%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN598-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:35:17 PM UTC 2026
% Result : Unsatisfiable 6.16s 1.23s
% Output : CNFRefutation 6.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 14 RR)
% Number of literals : 19 ( 18 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 4 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 4 con; 0-4 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(hi2,negated_conjecture,
p7(X34,X34) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h0,plain,
p7(f14(f12(f15(f13(c23)))),f14(f12(f15(f13(c23))))) = true,
inference(hyper_resolution,[status(thm)],[hi2]) ).
cnf(hi24,negated_conjecture,
ifeq(p3(X42,X44),true,ifeq(p7(X41,X43),true,p7(f11(X41,X42),f11(X43,X44)),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(hi6,negated_conjecture,
p3(f4(f6(c21)),c22) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h5,plain,
p7(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),c22)) = true,
inference(hyper_resolution,[status(thm)],[hi24,hi6,h0]) ).
cnf(hi25,negated_conjecture,
ifeq(p7(X38,X40),true,ifeq(p7(X37,X39),true,p7(f10(X37,X38),f10(X39,X40)),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h6,plain,
p7(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))) = true,
inference(hyper_resolution,[status(thm)],[hi25,hi2,h5]) ).
cnf(h2,plain,
p7(f8(f9(c21)),f8(f9(c21))) = true,
inference(hyper_resolution,[status(thm)],[hi2]) ).
cnf(hi1,negated_conjecture,
p18(c21) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h1,plain,
p18(c21) = true,
inference(hyper_resolution,[status(thm)],[hi1]) ).
cnf(hi26,negated_conjecture,
ifeq(p18(X8),true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X8))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X8))),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h3,plain,
p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) = true,
inference(hyper_resolution,[status(thm)],[hi26,h1]) ).
cnf(hi22,negated_conjecture,
ifeq(p19(X6,X7),true,ifeq(p7(X7,X5),true,ifeq(p7(X6,X4),true,p19(X4,X5),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h4,plain,
p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) = true,
inference(hyper_resolution,[status(thm)],[hi22,h3,hi2,hi2]) ).
cnf(t27,plain,
p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) = true,
inference(hyper_resolution,[status(thm)],[hi22,h4,h2,h6]) ).
cnf(t103,plain,
p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) = true,
inference(orient,[status(thm)],[t27]) ).
cnf(goal_0,negated_conjecture,
p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t103]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN598-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n013.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Fri Sep 25 01:49:51 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.16/1.23 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.16/1.23 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------