0.65 (define @t78 () (tptp.f8 @t77 @t76)) % 0.44/0.65 (define @t79 () (tptp.f8 @t70 @t78)) % 0.44/0.65 (define @t80 () (not (tptp.p7 @t79 (tptp.f8 (tptp.f10 @t69 @t74) (tptp.f8 (tptp.f10 @t63 @t73) (tptp.f9 (tptp.f11 @t72) @t64)))))) % 0.44/0.65 (define @t81 () (not (tptp.p15 @t72 @t15))) % 0.44/0.65 (define @t82 () (not (tptp.p14 @t74 @t6))) % 0.44/0.65 (define @t83 () (tptp.p2 tptp.c19 tptp.c19)) % 0.44/0.65 (define @t84 () (not @t83)) % 0.44/0.65 (define @t85 () (not @t34)) % 0.44/0.65 (define @t86 () (tptp.p2 @t33 tptp.c19)) % 0.44/0.65 (define @t87 () (or @t86 @t85 @t84)) % 0.44/0.65 (define @t88 () (@list false false false)) % 0.44/0.65 (define @t89 () (not @t86)) % 0.44/0.65 (define @t90 () (tptp.p7 @t75 @t65)) % 0.44/0.65 (define @t91 () (or @t90 @t89)) % 0.44/0.65 (define @t92 () (@list false false)) % 0.44/0.65 (define @t93 () (tptp.p7 @t64 @t64)) % 0.44/0.65 (define @t94 () (not @t93)) % 0.44/0.65 (define @t95 () (not @t90)) % 0.44/0.65 (define @t96 () (tptp.p7 @t76 @t66)) % 0.44/0.65 (define @t97 () (or @t96 @t95 @t94)) % 0.44/0.65 (define @t98 () (not @t16)) % 0.44/0.65 (define @t99 () (tptp.p15 tptp.c19 @t15)) % 0.44/0.65 (define @t100 () (or @t99 @t98)) % 0.44/0.65 (define @t101 () (tptp.p7 @t79 @t71)) % 0.44/0.65 (define @t102 () (not @t101)) % 0.44/0.65 (define @t103 () (not @t99)) % 0.44/0.65 (define @t104 () (not @t7)) % 0.44/0.65 (define @t105 () (not @t4)) % 0.44/0.65 (define @t106 () (or @t105 @t104 @t103 @t102)) % 0.44/0.65 (define @t107 () (tptp.p7 @t78 @t68)) % 0.44/0.65 (define @t108 () (not @t107)) % 0.44/0.65 (define @t109 () (tptp.p7 @t70 @t70)) % 0.44/0.65 (define @t110 () (not @t109)) % 0.44/0.65 (define @t111 () (or @t101 @t110 @t108)) % 0.44/0.65 (define @t112 () (@list true false false)) % 0.44/0.65 (define @t113 () (not @t96)) % 0.44/0.65 (define @t114 () (tptp.p7 @t77 @t67)) % 0.44/0.65 (define @t115 () (not @t114)) % 0.44/0.65 (define @t116 () (or @t107 @t115 @t113)) % 0.44/0.65 (define @t117 () (tptp.p7 @t63 @t63)) % 0.44/0.65 (define @t118 () (not @t117)) % 0.44/0.65 (define @t119 () (tptp.p2 @t3 tptp.c21)) % 0.44/0.65 (define @t120 () (not @t119)) % 0.44/0.65 (define @t121 () (or @t114 @t120 @t118)) % 0.44/0.65 (define @t122 () (tptp.p2 tptp.c21 tptp.c21)) % 0.44/0.65 (define @t123 () (not @t122)) % 0.44/0.65 (define @t124 () (or @t119 @t105 @t123)) % 0.44/0.65 (define @t125 () (not @t124)) % 0.44/0.65 (assume @p1 (forall (@list @t1) (tptp.p2 @t1 @t1))) % 0.44/0.65 (assume @p2 (forall (@list @t2) (tptp.p7 @t2 @t2))) % 0.44/0.65 (assume @p3 @t4) % 0.44/0.65 (assume @p4 (not (tptp.p2 tptp.c16 @t3))) % 0.44/0.65 (assume @p5 @t7) % 0.44/0.65 (assume @p6 (forall @t13 (or @t12 @t11))) % 0.44/0.65 (assume @p7 (forall @t13 (or @t11 (not @t14)))) % 0.44/0.65 (assume @p8 @t16) % 0.44/0.65 (assume @p9 (forall (@list @t18 @t17) (or (tptp.p7 (tptp.f12 @t18) (tptp.f12 @t17)) (not (tptp.p7 @t18 @t17))))) % 0.44/0.65 (assume @p10 (forall (@list @t20 @t19) (or (tptp.p2 (tptp.f3 @t20) (tptp.f3 @t19)) (not (tptp.p2 @t20 @t19))))) % 0.44/0.65 (assume @p11 (forall (@list @t22 @t21) (or (tptp.p2 (tptp.f4 @t22) (tptp.f4 @t21)) (not (tptp.p2 @t22 @t21))))) % 0.44/0.65 (assume @p12 (forall (@list @t24 @t23) (or (tptp.p2 (tptp.f5 @t24) (tptp.f5 @t23)) (not (tptp.p2 @t24 @t23))))) % 0.44/0.65 (assume @p13 (forall (@list @t26 @t25) (or (tptp.p7 (tptp.f11 @t26) (tptp.f11 @t25)) (not (tptp.p2 @t26 @t25))))) % 0.44/0.65 (assume @p14 (forall @t13 (or @t10 @t14 (not @t12)))) % 0.44/0.65 (assume @p15 (forall (@list @t28 @t27 @t2) (or (tptp.p7 @t28 @t27) (not (tptp.p7 @t2 @t28)) (not (tptp.p7 @t2 @t27))))) % 0.44/0.65 (assume @p16 @t31) % 0.44/0.65 (assume @p17 @t34) % 0.44/0.65 (assume @p18 (forall (@list @t38 @t37 @t36 @t35) (or (tptp.p14 @t38 @t37) (not (tptp.p2 @t36 @t38)) (not (tptp.p2 @t35 @t37)) (not (tptp.p14 @t36 @t35))))) % 0.44/0.65 (assume @p19 (forall (@list @t42 @t41 @t40 @t39) (or (tptp.p15 @t42 @t41) (not (tptp.p2 @t40 @t42)) (not (tptp.p2 @t39 @t41)) (not (tptp.p15 @t40 @t39))))) % 0.44/0.65 (assume @p20 (forall (@list @t46 @t44 @t45 @t43) (or (tptp.p2 (tptp.f13 @t46 @t44) (tptp.f13 @t45 @t43)) (not (tptp.p2 @t46 @t45)) (not (tptp.p2 @t44 @t43))))) % 0.44/0.65 (assume @p21 (forall (@list @t50 @t48 @t49 @t47) (or (tptp.p7 (tptp.f9 @t50 @t48) (tptp.f9 @t49 @t47)) (not (tptp.p7 @t50 @t49)) (not (tptp.p7 @t48 @t47))))) % 0.44/0.65 (assume @p22 (forall (@list @t54 @t52 @t53 @t51) (or (tptp.p7 (tptp.f8 @t54 @t52) (tptp.f8 @t53 @t51)) (not (tptp.p7 @t54 @t53)) (not (tptp.p7 @t52 @t51))))) % 0.44/0.65 (assume @p23 (forall (@list @t56 @t58 @t55 @t57) (or (tptp.p7 (tptp.f10 @t56 @t58) (tptp.f10 @t55 @t57)) (not (tptp.p2 @t58 @t57)) (not (tptp.p7 @t56 @t55))))) % 0.44/0.65 (assume @p24 (forall (@list @t62 @t60 @t61 @t59) (or (tptp.p2 (tptp.f6 @t62 @t60) (tptp.f6 @t61 @t59)) (not (tptp.p2 @t62 @t61)) (not (tptp.p2 @t60 @t59))))) % 0.44/0.65 (assume @p25 (tptp.p7 tptp.c20 @t71)) % 0.44/0.65 (assume @p26 (forall (@list @t73 @t74 @t72) (or (not (tptp.p2 @t73 @t3)) @t82 @t81 @t80))) % 0.44/0.65 (assume @p27 (forall (@list @t74 @t72 @t73) (or @t82 @t81 (not (tptp.p14 @t33 @t72)) @t80))) % 0.44/0.65 (step @p28 :rule instantiate :premises (@p1) :args ((@list tptp.c21))) % 0.44/0.65 (step @p29 :rule instantiate :premises (@p23) :args ((@list @t63 @t3 @t63 tptp.c21))) % 0.44/0.65 (step @p30 :rule instantiate :premises (@p2) :args ((@list @t63))) % 0.44/0.65 (step @p31 :rule instantiate :premises (@p22) :args ((@list @t77 @t76 @t67 @t66))) % 0.44/0.65 (step @p32 :rule instantiate :premises (@p21) :args ((@list @t75 @t64 @t65 @t64))) % 0.44/0.65 (step @p33 :rule instantiate :premises (@p2) :args ((@list @t64))) % 0.44/0.65 (step @p34 :rule instantiate :premises (@p13) :args ((@list @t33 tptp.c19))) % 0.44/0.65 (step @p35 :rule instantiate :premises (@p16) :args ((@list @t33 tptp.c19 tptp.c19))) % 0.44/0.65 (step @p36 :rule instantiate :premises (@p1) :args ((@list tptp.c19))) % 0.44/0.65 (step @p37 :rule cnf_or_pos :args (@t87)) % 0.44/0.65 (step @p38 :rule reordering :premises (@p37) :args ((or @t85 @t86 @t84 (not @t87)))) % 0.44/0.65 (step @p39 :rule chain_m_resolution :premises (@p38 @p17 @p36 @p35) :args (@t86 @t88 (@list @t34 @t83 @t87))) % 0.44/0.65 (step @p40 :rule cnf_or_pos :args (@t91)) % 0.44/0.65 (step @p41 :rule