%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN621-1 : 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 : n018.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 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN621-1 : 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 % 0.17/0.35 % Computer : n018.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:32:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Unsatisfiable % 0.39/0.58 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (declare-const tptp.c25 $$unsorted) % 0.39/0.59 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.c27 $$unsorted) % 0.39/0.59 (declare-const tptp.f19 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.f12 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.p22 (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.p21 (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.p10 (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.p8 (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.f15 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.c24 $$unsorted) % 0.39/0.59 (declare-const tptp.p7 (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.p4 (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.f18 (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.c28 $$unsorted) % 0.39/0.59 (declare-const tptp.p2 (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.f17 (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.p13 (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.f16 (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.c23 $$unsorted) % 0.39/0.59 (declare-const tptp.f14 (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.c26 $$unsorted) % 0.39/0.59 (declare-const tptp.f20 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.f5 (-> $$unsorted $$unsorted)) % 0.39/0.59 (define @t1 () (@var "X0" $$unsorted)) % 0.39/0.59 (define @t2 () (@var "X78" $$unsorted)) % 0.39/0.59 (define @t3 () (@var "X71" $$unsorted)) % 0.39/0.59 (define @t4 () (@var "X38" $$unsorted)) % 0.39/0.59 (define @t5 () (@var "X12" $$unsorted)) % 0.39/0.59 (define @t6 () (@var "X7" $$unsorted)) % 0.39/0.59 (define @t7 () (tptp.f3 tptp.c24)) % 0.39/0.59 (define @t8 () (tptp.p2 tptp.c23 @t7)) % 0.39/0.59 (define @t9 () (@var "X11" $$unsorted)) % 0.39/0.59 (define @t10 () (@var "X10" $$unsorted)) % 0.39/0.59 (define @t11 () (@var "X60" $$unsorted)) % 0.39/0.59 (define @t12 () (@var "X59" $$unsorted)) % 0.39/0.59 (define @t13 () (@var "X46" $$unsorted)) % 0.39/0.59 (define @t14 () (@var "X45" $$unsorted)) % 0.39/0.59 (define @t15 () (@var "X25" $$unsorted)) % 0.39/0.59 (define @t16 () (@var "X24" $$unsorted)) % 0.39/0.59 (define @t17 () (@var "X23" $$unsorted)) % 0.39/0.59 (define @t18 () (@var "X22" $$unsorted)) % 