%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN077-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 03:33:45 PM UTC 2026
% Result : Unsatisfiable 15.76s 2.72s
% Output : Proof 15.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 47 ( 4 unt; 0 def)
% Number of atoms : 123 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 128 ( 52 ~; 76 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f5,negated_conjecture,
( big_f(Y,a)
| big_f(i(Y,X),X)
| ~ big_f(X,h(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f5_nnf,plain,
! [X,Y] :
( big_f(Y,a)
| big_f(i(Y,X),X)
| ~ big_f(X,h(Y)) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X,Y] :
( big_f(Y,a)
| big_f(i(Y,X),X)
| ~ big_f(X,h(Y)) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( big_f(X1,a)
| big_f(i(X1,X0),X0)
| ~ big_f(X0,h(X1)) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(f4,negated_conjecture,
( big_f(X,a)
| big_f(X,h(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f4_nnf,plain,
! [X] :
( big_f(X,a)
| big_f(X,h(X)) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] :
( big_f(X,a)
| big_f(X,h(X)) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( big_f(X0,a)
| big_f(X0,h(X0)) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p8,plain,
( big_f(X0,a)
| big_f(X0,a)
| big_f(i(X0,X0),X0) ),
inference(resolution,[status(thm)],[c5,c4]) ).
cnf(p9,plain,
( big_f(X0,a)
| big_f(i(X0,X0),X0) ),
inference(factoring,[status(thm)],[p8]) ).
cnf(f2,negated_conjecture,
( big_f(g(X,Y),Y)
| ~ big_f(X,Y)
| ~ big_f(X,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f2_nnf,plain,
! [X,Y] :
( big_f(g(X,Y),Y)
| ~ big_f(X,Y)
| ~ big_f(X,a) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( big_f(g(X,Y),Y)
| ~ big_f(X,Y)
| ~ big_f(X,a) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( big_f(g(X0,X1),X1)
| ~ big_f(X0,X1)
| ~ big_f(X0,a) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p10,plain,
( big_f(g(i(a,a),X0),X0)
| ~ big_f(i(a,a),X0)
| big_f(a,a) ),
inference(resolution,[status(thm)],[p9,c2]) ).
cnf(f6,negated_conjecture,
( ~ big_f(Y,h(X))
| big_f(i(X,Y),h(X))
| big_f(X,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f6_nnf,plain,
! [X,Y] :
( ~ big_f(Y,h(X))
| big_f(i(X,Y),h(X))
| big_f(X,a) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y] :
( ~ big_f(Y,h(X))
| big_f(i(X,Y),h(X))
| big_f(X,a) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( ~ big_f(X1,h(X0))
| big_f(i(X0,X1),h(X0))
| big_f(X0,a) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p20,plain,
( big_f(X0,a)
| big_f(i(X0,X0),h(X0))
| big_f(X0,a) ),
inference(resolution,[status(thm)],[c6,c4]) ).
cnf(p22,plain,
( big_f(i(X0,X0),h(X0))
| big_f(X0,a) ),
inference(factoring,[status(thm)],[p20]) ).
cnf(p41,plain,
( big_f(a,a)
| big_f(g(i(a,a),h(a)),h(a))
| big_f(a,a) ),
inference(resolution,[status(thm)],[p10,p22]) ).
cnf(p87,plain,
( big_f(g(i(a,a),h(a)),h(a))
| big_f(a,a) ),
inference(factoring,[status(thm)],[p41]) ).
cnf(p88,plain,
( big_f(a,a)
| big_f(i(a,g(i(a,a),h(a))),g(i(a,a),h(a)))
| big_f(a,a) ),
inference(resolution,[status(thm)],[p87,c5]) ).
cnf(p445,plain,
( big_f(i(a,g(i(a,a),h(a))),g(i(a,a),h(a)))
| big_f(a,a) ),
inference(factoring,[status(thm)],[p88]) ).
cnf(f3,negated_conjecture,
( ~ big_f(Z,Y)
| ~ big_f(Z,g(X,Y))
| ~ big_f(X,Y)
| ~ big_f(X,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f3_nnf,plain,
! [X,Y,Z] :
( ~ big_f(Z,Y)
| ~ big_f(Z,g(X,Y))
| ~ big_f(X,Y)
| ~ big_f(X,a) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X,Y,Z] :
( ~ big_f(Z,Y)
| ~ big_f(Z,g(X,Y))
| ~ big_f(X,Y)
| ~ big_f(X,a) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ big_f(X2,X1)
| ~ big_f(X2,g(X0,X1))
| ~ big_f(X0,X1)
| ~ big_f(X0,a) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p28,plain,
( big_f(a,a)
| ~ big_f(X1,X0)
| ~ big_f(X1,g(i(a,a),X0))
| ~ big_f(i(a,a),X0) ),
inference(resolution,[status(thm)],[c3,p9]) ).
cnf(p107,plain,
( big_f(a,a)
| big_f(a,a)
| ~ big_f(X0,h(a))
| ~ big_f(X0,g(i(a,a),h(a))) ),
inference(resolution,[status(thm)],[p28,p22]) ).
cnf(p256,plain,
( big_f(a,a)
| ~ big_f(X0,h(a))
| ~ big_f(X0,g(i(a,a),h(a))) ),
inference(factoring,[status(thm)],[p107]) ).
cnf(p446,plain,
( big_f(a,a)
| ~ big_f(i(a,g(i(a,a),h(a))),h(a))
| big_f(a,a) ),
inference(resolution,[status(thm)],[p445,p256]) ).
cnf(p447,plain,
( ~ big_f(i(a,g(i(a,a),h(a))),h(a))
| big_f(a,a) ),
inference(factoring,[status(thm)],[p446]) ).
cnf(p89,plain,
( big_f(i(a,g(i(a,a),h(a))),h(a))
| big_f(a,a)
| big_f(a,a) ),
inference(resolution,[status(thm)],[p87,c6]) ).
cnf(p138,plain,
( big_f(i(a,g(i(a,a),h(a))),h(a))
| big_f(a,a) ),
inference(factoring,[status(thm)],[p89]) ).
cnf(p448,plain,
( big_f(a,a)
| big_f(a,a) ),
inference(resolution,[status(thm)],[p447,p138]) ).
cnf(p449,plain,
big_f(a,a),
inference(factoring,[status(thm)],[p448]) ).
cnf(p27,plain,
( ~ big_f(X0,g(X0,X1))
| ~ big_f(X0,X1)
| ~ big_f(X0,a) ),
inference(factoring,[status(thm)],[c3]) ).
cnf(p460,plain,
( ~ big_f(a,g(a,X0))
| ~ big_f(a,X0) ),
inference(resolution,[status(thm)],[p449,p27]) ).
cnf(f1,axiom,
( big_f(X,f(Y))
| X != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f1_nnf,plain,
! [X,Y] :
( big_f(X,f(Y))
| X != Y ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] :
( big_f(X,f(Y))
| X != Y ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( big_f(X0,f(X1))
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p17,plain,
big_f(X0,f(X0)),
inference(equality_resolution,[status(thm)],[c1]) ).
cnf(p485,plain,
~ big_f(a,a),
inference(resolution,[status(thm)],[p460,p17]) ).
cnf(p489,plain,
$false,
inference(resolution,[status(thm)],[p485,p449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN077-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 00:09:28 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 15.76/2.72 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.76/2.72 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------