%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN638-1 : 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 : n019.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 09:09:33 AM UTC 2026 % Result : Unsatisfiable 0.48s 0.65s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN638-1 : 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 % 0.19/0.35 % Computer : n019.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 23:33:19 EDT 2026 % 0.19/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.48/0.65 % SZS status Unsatisfiable % 0.48/0.65 % SZS output start Proof % 0.48/0.66 ( % 0.48/0.66 (declare-sort $$unsorted 0) % 0.48/0.66 (declare-const tptp.p23 (-> $$unsorted $$unsorted Bool)) % 0.48/0.66 (declare-const tptp.p24 (-> $$unsorted $$unsorted Bool)) % 0.48/0.66 (declare-const tptp.p22 (-> $$unsorted $$unsorted Bool)) % 0.48/0.66 (declare-const tptp.c29 $$unsorted) % 0.48/0.66 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.66 (declare-const tptp.c26 $$unsorted) % 0.48/0.66 (declare-const tptp.c27 $$unsorted) % 0.48/0.66 (declare-const tptp.f16 (-> $$unsorted $$unsorted)) % 0.48/0.66 (declare-const tptp.p21 (-> $$unsorted $$unsorted Bool)) % 0.48/0.66 (declare-const tptp.f17 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.66 (declare-const tptp.f14 (-> $$unsorted $$unsorted)) % 0.48/0.66 (declare-const tptp.f11 (-> $$unsorted $$unsorted)) % 0.48/0.66 (declare-const tptp.p18 (-> $$unsorted $$unsorted Bool)) % 0.48/0.66 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.66 (declare-const tptp.f15 (-> $$unsorted $$unsorted)) % 0.48/0.66 (declare-const tptp.p4 (-> $$unsorted $$unsorted Bool)) % 0.48/0.66 (declare-const tptp.p3 (-> $$unsorted $$unsorted Bool)) % 0.48/0.66 (declare-const tptp.c28 $$unsorted) % 0.48/0.66 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.48/0.66 (declare-const tptp.c30 $$unsorted) % 0.48/0.66 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.66 (declare-const tptp.c25 $$unsorted) % 0.48/0.66 (declare-const tptp.f19 (-> $$unsorted $$unsorted)) % 0.48/0.66 (declare-const tptp.f12 (-> $$unsorted $$unsorted)) % 0.48/0.66 (declare-const tptp.p7 (-> $$unsorted $$unsorted Bool)) % 0.48/0.66 (declare-const tptp.p20 (-> $$unsorted $$unsorted Bool)) % 0.48/0.66 (declare-const tptp.p6 (-> $$unsorted $$unsorted Bool)) % 0.48/0.66 (declare-const tptp.f13 (-> $$unsorted $$unsorted)) % 0.48/0.66 (declare-const tptp.f10 (-> $$unsorted $$unsorted)) % 0.48/0.66 (define @t1 () (@var "X0" $$unsorted)) % 0.48/0.66 (define @t2 () (@var "X67" $$unsorted)) % 0.48/0.66 (define @t3 () (@var "X52" $$unsorted)) % 0.48/0.66 (define @t4 () (@var "X36" $$unsorted)) % 0.48/0.66 (define @t5 () (@var "X33" $$unsorted)) % 0.48/0.66 (define @t6 () (@var "X5" $$unsorted)) % 0.48/0.66 (define @t7 () (tptp.f10 tptp.c25)) % 0.48/0.66 (define @t8 () (@var "X66" $$unsorted)) % 0.48/0.66 (define @t9 () (@var "X65" $$unsorted)) % 0.48/0.66 (define @t10 () (@var "X4" $$unsorted)) % 0.48/0.66 (define @t11 () (@var "X3" $$unsorted)) % 0.48/0.66 (define @t12 () (@var "X40" $$unsorted)) % 0.48/0.66 (define @t13 () (@var "X39" $$unsorted)) % 0.48/0.66 (define @t14 () (@var "X56" $$unsorted)) % 0.48/0.66 (define @t15 () (@var "X55" $$unsorted)) % 0.48/0.66 (define @t16 () (@var "X58" $$unsorted)) % 0.48/0.66 (define @t17 () (@var "X57" $$unsorted)) % 0.48/0.66 (define @t18 () (@var "X60" $$unsorted)) % 0.48/0.66 (define @t19 () (@var "X59" $$unsorted)) % 0.48/0.66 (define @t20 () (@var "X62" $$unsorted)) % 0.48/0.66 (define @t21 () (@var "X61" $$unsorted)) % 0.48/0.66 (define @t22 () (@var "X64" $$unsorted)) % 0.48/0.66 (define @t23 () (@var "X63" $$unsorted)) % 0.48/0.66 (define @t24 () (tptp.f5 tptp.c25 tptp.c26 tptp.c27)) % 0.48/0.66 (define @t25 () (@var "X2" $$unsorted)) % 0.48/0.66 (define @t26 () (@var "X1" $$unsorted)) % 0.48/0.66 (define @t27 () (@var "X69" $$unsorted)) % 0.48/0.66 (define @t28 () (@var "X68" $$unsorted)) % 0.48/0.66 (define @t29 () (@var "X54" $$unsorted)) % 0.48/0.66 (define @t30 () (@var "X53" $$unsorted)) % 0.48/0.66 (define @t31 () (@var "X38" $$unsorted)) % 0.48/0.66 (define @t32 () (@var "X37" $$unsorted)) % 0.48/0.66 (define @t33 () (@var "X35" $$unsorted)) % 0.48/0.66 (define @t34 () (@var "X34" $$unsorted)) % 0.48/0.66 (define @t35 () (@var "X7" $$unsorted)) % 0.48/0.66 (define @t36 () (@var "X6" $$unsorted)) % 0.48/0.66 (define @t37 () (@var "X30" $$unsorted)) % 0.48/0.66 (define @t38 () (@var "X31" $$unsorted)) % 0.48/0.66 (define @t39 () (@var "X29" $$unsorted)) % 0.48/0.66 (define @t40 () (@var "X32" $$unsorted)) % 0.48/0.66 (define @t41 () (@var "X15" $$unsorted)) % 0.48/0.66 (define @t42 () (@var "X14" $$unsorted)) % 0.48/0.66 (define @t43 () (@var "X13" $$unsorted)) % 0.48/0.66 (define @t44 () (@var "X12" $$unsorted)) % 0.48/0.66 (define @t45 () (@var "X19" $$unsorted)) % 0.48/0.66 (define @t46 () (@var "X18" $$unsorted)) % 0.48/0.66 (define @t47 () (@var "X17" $$unsorted)) % 0.48/0.66 (define @t48 () (@var "X16" $$unsorted)) % 0.48/0.66 (define @t49 () (@var "X23" $$unsorted)) % 0.48/0.66 (define @t50 () (@var "X22" $$unsorted)) % 0.48/0.66 (define @t51 () (@var "X21" $$unsorted)) % 0.48/0.66 (define @t52 () (@var "X20" $$unsorted)) % 0.48/0.66 (define @t53 () (forall (@list @t52 @t51 @t50 @t49) (or (tptp.p22 @t52 @t51) (not (tptp.p4 @t50 @t52)) (not (tptp.p4 @t49 @t51)) (not (tptp.p22 @t50 @t49))))) % 0.48/0.66 (define @t54 () (@var "X27" $$unsorted)) % 0.48/0.66 (define @t55 () (@var "X26" $$unsorted)) % 0.48/0.66 (define @t56 () (@var "X25" $$unsorted)) % 0.48/0.66 (define @t57 () (@var "X24" $$unsorted)) % 0.48/0.66 (define @t58 () (@var "X11" $$unsorted)) % 0.48/0.66 (define @t59 () (@var "X9" $$unsorted)) % 0.48/0.66 (define @t60 () (@var "X10" $$unsorted)) % 0.48/0.66 (define @t61 () (@var "X8" $$unsorted)) % 0.48/0.66 (define @t62 () (@var "X73" $$unsorted)) % 0.48/0.66 (define @t63 () (@var "X71" $$unsorted)) % 0.48/0.66 (define @t64 () (@var "X72" $$unsorted)) % 0.48/0.66 (define @t65 () (@var "X70" $$unsorted)) % 0.48/0.66 (define @t66 () (@var "X44" $$unsorted)) % 0.48/0.66 (define @t67 () (@var "X42" $$unsorted)) % 0.48/0.66 (define @t68 () (@var "X43" $$unsorted)) % 0.48/0.66 (define @t69 () (@var "X41" $$unsorted)) % 0.48/0.66 (define @t70 () (tptp.f8 (tptp.f11 tptp.c25) (tptp.f9 @t7 tptp.c28))) % 0.48/0.66 (define @t71 () (tptp.f5 @t70 tptp.c26 tptp.c27)) % 0.48/0.66 (define @t72 () (@var "X28" $$unsorted)) % 0.48/0.66 (define @t73 () (not (tptp.p24 @t72 (tptp.f19 @t70)))) % 0.48/0.66 (define @t74 () (tptp.p23 @t72 tptp.c29)) % 0.48/0.66 (define @t75 () (tptp.p23 @t72 tptp.c27)) % 0.48/0.66 (define @t76 () (@list @t72)) % 0.48/0.66 (define @t77 () (tptp.p23 tptp.c29 @t72)) % 0.48/0.66 (define @t78 () (tptp.p23 tptp.c27 @t72)) % 0.48/0.66 (define @t79 () (@var "X48" $$unsorted)) % 0.48/0.66 (define @t80 () (@var "X45" $$unsorted)) % 0.48/0.66 (define @t81 () (@var "X50" $$unsorted)) % 0.48/0.66 (define @t82 () (@var "X47" $$unsorted)) % 0.48/0.66 (define @t83 () (@var "X49" $$unsorted)) % 0.48/0.66 (define @t84 () (@var "X46" $$unsorted)) % 0.48/0.66 (define @t85 () (@var "X51" $$unsorted)) % 0.48/0.66 (define @t86 () (tptp.f16 (tptp.f17 tptp.c27 @t24))) % 0.48/0.66 (define @t87 () (tptp.f17 tptp.c27 @t71)) % 0.48/0.66 (define @t88 () (tptp.f16 @t87)) % 0.48/0.66 (define @t89 () (tptp.p22 @t88 @t86)) % 0.48/0.66 (define @t90 () (tptp.f5 @t70 tptp.c26 tptp.c29)) % 0.48/0.66 (define @t91 () (tptp.f17 tptp.c27 @t90)) % 0.48/0.66 (define @t92 () (tptp.f16 @t91)) % 0.48/0.66 (define @t93 () (tptp.p22 @t92 @t86)) % 0.48/0.66 (define @t94 () (tptp.p4 @t71 @t90)) % 0.48/0.66 (define @t95 () (not @t94)) % 0.48/0.66 (define @t96 () (tptp.p4 tptp.c27 tptp.c27)) % 0.48/0.66 (define @t97 () (not @t96)) % 0.48/0.66 (define @t98 () (tptp.p4 @t87 @t91)) % 0.48/0.66 (define @t99 () (or @t98 @t97 @t95)) % 0.48/0.66 (define @t100 () (not @t98)) % 0.48/0.66 (define @t101 () (tptp.p4 @t88 @t92)) % 0.48/0.66 (define @t102 () (or @t101 @t100)) % 0.48/0.66 (define @t103 () (not @t89)) % 0.48/0.66 (define @t104 () (tptp.p4 @t86 @t86)) % 0.48/0.66 (define @t105 () (not @t104)) % 0.48/0.66 (define @t106 () (not @t101)) % 0.48/0.66 (define @t107 () (or @t93 @t106 @t105 @t103)) % 0.48/0.66 (define @t108 () (not @t107)) % 0.48/0.66 (assume @p1 (forall (@list @t1) (tptp.p18 @t1 @t1))) % 0.48/0.66 (assume @p2 (forall (@list @t2) (tptp.p7 @t2 @t2))) % 0.48/0.66 (assume @p3 (forall (@list @t3) (tptp.p6 @t3 @t3))) % 0.48/0.66 (assume @p4 (forall (@list @t4) (tptp.p4 @t4 @t4))) % 0.48/0.66 (assume @p5 (forall (@list @t5) (tptp.p3 @t5 @t5))) % 0.48/0.66 (assume @p6 (forall (@list @t6) (tptp.p2 @t6 @t6))) % 0.48/0.66 (assume @p7 (tptp.p20 (tptp.f12 tptp.c25) tptp.c28)) % 0.48/0.66 (assume @p8 (not (tptp.p6 @t7 (tptp.f13 tptp.c30)))) % 