%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV026-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n012.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 01:38:11 PM UTC 2026
% Result : Unsatisfiable 20.56s 3.08s
% Output : Proof 20.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 72 ( 25 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f89,axiom,
( ~ p_Wr_error(X_t_42)
| p_Wr_error(plus(X_t_42,n1))
| p_Wr(X_t_42)
| p_Reset(X_t_42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_90) ).
fof(f89_nnf,plain,
! [X_t_42] :
( ~ p_Wr_error(X_t_42)
| p_Wr_error(plus(X_t_42,n1))
| p_Wr(X_t_42)
| p_Reset(X_t_42) ),
inference(nnf_transformation,[status(thm)],[f89]) ).
fof(f89_sk,plain,
! [X_t_42] :
( ~ p_Wr_error(X_t_42)
| p_Wr_error(plus(X_t_42,n1))
| p_Wr(X_t_42)
| p_Reset(X_t_42) ),
inference(skolemisation,[status(esa)],[f89_nnf]) ).
cnf(c89,plain,
( ~ p_Wr_error(X0)
| p_Wr_error(plus(X0,n1))
| p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(esa)],[f89_sk]) ).
cnf(f88,axiom,
( p_Wr_error(X_t_42)
| ~ p_Wr_error(plus(X_t_42,n1))
| p_Wr(X_t_42)
| p_Reset(X_t_42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_89) ).
fof(f88_nnf,plain,
! [X_t_42] :
( p_Wr_error(X_t_42)
| ~ p_Wr_error(plus(X_t_42,n1))
| p_Wr(X_t_42)
| p_Reset(X_t_42) ),
inference(nnf_transformation,[status(thm)],[f88]) ).
fof(f88_sk,plain,
! [X_t_42] :
( p_Wr_error(X_t_42)
| ~ p_Wr_error(plus(X_t_42,n1))
| p_Wr(X_t_42)
| p_Reset(X_t_42) ),
inference(skolemisation,[status(esa)],[f88_nnf]) ).
cnf(c88,plain,
( p_Wr_error(X0)
| ~ p_Wr_error(plus(X0,n1))
| p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(esa)],[f88_sk]) ).
cnf(f93,negated_conjecture,
( p_Wr_error(plus(t_139,n1))
| p_Wr_error(t_139) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f93_nnf,plain,
( p_Wr_error(plus(t_139,n1))
| p_Wr_error(t_139) ),
inference(nnf_transformation,[status(thm)],[f93]) ).
fof(f93_sk,plain,
( p_Wr_error(plus(t_139,n1))
| p_Wr_error(t_139) ),
inference(skolemisation,[status(esa)],[f93_nnf]) ).
cnf(c93,plain,
( p_Wr_error(plus(t_139,n1))
| p_Wr_error(t_139) ),
inference(cnf_transformation,[status(esa)],[f93_sk]) ).
cnf(p1274,plain,
( p_Wr_error(t_139)
| p_Wr_error(t_139)
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[c88,c93]) ).
cnf(p1280,plain,
( p_Wr_error(t_139)
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(factoring,[status(thm)],[p1274]) ).
cnf(f90,negated_conjecture,
~ p_Wr(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f90_nnf,plain,
~ p_Wr(t_139),
inference(nnf_transformation,[status(thm)],[f90]) ).
fof(f90_sk,plain,
~ p_Wr(t_139),
inference(skolemisation,[status(esa)],[f90_nnf]) ).
cnf(c90,plain,
~ p_Wr(t_139),
inference(cnf_transformation,[status(esa)],[f90_sk]) ).
cnf(p1281,plain,
( p_Wr_error(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[p1280,c90]) ).
cnf(p1286,plain,
( p_Reset(t_139)
| p_Wr_error(plus(t_139,n1))
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[c89,p1281]) ).
cnf(p1287,plain,
( p_Wr_error(plus(t_139,n1))
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(factoring,[status(thm)],[p1286]) ).
cnf(f92,negated_conjecture,
( ~ p_Wr_error(plus(t_139,n1))
| ~ p_Wr_error(t_139) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f92_nnf,plain,
( ~ p_Wr_error(plus(t_139,n1))
| ~ p_Wr_error(t_139) ),
inference(nnf_transformation,[status(thm)],[f92]) ).
fof(f92_sk,plain,
( ~ p_Wr_error(plus(t_139,n1))
| ~ p_Wr_error(t_139) ),
inference(skolemisation,[status(esa)],[f92_nnf]) ).
cnf(c92,plain,
( ~ p_Wr_error(plus(t_139,n1))
| ~ p_Wr_error(t_139) ),
inference(cnf_transformation,[status(esa)],[f92_sk]) ).
cnf(p1282,plain,
( ~ p_Wr_error(plus(t_139,n1))
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[p1281,c92]) ).
cnf(p1289,plain,
( p_Reset(t_139)
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[p1287,p1282]) ).
cnf(p1291,plain,
( p_Wr(t_139)
| p_Reset(t_139) ),
inference(factoring,[status(thm)],[p1289]) ).
cnf(p1306,plain,
p_Reset(t_139),
inference(resolution,[status(thm)],[p1291,c90]) ).
cnf(f91,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f91_nnf,plain,
~ p_Reset(t_139),
inference(nnf_transformation,[status(thm)],[f91]) ).
fof(f91_sk,plain,
~ p_Reset(t_139),
inference(skolemisation,[status(esa)],[f91_nnf]) ).
cnf(c91,plain,
~ p_Reset(t_139),
inference(cnf_transformation,[status(esa)],[f91_sk]) ).
cnf(p1307,plain,
$false,
inference(resolution,[status(thm)],[p1306,c91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : HWV026-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Wed Sep 23 16:28:31 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 20.56/3.08 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.56/3.08 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------