%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN600-1 : 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 : n005.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 0.46s 0.70s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYN600-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n005.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 23:32:33 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... % 0.46/0.70 % SZS status Unsatisfiable % 0.46/0.70 % SZS output start Proof % 0.53/0.70 ( % 0.53/0.70 (declare-sort $$unsorted 0) % 0.53/0.70 (declare-const tptp.c20 $$unsorted) % 0.53/0.70 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.p18 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.p17 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.f13 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.f15 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.p19 (-> $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.f4 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.f12 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.c21 $$unsorted) % 0.53/0.70 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.c22 $$unsorted) % 0.53/0.70 (declare-const tptp.f6 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.f11 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.p7 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.p5 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.p3 (-> $$unsorted $$unsorted Bool)) % 0.53/0.70 (declare-const tptp.f16 (-> $$unsorted $$unsorted)) % 0.53/0.70 (declare-const tptp.f14 (-> $$unsorted $$unsorted)) % 0.53/0.70 (define @t1 () (tptp.p19 tptp.c21)) % 0.53/0.70 (define @t2 () (tptp.p19 tptp.c22)) % 0.53/0.70 (define @t3 () (@var "X11" $$unsorted)) % 0.53/0.70 (define @t4 () (@var "X32" $$unsorted)) % 0.53/0.70 (define @t5 () (@var "X29" $$unsorted)) % 0.53/0.70 (define @t6 () (@var "X16" $$unsorted)) % 0.53/0.70 (define @t7 () (tptp.f16 tptp.c22)) % 0.53/0.70 (define @t8 () (tptp.f16 tptp.c21)) % 0.53/0.70 (define @t9 () (tptp.p7 @t8 @t7)) % 0.53/0.70 (define @t10 () (tptp.f4 (tptp.f6 tptp.c22))) % 0.53/0.70 (define @t11 () (tptp.f4 (tptp.f6 tptp.c21))) % 0.53/0.70 (define @t12 () (tptp.p3 @t11 @t10)) % 0.53/0.70 (define @t13 () (@var "X9" $$unsorted)) % 0.53/0.70 (define @t14 () (@var "X10" $$unsorted)) % 0.53/0.70 (define @t15 () (@var "X44" $$unsorted)) % 0.53/0.70 (define @t16 () (@var "X43" $$unsorted)) % 0.53/0.70 (define @t17 () (@var "X15" $$unsorted)) % 0.53/0.70 (define @t18 () (@var "X14" $$unsorted)) % 0.53/0.70 (define @t19 () (@var "X20" $$unsorted)) % 0.53/0.70 (define @t20 () (@var "X19" $$unsorted)) % 0.53/0.70 (define @t21 () (@var "X22" $$unsorted)) % 0.53/0.70 (define @t22 () (@var "X21" $$unsorted)) % 0.53/0.70 (define @t23 () (@var "X24" $$unsorted)) % 0.53/0.70 (define @t24 () (@var "X23" $$unsorted)) % 0.53/0.70 (define @t25 () (@var "X26" $$unsorted)) % 0.53/0.70 (define @t26 () (@var "X25" $$unsorted)) % 0.53/0.70 (define @t27 () (@var "X40" $$unsorted)) % 0.53/0.70 (define @t28 () (@var "X39" $$unsorted)) % 0.53/0.70 (define @t29 () (@var "X42" $$unsorted)) % 0.53/0.70 (define @t30 () (@var "X41" $$unsorted)) % 0.53/0.70 (define @t31 () (@var "X13" $$unsorted)) % 0.53/0.70 (define @t32 () (@var "X12" $$unsorted)) % 0.53/0.70 (define @t33 () (@var "X34" $$unsorted)) % 0.53/0.70 (define @t34 () (@var "X33" $$unsorted)) % 0.53/0.70 (define @t35 () (@var "X31" $$unsorted)) % 0.53/0.70 (define @t36 () (@var "X30" $$unsorted)) % 0.53/0.70 (define @t37 () (@var "X18" $$unsorted)) % 0.53/0.70 (define @t38 () (@var "X17" $$unsorted)) % 0.53/0.70 (define @t39 () (@var "X3" $$unsorted)) % 0.53/0.70 (define @t40 () (@var "X2" $$unsorted)) % 0.53/0.70 (define @t41 () (@var "X1" $$unsorted)) % 0.53/0.70 (define @t42 () (@var "X0" $$unsorted)) % 0.53/0.70 (define @t43 () (@var "X8" $$unsorted)) % 0.53/0.70 (define @t44 () (@var "X7" $$unsorted)) % 0.53/0.70 (define @t45 () (@var "X6" $$unsorted)) % 0.53/0.70 (define @t46 () (@var "X5" $$unsorted)) % 0.53/0.70 (define @t47 () (forall (@list @t46 @t45 @t44 @t43) (or (tptp.p18 @t46 @t45) (not (tptp.p7 @t44 @t46)) (not (tptp.p7 @t43 @t45)) (not (tptp.p18 @t44 @t43))))) % 0.53/0.70 (define @t48 () (@var "X51" $$unsorted)) % 0.53/0.70 (define @t49 () (@var "X49" $$unsorted)) % 0.53/0.70 (define @t50 () (@var "X52" $$unsorted)) % 0.53/0.70 (define @t51 () (@var "X50" $$unsorted)) % 0.53/0.70 (define @t52 () (@var "X37" $$unsorted)) % 0.53/0.70 (define @t53 () (@var "X35" $$unsorted)) % 0.53/0.70 (define @t54 () (@var "X38" $$unsorted)) % 0.53/0.70 (define @t55 () (@var "X36" $$unsorted)) % 0.53/0.70 (define @t56 () (@var "X48" $$unsorted)) % 0.53/0.70 (define @t57 () (@var "X46" $$unsorted)) % 0.53/0.70 (define @t58 () (@var "X47" $$unsorted)) % 0.53/0.70 (define @t59 () (@var "X45" $$unsorted)) % 0.53/0.70 (define @t60 () (@var "X4" $$unsorted)) % 0.53/0.70 (define @t61 () (not (tptp.p19 @t60))) % 0.53/0.70 (define @t62 () (tptp.f15 (tptp.f16 @t60))) % 0.53/0.70 (define @t63 () (tptp.f12 tptp.c20)) % 0.53/0.70 (define @t64 () (tptp.f13 (tptp.f11 (tptp.f14 @t63)))) % 0.53/0.70 (define @t65 () (tptp.f10 @t64 (tptp.f11 (tptp.f12 (tptp.f12 (tptp.f12 (tptp.f12 (tptp.f12 (tptp.f12 @t63))))))))) % 0.53/0.70 (define @t66 () (tptp.f9 (tptp.f10 @t64 (tptp.f4 (tptp.f6 @t60))) @t65)) % 0.53/0.70 (define @t67 () (@list @t60)) % 0.53/0.70 (define @t68 () (@var "X28" $$unsorted)) % 0.53/0.70 (define @t69 () (tptp.f9 (tptp.f10 @t64 @t68) @t65)) % 0.53/0.70 (define @t70 () (@var "X27" $$unsorted)) % 0.53/0.70 (define @t71 () (tptp.f15 (tptp.f16 @t70))) % 0.53/0.70 (define @t72 () (not @t9)) % 0.53/0.70 (define @t73 () (tptp.f15 @t7)) % 0.53/0.70 (define @t74 () (tptp.f15 @t8)) % 0.53/0.70 (define @t75 () (tptp.p7 @t74 @t73)) % 0.53/0.70 (define @t76 () (or @t75 @t72)) % 0.53/0.70 (define @t77 () (@list false false)) % 0.53/0.70 (define @t78 () (tptp.f9 (tptp.f10 @t64 @t11) @t65)) % 0.53/0.70 (define @t79 () (tptp.f8 @t64 @t78)) % 0.53/0.70 (define @t80 () (@list tptp.c21)) % 0.53/0.70 (define @t81 () (not @t1)) % 