%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN332-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.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 03:34:23 PM UTC 2026
% Result : Unsatisfiable 3.70s 1.08s
% Output : Proof 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 5 unt; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 108 ( 52 ~; 56 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 76 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f7,negated_conjecture,
( ~ f(z(X,Y),z(X,Y))
| f(X,Y)
| ~ f(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f7_nnf,plain,
! [Y,X] :
( ~ f(z(X,Y),z(X,Y))
| f(X,Y)
| ~ f(Y,X) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [Y,X] :
( ~ f(z(X,Y),z(X,Y))
| f(X,Y)
| ~ f(Y,X) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( ~ f(z(X1,X0),z(X1,X0))
| f(X1,X0)
| ~ f(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(f6,negated_conjecture,
( f(Y,z(X,Y))
| ~ f(X,z(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f6_nnf,plain,
! [X,Y] :
( f(Y,z(X,Y))
| ~ f(X,z(X,Y)) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y] :
( f(Y,z(X,Y))
| ~ f(X,z(X,Y)) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( f(X1,z(X0,X1))
| ~ f(X0,z(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(f0,negated_conjecture,
( f(X,z(X,Y))
| f(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f0_nnf,plain,
! [X,Y] :
( f(X,z(X,Y))
| f(X,Y) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] :
( f(X,z(X,Y))
| f(X,Y) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( f(X0,z(X0,X1))
| f(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p21,plain,
( f(X1,X0)
| f(X0,z(X1,X0)) ),
inference(resolution,[status(thm)],[c6,c0]) ).
cnf(p33,plain,
( f(X0,X1)
| ~ f(z(z(X0,X1),X1),z(z(X0,X1),X1))
| f(z(X0,X1),X1) ),
inference(resolution,[status(thm)],[c7,p21]) ).
cnf(f12,negated_conjecture,
( ~ f(z(X,Y),Y)
| f(Y,X)
| f(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f12_nnf,plain,
! [X,Y] :
( ~ f(z(X,Y),Y)
| f(Y,X)
| f(X,Y) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X,Y] :
( ~ f(z(X,Y),Y)
| f(Y,X)
| f(X,Y) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( ~ f(z(X0,X1),X1)
| f(X1,X0)
| f(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p39,plain,
( ~ f(z(X0,X0),X0)
| f(X0,X0) ),
inference(factoring,[status(thm)],[c12]) ).
cnf(f4,negated_conjecture,
( f(z(X,Y),X)
| ~ f(X,z(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f4_nnf,plain,
! [X,Y] :
( f(z(X,Y),X)
| ~ f(X,z(X,Y)) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X,Y] :
( f(z(X,Y),X)
| ~ f(X,z(X,Y)) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( f(z(X0,X1),X0)
| ~ f(X0,z(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p14,plain,
( f(X0,X1)
| f(z(X0,X1),X0) ),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(p41,plain,
( f(X0,X0)
| f(X0,X0) ),
inference(resolution,[status(thm)],[p39,p14]) ).
cnf(p49,plain,
f(X0,X0),
inference(factoring,[status(thm)],[p41]) ).
cnf(p69,plain,
( f(X0,X1)
| f(z(X0,X1),X1) ),
inference(resolution,[status(thm)],[p33,p49]) ).
cnf(p71,plain,
( f(X1,X0)
| f(X0,X1)
| f(X0,X1) ),
inference(resolution,[status(thm)],[p69,c12]) ).
cnf(p75,plain,
( f(X1,X0)
| f(X0,X1) ),
inference(factoring,[status(thm)],[p71]) ).
cnf(f2,negated_conjecture,
( ~ f(X,z(X,Y))
| ~ f(Y,X)
| ~ f(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f2_nnf,plain,
! [X,Y] :
( ~ f(X,z(X,Y))
| ~ f(Y,X)
| ~ f(X,Y) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( ~ f(X,z(X,Y))
| ~ f(Y,X)
| ~ f(X,Y) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ f(X0,z(X0,X1))
| ~ f(X1,X0)
| ~ f(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p16,plain,
( ~ f(X0,z(X0,X0))
| ~ f(X0,X0) ),
inference(factoring,[status(thm)],[c2]) ).
cnf(p50,plain,
~ f(X0,z(X0,X0)),
inference(resolution,[status(thm)],[p49,p16]) ).
cnf(p82,plain,
f(z(X0,X0),X0),
inference(resolution,[status(thm)],[p75,p50]) ).
cnf(f13,negated_conjecture,
( ~ f(z(X,Y),Y)
| ~ f(Y,X)
| ~ f(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f13_nnf,plain,
! [X,Y] :
( ~ f(z(X,Y),Y)
| ~ f(Y,X)
| ~ f(X,Y) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X,Y] :
( ~ f(z(X,Y),Y)
| ~ f(Y,X)
| ~ f(X,Y) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( ~ f(z(X0,X1),X1)
| ~ f(X1,X0)
| ~ f(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p42,plain,
( ~ f(z(X0,X0),X0)
| ~ f(X0,X0) ),
inference(factoring,[status(thm)],[c13]) ).
cnf(p51,plain,
~ f(z(X0,X0),X0),
inference(resolution,[status(thm)],[p42,p49]) ).
cnf(p88,plain,
$false,
inference(resolution,[status(thm)],[p82,p51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN332-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 00:51:58 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.70/1.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.70/1.08 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------