%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN646-1 : 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 : n009.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 09:09:34 AM UTC 2026 % Result : Unsatisfiable 29.04s 29.26s % Output : Proof 29.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN646-1 : TPTP v9.2.1. Released v2.5.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.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 23:32:59 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.42/15.68 --- Run --no-e-matching --full-saturate-quant at 6... % 21.53/21.72 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.54/27.76 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 29.04/29.26 % SZS status Unsatisfiable % 29.04/29.26 % SZS output start Proof % 29.04/29.27 ( % 29.04/29.27 (declare-sort $$unsorted 0) % 29.04/29.27 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 29.04/29.27 (declare-const tptp.p20 (-> $$unsorted $$unsorted Bool)) % 29.04/29.27 (declare-const tptp.f14 (-> $$unsorted $$unsorted)) % 29.04/29.27 (declare-const tptp.f12 (-> $$unsorted $$unsorted)) % 29.04/29.27 (declare-const tptp.f11 (-> $$unsorted $$unsorted)) % 29.04/29.27 (declare-const tptp.f13 (-> $$unsorted $$unsorted)) % 29.04/29.27 (declare-const tptp.c22 $$unsorted) % 29.04/29.27 (declare-const tptp.p18 (-> $$unsorted Bool)) % 29.04/29.27 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 29.04/29.27 (declare-const tptp.f8 (-> $$unsorted $$unsorted)) % 29.04/29.27 (declare-const tptp.p21 (-> $$unsorted $$unsorted Bool)) % 29.04/29.27 (declare-const tptp.p10 (-> $$unsorted $$unsorted Bool)) % 29.04/29.27 (declare-const tptp.f15 (-> $$unsorted $$unsorted)) % 29.04/29.27 (declare-const tptp.c25 $$unsorted) % 29.04/29.27 (declare-const tptp.p4 (-> $$unsorted $$unsorted Bool)) % 29.04/29.27 (declare-const tptp.f9 (-> $$unsorted $$unsorted)) % 29.04/29.27 (declare-const tptp.c24 $$unsorted) % 29.04/29.27 (declare-const tptp.p3 (-> $$unsorted $$unsorted Bool)) % 29.04/29.27 (declare-const tptp.p16 (-> $$unsorted $$unsorted Bool)) % 29.04/29.27 (declare-const tptp.c23 $$unsorted) % 29.04/29.27 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 29.04/29.27 (declare-const tptp.p19 (-> $$unsorted $$unsorted Bool)) % 29.04/29.27 (declare-const tptp.f17 (-> $$unsorted $$unsorted)) % 29.04/29.27 (declare-const tptp.f7 (-> $$unsorted $$unsorted)) % 29.04/29.27 (define @t1 () (@var "X0" $$unsorted)) % 29.04/29.27 (define @t2 () (@var "X48" $$unsorted)) % 29.04/29.27 (define @t3 () (@var "X41" $$unsorted)) % 29.04/29.27 (define @t4 () (@var "X16" $$unsorted)) % 29.04/29.27 (define @t5 () (forall (@list @t4) (tptp.p2 @t4 @t4))) % 29.04/29.27 (define @t6 () (@var "X5" $$unsorted)) % 29.04/29.27 (define @t7 () (tptp.f17 tptp.c22)) % 29.04/29.27 (define @t8 () (tptp.p21 (tptp.f17 tptp.c25) @t7)) % 29.04/29.27 (define @t9 () (tptp.f7 tptp.c24)) % 29.04/29.27 (define @t10 () (tptp.f11 tptp.c22)) % 29.04/29.27 (define @t11 () (tptp.p2 (tptp.f12 @t10) @t9)) % 29.04/29.27 (define @t12 () (tptp.f11 tptp.c25)) % 29.04/29.27 (define @t13 () (tptp.p2 (tptp.f12 @t12) @t9)) % 