0.39/0.59 (define @t19 () (@var "X21" $$unsorted)) % 0.39/0.59 (define @t20 () (@var "X20" $$unsorted)) % 0.39/0.59 (define @t21 () (@var "X2" $$unsorted)) % 0.39/0.59 (define @t22 () (@var "X1" $$unsorted)) % 0.39/0.59 (define @t23 () (@var "X80" $$unsorted)) % 0.39/0.59 (define @t24 () (@var "X79" $$unsorted)) % 0.39/0.59 (define @t25 () (@var "X73" $$unsorted)) % 0.39/0.59 (define @t26 () (@var "X72" $$unsorted)) % 0.39/0.59 (define @t27 () (@var "X40" $$unsorted)) % 0.39/0.59 (define @t28 () (@var "X39" $$unsorted)) % 0.39/0.59 (define @t29 () (@var "X31" $$unsorted)) % 0.39/0.59 (define @t30 () (@var "X32" $$unsorted)) % 0.39/0.59 (define @t31 () (@var "X30" $$unsorted)) % 0.39/0.59 (define @t32 () (forall (@list @t31 @t29 @t30) (or (tptp.p21 @t31 @t29) (not (tptp.p21 @t31 @t30)) (not (tptp.p21 @t30 @t29))))) % 0.39/0.59 (define @t33 () (@var "X14" $$unsorted)) % 0.39/0.59 (define @t34 () (@var "X13" $$unsorted)) % 0.39/0.59 (define @t35 () (@var "X9" $$unsorted)) % 0.39/0.59 (define @t36 () (@var "X8" $$unsorted)) % 0.39/0.59 (define @t37 () (@var "X29" $$unsorted)) % 0.39/0.59 (define @t38 () (@var "X28" $$unsorted)) % 0.39/0.59 (define @t39 () (@var "X27" $$unsorted)) % 0.39/0.59 (define @t40 () (@var "X26" $$unsorted)) % 0.39/0.59 (define @t41 () (@var "X35" $$unsorted)) % 0.39/0.59 (define @t42 () (@var "X36" $$unsorted)) % 0.39/0.59 (define @t43 () (@var "X34" $$unsorted)) % 0.39/0.59 (define @t44 () (@var "X37" $$unsorted)) % 0.39/0.59 (define @t45 () (@var "X76" $$unsorted)) % 0.39/0.59 (define @t46 () (@var "X74" $$unsorted)) % 0.39/0.59 (define @t47 () (@var "X77" $$unsorted)) % 0.39/0.59 (define @t48 () (@var "X75" $$unsorted)) % 0.39/0.59 (define @t49 () (@var "X6" $$unsorted)) % 0.39/0.59 (define @t50 () (@var "X4" $$unsorted)) % 0.39/0.59 (define @t51 () (@var "X5" $$unsorted)) % 0.39/0.59 (define @t52 () (@var "X3" $$unsorted)) % 0.39/0.59 (define @t53 () (@var "X44" $$unsorted)) % 0.39/0.59 (define @t54 () (@var "X42" $$unsorted)) % 0.39/0.59 (define @t55 () (@var "X43" $$unsorted)) % 0.39/0.59 (define @t56 () (@var "X41" $$unsorted)) % 0.39/0.59 (define @t57 () (@var "X49" $$unsorted)) % 0.39/0.59 (define @t58 () (@var "X47" $$unsorted)) % 0.39/0.59 (define @t59 () (@var "X50" $$unsorted)) % 0.39/0.59 (define @t60 () (@var "X48" $$unsorted)) % 0.39/0.59 (define @t61 () (@var "X64" $$unsorted)) % 0.39/0.59 (define @t62 () (@var "X62" $$unsorted)) % 0.39/0.59 (define @t63 () (@var "X63" $$unsorted)) % 0.39/0.59 (define @t64 () (@var "X61" $$unsorted)) % 0.39/0.59 (define @t65 () (@var "X18" $$unsorted)) % 0.39/0.59 (define @t66 () (@var "X15" $$unsorted)) % 0.39/0.59 (define @t67 () (@var "X17" $$unsorted)) % 0.39/0.59 (define @t68 () (tptp.f11 @t67 (tptp.f12 @t66 @t65))) % 0.39/0.59 (define @t69 () (tptp.f14 @t68)) % 0.39/0.59 (define @t70 () (@var "X16" $$unsorted)) % 0.39/0.59 (define @t71 () (tptp.f20 @t67 @t66 @t65 @t70)) % 0.39/0.59 (define @t72 () (tptp.p2 @t66 @t7)) % 0.39/0.59 (define @t73 () (@var "X70" $$unsorted)) % 0.39/0.59 (define @t74 () (@var "X67" $$unsorted)) % 0.39/0.59 (define @t75 () (@var "X69" $$unsorted)) % 0.39/0.59 (define @t76 () (@var "X66" $$unsorted)) % 0.39/0.59 (define @t77 () (@var "X68" $$unsorted)) % 0.39/0.59 (define @t78 () (@var "X65" $$unsorted)) % 0.39/0.59 (define @t79 () (@var "X56" $$unsorted)) % 0.39/0.59 (define @t80 () (@var "X52" $$unsorted)) % 0.39/0.59 (define @t81 () (@var "X55" $$unsorted)) % 0.39/0.59 (define @t82 () (@var "X51" $$unsorted)) % 0.39/0.59 (define @t83 () (@var "X58" $$unsorted)) % 0.39/0.59 (define @t84 () (@var "X54" $$unsorted)) % 0.39/0.59 (define @t85 () (@var "X57" $$unsorted)) % 0.39/0.59 (define @t86 () (@var "X53" $$unsorted)) % 0.39/0.59 (define @t87 () (tptp.f11 tptp.c25 (tptp.f12 tptp.c23 tptp.c26))) % 0.39/0.59 (define @t88 () (tptp.f14 @t87)) % 0.39/0.59 (define @t89 () (@var "X33" $$unsorted)) % 0.39/0.59 (define @t90 () (tptp.f5 (tptp.f6 tptp.c27 (tptp.f9 @t87 tptp.c28 tptp.c27)))) % 0.39/0.59 (define @t91 () (tptp.f16 (tptp.f3 (tptp.f17 (tptp.f18 tptp.c24))))) % 0.39/0.59 (define @t92 () (tptp.f15 (tptp.f19 @t87 tptp.c27) @t91)) % 0.39/0.59 (define @t93 () (tptp.p21 @t90 @t92)) % 0.39/0.59 (define @t94 () (@var "X19" $$unsorted)) % 0.39/0.59 (define @t95 () (tptp.f5 (tptp.f6 @t70 @t71))) % 0.39/0.59 (define @t96 () (tptp.f20 tptp.c25 tptp.c23 tptp.c26 tptp.c27)) % 0.39/0.59 (define @t97 () (tptp.p22 @t96 @t88)) % 0.39/0.59 (define @t98 () (or @t8 @t97)) % 0.39/0.59 (define @t99 () (@list true false)) % 0.39/0.59 (define @t100 () (not @t97)) % 0.39/0.59 (define @t101 () (tptp.f5 (tptp.f6 tptp.c27 @t96))) % 0.39/0.59 (define @t102 () (tptp.p21 @t90 @t101)) % 0.39/0.59 (define @t103 () (or @t102 @t100)) % 0.39/0.59 (define @t104 () (tptp.p21 @t101 @t92)) % 0.39/0.59 (define @t105 () (or @t8 @t104)) % 0.39/0.59 (define @t106 () (not @t104)) % 0.39/0.59 (define @t107 () (not @t102)) % 0.39/0.59 (define @t108 () (or @t93 @t107 @t106)) % 0.39/0.59 (define @t109 () (not @t108)) % 0.39/0.59 (assume @p1 (forall (@list @t1) (tptp.p10 @t1 @t1))) % 0.39/0.59 (assume @p2 (forall (@list @t2) (tptp.p8 @t2 @t2))) % 0.39/0.59 (assume @p3 (forall (@list @t3) (tptp.p7 @t3 @t3))) % 0.39/0.59 (assume @p4 (forall (@list @t4) (tptp.p4 @t4 @t4))) % 0.39/0.59 (assume @p5 (forall (@list @t5) (tptp.p2 @t5 @t5))) % 0.39/0.59 (assume @p6 (forall (@list @t6) (tptp.p13 @t6 @t6))) % 0.39/0.59 (assume @p7 (not @t8)) % 0.39/0.59 (assume @p8 (forall (@list @t10 @t9) (or (tptp.p13 (tptp.f14 @t10) (tptp.f14 @t9)) (not (tptp.p7 @t10 @t9))))) % 0.39/0.59 (assume @p9 (forall (@list @t12 @t11) (or (tptp.p4 (tptp.f5 @t12) (tptp.f5 @t11)) (not (tptp.p4 @t12 @t11))))) % 0.39/0.59 (assume @p10 (forall (@list @t14 @t13) (or (tptp.p4 (tptp.f16 @t14) (tptp.f16 @t13)) (not (tptp.p2 @t14 @t13))))) % 0.39/0.59 (assume @p11 (forall (@list @t16 @t15) (or (tptp.p2 (tptp.f3 @t16) (tptp.f3 @t15)) (not (tptp.p2 @t16 @t15))))) % 0.39/0.59 (assume @p12 (forall (@list @t18 @t17) (or (tptp.p2 (tptp.f18 @t18) (tptp.f18 @t17)) (not (tptp.p2 @t18 @t17))))) % 0.39/0.59 (assume @p13 (forall (@list @t20 @t19) (or (tptp.p2 (tptp.f17 @t20) (tptp.f17 @t19)) (not (tptp.p2 @t20 @t19))))) % 0.39/0.59 (assume @p14 (forall (@list @t22 @t21 @t1) (or (tptp.p10 @t22 @t21) (not (tptp.p10 @t1 @t22)) (not (tptp.p10 @t1 @t21))))) % 0.39/0.59 (assume @p15 (forall (@list @t24 @t23 @t2) (or (tptp.p8 @t24 @t23) (not (tptp.p8 @t2 @t24)) (not (tptp.p8 @t2 @t23))))) % 0.39/0.59 (assume @p16 (forall (@list @t26 @t25 @t3) (or (tptp.p7 @t26 @t25) (not (tptp.p7 @t3 @t26)) (not (tptp.p7 @t3 @t25))))) % 0.39/0.59 (assume @p17 (forall (@list @t28 @t27 @t4) (or (tptp.p4 @t28 @t27) (not (tptp.p4 @t4 @t28)) (not (tptp.p4 @t4 @t27))))) % 0.39/0.59 (assume @p18 @t32) % 0.39/0.59 (assume @p19 (forall (@list @t34 @t33 @t5) (or (tptp.p2 @t34 @t33) (not (tptp.p2 @t5 @t34)) (not (tptp.p2 @t5 @t33))))) % 0.39/0.59 (assume @p20 (forall (@list @t36 @t35 @t6) (or (tptp.p13 @t36 @t35) (not (tptp.p13 @t6 @t36)) (not (tptp.p13 @t6 @t35))))) % 0.39/0.59 (assume @p21 (forall (@list @t40 @t39 @t38 @t37) (or (tptp.p21 @t40 @t39) (not (tptp.p4 @t38 @t40)) (not (tptp.p4 @t37 @t39)) (not (tptp.p21 @t38 @t37))))) % 0.39/0.59 (assume @p22 (forall (@list @t43 @t41 @t44 @t42) (or (tptp.p22 @t43 @t41) (not (tptp.p22 @t44 @t42)) (not (tptp.p4 @t44 @t43)) (not (tptp.p13 @t42 @t41))))) % 0.39/0.59 (assume @p23 (forall (@list @t46 @t48 @t45 @t47) (or (tptp.p7 (tptp.f11 @t46 @t48) (tptp.f11 @t45 @t47)) (not (tptp.p10 @t48 @t47)) (not (tptp.p2 @t46 @t45))))) % 0.39/0.59 (assume @p24 (forall (@list @t52 @t50 @t51 @t49) (or (tptp.p10 (tptp.f12 @t52 @t50) (tptp.f12 @t51 @t49)) (not (tptp.p2 @t52 @t51)) (not (tptp.p2 @t50 @t49))))) % 0.39/0.59 (assume @p25 (forall (@list @t56 @t54 @t55 @t53) (or (tptp.p4 (tptp.f15 @t56 @t54) (tptp.f15 @t55 @t53)) (not (tptp.p4 @t56 @t55)) (not (tptp.p4 @t54 @t53))))) % 0.39/0.59 (assume @p26 (forall (@list @t58 @t60 @t57 @t59) (or (tptp.p4 (tptp.f19 @t58 @t60) (tptp.f19 @t57 @t59)) (not (tptp.p4 @t60 @t59)) (not (tptp.p7 @t58 @t57))))) % 0.39/0.59 (assume @p27 (forall (@list @t64 @t62 @t63 @t61) (or (tptp.p4 (tptp.f6 @t64 @t62) (tptp.f6 @t63 @t61)) (not (tptp.p4 @t64 @t63)) (not (tptp.p4 @t62 @t61))))) % 0.39/0.59 (assume @p28 (forall (@list @t66 @t67 @t65 @t70) (or @t72 (tptp.p22 @t71 @t69)))) % 0.39/0.59 (assume @p29 (forall (@list @t78 @t76 @t74 @t77 @t75 @t73) (or (tptp.p4 (tptp.f9 @t78 @t76 @t74) (tptp.f9 @t77 @t75 @t73)) (not (tptp.p7 @t78 @t77)) (not (tptp.p8 @t76 @t75)) (not (tptp.p4 @t74 @t73))))) % 0.39/0.59 (assume @p30 (forall (@list @t82 @t80 @t86 @t84 @t81 @t79 @t85 @t83) (or (tptp.p4 (tptp.f20 @t82 @t80 @t86 @t84) (tptp.f20 @t81 @t79 @t85 @t83)) (not (tptp.p2 @t86 @t85)) (not (tptp.p4 @t84 @t83)) (not (tptp.p2 @t82 @t81)) (not (tptp.p2 @t80 @t79))))) % 0.39/0.59 (assume @p31 (forall (@list @t89) (or (tptp.p21 @t90 (tptp.f5 (tptp.f6 tptp.c27 @t89))) (not (tptp.p22 @t89 @t88))))) % 0.39/0.59 (assume @p32 (not @t93)) % 0.39/0.59 (assume @p33 (forall (@list @t66 @t70 @t67 @t65 @t94) (or @t72 (tptp.p21 @t95 (tptp.f5 (tptp.f6 @t70 @t94))) (not (tptp.p22 @t94 @t69))))) % 0.39/0.59 (assume @p34 (forall (@list @t66 @t70 @t67 @t65) (or @t72 (tptp.p21 @t95 (tptp.f15 (tptp.f19 @t68 @t70) @t91))))) % 0.39/0.59 (step @p35 :rule instantiate :premises (@p31) :args ((@list @t96))) % 0.39/0.59 (step @p36 :rule instantiate :premises (@p28) :args ((@list tptp.c23 tptp.c25 tptp.c26 tptp.c27))) % 0.39/0.59 (step @p37 :rule cnf_or_pos :args (@t98)) % 0.39/0.59 (step @p38 :rule reordering :premises (@p37) :args ((or @t8 @t97 (not @t98)))) % 0.39/0.59 (step @p39 :rule chain_m_resolution :premises (@p38 @p7 @p36) :args (@t97 @t99 (@list @t8 @t98))) % 0.39/0.59 (step @p40 :rule cnf_or_pos :args (@t103)) % 0.39/0.59 (step @p41 :rule reordering :premises (@p40) :args ((or @t102 @t100 (not @t103)))) % 0.39/0.59 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p35) :args (@t102 (@list false false) (@list @t97 @t103))) % 0.39/0.59 (step @p43 :rule instantiate :premises (@p34) :args ((@list tptp.c23 tptp.c27 tptp.c25 tptp.c26))) % 0.39/0.59 (step @p44 :rule cnf_or_pos :args (@t105)) % 0.39/0.59 (step @p45 :rule reordering :premises (@p44) :args ((or @t8 @t104 (not @t105)))) % 0.39/0.59 (step @p46 :rule chain_m_resolution :premises (@p45 @p7 @p43) :args (@t104 @t99 (@list @t8 @t105))) % 0.39/0.59 (step @p47 :rule cnf_or_pos :args (@t108)) % 0.39/0.59 (step @p48 :rule reordering :premises (@p47) :args ((or @t93 @t106 @t107 @t109))) % 0.39/0.59 (step @p49 :rule chain_m_resolution :premises (@p48 @p32 @p46 @p42) :args (@t109 (@list true false false) (@list @t93 @t104 @t102))) % 0.39/0.59 (assume-push @p56 @t32) % 0.39/0.59 (step @p51 :rule instantiate :premises (@p18) :args ((@list @t90 @t92 @t101))) % 0.39/0.59 (step-pop @p57 :rule scope :premises (@p51)) % 0.39/0.59 (step @p52 :rule process_scope :premises (@p57) :args (@t108)) % 0.39/0.59 (step @p54 :rule implies_elim :premises (@p52)) % 0.39/0.59 (step @p55 false :rule chain_m_resolution :premises (@p54 @p49 @p18) :args (false @t99 (@list @t108 @t32))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------