%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN328-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n010.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 03:34:22 PM UTC 2026
% Result : Unsatisfiable 3.59s 1.09s
% Output : Proof 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 5 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 98 ( 40 ~; 58 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 44 ( 4 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f8,negated_conjecture,
( h(X)
| g(y(X))
| ~ f(y(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f8_nnf,plain,
! [X] :
( h(X)
| g(y(X))
| ~ f(y(X)) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X] :
( h(X)
| g(y(X))
| ~ f(y(X)) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( h(X0)
| g(y(X0))
| ~ f(y(X0)) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(f1,negated_conjecture,
( f(X)
| f(y(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f1_nnf,plain,
! [X] :
( f(X)
| f(y(X)) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X] :
( f(X)
| f(y(X)) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( f(X0)
| f(y(X0)) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p15,plain,
( f(X0)
| h(X0)
| g(y(X0)) ),
inference(resolution,[status(thm)],[c8,c1]) ).
cnf(f2,negated_conjecture,
( f(X)
| ~ g(y(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f2_nnf,plain,
! [X] :
( f(X)
| ~ g(y(X)) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( f(X)
| ~ g(y(X)) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( f(X0)
| ~ g(y(X0)) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p17,plain,
( f(X0)
| f(X0)
| h(X0) ),
inference(resolution,[status(thm)],[p15,c2]) ).
cnf(p18,plain,
( f(X0)
| h(X0) ),
inference(factoring,[status(thm)],[p17]) ).
cnf(f9,negated_conjecture,
( h(X)
| ~ h(y(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f9_nnf,plain,
! [X] :
( h(X)
| ~ h(y(X)) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X] :
( h(X)
| ~ h(y(X)) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( h(X0)
| ~ h(y(X0)) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p19,plain,
( h(X0)
| f(y(X0)) ),
inference(resolution,[status(thm)],[p18,c9]) ).
cnf(p23,plain,
( h(X0)
| g(y(X0))
| h(X0) ),
inference(resolution,[status(thm)],[p19,c8]) ).
cnf(p30,plain,
( g(y(X0))
| h(X0) ),
inference(factoring,[status(thm)],[p23]) ).
cnf(f3,negated_conjecture,
( ~ g(X)
| h(y(X))
| ~ f(y(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f3_nnf,plain,
! [X] :
( ~ g(X)
| h(y(X))
| ~ f(y(X)) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( ~ g(X)
| h(y(X))
| ~ f(y(X)) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ g(X0)
| h(y(X0))
| ~ f(y(X0)) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p22,plain,
( ~ g(X0)
| h(y(X0))
| h(X0) ),
inference(resolution,[status(thm)],[p19,c3]) ).
cnf(p31,plain,
( h(y(y(X0)))
| h(y(X0))
| h(X0) ),
inference(resolution,[status(thm)],[p30,p22]) ).
cnf(p33,plain,
( h(y(X0))
| h(y(X0))
| h(X0) ),
inference(resolution,[status(thm)],[p31,c9]) ).
cnf(p34,plain,
( h(y(X0))
| h(X0) ),
inference(factoring,[status(thm)],[p33]) ).
cnf(p36,plain,
( h(X0)
| h(X0) ),
inference(resolution,[status(thm)],[p34,c9]) ).
cnf(p39,plain,
h(X0),
inference(factoring,[status(thm)],[p36]) ).
cnf(f5,negated_conjecture,
( g(X)
| ~ h(y(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f5_nnf,plain,
! [X] :
( g(X)
| ~ h(y(X)) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] :
( g(X)
| ~ h(y(X)) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( g(X0)
| ~ h(y(X0)) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p40,plain,
g(X0),
inference(resolution,[status(thm)],[p39,c5]) ).
cnf(p41,plain,
f(X0),
inference(resolution,[status(thm)],[p40,c2]) ).
cnf(f10,negated_conjecture,
( ~ h(z(X))
| ~ g(z(X))
| ~ f(z(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f10_nnf,plain,
! [X] :
( ~ h(z(X))
| ~ g(z(X))
| ~ f(z(X)) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X] :
( ~ h(z(X))
| ~ g(z(X))
| ~ f(z(X)) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( ~ h(z(X0))
| ~ g(z(X0))
| ~ f(z(X0)) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p42,plain,
( ~ h(z(X0))
| ~ g(z(X0)) ),
inference(resolution,[status(thm)],[p41,c10]) ).
cnf(p43,plain,
~ h(z(X0)),
inference(resolution,[status(thm)],[p42,p40]) ).
cnf(p44,plain,
$false,
inference(resolution,[status(thm)],[p43,p39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN328-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 00:51:29 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.59/1.09 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.59/1.09 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------