%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN592-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n005.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 03:35:16 PM UTC 2026
% Result : Unsatisfiable 60.57s 14.62s
% Output : Proof 60.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 25 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 86 ( 44 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f25,negated_conjecture,
( ~ p2(X27,X29)
| ~ p2(X26,X28)
| p3(f4(X26,X27),f4(X28,X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_26) ).
fof(f25_nnf,plain,
! [X26,X27,X28,X29] :
( ~ p2(X27,X29)
| ~ p2(X26,X28)
| p3(f4(X26,X27),f4(X28,X29)) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X26,X27,X28,X29] :
( ~ p2(X27,X29)
| ~ p2(X26,X28)
| p3(f4(X26,X27),f4(X28,X29)) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p3(f4(X0,X1),f4(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(f21,negated_conjecture,
( ~ p12(c14,f4(X20,c17))
| p2(f6(X20),f5(X20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_22) ).
fof(f21_nnf,plain,
! [X20] :
( ~ p12(c14,f4(X20,c17))
| p2(f6(X20),f5(X20)) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X20] :
( ~ p12(c14,f4(X20,c17))
| p2(f6(X20),f5(X20)) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( ~ p12(c14,f4(X0,c17))
| p2(f6(X0),f5(X0)) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(f10,negated_conjecture,
p12(c14,f4(c18,c17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_11) ).
fof(f10_nnf,plain,
p12(c14,f4(c18,c17)),
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c10,plain,
p12(c14,f4(c18,c17)),
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(p32,plain,
p2(f6(c18),f5(c18)),
inference(resolution,[status(thm)],[c21,c10]) ).
cnf(p87,plain,
( ~ p2(X0,X1)
| p3(f4(f6(c18),X0),f4(f5(c18),X1)) ),
inference(resolution,[status(thm)],[c25,p32]) ).
cnf(f3,negated_conjecture,
p2(X15,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f3_nnf,plain,
! [X15] : p2(X15,X15),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X15] : p2(X15,X15),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p282,plain,
p3(f4(f6(c18),X0),f4(f5(c18),X0)),
inference(resolution,[status(thm)],[p87,c3]) ).
cnf(f24,negated_conjecture,
( ~ p11(X7,X8)
| ~ p7(X7,X5)
| ~ p3(X8,X6)
| p11(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_25) ).
fof(f24_nnf,plain,
! [X5,X6,X8,X7] :
( ~ p11(X7,X8)
| ~ p7(X7,X5)
| ~ p3(X8,X6)
| p11(X5,X6) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [X5,X6,X8,X7] :
( ~ p11(X7,X8)
| ~ p7(X7,X5)
| ~ p3(X8,X6)
| p11(X5,X6) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
( ~ p11(X3,X2)
| ~ p7(X3,X0)
| ~ p3(X2,X1)
| p11(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p314,plain,
( ~ p11(X2,f4(f6(c18),X1))
| ~ p7(X2,X0)
| p11(X0,f4(f5(c18),X1)) ),
inference(resolution,[status(thm)],[p282,c24]) ).
cnf(f2,negated_conjecture,
p7(X30,X30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
fof(f2_nnf,plain,
! [X30] : p7(X30,X30),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X30] : p7(X30,X30),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
p7(X0,X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p4975,plain,
( ~ p11(X0,f4(f6(c18),X1))
| p11(X0,f4(f5(c18),X1)) ),
inference(resolution,[status(thm)],[p314,c2]) ).
cnf(f26,negated_conjecture,
( ~ p12(c14,f4(X9,c17))
| p11(c13,f4(f6(X9),c17))
| p11(c13,f4(c17,f6(X9))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_27) ).
fof(f26_nnf,plain,
! [X9] :
( ~ p12(c14,f4(X9,c17))
| p11(c13,f4(f6(X9),c17))
| p11(c13,f4(c17,f6(X9))) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [X9] :
( ~ p12(c14,f4(X9,c17))
| p11(c13,f4(f6(X9),c17))
| p11(c13,f4(c17,f6(X9))) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
( ~ p12(c14,f4(X0,c17))
| p11(c13,f4(f6(X0),c17))
| p11(c13,f4(c17,f6(X0))) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p109,plain,
( p11(c13,f4(f6(c18),c17))
| p11(c13,f4(c17,f6(c18))) ),
inference(resolution,[status(thm)],[c26,c10]) ).
cnf(p4977,plain,
( p11(c13,f4(c17,f6(c18)))
| p11(c13,f4(f5(c18),c17)) ),
inference(resolution,[status(thm)],[p4975,p109]) ).
cnf(f12,negated_conjecture,
~ p11(c13,f4(f5(c18),c17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_13) ).
fof(f12_nnf,plain,
~ p11(c13,f4(f5(c18),c17)),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
~ p11(c13,f4(f5(c18),c17)),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
~ p11(c13,f4(f5(c18),c17)),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p4978,plain,
p11(c13,f4(c17,f6(c18))),
inference(resolution,[status(thm)],[p4977,c12]) ).
cnf(p86,plain,
( ~ p2(X1,X2)
| p3(f4(X0,X1),f4(X0,X2)) ),
inference(resolution,[status(thm)],[c25,c3]) ).
cnf(p201,plain,
p3(f4(X0,f6(c18)),f4(X0,f5(c18))),
inference(resolution,[status(thm)],[p86,p32]) ).
cnf(p229,plain,
( ~ p11(X2,f4(X1,f6(c18)))
| ~ p7(X2,X0)
| p11(X0,f4(X1,f5(c18))) ),
inference(resolution,[status(thm)],[p201,c24]) ).
cnf(p4648,plain,
( ~ p11(X0,f4(X1,f6(c18)))
| p11(X0,f4(X1,f5(c18))) ),
inference(resolution,[status(thm)],[p229,c2]) ).
cnf(p4979,plain,
p11(c13,f4(c17,f5(c18))),
inference(resolution,[status(thm)],[p4978,p4648]) ).
cnf(f11,negated_conjecture,
~ p11(c13,f4(c17,f5(c18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_12) ).
fof(f11_nnf,plain,
~ p11(c13,f4(c17,f5(c18))),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
~ p11(c13,f4(c17,f5(c18))),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
~ p11(c13,f4(c17,f5(c18))),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p4980,plain,
$false,
inference(resolution,[status(thm)],[p4979,c11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN592-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/5.38 % Computer : n005.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Fri Sep 25 01:49:37 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 60.57/14.62 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 60.57/14.62 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------