%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN031-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n009.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 03:33:20 PM UTC 2026
% Result : Unsatisfiable 2.73s 1.30s
% Output : Proof 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 3 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 10 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 17 ( 2 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1,axiom,
( g(A,f(A))
| g(A,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f1_nnf,plain,
! [A] :
( g(A,f(A))
| g(A,a) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [A] :
( g(A,f(A))
| g(A,a) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( g(X0,f(X0))
| g(X0,a) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(f4,negated_conjecture,
( ~ g(B,a)
| ~ g(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem) ).
fof(f4_nnf,plain,
! [A,B] :
( ~ g(B,a)
| ~ g(A,B) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [A,B] :
( ~ g(B,a)
| ~ g(A,B) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ~ g(X1,a)
| ~ g(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p6,plain,
( ~ g(f(X0),a)
| g(X0,a) ),
inference(resolution,[status(thm)],[c1,c4]) ).
cnf(f0,axiom,
( g(f(A),A)
| g(A,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f0_nnf,plain,
! [A] :
( g(f(A),A)
| g(A,a) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A] :
( g(f(A),A)
| g(A,a) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( g(f(X0),X0)
| g(X0,a) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p8,plain,
( g(a,a)
| g(a,a) ),
inference(resolution,[status(thm)],[p6,c0]) ).
cnf(p9,plain,
g(a,a),
inference(factoring,[status(thm)],[p8]) ).
cnf(p5,plain,
~ g(a,a),
inference(factoring,[status(thm)],[c4]) ).
cnf(p10,plain,
$false,
inference(resolution,[status(thm)],[p9,p5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN031-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.54 % Computer : n009.cluster.edu
% 0.09/0.54 % Model : x86_64 x86_64
% 0.09/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.54 % Memory : 8046.5625MB
% 0.09/0.54 % OS : Linux 6.8.0-71-generic
% 0.09/0.54 % CPULimit : 300
% 0.09/0.54 % WCLimit : 300
% 0.09/0.54 % DateTime : Thu Sep 24 23:52:14 UTC 2026
% 0.09/0.54 % CPUTime :
% 0.09/0.54 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.73/1.30 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.73/1.30 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------