reordering :premises (@p40) :args ((or @t89 @t90 (not @t91)))) % 0.44/0.65 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p34) :args (@t90 @t92 (@list @t86 @t91))) % 0.44/0.65 (step @p43 :rule cnf_or_pos :args (@t97)) % 0.44/0.65 (step @p44 :rule reordering :premises (@p43) :args ((or @t96 @t95 @t94 (not @t97)))) % 0.44/0.65 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p33 @p32) :args (@t96 @t88 (@list @t90 @t93 @t97))) % 0.44/0.65 (step @p46 :rule instantiate :premises (@p22) :args ((@list @t70 @t78 @t70 @t68))) % 0.44/0.65 (step @p47 :rule instantiate :premises (@p2) :args ((@list @t70))) % 0.44/0.65 (step @p48 :rule instantiate :premises (@p26) :args ((@list tptp.c21 tptp.c18 tptp.c19))) % 0.44/0.65 (step @p49 :rule instantiate :premises (@p6) :args ((@list tptp.c19 @t15))) % 0.44/0.65 (step @p50 :rule cnf_or_pos :args (@t100)) % 0.44/0.65 (step @p51 :rule reordering :premises (@p50) :args ((or @t98 @t99 (not @t100)))) % 0.44/0.65 (step @p52 :rule chain_m_resolution :premises (@p51 @p8 @p49) :args (@t99 @t92 (@list @t16 @t100))) % 0.44/0.65 (step @p53 :rule cnf_or_pos :args (@t106)) % 0.44/0.65 (step @p54 :rule reordering :premises (@p53) :args ((or @t105 @t104 @t103 @t102 (not @t106)))) % 0.44/0.65 (step @p55 :rule chain_m_resolution :premises (@p54 @p3 @p5 @p52 @p48) :args (@t102 (@list false false false false) (@list @t4 @t7 @t99 @t106))) % 0.44/0.65 (step @p56 :rule cnf_or_pos :args (@t111)) % 0.44/0.65 (step @p57 :rule reordering :premises (@p56) :args ((or @t101 @t110 @t108 (not @t111)))) % 0.44/0.65 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p47 @p46) :args (@t108 @t112 (@list @t101 @t109 @t111))) % 0.44/0.65 (step @p59 :rule cnf_or_pos :args (@t116)) % 0.44/0.65 (step @p60 :rule reordering :premises (@p59) :args ((or @t107 @t115 @t113 (not @t116)))) % 0.44/0.65 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p45 @p31) :args (@t115 @t112 (@list @t107 @t96 @t116))) % 0.44/0.65 (step @p62 :rule cnf_or_pos :args (@t121)) % 0.44/0.65 (step @p63 :rule reordering :premises (@p62) :args ((or @t114 @t120 @t118 (not @t121)))) % 0.44/0.65 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p30 @p29) :args (@t120 @t112 (@list @t114 @t117 @t121))) % 0.44/0.65 (step @p65 :rule cnf_or_pos :args (@t124)) % 0.44/0.65 (step @p66 :rule reordering :premises (@p65) :args ((or @t105 @t119 @t123 @t125))) % 0.44/0.65 (step @p67 :rule chain_m_resolution :premises (@p66 @p3 @p64 @p28) :args (@t125 (@list false true false) (@list @t4 @t119 @t122))) % 0.44/0.65 (assume-push @p74 @t31) % 0.44/0.65 (step @p69 :rule instantiate :premises (@p16) :args ((@list @t3 tptp.c21 tptp.c21))) % 0.44/0.65 (step-pop @p75 :rule scope :premises (@p69)) % 0.44/0.65 (step @p70 :rule process_scope :premises (@p75) :args (@t124)) % 0.44/0.65 (step @p72 :rule implies_elim :premises (@p70)) % 0.44/0.65 (step @p73 false :rule chain_m_resolution :premises (@p72 @p67 @p16) :args (false (@list true false) (@list @t124 @t31))) % 0.44/0.65 ) % 0.44/0.65 % SZS output end Proof % 0.44/0.65 % cvc5 exiting %------------------------------------------------------------------------------