%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n008.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 03:33:18 PM UTC 2026
% Result : Unsatisfiable 3.92s 1.08s
% Output : Proof 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 20 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 24 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 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 : 57 ( 17 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f3,negated_conjecture,
( q4(X,f(Y))
| q3(f(X),Y)
| ~ p2(X,f(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f3_nnf,plain,
! [X,Y] :
( q4(X,f(Y))
| q3(f(X),Y)
| ~ p2(X,f(Y)) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X,Y] :
( q4(X,f(Y))
| q3(f(X),Y)
| ~ p2(X,f(Y)) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( q4(X0,f(X1))
| q3(f(X0),X1)
| ~ p2(X0,f(X1)) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(f0,negated_conjecture,
( q2(X,f(Y))
| q1(f(X),Y)
| ~ p1(X,f(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f0_nnf,plain,
! [X,Y] :
( q2(X,f(Y))
| q1(f(X),Y)
| ~ p1(X,f(Y)) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] :
( q2(X,f(Y))
| q1(f(X),Y)
| ~ p1(X,f(Y)) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( q2(X0,f(X1))
| q1(f(X0),X1)
| ~ p1(X0,f(X1)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(f1,negated_conjecture,
p1(a,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f1_nnf,plain,
! [Y] : p1(a,Y),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [Y] : p1(a,Y),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
p1(a,X0),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p7,plain,
( q2(a,f(X0))
| q1(f(a),X0) ),
inference(resolution,[status(thm)],[c0,c1]) ).
cnf(f2,negated_conjecture,
~ q2(X,f(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f2_nnf,plain,
! [X,Y] : ~ q2(X,f(Y)),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] : ~ q2(X,f(Y)),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
~ q2(X0,f(X1)),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p8,plain,
q1(f(a),X0),
inference(resolution,[status(thm)],[p7,c2]) ).
cnf(f6,negated_conjecture,
( p2(f(X),Y)
| ~ q1(X,f(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f6_nnf,plain,
! [X,Y] :
( p2(f(X),Y)
| ~ q1(X,f(Y)) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y] :
( p2(f(X),Y)
| ~ q1(X,f(Y)) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( p2(f(X0),X1)
| ~ q1(X0,f(X1)) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p9,plain,
p2(f(f(a)),X0),
inference(resolution,[status(thm)],[p8,c6]) ).
cnf(p10,plain,
( q4(f(f(a)),f(X0))
| q3(f(f(f(a))),X0) ),
inference(resolution,[status(thm)],[c3,p9]) ).
cnf(f5,negated_conjecture,
~ q4(f(f(X)),f(g(f(Y)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f5_nnf,plain,
! [X,Y] : ~ q4(f(f(X)),f(g(f(Y)))),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X,Y] : ~ q4(f(f(X)),f(g(f(Y)))),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
~ q4(f(f(X0)),f(g(f(X1)))),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p11,plain,
q3(f(f(f(a))),g(f(X0))),
inference(resolution,[status(thm)],[p10,c5]) ).
cnf(f4,negated_conjecture,
~ q3(X,g(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f4_nnf,plain,
! [X,Y] : ~ q3(X,g(Y)),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X,Y] : ~ q3(X,g(Y)),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
~ q3(X0,g(X1)),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p12,plain,
$false,
inference(resolution,[status(thm)],[p11,c4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 23:50:39 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.92/1.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.92/1.08 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
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