%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN347-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 03:34:27 PM UTC 2026
% Result : Unsatisfiable 5.52s 1.66s
% Output : Proof 5.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 4 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 87 ( 37 ~; 50 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f0,negated_conjecture,
( f(a,b)
| ~ f(X2,y(X1,X2))
| f(X1,y(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f0_nnf,plain,
! [X1,X2] :
( f(a,b)
| ~ f(X2,y(X1,X2))
| f(X1,y(X1,X2)) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X1,X2] :
( f(a,b)
| ~ f(X2,y(X1,X2))
| f(X1,y(X1,X2)) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( f(a,b)
| ~ f(X1,y(X0,X1))
| f(X0,y(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(f4,negated_conjecture,
( f(b,y(X1,X2))
| f(a,y(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f4_nnf,plain,
! [X1,X2] :
( f(b,y(X1,X2))
| f(a,y(X1,X2)) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X1,X2] :
( f(b,y(X1,X2))
| f(a,y(X1,X2)) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( f(b,y(X0,X1))
| f(a,y(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p6,plain,
( f(a,y(X0,b))
| f(a,b)
| f(X0,y(X0,b)) ),
inference(resolution,[status(thm)],[c0,c4]) ).
cnf(p12,plain,
( f(a,b)
| f(a,y(a,b)) ),
inference(factoring,[status(thm)],[p6]) ).
cnf(f1,negated_conjecture,
( f(a,b)
| f(X2,y(X1,X2))
| ~ f(X1,y(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f1_nnf,plain,
! [X1,X2] :
( f(a,b)
| f(X2,y(X1,X2))
| ~ f(X1,y(X1,X2)) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X1,X2] :
( f(a,b)
| f(X2,y(X1,X2))
| ~ f(X1,y(X1,X2)) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( f(a,b)
| f(X1,y(X0,X1))
| ~ f(X0,y(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p14,plain,
( f(a,b)
| f(b,y(a,b))
| f(a,b) ),
inference(resolution,[status(thm)],[p12,c1]) ).
cnf(p15,plain,
( f(b,y(a,b))
| f(a,b) ),
inference(factoring,[status(thm)],[p14]) ).
cnf(f5,negated_conjecture,
( ~ f(b,y(X1,X2))
| ~ f(a,y(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f5_nnf,plain,
! [X1,X2] :
( ~ f(b,y(X1,X2))
| ~ f(a,y(X1,X2)) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X1,X2] :
( ~ f(b,y(X1,X2))
| ~ f(a,y(X1,X2)) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ f(b,y(X0,X1))
| ~ f(a,y(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p13,plain,
( ~ f(b,y(a,b))
| f(a,b) ),
inference(resolution,[status(thm)],[p12,c5]) ).
cnf(p16,plain,
( f(a,b)
| f(a,b) ),
inference(resolution,[status(thm)],[p15,p13]) ).
cnf(p18,plain,
f(a,b),
inference(factoring,[status(thm)],[p16]) ).
cnf(f3,negated_conjecture,
( ~ f(a,b)
| f(X2,y(X1,X2))
| f(X1,y(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f3_nnf,plain,
! [X1,X2] :
( ~ f(a,b)
| f(X2,y(X1,X2))
| f(X1,y(X1,X2)) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X1,X2] :
( ~ f(a,b)
| f(X2,y(X1,X2))
| f(X1,y(X1,X2)) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ f(a,b)
| f(X1,y(X0,X1))
| f(X0,y(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p11,plain,
( ~ f(a,b)
| f(X0,y(X0,X0)) ),
inference(factoring,[status(thm)],[c3]) ).
cnf(p21,plain,
f(X0,y(X0,X0)),
inference(resolution,[status(thm)],[p18,p11]) ).
cnf(f2,negated_conjecture,
( ~ f(a,b)
| ~ f(X2,y(X1,X2))
| ~ f(X1,y(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f2_nnf,plain,
! [X1,X2] :
( ~ f(a,b)
| ~ f(X2,y(X1,X2))
| ~ f(X1,y(X1,X2)) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X1,X2] :
( ~ f(a,b)
| ~ f(X2,y(X1,X2))
| ~ f(X1,y(X1,X2)) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ f(a,b)
| ~ f(X1,y(X0,X1))
| ~ f(X0,y(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p8,plain,
( ~ f(a,b)
| ~ f(X0,y(X0,X0)) ),
inference(factoring,[status(thm)],[c2]) ).
cnf(p24,plain,
~ f(a,b),
inference(resolution,[status(thm)],[p21,p8]) ).
cnf(p27,plain,
$false,
inference(resolution,[status(thm)],[p24,p18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN347-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.57 % Computer : n005.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Fri Sep 25 00:55:49 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.57 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.52/1.66 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.52/1.66 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------