%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN623-1 : 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 : n008.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 09:09:31 AM UTC 2026 % Result : Unsatisfiable 0.53s 0.72s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN623-1 : 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 % 0.18/0.34 % Computer : n008.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:33:03 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.72 % SZS status Unsatisfiable % 0.53/0.72 % SZS output start Proof % 0.53/0.72 ( % 0.53/0.72 (declare-sort $$unsorted 0) % 0.53/0.72 (declare-const tptp.c28 $$unsorted) % 0.53/0.72 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.f13 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.f15 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.f4 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.c20 $$unsorted) % 0.53/0.72 (declare-const tptp.p16 (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.c24 $$unsorted) % 0.53/0.72 (declare-const tptp.c19 $$unsorted) % 0.53/0.72 (declare-const tptp.p8 (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.p7 (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.p5 (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.c22 $$unsorted) % 0.53/0.72 (declare-const tptp.p3 (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.c25 $$unsorted) % 0.53/0.72 (declare-const tptp.c29 $$unsorted) % 0.53/0.72 (declare-const tptp.c21 $$unsorted) % 0.53/0.72 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.p17 (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.p10 (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.p14 (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.c27 $$unsorted) % 0.53/0.72 (declare-const tptp.p12 (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.c26 $$unsorted) % 0.53/0.72 (declare-const tptp.p18 (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.c23 $$unsorted) % 0.53/0.72 (define @t1 () (@var "X0" $$unsorted)) % 0.53/0.72 (define @t2 () (@var "X58" $$unsorted)) % 0.53/0.72 (define @t3 () (@var "X51" $$unsorted)) % 0.53/0.72 (define @t4 () (@var "X48" $$unsorted)) % 0.53/0.72 (define @t5 () (@var "X37" $$unsorted)) % 0.53/0.72 (define @t6 () (@var "X30" $$unsorted)) % 0.53/0.72 (define @t7 () (@var "X23" $$unsorted)) % 0.53/0.72 (define @t8 () (@var "X10" $$unsorted)) % 0.53/0.72 (define @t9 () (@var "X3" $$unsorted)) % 0.53/0.72 (define @t10 () (tptp.p18 tptp.c26 tptp.c25)) % 0.53/0.72 (define @t11 () (tptp.p3 tptp.c22 tptp.c23)) % 0.53/0.72 (define @t12 () (tptp.p2 tptp.c24 tptp.c25)) % 0.53/0.72 (define @t13 () (tptp.p16 tptp.c22 tptp.c21)) % 0.53/0.72 (define @t14 () (tptp.f4 tptp.c24 tptp.c20)) % 0.53/0.72 (define @t15 () (tptp.p3 tptp.c23 @t14)) % 0.53/0.72 (define @t16 () (tptp.p16 (tptp.f4 tptp.c19 tptp.c20) tptp.c21)) % 0.53/0.72 (define @t17 () (@var "X2" $$unsorted)) % 0.53/0.72 (define @t18 () (@var "X1" $$unsorted)) % 0.53/0.72 (define @t19 () (@var "X60" $$unsorted)) % 0.53/0.72 (define @t20 () (@var "X59" $$unsorted)) % 0.53/0.72 (define @t21 () (@var "X53" $$unsorted)) % 0.53/0.72 (define @t22 () (@var "X52" $$unsorted)) % 0.53/0.72 (define @t23 () (@var "X50" $$unsorted)) % 0.53/0.72 (define @t24 () (@var "X49" $$unsorted)) % 0.53/0.72 (define @t25 () (@var "X39" $$unsorted)) % 0.53/0.72 (define @t26 () (@var "X38" $$unsorted)) % 0.53/0.72 (define @t27 () (@var "X32" $$unsorted)) % 0.53/0.72 (define @t28 () (@var "X31" $$unsorted)) % 0.53/0.72 (define @t29 () (@var "X25" $$unsorted)) % 0.53/0.72 (define @t30 () (@var "X24" $$unsorted)) % 0.53/0.72 (define @t31 () (@var "X12" $$unsorted)) % 0.53/0.72 (define @t32 () (@var "X11" $$unsorted)) % 0.53/0.72 (define @t33 () (@var "X5" $$unsorted)) % 0.53/0.72 (define @t34 () (@var "X4" $$unsorted)) % 0.53/0.72 (define @t35 () (@var "X22" $$unsorted)) % 0.53/0.72 (define @t36 () (@var "X21" $$unsorted)) % 0.53/0.72 (define @t37 () (tptp.f6 tptp.c27 tptp.c25)) % 0.53/0.72 (define @t38 () (@var "X16" $$unsorted)) % 0.53/0.72 (define @t39 () (@var "X15" $$unsorted)) % 0.53/0.72 (define @t40 () (@var "X14" $$unsorted)) % 0.53/0.72 (define @t41 () (@var "X13" $$unsorted)) % 0.53/0.72 (define @t42 () (@var "X26" $$unsorted)) % 0.53/0.72 (define @t43 () (@var "X28" $$unsorted)) % 0.53/0.72 (define @t44 () (@var "X27" $$unsorted)) % 0.53/0.72 (define @t45 () (@var "X29" $$unsorted)) % 0.53/0.72 (define @t46 () (@var "X63" $$unsorted)) % 0.53/0.72 (define @t47 () (@var "X61" $$unsorted)) % 0.53/0.72 (define @t48 () (@var "X64" $$unsorted)) % 0.53/0.72 (define @t49 () (@var "X62" $$unsorted)) % 0.53/0.72 (define @t50 () (@var "X9" $$unsorted)) % 0.53/0.72 (define @t51 () (@var "X7" $$unsorted)) % 0.53/0.72 (define @t52 () (@var "X8" $$unsorted)) % 0.53/0.72 (define @t53 () (@var "X6" $$unsorted)) % 0.53/0.72 (define @t54 () (@var "X35" $$unsorted)) % 0.53/0.72 (define @t55 () (@var "X33" $$unsorted)) % 0.53/0.72 (define @t56 () (@var "X36" $$unsorted)) % 0.53/0.72 (define @t57 () (@var "X34" $$unsorted)) % 0.53/0.72 (define @t58 () (@var "X43" $$unsorted)) % 0.53/0.72 (define @t59 () (@var "X41" $$unsorted)) % 0.53/0.72 (define @t60 () (@var "X42" $$unsorted)) % 0.53/0.72 (define @t61 () (@var "X40" $$unsorted)) % 0.53/0.72 (define @t62 () (@var "X47" $$unsorted)) % 0.53/0.72 (define @t63 () (@var "X45" $$unsorted)) % 0.53/0.72 (define @t64 () (@var "X46" $$unsorted)) % 0.53/0.72 (define @t65 () (@var "X44" $$unsorted)) % 0.53/0.72 (define @t66 () (@var "X57" $$unsorted)) % 0.53/0.72 (define @t67 () (@var "X55" $$unsorted)) % 0.53/0.72 (define @t68 () (@var "X56" $$unsorted)) % 0.53/0.72 (define @t69 () (@var "X54" $$unsorted)) % 0.53/0.72 (define @t70 () (@var "X20" $$unsorted)) % 0.53/0.72 (define @t71 () (@var "X17" $$unsorted)) % 0.53/0.72 (define @t72 () (tptp.f9 (tptp.f11 tptp.c29 @t71) @t70)) % 0.53/0.72 (define @t73 () (tptp.f13 (tptp.f15 tptp.c28 @t71) @t70)) % 0.53/0.72 (define @t74 () (@var "X19" $$unsorted)) % 0.53/0.72 (define @t75 () (@var "X18" $$unsorted)) % 0.53/0.72 (define @t76 () (not (tptp.p16 (tptp.f4 tptp.c19 @t75) @t74))) % 0.53/0.72 (define @t77 () (not (tptp.p18 tptp.c26 @t70))) % 0.53/0.72 (define @t78 () (not (tptp.p2 @t71 @t70))) % 0.53/0.72 (define @t79 () (tptp.p16 (tptp.f4 @t71 @t75) @t74)) % 0.53/0.72 (define @t80 () (@list @t71 @t75 @t74 @t70)) % 0.53/0.72 (define @t81 () (forall @t80 (or @t79 @t78 @t77 @t76 (not (tptp.p16 (tptp.f4 @t70 @t73) @t72))))) % 0.53/0.72 (define @t82 () (tptp.f9 (tptp.f11 tptp.c29 tptp.c24) tptp.c25)) % 0.53/0.72 (define @t83 () (tptp.f13 (tptp.f15 tptp.c28 tptp.c24) tptp.c25)) % 0.53/0.72 (define @t84 () (@list tptp.c24 tptp.c20 tptp.c21 tptp.c25)) % 0.53/0.72 (define @t85 () (tptp.p3 tptp.c22 tptp.c22)) % 0.53/0.72 (define @t86 () (not @t85)) % 0.53/0.72 (define @t87 () (not @t11)) % 0.53/0.72 (define @t88 () (tptp.p3 tptp.c23 tptp.c22)) % 0.53/0.72 (define @t89 () (or @t88 @t87 @t86)) % 0.53/0.72 (define @t90 () (@list false false false)) % 0.53/0.72 (define @t91 () (not @t88)) % 0.53/0.72 (define @t92 () (not @t15)) % 0.53/0.72 (define @t93 () (tptp.p3 @t14 tptp.c22)) % 0.53/0.72 (define @t94 () (or @t93 @t92 @t91)) % 0.53/0.72 (define @t95 () (tptp.p16 @t14 tptp.c21)) % 0.53/0.72 (define @t96 () (not @t95)) % 0.53/0.72 (define @t97 () (tptp.p8 tptp.c21 tptp.c21)) % 0.53/0.72 (define @t98 () (not @t97)) % 0.53/0.72 (define @t99 () (not @t93)) % 0.53/0.72 (define @t100 () (or @t13 @t99 @t98 @t96)) % 0.53/0.72 (define @t101 () (not @t16)) % 0.53/0.72 (define @t102 () (not @t10)) % 0.53/0.72 (define @t103 () (not @t12)) % 0.53/0.72 (define @t104 () (tptp.p16 (tptp.f4 @t37 @t83) @t82)) % 0.53/0.72 (define @t105 () (or @t95 @t104 @t103 @t102 @t101)) % 0.53/0.72 (define @t106 () (@list false false false true false)) % 0.53/0.72 (define @t107 () (not @t104)) % 0.53/0.72 (define @t108 () (tptp.p16 (tptp.f4 tptp.c25 @t83) @t82)) % 0.53/0.72 (define @t109 () (or @t108 @t107)) % 0.53/0.72 (define @t110 () (not @t108)) % 0.53/0.72 (define @t111 () (or @t95 @t103 @t102 @t101 @t110)) % 0.53/0.72 (define @t112 () (not @t111)) % 0.53/0.72 (assume @p1 (forall (@list @t1) (tptp.p10 @t1 @t1))) % 0.53/0.72 (assume @p2 (forall (@list @t2) (tptp.p8 @t2 @t2))) % 0.53/0.72 (assume @p3 (forall (@list @t3) (tptp.p7 @t3 @t3))) % 0.53/0.72 (assume @p4 (forall (@list @t4) (tptp.p5 @t4 @t4))) % 0.53/0.72 (assume @p5 (forall (@list @t5) (tptp.p3 @t5 @t5))) % 0.53/0.72 (assume @p6 (forall (@list @t6) (tptp.p2 @t6 @t6))) % 0.53/0.72 (assume @p7 (forall (@list @t7) (tptp.p17 @t7 @t7))) % 0.53/0.72 (assume @p8 (forall (@list @t8) (tptp.p14 @t8 @t8))) % 0.53/0.72 (assume @p9 (forall (@list @t9) (tptp.p12 @t9 @t9))) % 0.53/0.72 (assume @p10 @t10) % 0.53/0.72 (assume @p11 @t11) % 0.53/0.72 (assume @p12 @t12) % 0.53/0.72 (assume @p13 (not @t13)) % 0.53/0.72 (assume @p14 @t15) % 