%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN630-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 09:09:32 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN630-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n029.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 23:33:02 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Unsatisfiable % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.f19 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.f13 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.c30 $$unsorted) % 0.38/0.59 (declare-const tptp.f20 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.f15 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.f17 (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.f16 (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.c26 $$unsorted) % 0.38/0.59 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.c23 $$unsorted) % 0.38/0.59 (declare-const tptp.c27 $$unsorted) % 0.38/0.59 (declare-const tptp.p4 (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.f11 (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.p3 (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.c29 $$unsorted) % 0.38/0.59 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.p6 (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.f12 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.f18 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.f10 (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.p22 (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.f9 (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.c28 $$unsorted) % 0.38/0.59 (declare-const tptp.p21 (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.c25 $$unsorted) % 0.38/0.59 (declare-const tptp.c24 $$unsorted) % 0.38/0.59 (define @t1 () (@var "X0" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "X70" $$unsorted)) % 0.38/0.59 (define @t3 () (@var "X41" $$unsorted)) % 0.38/0.59 (define @t4 () (@var "X15" $$unsorted)) % 0.38/0.59 (define @t5 () (tptp.f11 tptp.c29)) % 0.38/0.59 (define @t6 () (tptp.f9 (tptp.f10 @t5))) % 0.38/0.59 (define @t7 () (tptp.p21 tptp.c28 @t6)) % 0.38/0.59 (define @t8 () (tptp.p21 tptp.c27 (tptp.f12 @t6 tptp.c24))) % 0.38/0.59 (define @t9 () (@var "X69" $$unsorted)) % 0.38/0.59 (define @t10 () (@var "X68" $$unsorted)) % 0.38/0.59 (define @t11 () (@var "X38" $$unsorted)) % 0.38/0.59 (define @t12 () (@var "X37" $$unsorted)) % 0.38/0.59 (define @t13 () (@var "X40" $$unsorted)) % 0.38/0.60 (define @t14 () (@var "X39" $$unsorted)) % 0.38/0.60 (define @t15 () (@var "X45" $$unsorted)) % 0.38/0.60 (define @t16 () (@var "X44" $$unsorted)) % 0.38/0.60 (define @t17 () (@var "X47" $$unsorted)) % 0.38/0.60 (define @t18 () (@var "X46" $$unsorted)) % 0.38/0.60 (define @t19 () (tptp.p4 (tptp.f5 (tptp.f7 tptp.c23 (tptp.f8 tptp.c24 tptp.c25)) tptp.c26) tptp.c27)) % 0.38/0.60 (define @t20 () (@var "X2" $$unsorted)) % 0.38/0.60 (define @t21 () (@var "X1" $$unsorted)) % 0.38/0.60 (define @t22 () (@var "X72" $$unsorted)) % 0.38/0.60 (define @t23 () (@var "X71" $$unsorted)) % 0.38/0.60 (define @t24 () (@var "X43" $$unsorted)) % 0.38/0.60 (define @t25 () (@var "X42" $$unsorted)) % 0.38/0.60 (define @t26 () (@var "X17" $$unsorted)) % 0.38/0.60 (define @t27 () (@var "X16" $$unsorted)) % 0.38/0.60 (define @t28 () (tptp.f9 @t5)) % 0.38/0.60 (define @t29 () (tptp.p22 (tptp.f12 @t6 (tptp.f18 tptp.c24 @t28)) tptp.c27)) % 0.38/0.60 (define @t30 () (@var "X10" $$unsorted)) % 0.38/0.60 (define @t31 () (@var "X9" $$unsorted)) % 0.38/0.60 (define @t32 () (@var "X8" $$unsorted)) % 0.38/0.60 (define @t33 () (@var "X7" $$unsorted)) % 0.38/0.60 (define @t34 () (@var "X14" $$unsorted)) % 0.38/0.60 (define @t35 () (@var "X13" $$unsorted)) % 0.38/0.60 (define @t36 () (@var "X12" $$unsorted)) % 0.38/0.60 (define @t37 () (@var "X11" $$unsorted)) % 0.38/0.60 (define @t38 () (@var "X75" $$unsorted)) % 0.38/0.60 (define @t39 () (@var "X73" $$unsorted)) % 0.38/0.60 (define @t40 () (@var "X76" $$unsorted)) % 0.38/0.60 (define @t41 () (@var "X74" $$unsorted)) % 0.38/0.60 (define @t42 () (@var "X6" $$unsorted)) % 0.38/0.60 (define @t43 () (@var "X4" $$unsorted)) % 0.38/0.60 (define @t44 () (@var "X5" $$unsorted)) % 0.38/0.60 (define @t45 () (@var "X3" $$unsorted)) % 0.38/0.60 (define @t46 () (@var "X28" $$unsorted)) % 0.38/0.60 (define @t47 () (@var "X26" $$unsorted)) % 0.38/0.60 (define @t48 () (@var "X27" $$unsorted)) % 0.38/0.60 (define @t49 () (@var "X25" $$unsorted)) % 0.38/0.60 (define @t50 () (@var "X32" $$unsorted)) % 0.38/0.60 (define @t51 () (@var "X30" $$unsorted)) % 0.38/0.60 (define @t52 () (@var "X31" $$unsorted)) % 0.38/0.60 (define @t53 () (@var "X29" $$unsorted)) % 0.38/0.60 (define @t54 () (@var "X36" $$unsorted)) % 0.38/0.60 (define @t55 () (@var "X34" $$unsorted)) % 0.38/0.60 (define @t56 () (@var "X35" $$unsorted)) % 0.38/0.60 (define @t57 () (@var "X33" $$unsorted)) % 0.38/0.60 (define @t58 () (@var "X51" $$unsorted)) % 0.38/0.60 (define @t59 () (@var "X49" $$unsorted)) % 0.38/0.60 (define @t60 () (@var "X50" $$unsorted)) % 0.38/0.60 (define @t61 () (@var "X48" $$unsorted)) % 0.38/0.60 (define @t62 () (@var "X55" $$unsorted)) % 0.38/0.60 (define @t63 () (@var "X53" $$unsorted)) % 0.38/0.60 (define @t64 () (@var "X54" $$unsorted)) % 0.38/0.60 (define @t65 () (@var "X52" $$unsorted)) % 0.38/0.60 (define @t66 () (@var "X59" $$unsorted)) % 0.38/0.60 (define @t67 () (@var "X57" $$unsorted)) % 0.38/0.60 (define @t68 () (@var "X58" $$unsorted)) % 0.38/0.60 (define @t69 () (@var "X56" $$unsorted)) % 0.38/0.60 (define @t70 () (@var "X63" $$unsorted)) % 0.38/0.60 (define @t71 () (@var "X61" $$unsorted)) % 0.38/0.60 (define @t72 () (@var "X62" $$unsorted)) % 0.38/0.60 (define @t73 () (@var "X60" $$unsorted)) % 0.38/0.60 (define @t74 () (@var "X67" $$unsorted)) % 0.38/0.60 (define @t75 () (@var "X65" $$unsorted)) % 0.38/0.60 (define @t76 () (@var "X66" $$unsorted)) % 0.38/0.60 (define @t77 () (@var "X64" $$unsorted)) % 0.38/0.60 (define @t78 () (tptp.f16 @t6)) % 0.38/0.60 (define @t79 () (tptp.f17 (tptp.f16 @t28))) % 0.38/0.60 (define @t80 () (tptp.p3 tptp.c26 (tptp.f13 (tptp.f15 @t79 tptp.c28) (tptp.f13 (tptp.f15 @t78 tptp.c30) (tptp.f14 (tptp.f16 tptp.c27) (tptp.f15 @t78 tptp.c25)))))) % 0.38/0.60 (define @t81 () (@var "X21" $$unsorted)) % 0.38/0.60 (define @t82 () (@var "X23" $$unsorted)) % 0.38/0.60 (define @t83 () (@var "X24" $$unsorted)) % 0.38/0.60 (define @t84 () (@var "X22" $$unsorted)) % 0.38/0.60 (define @t85 () (@var "X18" $$unsorted)) % 0.38/0.60 (define @t86 () (not (tptp.p3 @t85 (tptp.f13 (tptp.f15 @t79 @t84) (tptp.f13 (tptp.f15 @t78 @t83) (tptp.f14 (tptp.f16 @t82) (tptp.f15 @t78 @t81))))))) % 0.38/0.60 (define @t87 () (@var "X20" $$unsorted)) % 0.38/0.60 (define @t88 () (not (tptp.p21 @t82 (tptp.f12 @t6 @t87)))) % 0.38/0.60 (define @t89 () (not (tptp.p21 @t84 @t6))) % 0.38/0.60 (define @t90 () (tptp.f9 tptp.c29)) % 0.38/0.60 (define @t91 () (not (tptp.p4 @t83 @t90))) % 0.38/0.60 (define @t92 () (@var "X19" $$unsorted)) % 0.38/0.60 (define @t93 () (tptp.f7 @t92 (tptp.f8 @t87 @t81))) % 0.38/0.60 (define @t94 () (tptp.p4 (tptp.f5 @t93 @t85) @t82)) % 0.38/0.60 (define @t95 () (tptp.p4 (tptp.f19 @t93 @t85) @t83)) % 0.38/0.60 (define @t96 () (@list @t92 @t87 @t81 @t85 @t83 @t84 @t82)) % 0.38/0.60 (define @t97 () (tptp.p4 (tptp.f20 @t93 @t85) @t84)) % 0.38/0.60 (define @t98 () (tptp.p3 @t85 (tptp.f16 @t90))) % 0.38/0.60 (define @t99 () (not (tptp.p22 (tptp.f12 @t6 (tptp.f18 @t87 @t28)) @t82))) % 0.38/0.60 (define @t100 () (forall (@list @t92 @t87 @t81 @t85 @t82 @t84 @t83) (or @t94 @t89 @t88 @t99 @t86))) % 0.38/0.60 (define @t101 () (not @t80)) % 0.38/0.60 (define @t102 () (not @t29)) % 0.38/0.60 (define @t103 () (not @t8)) % 0.38/0.60 (define @t104 () (not @t7)) % 0.38/0.60 (define @t105 () (or @t19 @t104 @t103 @t102 @t101)) % 0.38/0.60 (define @t106 () (not @t105)) % 0.38/0.60 (assume @p1 (forall (@list @t1) (tptp.p2 @t1 @t1))) % 0.38/0.60 (assume @p2 (forall (@list @t2) (tptp.p6 @t2 @t2))) % 0.38/0.60 (assume @p3 (forall (@list @t3) (tptp.p4 @t3 @t3))) % 0.38/0.60 (assume @p4 (forall (@list @t4) (tptp.p3 @t4 @t4))) % 0.38/0.60 (assume @p5 @t7) % 0.38/0.60 (assume @p6 @t8) % 0.38/0.60 (assume @p7 (forall (@list @t10 @t9) (or (tptp.p4 (tptp.f9 @t10) (tptp.f9 @t9)) (not (tptp.p4 @t10 @t9))))) % 0.38/0.60 (assume @p8 (forall (@list @t12 @t11) (or (tptp.p3 (tptp.f16 @t12) (tptp.f16 @t11)) (not (tptp.p4 @t12 @t11))))) % 0.38/0.60 (assume @p9 (forall (@list @t14 @t13) (or (tptp.p3 (tptp.f17 @t14) (tptp.f17 @t13)) (not (tptp.p3 @t14 @t13))))) % 0.38/0.60 (assume @p10 (forall (@list @t16 @t15) (or (tptp.p4 (tptp.f10 @t16) (tptp.f10 @t15)) (not (tptp.p4 @t16 @t15))))) % 0.38/0.60 (assume @p11 (forall (@list @t18 @t17) (or (tptp.p4 (tptp.f11 @t18) (tptp.f11 @t17)) (not (tptp.p4 @t18 @t17))))) % 0.38/0.60 (assume @p12 (not @t19)) % 0.38/0.60 (assume @p13 (forall (@list @t21 @t20 @t1) (or (tptp.p2 @t21 @t20) (not (tptp.p2 @t1 @t21)) (not (tptp.p2 @t1 @t20))))) % 0.38/0.60 (assume @p14 (forall (@list @t23 @t22 @t2) (or (tptp.p6 @t23 @t22) (not (tptp.p6 @t2 @t23)) (not (tptp.p6 @t2 @t22))))) % 0.38/0.60 (assume @p15 (forall (@list @t25 @t24 @t3) (or (tptp.p4 @t25 @t24) (not (tptp.p4 @t3 @t25)) (not (tptp.p4 @t3 @t24))))) % 0.38/0.60 (assume @p16 (forall (@list @t27 @t26 @t4) (or (tptp.p3 @t27 @t26) (not (tptp.p3 @t4 @t27)) (not (tptp.p3 @t4 @t26))))) % 0.38/0.60 (assume @p17 @t29) % 0.38/0.60 (assume @p18 (forall (@list @t33 @t32 @t31 @t30) (or (tptp.p21 @t33 @t32) (not (tptp.p4 @t31 @t33)) (not (tptp.p4 @t30 @t32)) (not (tptp.p21 @t31 @t30))))) % 0.38/0.60 (assume @p19 (forall (@list @t37 @t36 @t35 @t34) (or (tptp.p22 @t37 @t36) (not (tptp.p4 @t35 @t37)) (not (tptp.p4 @t34 @t36)) (not (tptp.p22 @t35 @t34))))) % 0.38/0.60 (assume @p20 (forall (@list @t39 @t41 @t38 @t40) (or (tptp.p6 (tptp.f8 @t39 @t41) (tptp.f8 @t38 @t40)) (not (tptp.p4 @t41 @t40)) (not (tptp.p4 @t39 @t38))))) % 0.38/0.60 (assume @p21 (forall (@list @t45 @t43 @t44 @t42) (or (tptp.p2 (tptp.f7 @t45 @t43) (tptp.f7 @t44 @t42)) (not (tptp.p4 @t45 @t44)) (not (tptp.p6 @t43 @t42))))) % 0.38/0.60 (assume @p22 (forall (@list @t49 @t47 @t48 @t46) (or (tptp.p3 (tptp.f13 @t49 @t47) (tptp.f13 @t48 @t46)) (not (tptp.p3 @t49 @t48)) (not (tptp.p3 @t47 @t46))))) % 0.38/0.60 (assume @p23 (forall (@list @t53 @t51 @t52 @t50) (or (tptp.p3 (tptp.f14 @t53 @t51) (tptp.f14 @t52 @t50)) (not (tptp.p3 @t53 @t52)) (not (tptp.p3 @t51 @t50))))) % 0.38/0.60 (assume @p24 (forall (@list @t57 @t55 @t56 @t54) (or (tptp.p3 (tptp.f15 @t57 @t55) (tptp.f15 @t56 @t54)) (not (tptp.p3 @t57 @t56)) (not (tptp.p4 @t55 @t54))))) % 0.38/0.60 (assume @p25 (forall (@list @t61 @t59 @t60 @t58) (or (tptp.p4 (tptp.f12 @t61 @t59) (tptp.f12 @t60 @t58)) (not (tptp.p4 @t61 @t60)) (not (tptp.p4 @t59 @t58))))) % 0.38/0.60 (assume @p26 (forall (@list @t65 @t63 @t64 @t62) (or (tptp.p4 (tptp.f18 @t65 @t63) (tptp.f18 @t64 @t62)) (not (tptp.p4 @t65 @t64)) (not (tptp.p4 @t63 @t62))))) % 0.38/0.60 (assume @p27 (forall (@list @t69 @t67 @t68 @t66) (or (tptp.p4 (tptp.f19 @t69 @t67) (tptp.f19 @t68 @t66)) (not (tptp.p2 @t69 @t68)) (not (tptp.p3 @t67 @t66))))) % 0.38/0.60 (assume @p28 (forall (@list @t73 @t71 @t72 @t70) (or (tptp.p4 (tptp.f20 @t73 @t71) (tptp.f20 @t72 @t70)) (not (tptp.p2 @t73 @t72)) (not (tptp.p3 @t71 @t70))))) % 0.38/0.60 (assume @p29 (forall (@list @t77 @t75 @t76 @t74) (or (tptp.p4 (tptp.f5 @t77 @t75) (tptp.f5 @t76 @t74)) (not (tptp.p2 @t77 @t76)) (not (tptp.p3 @t75 @t74))))) % 0.38/0.60 (assume @p30 @t80) % 0.38/0.60 (assume @p31 (forall (@list @t92 @t87 @t81 @t85 @t82 @t83 @t84) (or @t94 @t91 @t89 @t88 @t86))) % 0.38/0.60 (assume @p32 (forall @t96 (or @t95 @t91 @t89 @t88 @t86))) % 0.38/0.60 (assume @p33 (forall (@list @t85 @t92 @t87 @t81 @t84 @t83 @t82) (or @t98 @t97 @t91 @t89 @t88 @t86))) % 0.38/0.60 (assume @p34 @t100) % 0.38/0.60 (assume @p35 (forall @t96 (or @t95 @t89 @t88 @t99 @t86))) % 0.38/0.60 (assume @p36 (forall (@list @t85 @t92 @t87 @t81 @t84 @t82 @t83) (or @t98 @t97 @t89 @t88 @t99 @t86))) % 0.38/0.60 (step @p37 :rule cnf_or_pos :args (@t105)) % 0.38/0.60 (step @p38 :rule reordering :premises (@p37) :args ((or @t19 @t104 @t103 @t102 @t101 @t106))) % 0.38/0.60 (step @p39 :rule chain_m_resolution :premises (@p38 @p12 @p5 @p6 @p17 @p30) :args (@t106 (@list true false false false false) (@list @t19 @t7 @t8 @t29 @t80))) % 0.38/0.60 (assume-push @p46 @t100) % 0.38/0.60 (step @p41 :rule instantiate :premises (@p34) :args ((@list tptp.c23 tptp.c24 tptp.c25 tptp.c26 tptp.c27 tptp.c28 tptp.c30))) % 0.38/0.60 (step-pop @p47 :rule scope :premises (@p41)) % 0.38/0.60 (step @p42 :rule process_scope :premises (@p47) :args (@t105)) % 0.38/0.60 (step @p44 :rule implies_elim :premises (@p42)) % 0.38/0.60 (step @p45 false :rule chain_m_resolution :premises (@p44 @p39 @p34) :args (false (@list true false) (@list @t105 @t100))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------