%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN554-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n006.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 03:35:11 PM UTC 2026
% Result : Unsatisfiable 23.78s 3.82s
% Output : Proof 23.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 18 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 84 ( 37 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f6,negated_conjecture,
( ~ p4(X13,X14)
| p4(f3(c5,X13),f3(c5,X14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_7) ).
fof(f6_nnf,plain,
! [X13,X14] :
( ~ p4(X13,X14)
| p4(f3(c5,X13),f3(c5,X14)) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X13,X14] :
( ~ p4(X13,X14)
| p4(f3(c5,X13),f3(c5,X14)) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( ~ p4(X0,X1)
| p4(f3(c5,X0),f3(c5,X1)) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(f4,negated_conjecture,
( p4(X1,X0)
| p4(X0,X1)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f4_nnf,plain,
! [X0,X1] :
( p4(X1,X0)
| p4(X0,X1)
| p2(X0,X1) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X0,X1] :
( p4(X1,X0)
| p4(X0,X1)
| p2(X0,X1) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( p4(X1,X0)
| p4(X0,X1)
| p2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p13,plain,
( p4(X1,X0)
| p2(X0,X1)
| p4(f3(c5,X0),f3(c5,X1)) ),
inference(resolution,[status(thm)],[c6,c4]) ).
cnf(f7,negated_conjecture,
( ~ p2(X11,X9)
| ~ p4(X11,X12)
| ~ p2(X12,X10)
| p4(X9,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_8) ).
fof(f7_nnf,plain,
! [X9,X10,X12,X11] :
( ~ p2(X11,X9)
| ~ p4(X11,X12)
| ~ p2(X12,X10)
| p4(X9,X10) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X9,X10,X12,X11] :
( ~ p2(X11,X9)
| ~ p4(X11,X12)
| ~ p2(X12,X10)
| p4(X9,X10) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( ~ p2(X3,X0)
| ~ p4(X3,X2)
| ~ p2(X2,X1)
| p4(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(f0,negated_conjecture,
p2(X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f0_nnf,plain,
! [X2] : p2(X2,X2),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X2] : p2(X2,X2),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p15,plain,
( ~ p2(X2,X0)
| ~ p4(X2,X1)
| p4(X0,X1) ),
inference(resolution,[status(thm)],[c7,c0]) ).
cnf(p25,plain,
( ~ p2(f3(c5,X0),X2)
| p4(X2,f3(c5,X1))
| p4(X1,X0)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[p13,p15]) ).
cnf(f3,negated_conjecture,
p2(f3(c5,c6),f3(c5,c7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f3_nnf,plain,
p2(f3(c5,c6),f3(c5,c7)),
inference(nnf_transformation,[status(thm)],[f3]) ).
cnf(c3,plain,
p2(f3(c5,c6),f3(c5,c7)),
inference(cnf_transformation,[status(esa)],[f3_nnf]) ).
cnf(p114,plain,
( p4(f3(c5,c7),f3(c5,X0))
| p4(X0,c6)
| p2(c6,X0) ),
inference(resolution,[status(thm)],[p25,c3]) ).
cnf(f1,negated_conjecture,
~ p4(X15,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_2) ).
fof(f1_nnf,plain,
! [X15] : ~ p4(X15,X15),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X15] : ~ p4(X15,X15),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
~ p4(X0,X0),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p172,plain,
( p4(c7,c6)
| p2(c6,c7) ),
inference(resolution,[status(thm)],[p114,c1]) ).
cnf(p191,plain,
( p4(f3(c5,c7),f3(c5,c6))
| p2(c6,c7) ),
inference(resolution,[status(thm)],[p172,c6]) ).
cnf(p194,plain,
( ~ p2(f3(c5,c7),X0)
| p4(X0,f3(c5,c6))
| p2(c6,c7) ),
inference(resolution,[status(thm)],[p191,p15]) ).
cnf(f5,negated_conjecture,
( ~ p2(X2,X3)
| ~ p2(X2,X4)
| p2(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
fof(f5_nnf,plain,
! [X3,X4,X2] :
( ~ p2(X2,X3)
| ~ p2(X2,X4)
| p2(X3,X4) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X3,X4,X2] :
( ~ p2(X2,X3)
| ~ p2(X2,X4)
| p2(X3,X4) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ p2(X2,X0)
| ~ p2(X2,X1)
| p2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p9,plain,
( ~ p2(X1,X0)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(p11,plain,
p2(f3(c5,c7),f3(c5,c6)),
inference(resolution,[status(thm)],[p9,c3]) ).
cnf(p241,plain,
( p4(f3(c5,c6),f3(c5,c6))
| p2(c6,c7) ),
inference(resolution,[status(thm)],[p194,p11]) ).
cnf(p242,plain,
p2(c6,c7),
inference(resolution,[status(thm)],[p241,c1]) ).
cnf(f2,negated_conjecture,
~ p2(c6,c7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_3) ).
fof(f2_nnf,plain,
~ p2(c6,c7),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
~ p2(c6,c7),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
~ p2(c6,c7),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p243,plain,
$false,
inference(resolution,[status(thm)],[p242,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN554-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 01:43:40 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 23.78/3.82 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.78/3.82 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------