0.53/0.72 (assume @p15 @t16) % 0.53/0.72 (assume @p16 (forall (@list @t18 @t17 @t1) (or (tptp.p10 @t18 @t17) (not (tptp.p10 @t1 @t18)) (not (tptp.p10 @t1 @t17))))) % 0.53/0.72 (assume @p17 (forall (@list @t20 @t19 @t2) (or (tptp.p8 @t20 @t19) (not (tptp.p8 @t2 @t20)) (not (tptp.p8 @t2 @t19))))) % 0.53/0.72 (assume @p18 (forall (@list @t22 @t21 @t3) (or (tptp.p7 @t22 @t21) (not (tptp.p7 @t3 @t22)) (not (tptp.p7 @t3 @t21))))) % 0.53/0.72 (assume @p19 (forall (@list @t24 @t23 @t4) (or (tptp.p5 @t24 @t23) (not (tptp.p5 @t4 @t24)) (not (tptp.p5 @t4 @t23))))) % 0.53/0.72 (assume @p20 (forall (@list @t26 @t25 @t5) (or (tptp.p3 @t26 @t25) (not (tptp.p3 @t5 @t26)) (not (tptp.p3 @t5 @t25))))) % 0.53/0.72 (assume @p21 (forall (@list @t28 @t27 @t6) (or (tptp.p2 @t28 @t27) (not (tptp.p2 @t6 @t28)) (not (tptp.p2 @t6 @t27))))) % 0.53/0.72 (assume @p22 (forall (@list @t30 @t29 @t7) (or (tptp.p17 @t30 @t29) (not (tptp.p17 @t7 @t30)) (not (tptp.p17 @t7 @t29))))) % 0.53/0.72 (assume @p23 (forall (@list @t32 @t31 @t8) (or (tptp.p14 @t32 @t31) (not (tptp.p14 @t8 @t32)) (not (tptp.p14 @t8 @t31))))) % 0.53/0.72 (assume @p24 (forall (@list @t34 @t33 @t9) (or (tptp.p12 @t34 @t33) (not (tptp.p12 @t9 @t34)) (not (tptp.p12 @t9 @t33))))) % 0.53/0.72 (assume @p25 (forall (@list @t36 @t35) (or (tptp.p16 (tptp.f4 tptp.c25 @t36) @t35) (not (tptp.p16 (tptp.f4 @t37 @t36) @t35))))) % 0.53/0.72 (assume @p26 (forall (@list @t41 @t40 @t39 @t38) (or (tptp.p16 @t41 @t40) (not (tptp.p3 @t39 @t41)) (not (tptp.p8 @t38 @t40)) (not (tptp.p16 @t39 @t38))))) % 0.53/0.72 (assume @p27 (forall (@list @t42 @t44 @t43 @t45) (or (tptp.p18 @t42 @t44) (not (tptp.p18 @t43 @t45)) (not (tptp.p2 @t45 @t44)) (not (tptp.p17 @t43 @t42))))) % 0.53/0.72 (assume @p28 (forall (@list @t47 @t49 @t46 @t48) (or (tptp.p8 (tptp.f9 @t47 @t49) (tptp.f9 @t46 @t48)) (not (tptp.p2 @t49 @t48)) (not (tptp.p7 @t47 @t46))))) % 0.53/0.72 (assume @p29 (forall (@list @t53 @t51 @t52 @t50) (or (tptp.p12 (tptp.f15 @t53 @t51) (tptp.f15 @t52 @t50)) (not (tptp.p14 @t53 @t52)) (not (tptp.p2 @t51 @t50))))) % 0.53/0.72 (assume @p30 (forall (@list @t55 @t57 @t54 @t56) (or (tptp.p2 (tptp.f6 @t55 @t57) (tptp.f6 @t54 @t56)) (not (tptp.p2 @t57 @t56)) (not (tptp.p5 @t55 @t54))))) % 0.53/0.72 (assume @p31 (forall (@list @t61 @t59 @t60 @t58) (or (tptp.p3 (tptp.f13 @t61 @t59) (tptp.f13 @t60 @t58)) (not (tptp.p12 @t61 @t60)) (not (tptp.p2 @t59 @t58))))) % 0.53/0.72 (assume @p32 (forall (@list @t65 @t63 @t64 @t62) (or (tptp.p3 (tptp.f4 @t65 @t63) (tptp.f4 @t64 @t62)) (not (tptp.p2 @t65 @t64)) (not (tptp.p3 @t63 @t62))))) % 0.53/0.72 (assume @p33 (forall (@list @t69 @t67 @t68 @t66) (or (tptp.p7 (tptp.f11 @t69 @t67) (tptp.f11 @t68 @t66)) (not (tptp.p10 @t69 @t68)) (not (tptp.p2 @t67 @t66))))) % 0.53/0.72 (assume @p34 @t81) % 0.53/0.72 (assume @p35 (forall @t80 (or @t79 (tptp.p16 (tptp.f4 (tptp.f6 tptp.c27 @t70) @t73) @t72) @t78 @t77 @t76))) % 0.53/0.72 (step @p36 :rule instantiate :premises (@p25) :args ((@list @t83 @t82))) % 0.53/0.72 (step @p37 :rule instantiate :premises (@p35) :args (@t84)) % 0.53/0.72 (step @p38 :rule instantiate :premises (@p26) :args ((@list tptp.c22 tptp.c21 @t14 tptp.c21))) % 0.53/0.72 (step @p39 :rule instantiate :premises (@p20) :args ((@list @t14 tptp.c22 tptp.c23))) % 0.53/0.72 (step @p40 :rule instantiate :premises (@p20) :args ((@list tptp.c23 tptp.c22 tptp.c22))) % 0.53/0.72 (step @p41 :rule instantiate :premises (@p5) :args ((@list tptp.c22))) % 0.53/0.72 (step @p42 :rule cnf_or_pos :args (@t89)) % 0.53/0.72 (step @p43 :rule reordering :premises (@p42) :args ((or @t87 @t86 @t88 (not @t89)))) % 0.53/0.72 (step @p44 :rule chain_m_resolution :premises (@p43 @p11 @p41 @p40) :args (@t88 @t90 (@list @t11 @t85 @t89))) % 0.53/0.72 (step @p45 :rule cnf_or_pos :args (@t94)) % 0.53/0.72 (step @p46 :rule reordering :premises (@p45) :args ((or @t92 @t93 @t91 (not @t94)))) % 0.53/0.72 (step @p47 :rule chain_m_resolution :premises (@p46 @p14 @p44 @p39) :args (@t93 @t90 (@list @t15 @t88 @t94))) % 0.53/0.72 (step @p48 :rule instantiate :premises (@p2) :args ((@list tptp.c21))) % 0.53/0.72 (step @p49 :rule cnf_or_pos :args (@t100)) % 0.53/0.72 (step @p50 :rule reordering :premises (@p49) :args ((or @t13 @t98 @t96 @t99 (not @t100)))) % 0.53/0.72 (step @p51 :rule chain_m_resolution :premises (@p50 @p13 @p48 @p47 @p38) :args (@t96 (@list true false false false) (@list @t13 @t97 @t93 @t100))) % 0.53/0.72 (step @p52 :rule cnf_or_pos :args (@t105)) % 0.53/0.72 (step @p53 :rule reordering :premises (@p52) :args ((or @t102 @t103 @t101 @t95 @t104 (not @t105)))) % 0.53/0.72 (step @p54 :rule chain_m_resolution :premises (@p53 @p10 @p12 @p15 @p51 @p37) :args (@t104 @t106 (@list @t10 @t12 @t16 @t95 @t105))) % 0.53/0.72 (step @p55 :rule cnf_or_pos :args (@t109)) % 0.53/0.72 (step @p56 :rule reordering :premises (@p55) :args ((or @t107 @t108 (not @t109)))) % 0.53/0.72 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p36) :args (@t108 (@list false false) (@list @t104 @t109))) % 0.53/0.72 (step @p58 :rule cnf_or_pos :args (@t111)) % 0.53/0.72 (step @p59 :rule reordering :premises (@p58) :args ((or @t102 @t103 @t101 @t95 @t110 @t112))) % 0.53/0.72 (step @p60 :rule chain_m_resolution :premises (@p59 @p10 @p12 @p15 @p51 @p57) :args (@t112 @t106 (@list @t10 @t12 @t16 @t95 @t108))) % 0.53/0.72 (assume-push @p67 @t81) % 0.53/0.72 (step @p62 :rule instantiate :premises (@p34) :args (@t84)) % 0.53/0.72 (step-pop @p68 :rule scope :premises (@p62)) % 0.53/0.72 (step @p63 :rule process_scope :premises (@p68) :args (@t111)) % 0.53/0.72 (step @p65 :rule implies_elim :premises (@p63)) % 0.53/0.72 (step @p66 false :rule chain_m_resolution :premises (@p65 @p60 @p34) :args (false (@list true false) (@list @t111 @t81))) % 0.53/0.72 ) % 0.53/0.72 % SZS output end Proof % 0.53/0.72 % cvc5 exiting %------------------------------------------------------------------------------