%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN598-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 5.14s 1.31s
% Output : Proof 5.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 49 ( 33 unt; 0 def)
% Number of atoms : 81 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 38 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-4 aty)
% Number of variables : 70 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1,negated_conjecture,
p18(c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21_is_p18_2) ).
fof(f1_nnf,plain,
p18(c21),
inference(nnf_transformation,[status(thm)],[f1]) ).
cnf(c1,plain,
p18(c21),
inference(cnf_transformation,[status(esa)],[f1_nnf]) ).
cnf(hi1,negated_conjecture,
p18(c21) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(h1,plain,
p18(c21) = true,
inference(hyper_resolution,[status(thm)],[hi1]) ).
cnf(f27,negated_conjecture,
( ~ p18(X8)
| 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))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_28) ).
fof(f27_nnf,plain,
! [X8] :
( ~ p18(X8)
| 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))) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X8] :
( ~ p18(X8)
| 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))) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
( ~ p18(X0)
| p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X0))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X0))) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(hi26,negated_conjecture,
ifeq(p18(X0),true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X0))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X0))),true) = true,
inference(equality_encoding,[status(esa)],[c27]) ).
cnf(h5,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(f22,negated_conjecture,
( ~ p19(X6,X7)
| ~ p7(X7,X5)
| ~ p7(X6,X4)
| p19(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_23) ).
fof(f22_nnf,plain,
! [X4,X5,X6,X7] :
( ~ p19(X6,X7)
| ~ p7(X7,X5)
| ~ p7(X6,X4)
| p19(X4,X5) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X4,X5,X6,X7] :
( ~ p19(X6,X7)
| ~ p7(X7,X5)
| ~ p7(X6,X4)
| p19(X4,X5) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( ~ p19(X2,X3)
| ~ p7(X3,X1)
| ~ p7(X2,X0)
| p19(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(hi22,negated_conjecture,
ifeq(p7(X0,X1),true,ifeq(p7(X2,X3),true,ifeq(p19(X0,X2),true,p19(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(f2,negated_conjecture,
p7(X34,X34),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
fof(f2_nnf,plain,
! [X34] : p7(X34,X34),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X34] : p7(X34,X34),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
p7(X0,X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,negated_conjecture,
p7(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h6,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,hi2,hi2,h5]) ).
cnf(h2,plain,
p7(f8(f9(c21)),f8(f9(c21))) = true,
inference(hyper_resolution,[status(thm)],[hi2]) ).
cnf(h0,plain,
p7(f14(f12(f15(f13(c23)))),f14(f12(f15(f13(c23))))) = true,
inference(hyper_resolution,[status(thm)],[hi2]) ).
cnf(f24,negated_conjecture,
( ~ p7(X41,X43)
| ~ p3(X42,X44)
| p7(f11(X41,X42),f11(X43,X44)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_25) ).
fof(f24_nnf,plain,
! [X41,X42,X43,X44] :
( ~ p7(X41,X43)
| ~ p3(X42,X44)
| p7(f11(X41,X42),f11(X43,X44)) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [X41,X42,X43,X44] :
( ~ p7(X41,X43)
| ~ p3(X42,X44)
| p7(f11(X41,X42),f11(X43,X44)) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
( ~ p7(X0,X2)
| ~ p3(X1,X3)
| p7(f11(X0,X1),f11(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(hi24,negated_conjecture,
ifeq(p3(X0,X1),true,ifeq(p7(X2,X3),true,p7(f11(X2,X0),f11(X3,X1)),true),true) = true,
inference(equality_encoding,[status(esa)],[c24]) ).
cnf(f6,negated_conjecture,
p3(f4(f6(c21)),c22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
fof(f6_nnf,plain,
p3(f4(f6(c21)),c22),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
p3(f4(f6(c21)),c22),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(hi6,negated_conjecture,
p3(f4(f6(c21)),c22) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(h3,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(f25,negated_conjecture,
( ~ p7(X37,X39)
| ~ p7(X38,X40)
| p7(f10(X37,X38),f10(X39,X40)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_26) ).
fof(f25_nnf,plain,
! [X37,X38,X39,X40] :
( ~ p7(X37,X39)
| ~ p7(X38,X40)
| p7(f10(X37,X38),f10(X39,X40)) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X37,X38,X39,X40] :
( ~ p7(X37,X39)
| ~ p7(X38,X40)
| p7(f10(X37,X38),f10(X39,X40)) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( ~ p7(X0,X2)
| ~ p7(X1,X3)
| p7(f10(X0,X1),f10(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(hi25,negated_conjecture,
ifeq(p7(X0,X1),true,ifeq(p7(X2,X3),true,p7(f10(X2,X0),f10(X3,X1)),true),true) = true,
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(h4,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,h3]) ).
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(t98,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(f26,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))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p19_27) ).
fof(f26_nnf,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))),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,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))),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,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))),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
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,
inference(equality_encoding,[status(esa)],[c26]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t98]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN598-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n015.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
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 01:54:28 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.14/1.31 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.14/1.31 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------