%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN069-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 03:33:42 PM UTC 2026
% Result : Unsatisfiable 4.94s 1.19s
% Output : Proof 4.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 10 unt; 0 def)
% Number of atoms : 149 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 179 ( 84 ~; 95 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 48 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1,axiom,
( big_k(Y)
| ~ big_h(X,Y)
| ~ big_g(Y)
| big_h(X,f(X))
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f1_nnf,plain,
! [X,Y] :
( big_k(Y)
| ~ big_h(X,Y)
| ~ big_g(Y)
| big_h(X,f(X))
| ~ big_f(X) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] :
( big_k(Y)
| ~ big_h(X,Y)
| ~ big_g(Y)
| big_h(X,f(X))
| ~ big_f(X) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( big_k(X1)
| ~ big_h(X0,X1)
| ~ big_g(X1)
| big_h(X0,f(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(f4,axiom,
big_f(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f4_nnf,plain,
big_f(a),
inference(nnf_transformation,[status(thm)],[f4]) ).
cnf(c4,plain,
big_f(a),
inference(cnf_transformation,[status(esa)],[f4_nnf]) ).
cnf(p14,plain,
( big_k(X0)
| ~ big_h(a,X0)
| ~ big_g(X0)
| big_h(a,f(a)) ),
inference(resolution,[status(thm)],[c1,c4]) ).
cnf(f7,negated_conjecture,
( big_g(g(X))
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f7_nnf,plain,
! [X] :
( big_g(g(X))
| ~ big_f(X) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X] :
( big_g(g(X))
| ~ big_f(X) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( big_g(g(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p11,plain,
big_g(g(a)),
inference(resolution,[status(thm)],[c7,c4]) ).
cnf(p22,plain,
( big_k(g(a))
| ~ big_h(a,g(a))
| big_h(a,f(a)) ),
inference(resolution,[status(thm)],[p14,p11]) ).
cnf(f8,negated_conjecture,
( big_h(X,g(X))
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f8_nnf,plain,
! [X] :
( big_h(X,g(X))
| ~ big_f(X) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X] :
( big_h(X,g(X))
| ~ big_f(X) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( big_h(X0,g(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p9,plain,
big_h(a,g(a)),
inference(resolution,[status(thm)],[c8,c4]) ).
cnf(p23,plain,
( big_k(g(a))
| big_h(a,f(a)) ),
inference(resolution,[status(thm)],[p22,p9]) ).
cnf(f0,axiom,
( big_k(Y)
| ~ big_h(X,Y)
| ~ big_g(Y)
| big_g(f(X))
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f0_nnf,plain,
! [X,Y] :
( big_k(Y)
| ~ big_h(X,Y)
| ~ big_g(Y)
| big_g(f(X))
| ~ big_f(X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] :
( big_k(Y)
| ~ big_h(X,Y)
| ~ big_g(Y)
| big_g(f(X))
| ~ big_f(X) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( big_k(X1)
| ~ big_h(X0,X1)
| ~ big_g(X1)
| big_g(f(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p10,plain,
( big_k(X0)
| ~ big_h(a,X0)
| ~ big_g(X0)
| big_g(f(a)) ),
inference(resolution,[status(thm)],[c0,c4]) ).
cnf(p18,plain,
( big_k(g(a))
| ~ big_h(a,g(a))
| big_g(f(a)) ),
inference(resolution,[status(thm)],[p10,p11]) ).
cnf(p19,plain,
( big_k(g(a))
| big_g(f(a)) ),
inference(resolution,[status(thm)],[p18,p9]) ).
cnf(f5,axiom,
( big_l(X)
| ~ big_h(a,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f5_nnf,plain,
! [X] :
( big_l(X)
| ~ big_h(a,X) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] :
( big_l(X)
| ~ big_h(a,X) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( big_l(X0)
| ~ big_h(a,X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p12,plain,
big_l(g(a)),
inference(resolution,[status(thm)],[c5,p9]) ).
cnf(f3,axiom,
( ~ big_k(X)
| ~ big_l(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f3_nnf,plain,
! [X] :
( ~ big_k(X)
| ~ big_l(X) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( ~ big_k(X)
| ~ big_l(X) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ big_k(X0)
| ~ big_l(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p13,plain,
~ big_k(g(a)),
inference(resolution,[status(thm)],[p12,c3]) ).
cnf(p20,plain,
big_g(f(a)),
inference(resolution,[status(thm)],[p19,p13]) ).
cnf(f6,axiom,
( big_j(a,X)
| ~ big_h(a,X)
| ~ big_g(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f6_nnf,plain,
! [X] :
( big_j(a,X)
| ~ big_h(a,X)
| ~ big_g(X) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X] :
( big_j(a,X)
| ~ big_h(a,X)
| ~ big_g(X) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( big_j(a,X0)
| ~ big_h(a,X0)
| ~ big_g(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p21,plain,
( big_j(a,f(a))
| ~ big_h(a,f(a)) ),
inference(resolution,[status(thm)],[p20,c6]) ).
cnf(p25,plain,
( big_j(a,f(a))
| big_k(g(a)) ),
inference(resolution,[status(thm)],[p23,p21]) ).
cnf(f2,axiom,
( big_k(Y)
| ~ big_h(X,Y)
| ~ big_g(Y)
| ~ big_j(X,f(X))
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f2_nnf,plain,
! [X,Y] :
( big_k(Y)
| ~ big_h(X,Y)
| ~ big_g(Y)
| ~ big_j(X,f(X))
| ~ big_f(X) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( big_k(Y)
| ~ big_h(X,Y)
| ~ big_g(Y)
| ~ big_j(X,f(X))
| ~ big_f(X) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( big_k(X1)
| ~ big_h(X0,X1)
| ~ big_g(X1)
| ~ big_j(X0,f(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p17,plain,
( big_k(X0)
| ~ big_h(a,X0)
| ~ big_g(X0)
| ~ big_j(a,f(a)) ),
inference(resolution,[status(thm)],[c2,c4]) ).
cnf(p27,plain,
( big_k(X0)
| ~ big_h(a,X0)
| ~ big_g(X0)
| big_k(g(a)) ),
inference(resolution,[status(thm)],[p25,p17]) ).
cnf(p28,plain,
( ~ big_h(a,g(a))
| ~ big_g(g(a))
| big_k(g(a)) ),
inference(factoring,[status(thm)],[p27]) ).
cnf(p31,plain,
( ~ big_h(a,g(a))
| big_k(g(a)) ),
inference(resolution,[status(thm)],[p28,p11]) ).
cnf(p33,plain,
big_k(g(a)),
inference(resolution,[status(thm)],[p31,p9]) ).
cnf(p34,plain,
$false,
inference(resolution,[status(thm)],[p33,p13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN069-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.35 % Computer : n018.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Fri Sep 25 00:05:49 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.94/1.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.94/1.19 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------