%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN070-1 : 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 4.73s 1.05s
% Output : Proof 4.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 11 unt; 0 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 159 ( 66 ~; 93 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 38 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f6,axiom,
( ~ big_j(Y,X)
| ~ big_h(X,Y)
| ~ big_f(Y)
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f6_nnf,plain,
! [X,Y] :
( ~ big_j(Y,X)
| ~ big_h(X,Y)
| ~ big_f(Y)
| ~ big_f(X) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y] :
( ~ big_j(Y,X)
| ~ big_h(X,Y)
| ~ big_f(Y)
| ~ big_f(X) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( ~ big_j(X1,X0)
| ~ big_h(X0,X1)
| ~ big_f(X1)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(f3,axiom,
( big_f(a)
| big_g(X)
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f3_nnf,plain,
! [X] :
( big_f(a)
| big_g(X)
| ~ big_f(X) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( big_f(a)
| big_g(X)
| ~ big_f(X) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( big_f(a)
| big_g(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(f7,negated_conjecture,
big_f(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f7_nnf,plain,
big_f(b),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
big_f(b),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(p9,plain,
( big_f(a)
| big_g(b) ),
inference(resolution,[status(thm)],[c3,c7]) ).
cnf(f8,negated_conjecture,
~ big_g(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f8_nnf,plain,
~ big_g(b),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
~ big_g(b),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
~ big_g(b),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p10,plain,
big_f(a),
inference(resolution,[status(thm)],[p9,c8]) ).
cnf(f0,axiom,
( big_g(X)
| big_f(f(X))
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f0_nnf,plain,
! [X] :
( big_g(X)
| big_f(f(X))
| ~ big_f(X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] :
( big_g(X)
| big_f(f(X))
| ~ big_f(X) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( big_g(X0)
| big_f(f(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p12,plain,
( big_g(a)
| big_f(f(a)) ),
inference(resolution,[status(thm)],[p10,c0]) ).
cnf(p54,plain,
( big_g(a)
| ~ big_j(X0,f(a))
| ~ big_h(f(a),X0)
| ~ big_f(X0) ),
inference(resolution,[status(thm)],[c6,p12]) ).
cnf(p106,plain,
( big_g(a)
| ~ big_j(a,f(a))
| ~ big_h(f(a),a) ),
inference(resolution,[status(thm)],[p54,p10]) ).
cnf(f1,axiom,
( big_g(X)
| big_h(f(X),X)
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f1_nnf,plain,
! [X] :
( big_g(X)
| big_h(f(X),X)
| ~ big_f(X) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X] :
( big_g(X)
| big_h(f(X),X)
| ~ big_f(X) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( big_g(X0)
| big_h(f(X0),X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p17,plain,
( big_g(a)
| big_h(f(a),a) ),
inference(resolution,[status(thm)],[c1,p10]) ).
cnf(p114,plain,
( big_g(a)
| big_g(a)
| ~ big_j(a,f(a)) ),
inference(resolution,[status(thm)],[p106,p17]) ).
cnf(p115,plain,
( big_g(a)
| ~ big_j(a,f(a)) ),
inference(factoring,[status(thm)],[p114]) ).
cnf(f5,axiom,
( big_j(a,Y)
| big_g(Y)
| ~ big_f(Y)
| big_g(X)
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f5_nnf,plain,
! [X,Y] :
( big_j(a,Y)
| big_g(Y)
| ~ big_f(Y)
| big_g(X)
| ~ big_f(X) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X,Y] :
( big_j(a,Y)
| big_g(Y)
| ~ big_f(Y)
| big_g(X)
| ~ big_f(X) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( big_j(a,X1)
| big_g(X1)
| ~ big_f(X1)
| big_g(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p39,plain,
( big_j(a,X0)
| big_g(X0)
| ~ big_f(X0)
| big_g(a) ),
inference(resolution,[status(thm)],[c5,p10]) ).
cnf(p78,plain,
( big_g(a)
| big_j(a,f(a))
| big_g(f(a))
| big_g(a) ),
inference(resolution,[status(thm)],[p39,p12]) ).
cnf(p85,plain,
( big_j(a,f(a))
| big_g(f(a))
| big_g(a) ),
inference(factoring,[status(thm)],[p78]) ).
cnf(p116,plain,
( big_g(f(a))
| big_g(a)
| big_g(a) ),
inference(resolution,[status(thm)],[p115,p85]) ).
cnf(p117,plain,
( big_g(f(a))
| big_g(a) ),
inference(factoring,[status(thm)],[p116]) ).
cnf(f2,axiom,
( big_g(X)
| ~ big_g(f(X))
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f2_nnf,plain,
! [X] :
( big_g(X)
| ~ big_g(f(X))
| ~ big_f(X) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( big_g(X)
| ~ big_g(f(X))
| ~ big_f(X) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( big_g(X0)
| ~ big_g(f(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p24,plain,
( big_g(a)
| ~ big_g(f(a)) ),
inference(resolution,[status(thm)],[c2,p10]) ).
cnf(p118,plain,
( big_g(a)
| big_g(a) ),
inference(resolution,[status(thm)],[p117,p24]) ).
cnf(p119,plain,
big_g(a),
inference(factoring,[status(thm)],[p118]) ).
cnf(f4,axiom,
( ~ big_g(a)
| big_g(X)
| ~ big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f4_nnf,plain,
! [X] :
( ~ big_g(a)
| big_g(X)
| ~ big_f(X) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] :
( ~ big_g(a)
| big_g(X)
| ~ big_f(X) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ~ big_g(a)
| big_g(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p29,plain,
( ~ big_g(a)
| big_g(b) ),
inference(resolution,[status(thm)],[c4,c7]) ).
cnf(p120,plain,
big_g(b),
inference(resolution,[status(thm)],[p119,p29]) ).
cnf(p122,plain,
$false,
inference(resolution,[status(thm)],[p120,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN070-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.06/0.34 % Computer : n018.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Fri Sep 25 00:06:04 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.06/0.34 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.73/1.05 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.73/1.05 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------