0.53/0.70 (define @t82 () (tptp.p17 @t74 @t79)) % 0.53/0.70 (define @t83 () (or @t82 @t81)) % 0.53/0.70 (define @t84 () (not @t82)) % 0.53/0.70 (define @t85 () (tptp.p7 @t79 @t79)) % 0.53/0.70 (define @t86 () (not @t85)) % 0.53/0.70 (define @t87 () (not @t75)) % 0.53/0.70 (define @t88 () (tptp.p17 @t73 @t79)) % 0.53/0.70 (define @t89 () (or @t88 @t87 @t86 @t84)) % 0.53/0.70 (define @t90 () (@list false false false false)) % 0.53/0.70 (define @t91 () (@list tptp.c22)) % 0.53/0.70 (define @t92 () (not @t2)) % 0.53/0.70 (define @t93 () (tptp.f9 (tptp.f10 @t64 @t10) @t65)) % 0.53/0.70 (define @t94 () (tptp.p17 @t73 (tptp.f8 @t64 @t93))) % 0.53/0.70 (define @t95 () (or @t94 @t92)) % 0.53/0.70 (define @t96 () (tptp.p18 @t93 @t73)) % 0.53/0.70 (define @t97 () (or @t96 @t92)) % 0.53/0.70 (define @t98 () (not @t94)) % 0.53/0.70 (define @t99 () (not @t96)) % 0.53/0.70 (define @t100 () (tptp.p3 @t10 @t10)) % 0.53/0.70 (define @t101 () (or @t100 @t92 @t99 @t98)) % 0.53/0.70 (define @t102 () (not @t100)) % 0.53/0.70 (define @t103 () (tptp.p3 @t10 @t11)) % 0.53/0.70 (define @t104 () (not @t103)) % 0.53/0.70 (define @t105 () (or @t12 @t104 @t102)) % 0.53/0.70 (define @t106 () (not @t88)) % 0.53/0.70 (define @t107 () (tptp.p18 @t78 @t73)) % 0.53/0.70 (define @t108 () (not @t107)) % 0.53/0.70 (define @t109 () (or @t103 @t92 @t108 @t106)) % 0.53/0.70 (define @t110 () (tptp.p18 @t78 @t74)) % 0.53/0.70 (define @t111 () (or @t110 @t81)) % 0.53/0.70 (define @t112 () (not @t110)) % 0.53/0.70 (define @t113 () (tptp.p7 @t78 @t78)) % 0.53/0.70 (define @t114 () (not @t113)) % 0.53/0.70 (define @t115 () (or @t107 @t114 @t87 @t112)) % 0.53/0.70 (define @t116 () (not @t115)) % 0.53/0.70 (assume @p1 @t1) % 0.53/0.70 (assume @p2 @t2) % 0.53/0.70 (assume @p3 (forall (@list @t3) (tptp.p2 @t3 @t3))) % 0.53/0.70 (assume @p4 (forall (@list @t4) (tptp.p7 @t4 @t4))) % 0.53/0.70 (assume @p5 (forall (@list @t5) (tptp.p5 @t5 @t5))) % 0.53/0.70 (assume @p6 (forall (@list @t6) (tptp.p3 @t6 @t6))) % 0.53/0.70 (assume @p7 @t9) % 0.53/0.70 (assume @p8 (not @t12)) % 0.53/0.70 (assume @p9 (forall (@list @t13 @t14) (or (tptp.p19 @t13) (not (tptp.p19 @t14)) (not (tptp.p5 @t14 @t13))))) % 0.53/0.70 (assume @p10 (forall (@list @t16 @t15) (or (tptp.p7 (tptp.f16 @t16) (tptp.f16 @t15)) (not (tptp.p5 @t16 @t15))))) % 0.53/0.70 (assume @p11 (forall (@list @t18 @t17) (or (tptp.p2 (tptp.f6 @t18) (tptp.f6 @t17)) (not (tptp.p5 @t18 @t17))))) % 0.53/0.70 (assume @p12 (forall (@list @t20 @t19) (or (tptp.p3 (tptp.f11 @t20) (tptp.f11 @t19)) (not (tptp.p3 @t20 @t19))))) % 0.53/0.70 (assume @p13 (forall (@list @t22 @t21) (or (tptp.p3 (tptp.f12 @t22) (tptp.f12 @t21)) (not (tptp.p3 @t22 @t21))))) % 0.53/0.70 (assume @p14 (forall (@list @t24 @t23) (or (tptp.p3 (tptp.f14 @t24) (tptp.f14 @t23)) (not (tptp.p3 @t24 @t23))))) % 0.53/0.70 (assume @p15 (forall (@list @t26 @t25) (or (tptp.p3 (tptp.f4 @t26) (tptp.f4 @t25)) (not (tptp.p2 @t26 @t25))))) % 0.53/0.70 (assume @p16 (forall (@list @t28 @t27) (or (tptp.p7 (tptp.f13 @t28) (tptp.f13 @t27)) (not (tptp.p3 @t28 @t27))))) % 0.53/0.70 (assume @p17 (forall (@list @t30 @t29) (or (tptp.p7 (tptp.f15 @t30) (tptp.f15 @t29)) (not (tptp.p7 @t30 @t29))))) % 0.53/0.70 (assume @p18 (forall (@list @t32 @t31 @t3) (or (tptp.p2 @t32 @t31) (not (tptp.p2 @t3 @t32)) (not (tptp.p2 @t3 @t31))))) % 0.53/0.70 (assume @p19 (forall (@list @t34 @t33 @t4) (or (tptp.p7 @t34 @t33) (not (tptp.p7 @t4 @t34)) (not (tptp.p7 @t4 @t33))))) % 0.53/0.70 (assume @p20 (forall (@list @t36 @t35 @t5) (or (tptp.p5 @t36 @t35) (not (tptp.p5 @t5 @t36)) (not (tptp.p5 @t5 @t35))))) % 0.53/0.70 (assume @p21 (forall (@list @t38 @t37 @t6) (or (tptp.p3 @t38 @t37) (not (tptp.p3 @t6 @t38)) (not (tptp.p3 @t6 @t37))))) % 0.53/0.70 (assume @p22 (forall (@list @t42 @t41 @t40 @t39) (or (tptp.p17 @t42 @t41) (not (tptp.p7 @t40 @t42)) (not (tptp.p7 @t39 @t41)) (not (tptp.p17 @t40 @t39))))) % 0.53/0.70 (assume @p23 @t47) % 0.53/0.70 (assume @p24 (forall (@list @t49 @t51 @t48 @t50) (or (tptp.p7 (tptp.f9 @t49 @t51) (tptp.f9 @t48 @t50)) (not (tptp.p7 @t51 @t50)) (not (tptp.p7 @t49 @t48))))) % 0.53/0.70 (assume @p25 (forall (@list @t53 @t55 @t52 @t54) (or (tptp.p7 (tptp.f10 @t53 @t55) (tptp.f10 @t52 @t54)) (not (tptp.p3 @t55 @t54)) (not (tptp.p7 @t53 @t52))))) % 0.53/0.70 (assume @p26 (forall (@list @t59 @t57 @t58 @t56) (or (tptp.p7 (tptp.f8 @t59 @t57) (tptp.f8 @t58 @t56)) (not (tptp.p7 @t59 @t58)) (not (tptp.p7 @t57 @t56))))) % 0.53/0.70 (assume @p27 (forall @t67 (or (tptp.p18 @t66 @t62) @t61))) % 0.53/0.70 (assume @p28 (forall @t67 (or (tptp.p17 @t62 (tptp.f8 @t64 @t66)) @t61))) % 0.53/0.70 (assume @p29 (forall (@list @t70 @t68) (or (tptp.p3 (tptp.f4 (tptp.f6 @t70)) @t68) (not (tptp.p19 @t70)) (not (tptp.p18 @t69 @t71)) (not (tptp.p17 @t71 (tptp.f8 @t64 @t69)))))) % 0.53/0.70 (step @p30 :rule instantiate :premises (@p17) :args ((@list @t8 @t7))) % 0.53/0.70 (step @p31 :rule cnf_or_pos :args (@t76)) % 0.53/0.70 (step @p32 :rule reordering :premises (@p31) :args ((or @t72 @t75 (not @t76)))) % 0.53/0.70 (step @p33 :rule chain_m_resolution :premises (@p32 @p7 @p30) :args (@t75 @t77 (@list @t9 @t76))) % 0.53/0.70 (step @p34 :rule instantiate :premises (@p29) :args ((@list tptp.c22 @t11))) % 0.53/0.70 (step @p35 :rule instantiate :premises (@p22) :args ((@list @t73 @t79 @t74 @t79))) % 0.53/0.70 (step @p36 :rule instantiate :premises (@p4) :args ((@list @t79))) % 0.53/0.70 (step @p37 :rule instantiate :premises (@p28) :args (@t80)) % 0.53/0.70 (step @p38 :rule cnf_or_pos :args (@t83)) % 0.53/0.70 (step @p39 :rule reordering :premises (@p38) :args ((or @t81 @t82 (not @t83)))) % 0.53/0.70 (step @p40 :rule chain_m_resolution :premises (@p39 @p1 @p37) :args (@t82 @t77 (@list @t1 @t83))) % 0.53/0.70 (step @p41 :rule cnf_or_pos :args (@t89)) % 0.53/0.70 (step @p42 :rule reordering :premises (@p41) :args ((or @t84 @t88 @t86 @t87 (not @t89)))) % 0.53/0.70 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p36 @p33 @p35) :args (@t88 @t90 (@list @t82 @t85 @t75 @t89))) % 0.53/0.70 (step @p44 :rule instantiate :premises (@p21) :args ((@list @t11 @t10 @t10))) % 0.53/0.70 (step @p45 :rule instantiate :premises (@p29) :args ((@list tptp.c22 @t10))) % 0.53/0.70 (step @p46 :rule instantiate :premises (@p28) :args (@t91)) % 0.53/0.70 (step @p47 :rule cnf_or_pos :args (@t95)) % 0.53/0.70 (step @p48 :rule reordering :premises (@p47) :args ((or @t92 @t94 (not @t95)))) % 0.53/0.70 (step @p49 :rule chain_m_resolution :premises (@p48 @p2 @p46) :args (@t94 @t77 (@list @t2 @t95))) % 0.53/0.70 (step @p50 :rule instantiate :premises (@p27) :args (@t91)) % 0.53/0.70 (step @p51 :rule cnf_or_pos :args (@t97)) % 0.53/0.70 (step @p52 :rule reordering :premises (@p51) :args ((or @t92 @t96 (not @t97)))) % 0.53/0.70 (step @p53 :rule chain_m_resolution :premises (@p52 @p2 @p50) :args (@t96 @t77 (@list @t2 @t97))) % 0.53/0.70 (step @p54 :rule cnf_or_pos :args (@t101)) % 0.53/0.70 (step @p55 :rule reordering :premises (@p54) :args ((or @t92 @t99 @t98 @t100 (not @t101)))) % 0.53/0.70 (step @p56 :rule chain_m_resolution :premises (@p55 @p2 @p53 @p49 @p45) :args (@t100 @t90 (@list @t2 @t96 @t94 @t101))) % 0.53/0.70 (step @p57 :rule cnf_or_pos :args (@t105)) % 0.53/0.70 (step @p58 :rule reordering :premises (@p57) :args ((or @t12 @t102 @t104 (not @t105)))) % 0.53/0.70 (step @p59 :rule chain_m_resolution :premises (@p58 @p8 @p56 @p44) :args (@t104 (@list true false false) (@list @t12 @t100 @t105))) % 0.53/0.70 (step @p60 :rule cnf_or_pos :args (@t109)) % 0.53/0.70 (step @p61 :rule reordering :premises (@p60) :args ((or @t92 @t103 @t108 @t106 (not @t109)))) % 0.53/0.70 (step @p62 :rule chain_m_resolution :premises (@p61 @p2 @p59 @p43 @p34) :args (@t108 (@list false true false false) (@list @t2 @t103 @t88 @t109))) % 0.53/0.70 (step @p63 :rule instantiate :premises (@p4) :args ((@list @t78))) % 0.53/0.70 (step @p64 :rule instantiate :premises (@p27) :args (@t80)) % 0.53/0.70 (step @p65 :rule cnf_or_pos :args (@t111)) % 0.53/0.70 (step @p66 :rule reordering :premises (@p65) :args ((or @t81 @t110 (not @t111)))) % 0.53/0.70 (step @p67 :rule chain_m_resolution :premises (@p66 @p1 @p64) :args (@t110 @t77 (@list @t1 @t111))) % 0.53/0.70 (step @p68 :rule cnf_or_pos :args (@t115)) % 0.53/0.70 (step @p69 :rule reordering :premises (@p68) :args ((or @t112 @t114 @t107 @t87 @t116))) % 0.53/0.70 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p63 @p62 @p33) :args (@t116 (@list false false true false) (@list @t110 @t113 @t107 @t75))) % 0.53/0.70 (assume-push @p77 @t47) % 0.53/0.70 (step @p72 :rule instantiate :premises (@p23) :args ((@list @t78 @t73 @t78 @t74))) % 0.53/0.70 (step-pop @p78 :rule scope :premises (@p72)) % 0.53/0.70 (step @p73 :rule process_scope :premises (@p78) :args (@t115)) % 0.53/0.70 (step @p75 :rule implies_elim :premises (@p73)) % 0.53/0.70 (step @p76 false :rule chain_m_resolution :premises (@p75 @p70 @p23) :args (false (@list true false) (@list @t115 @t47))) % 0.53/0.70 ) % 0.53/0.70 % SZS output end Proof % 0.53/0.70 % cvc5 exiting %------------------------------------------------------------------------------