0.48/0.66 (assume @p9 (tptp.p21 (tptp.f13 (tptp.f14 (tptp.f15 tptp.c30))) @t7)) % 0.48/0.66 (assume @p10 (forall (@list @t9 @t8) (or (tptp.p6 (tptp.f15 @t9) (tptp.f15 @t8)) (not (tptp.p6 @t9 @t8))))) % 0.48/0.66 (assume @p11 (forall (@list @t11 @t10) (or (tptp.p18 (tptp.f19 @t11) (tptp.f19 @t10)) (not (tptp.p2 @t11 @t10))))) % 0.48/0.66 (assume @p12 (forall (@list @t13 @t12) (or (tptp.p4 (tptp.f16 @t13) (tptp.f16 @t12)) (not (tptp.p4 @t13 @t12))))) % 0.48/0.66 (assume @p13 (forall (@list @t15 @t14) (or (tptp.p6 (tptp.f10 @t15) (tptp.f10 @t14)) (not (tptp.p2 @t15 @t14))))) % 0.48/0.66 (assume @p14 (forall (@list @t17 @t16) (or (tptp.p6 (tptp.f11 @t17) (tptp.f11 @t16)) (not (tptp.p2 @t17 @t16))))) % 0.48/0.66 (assume @p15 (forall (@list @t19 @t18) (or (tptp.p6 (tptp.f12 @t19) (tptp.f12 @t18)) (not (tptp.p2 @t19 @t18))))) % 0.48/0.66 (assume @p16 (forall (@list @t21 @t20) (or (tptp.p6 (tptp.f13 @t21) (tptp.f13 @t20)) (not (tptp.p6 @t21 @t20))))) % 0.48/0.66 (assume @p17 (forall (@list @t23 @t22) (or (tptp.p6 (tptp.f14 @t23) (tptp.f14 @t22)) (not (tptp.p6 @t23 @t22))))) % 0.48/0.66 (assume @p18 (tptp.p22 (tptp.f5 tptp.c25 tptp.c26 tptp.c29) @t24)) % 0.48/0.66 (assume @p19 (forall (@list @t26 @t25 @t1) (or (tptp.p18 @t26 @t25) (not (tptp.p18 @t1 @t26)) (not (tptp.p18 @t1 @t25))))) % 0.48/0.66 (assume @p20 (forall (@list @t28 @t27 @t2) (or (tptp.p7 @t28 @t27) (not (tptp.p7 @t2 @t28)) (not (tptp.p7 @t2 @t27))))) % 0.48/0.66 (assume @p21 (forall (@list @t30 @t29 @t3) (or (tptp.p6 @t30 @t29) (not (tptp.p6 @t3 @t30)) (not (tptp.p6 @t3 @t29))))) % 0.48/0.66 (assume @p22 (forall (@list @t32 @t31 @t4) (or (tptp.p4 @t32 @t31) (not (tptp.p4 @t4 @t32)) (not (tptp.p4 @t4 @t31))))) % 0.48/0.66 (assume @p23 (forall (@list @t34 @t33 @t5) (or (tptp.p3 @t34 @t33) (not (tptp.p3 @t5 @t34)) (not (tptp.p3 @t5 @t33))))) % 0.48/0.66 (assume @p24 (forall (@list @t36 @t35 @t6) (or (tptp.p2 @t36 @t35) (not (tptp.p2 @t6 @t36)) (not (tptp.p2 @t6 @t35))))) % 0.48/0.66 (assume @p25 (forall (@list @t39 @t37 @t40 @t38) (or (tptp.p24 @t39 @t37) (not (tptp.p24 @t40 @t38)) (not (tptp.p4 @t40 @t39)) (not (tptp.p18 @t38 @t37))))) % 0.48/0.66 (assume @p26 (forall (@list @t44 @t43 @t42 @t41) (or (tptp.p20 @t44 @t43) (not (tptp.p6 @t42 @t44)) (not (tptp.p6 @t41 @t43)) (not (tptp.p20 @t42 @t41))))) % 0.48/0.66 (assume @p27 (forall (@list @t48 @t47 @t46 @t45) (or (tptp.p21 @t48 @t47) (not (tptp.p6 @t46 @t48)) (not (tptp.p6 @t45 @t47)) (not (tptp.p21 @t46 @t45))))) % 0.48/0.66 (assume @p28 @t53) % 0.48/0.66 (assume @p29 (forall (@list @t57 @t56 @t55 @t54) (or (tptp.p23 @t57 @t56) (not (tptp.p4 @t55 @t57)) (not (tptp.p4 @t54 @t56)) (not (tptp.p23 @t55 @t54))))) % 0.48/0.66 (assume @p30 (forall (@list @t61 @t59 @t60 @t58) (or (tptp.p2 (tptp.f8 @t61 @t59) (tptp.f8 @t60 @t58)) (not (tptp.p6 @t61 @t60)) (not (tptp.p7 @t59 @t58))))) % 0.48/0.66 (assume @p31 (forall (@list @t65 @t63 @t64 @t62) (or (tptp.p7 (tptp.f9 @t65 @t63) (tptp.f9 @t64 @t62)) (not (tptp.p6 @t65 @t64)) (not (tptp.p6 @t63 @t62))))) % 0.48/0.66 (assume @p32 (forall (@list @t69 @t67 @t68 @t66) (or (tptp.p4 (tptp.f17 @t69 @t67) (tptp.f17 @t68 @t66)) (not (tptp.p4 @t69 @t68)) (not (tptp.p4 @t67 @t66))))) % 0.48/0.66 (assume @p33 (not (tptp.p4 @t24 @t71))) % 0.48/0.66 (assume @p34 (forall @t76 (or @t75 (not @t74) @t73))) % 0.48/0.66 (assume @p35 (forall @t76 (or @t74 (not @t75) @t73))) % 0.48/0.66 (assume @p36 (forall @t76 (or @t78 (not @t77) @t73))) % 0.48/0.66 (assume @p37 (forall @t76 (or @t77 (not @t78) @t73))) % 0.48/0.66 (assume @p38 (forall (@list @t80 @t84 @t82 @t79 @t83 @t81) (or (tptp.p4 (tptp.f5 @t80 @t84 @t82) (tptp.f5 @t79 @t83 @t81)) (not (tptp.p3 @t84 @t83)) (not (tptp.p4 @t82 @t81)) (not (tptp.p2 @t80 @t79))))) % 0.48/0.66 (assume @p39 (forall (@list @t85) (tptp.p4 (tptp.f5 @t70 @t85 tptp.c27) (tptp.f5 @t70 @t85 tptp.c29)))) % 0.48/0.66 (assume @p40 @t89) % 0.48/0.66 (assume @p41 (not @t93)) % 0.48/0.66 (step @p42 :rule instantiate :premises (@p12) :args ((@list @t87 @t91))) % 0.48/0.66 (step @p43 :rule instantiate :premises (@p32) :args ((@list tptp.c27 @t71 tptp.c27 @t90))) % 0.48/0.66 (step @p44 :rule instantiate :premises (@p39) :args ((@list tptp.c26))) % 0.48/0.66 (step @p45 :rule instantiate :premises (@p4) :args ((@list tptp.c27))) % 0.48/0.66 (step @p46 :rule cnf_or_pos :args (@t99)) % 0.48/0.66 (step @p47 :rule reordering :premises (@p46) :args ((or @t97 @t95 @t98 (not @t99)))) % 0.48/0.66 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p44 @p43) :args (@t98 (@list false false false) (@list @t96 @t94 @t99))) % 0.48/0.66 (step @p49 :rule cnf_or_pos :args (@t102)) % 0.48/0.66 (step @p50 :rule reordering :premises (@p49) :args ((or @t101 @t100 (not @t102)))) % 0.48/0.66 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p42) :args (@t101 (@list false false) (@list @t98 @t102))) % 0.48/0.66 (step @p52 :rule instantiate :premises (@p4) :args ((@list @t86))) % 0.48/0.66 (step @p53 :rule cnf_or_pos :args (@t107)) % 0.48/0.66 (step @p54 :rule reordering :premises (@p53) :args ((or @t93 @t103 @t105 @t106 @t108))) % 0.48/0.66 (step @p55 :rule chain_m_resolution :premises (@p54 @p41 @p40 @p52 @p51) :args (@t108 (@list true false false false) (@list @t93 @t89 @t104 @t101))) % 0.48/0.66 (assume-push @p62 @t53) % 0.48/0.66 (step @p57 :rule instantiate :premises (@p28) :args ((@list @t92 @t86 @t88 @t86))) % 0.48/0.66 (step-pop @p63 :rule scope :premises (@p57)) % 0.48/0.66 (step @p58 :rule process_scope :premises (@p63) :args (@t107)) % 0.48/0.66 (step @p60 :rule implies_elim :premises (@p58)) % 0.48/0.66 (step @p61 false :rule chain_m_resolution :premises (@p60 @p55 @p28) :args (false (@list true false) (@list @t107 @t53))) % 0.48/0.66 ) % 0.48/0.66 % SZS output end Proof % 0.48/0.66 % cvc5 exiting %------------------------------------------------------------------------------