29.04/29.27 (define @t14 () (tptp.f11 tptp.c23)) % 29.04/29.27 (define @t15 () (tptp.f14 @t10)) % 29.04/29.27 (define @t16 () (tptp.f14 @t12)) % 29.04/29.27 (define @t17 () (tptp.p20 @t16 @t15)) % 29.04/29.27 (define @t18 () (tptp.f14 @t14)) % 29.04/29.27 (define @t19 () (tptp.f13 @t10)) % 29.04/29.27 (define @t20 () (tptp.f13 @t14)) % 29.04/29.27 (define @t21 () (tptp.p2 @t20 @t19)) % 29.04/29.27 (define @t22 () (@var "X10" $$unsorted)) % 29.04/29.27 (define @t23 () (@var "X11" $$unsorted)) % 29.04/29.27 (define @t24 () (@var "X52" $$unsorted)) % 29.04/29.27 (define @t25 () (@var "X51" $$unsorted)) % 29.04/29.27 (define @t26 () (@var "X4" $$unsorted)) % 29.04/29.27 (define @t27 () (@var "X3" $$unsorted)) % 29.04/29.27 (define @t28 () (@var "X9" $$unsorted)) % 29.04/29.27 (define @t29 () (@var "X8" $$unsorted)) % 29.04/29.27 (define @t30 () (@var "X20" $$unsorted)) % 29.04/29.27 (define @t31 () (@var "X19" $$unsorted)) % 29.04/29.27 (define @t32 () (@var "X22" $$unsorted)) % 29.04/29.27 (define @t33 () (@var "X21" $$unsorted)) % 29.04/29.27 (define @t34 () (@var "X24" $$unsorted)) % 29.04/29.27 (define @t35 () (@var "X23" $$unsorted)) % 29.04/29.27 (define @t36 () (@var "X26" $$unsorted)) % 29.04/29.27 (define @t37 () (@var "X25" $$unsorted)) % 29.04/29.27 (define @t38 () (@var "X28" $$unsorted)) % 29.04/29.27 (define @t39 () (@var "X27" $$unsorted)) % 29.04/29.27 (define @t40 () (@var "X30" $$unsorted)) % 29.04/29.27 (define @t41 () (@var "X29" $$unsorted)) % 29.04/29.27 (define @t42 () (@var "X2" $$unsorted)) % 29.04/29.27 (define @t43 () (@var "X1" $$unsorted)) % 29.04/29.27 (define @t44 () (@var "X50" $$unsorted)) % 29.04/29.27 (define @t45 () (@var "X49" $$unsorted)) % 29.04/29.27 (define @t46 () (@var "X43" $$unsorted)) % 29.04/29.27 (define @t47 () (@var "X42" $$unsorted)) % 29.04/29.27 (define @t48 () (@var "X18" $$unsorted)) % 29.04/29.27 (define @t49 () (@var "X17" $$unsorted)) % 29.04/29.27 (define @t50 () (@var "X7" $$unsorted)) % 29.04/29.27 (define @t51 () (@var "X6" $$unsorted)) % 29.04/29.27 (define @t52 () (@var "X15" $$unsorted)) % 29.04/29.27 (define @t53 () (@var "X14" $$unsorted)) % 29.04/29.27 (define @t54 () (@var "X13" $$unsorted)) % 29.04/29.27 (define @t55 () (@var "X12" $$unsorted)) % 29.04/29.27 (define @t56 () (@var "X35" $$unsorted)) % 29.04/29.27 (define @t57 () (@var "X37" $$unsorted)) % 29.04/29.27 (define @t58 () (@var "X38" $$unsorted)) % 29.04/29.27 (define @t59 () (@var "X36" $$unsorted)) % 29.04/29.27 (define @t60 () (@var "X31" $$unsorted)) % 29.04/29.27 (define @t61 () (@var "X33" $$unsorted)) % 29.04/29.27 (define @t62 () (@var "X34" $$unsorted)) % 29.04/29.27 (define @t63 () (@var "X32" $$unsorted)) % 29.04/29.27 (define @t64 () (@var "X56" $$unsorted)) % 29.04/29.27 (define @t65 () (@var "X54" $$unsorted)) % 29.04/29.27 (define @t66 () (@var "X55" $$unsorted)) % 29.04/29.27 (define @t67 () (@var "X53" $$unsorted)) % 29.04/29.27 (define @t68 () (@var "X47" $$unsorted)) % 29.04/29.27 (define @t69 () (@var "X45" $$unsorted)) % 29.04/29.27 (define @t70 () (@var "X46" $$unsorted)) % 29.04/29.27 (define @t71 () (@var "X44" $$unsorted)) % 29.04/29.27 (define @t72 () (tptp.f9 (tptp.f8 tptp.c24))) % 29.04/29.27 (define @t73 () (tptp.f7 (tptp.f8 (tptp.f9 (tptp.f8 (tptp.f9 (tptp.f9 (tptp.f9 @t72)))))))) % 29.04/29.27 (define @t74 () (tptp.p2 @t20 @t73)) % 29.04/29.27 (define @t75 () (tptp.f13 @t12)) % 29.04/29.27 (define @t76 () (tptp.p2 @t75 @t73)) % 29.04/29.27 (define @t77 () (@var "X40" $$unsorted)) % 29.04/29.27 (define @t78 () (tptp.f11 @t77)) % 29.04/29.27 (define @t79 () (tptp.f13 @t78)) % 29.04/29.27 (define @t80 () (@var "X39" $$unsorted)) % 29.04/29.27 (define @t81 () (tptp.f11 @t80)) % 29.04/29.27 (define @t82 () (tptp.f13 @t81)) % 29.04/29.27 (define @t83 () (not (tptp.p2 (tptp.f12 @t81) @t9))) % 29.04/29.27 (define @t84 () (not (tptp.p2 (tptp.f12 @t78) @t9))) % 29.04/29.27 (define @t85 () (tptp.p21 (tptp.f17 @t80) (tptp.f17 @t77))) % 29.04/29.27 (define @t86 () (@list @t80 @t77)) % 29.04/29.27 (define @t87 () (tptp.f9 (tptp.f8 (tptp.f9 (tptp.f9 (tptp.f9 (tptp.f8 (tptp.f8 (tptp.f9 (tptp.f8 (tptp.f9 (tptp.f8 (tptp.f9 (tptp.f8 (tptp.f8 (tptp.f8 @t72)))))))))))))))) % 29.04/29.27 (define @t88 () (tptp.f7 (tptp.f8 (tptp.f8 (tptp.f8 (tptp.f8 (tptp.f9 @t87))))))) % 29.04/29.27 (define @t89 () (tptp.f7 (tptp.f9 (tptp.f9 (tptp.f9 (tptp.f9 (tptp.f8 @t87))))))) % 29.04/29.27 (define @t90 () (tptp.f5 @t9 (tptp.f6 @t73 @t89))) % 29.04/29.27 (define @t91 () (tptp.f5 @t9 (tptp.f6 @t73 @t88))) % 29.04/29.27 (define @t92 () (tptp.p2 @t75 @t75)) % 29.04/29.27 (define @t93 () (not @t92)) % 29.04/29.27 (define @t94 () (not @t76)) % 29.04/29.27 (define @t95 () (tptp.p2 @t73 @t75)) % 29.04/29.27 (define @t96 () (or @t95 @t94 @t93)) % 29.04/29.27 (define @t97 () (not @t17)) % 29.04/29.27 (define @t98 () (tptp.p2 @t75 @t19)) % 29.04/29.27 (define @t99 () (not @t98)) % 29.04/29.27 (define @t100 () (not @t11)) % 29.04/29.27 (define @t101 () (not @t13)) % 29.04/29.27 (define @t102 () (or @t8 @t101 @t100 @t99 @t97)) % 29.04/29.27 (define @t103 () (not @t21)) % 29.04/29.27 (define @t104 () (tptp.p2 @t20 @t75)) % 29.04/29.27 (define @t105 () (not @t104)) % 29.04/29.27 (define @t106 () (or @t98 @t105 @t103)) % 29.04/29.27 (define @t107 () (@list false true false)) % 29.04/29.27 (define @t108 () (not @t95)) % 29.04/29.27 (define @t109 () (tptp.p2 @t73 @t20)) % 29.04/29.27 (define @t110 () (not @t109)) % 29.04/29.27 (define @t111 () (or @t104 @t110 @t108)) % 29.04/29.27 (define @t112 () (tptp.p2 @t20 @t20)) % 29.04/29.27 (define @t113 () (not @t112)) % 29.04/29.27 (define @t114 () (not @t74)) % 29.04/29.27 (define @t115 () (or @t109 @t114 @t113)) % 29.04/29.27 (assume @p1 (tptp.p18 tptp.c22)) % 29.04/29.27 (assume @p2 (forall (@list @t1) (tptp.p10 @t1 @t1))) % 29.04/29.27 (assume @p3 (forall (@list @t2) (tptp.p4 @t2 @t2))) % 29.04/29.27 (assume @p4 (forall (@list @t3) (tptp.p3 @t3 @t3))) % 29.04/29.27 (assume @p5 @t5) % 29.04/29.27 (assume @p6 (forall (@list @t6) (tptp.p16 @t6 @t6))) % 29.04/29.27 (assume @p7 (not @t8)) % 29.04/29.27 (assume @p8 (not (tptp.p21 @t7 (tptp.f17 tptp.c23)))) % 29.04/29.27 (assume @p9 @t11) % 29.04/29.27 (assume @p10 @t13) % 29.04/29.27 (assume @p11 (tptp.p2 (tptp.f12 @t14) @t9)) % 29.04/29.27 (assume @p12 @t17) % 29.04/29.27 (assume @p13 (tptp.p19 @t18 @t15)) % 29.04/29.27 (assume @p14 @t21) % 29.04/29.27 (assume @p15 (forall (@list @t22 @t23) (or (tptp.p18 @t22) (not (tptp.p18 @t23)) (not (tptp.p10 @t23 @t22))))) % 29.04/29.27 (assume @p16 (forall (@list @t25 @t24) (or (tptp.p4 (tptp.f11 @t25) (tptp.f11 @t24)) (not (tptp.p10 @t25 @t24))))) % 29.04/29.27 (assume @p17 (forall (@list @t27 @t26) (or (tptp.p10 (tptp.f15 @t27) (tptp.f15 @t26)) (not (tptp.p4 @t27 @t26))))) % 29.04/29.27 (assume @p18 (forall (@list @t29 @t28) (or (tptp.p16 (tptp.f17 @t29) (tptp.f17 @t28)) (not (tptp.p10 @t29 @t28))))) % 29.04/29.27 (assume @p19 (forall (@list @t31 @t30) (or (tptp.p2 (tptp.f12 @t31) (tptp.f12 @t30)) (not (tptp.p4 @t31 @t30))))) % 29.04/29.27 (assume @p20 (forall (@list @t33 @t32) (or (tptp.p2 (tptp.f13 @t33) (tptp.f13 @t32)) (not (tptp.p4 @t33 @t32))))) % 29.04/29.27 (assume @p21 (forall (@list @t35 @t34) (or (tptp.p2 (tptp.f14 @t35) (tptp.f14 @t34)) (not (tptp.p4 @t35 @t34))))) % 29.04/29.27 (assume @p22 (forall (@list @t37 @t36) (or (tptp.p2 (tptp.f7 @t37) (tptp.f7 @t36)) (not (tptp.p2 @t37 @t36))))) % 29.04/29.27 (assume @p23 (forall (@list @t39 @t38) (or (tptp.p2 (tptp.f8 @t39) (tptp.f8 @t38)) (not (tptp.p2 @t39 @t38))))) % 29.04/29.27 (assume @p24 (forall (@list @t41 @t40) (or (tptp.p2 (tptp.f9 @t41) (tptp.f9 @t40)) (not (tptp.p2 @t41 @t40))))) % 29.04/29.27 (assume @p25 (forall (@list @t43 @t42 @t1) (or (tptp.p10 @t43 @t42) (not (tptp.p10 @t1 @t43)) (not (tptp.p10 @t1 @t42))))) % 29.04/29.27 (assume @p26 (forall (@list @t45 @t44 @t2) (or (tptp.p4 @t45 @t44) (not (tptp.p4 @t2 @t45)) (not (tptp.p4 @t2 @t44))))) % 29.04/29.27 (assume @p27 (forall (@list @t47 @t46 @t3) (or (tptp.p3 @t47 @t46) (not (tptp.p3 @t3 @t47)) (not (tptp.p3 @t3 @t46))))) % 29.04/29.27 (assume @p28 (forall (@list @t49 @t48 @t4) (or (tptp.p2 @t49 @t48) (not (tptp.p2 @t4 @t49)) (not (tptp.p2 @t4 @t48))))) % 29.04/29.27 (assume @p29 (forall (@list @t51 @t50 @t6) (or (tptp.p16 @t51 @t50) (not (tptp.p16 @t6 @t51)) (not (tptp.p16 @t6 @t50))))) % 29.04/29.27 (assume @p30 (forall (@list @t55 @t54 @t53 @t52) (or (tptp.p19 @t55 @t54) (not (tptp.p2 @t53 @t55)) (not (tptp.p2 @t52 @t54)) (not (tptp.p19 @t53 @t52))))) % 29.04/29.27 (assume @p31 (forall (@list @t56 @t59 @t58 @t57) (or (tptp.p21 @t56 @t59) (not (tptp.p16 @t58 @t59)) (not (tptp.p21 @t57 @t58)) (not (tptp.p16 @t57 @t56))))) % 29.04/29.27 (assume @p32 (forall (@list @t60 @t63 @t62 @t61) (or (tptp.p20 @t60 @t63) (not (tptp.p2 @t62 @t63)) (not (tptp.p20 @t61 @t62)) (not (tptp.p2 @t61 @t60))))) % 29.04/29.27 (assume @p33 (forall (@list @t67 @t65 @t66 @t64) (or (tptp.p4 (tptp.f5 @t67 @t65) (tptp.f5 @t66 @t64)) (not (tptp.p2 @t67 @t66)) (not (tptp.p3 @t65 @t64))))) % 29.04/29.27 (assume @p34 (forall (@list @t71 @t69 @t70 @t68) (or (tptp.p3 (tptp.f6 @t71 @t69) (tptp.f6 @t70 @t68)) (not (tptp.p2 @t71 @t70)) (not (tptp.p2 @t69 @t68))))) % 29.04/29.27 (assume @p35 @t74) % 29.04/29.27 (assume @p36 @t76) % 29.04/29.27 (assume @p37 (forall @t86 (or @t85 @t84 @t83 (not (tptp.p19 @t82 @t79))))) % 29.04/29.27 (assume @p38 (tptp.p2 @t18 @t88)) % 29.04/29.27 (assume @p39 (tptp.p2 @t16 @t89)) % 29.04/29.27 (assume @p40 (forall @t86 (or @t85 @t83 @t84 (not (tptp.p2 @t82 @t79)) (not (tptp.p20 (tptp.f14 @t81) (tptp.f14 @t78)))))) % 29.04/29.27 (assume @p41 (tptp.p4 @t12 @t90)) % 29.04/29.27 (assume @p42 (tptp.p4 @t14 @t91)) % 29.04/29.27 (assume @p43 (tptp.p10 (tptp.f15 @t91) tptp.c23)) % 29.04/29.27 (assume @p44 (tptp.p10 (tptp.f15 @t90) tptp.c25)) % 29.04/29.27 (step @p45 :rule instantiate :premises (@p28) :args ((@list @t73 @t20 @t20))) % 29.04/29.27 (step @p46 :rule instantiate :premises (@p28) :args ((@list @t20 @t75 @t73))) % 29.04/29.27 (step @p47 :rule instantiate :premises (@p28) :args ((@list @t73 @t75 @t75))) % 29.04/29.27 (step @p48 :rule instantiate :premises (@p5) :args ((@list @t75))) % 29.04/29.27 (step @p49 :rule cnf_or_pos :args (@t96)) % 29.04/29.27 (step @p50 :rule reordering :premises (@p49) :args ((or @t94 @t93 @t95 (not @t96)))) % 29.04/29.27 (step @p51 :rule chain_m_resolution :premises (@p50 @p36 @p48 @p47) :args (@t95 (@list false false false) (@list @t76 @t92 @t96))) % 29.04/29.27 (step @p52 :rule instantiate :premises (@p28) :args ((@list @t75 @t19 @t20))) % 29.04/29.27 (step @p53 :rule instantiate :premises (@p40) :args ((@list tptp.c25 tptp.c22))) % 29.04/29.27 (step @p54 :rule cnf_or_pos :args (@t102)) % 29.04/29.27 (step @p55 :rule reordering :premises (@p54) :args ((or @t8 @t100 @t101 @t97 @t99 (not @t102)))) % 29.04/29.27 (step @p56 :rule chain_m_resolution :premises (@p55 @p7 @p9 @p10 @p12 @p53) :args (@t99 (@list true false false false false) (@list @t8 @t11 @t13 @t17 @t102))) % 29.04/29.27 (step @p57 :rule cnf_or_pos :args (@t106)) % 29.04/29.27 (step @p58 :rule reordering :premises (@p57) :args ((or @t103 @t98 @t105 (not @t106)))) % 29.04/29.27 (step @p59 :rule chain_m_resolution :premises (@p58 @p14 @p56 @p52) :args (@t105 @t107 (@list @t21 @t98 @t106))) % 29.04/29.27 (step @p60 :rule cnf_or_pos :args (@t111)) % 29.04/29.27 (step @p61 :rule reordering :premises (@p60) :args ((or @t104 @t108 @t110 (not @t111)))) % 29.04/29.27 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p51 @p46) :args (@t110 (@list true false false) (@list @t104 @t95 @t111))) % 29.04/29.27 (step @p63 :rule cnf_or_pos :args (@t115)) % 29.04/29.27 (step @p64 :rule reordering :premises (@p63) :args ((or @t114 @t109 @t113 (not @t115)))) % 29.04/29.27 (step @p65 :rule chain_m_resolution :premises (@p64 @p35 @p62 @p45) :args (@t113 @t107 (@list @t74 @t109 @t115))) % 29.04/29.27 (assume-push @p72 @t5) % 29.04/29.27 (step @p67 :rule instantiate :premises (@p5) :args ((@list @t20))) % 29.04/29.27 (step-pop @p73 :rule scope :premises (@p67)) % 29.04/29.27 (step @p68 :rule process_scope :premises (@p73) :args (@t112)) % 29.04/29.27 (step @p70 :rule implies_elim :premises (@p68)) % 29.04/29.27 (step @p71 false :rule chain_m_resolution :premises (@p70 @p65 @p5) :args (false (@list true false) (@list @t112 @t5))) % 29.04/29.27 ) % 29.04/29.27 % SZS output end Proof % 29.04/29.27 % cvc5 exiting %------------------------------------------------------------------------------