%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV021-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n002.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 01:38:06 PM UTC 2026
% Result : Unsatisfiable 226.26s 34.93s
% Output : Proof 226.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 16 unt; 0 def)
% Number of atoms : 113 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 122 ( 52 ~; 70 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f69,axiom,
( ~ p_Rd_error(plus(X_t_42,n1))
| ~ gt(int_level(X_t_42),n0)
| ~ p_Rd(X_t_42)
| p_Wr(X_t_42)
| p_Reset(X_t_42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).
fof(f69_nnf,plain,
! [X_t_42] :
( ~ p_Rd_error(plus(X_t_42,n1))
| ~ gt(int_level(X_t_42),n0)
| ~ p_Rd(X_t_42)
| p_Wr(X_t_42)
| p_Reset(X_t_42) ),
inference(nnf_transformation,[status(thm)],[f69]) ).
fof(f69_sk,plain,
! [X_t_42] :
( ~ p_Rd_error(plus(X_t_42,n1))
| ~ gt(int_level(X_t_42),n0)
| ~ p_Rd(X_t_42)
| p_Wr(X_t_42)
| p_Reset(X_t_42) ),
inference(skolemisation,[status(esa)],[f69_nnf]) ).
cnf(c69,plain,
( ~ p_Rd_error(plus(X0,n1))
| ~ gt(int_level(X0),n0)
| ~ p_Rd(X0)
| p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(esa)],[f69_sk]) ).
cnf(f91,negated_conjecture,
p_Rd(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f91_nnf,plain,
p_Rd(t_139),
inference(nnf_transformation,[status(thm)],[f91]) ).
cnf(c91,plain,
p_Rd(t_139),
inference(cnf_transformation,[status(esa)],[f91_nnf]) ).
cnf(p913,plain,
( ~ p_Rd_error(plus(t_139,n1))
| ~ gt(int_level(t_139),n0)
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[c69,c91]) ).
cnf(f14,axiom,
( gt(X_25,n0)
| X_25 = n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f14_nnf,plain,
! [X_25] :
( gt(X_25,n0)
| X_25 = n0 ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X_25] :
( gt(X_25,n0)
| X_25 = n0 ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( gt(X0,n0)
| X0 = n0 ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p915,plain,
( int_level(t_139) = n0
| ~ p_Rd_error(plus(t_139,n1))
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[p913,c14]) ).
cnf(f90,negated_conjecture,
p_Rd_error(plus(t_139,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f90_nnf,plain,
p_Rd_error(plus(t_139,n1)),
inference(nnf_transformation,[status(thm)],[f90]) ).
cnf(c90,plain,
p_Rd_error(plus(t_139,n1)),
inference(cnf_transformation,[status(esa)],[f90_nnf]) ).
cnf(p935,plain,
( int_level(t_139) = n0
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[p915,c90]) ).
cnf(f23,axiom,
( p_Empty(X_t_35)
| int_level(X_t_35) != n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f23_nnf,plain,
! [X_t_35] :
( p_Empty(X_t_35)
| int_level(X_t_35) != n0 ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [X_t_35] :
( p_Empty(X_t_35)
| int_level(X_t_35) != n0 ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( p_Empty(X0)
| int_level(X0) != n0 ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p938,plain,
( p_Empty(t_139)
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[p935,c23]) ).
cnf(f51,axiom,
( ~ p_Rd_error(plus(X_t_42,n1))
| ~ gt(int_level(X_t_42),n0)
| ~ p_Rd(X_t_42)
| ~ p_Wr(X_t_42)
| p_Reset(X_t_42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).
fof(f51_nnf,plain,
! [X_t_42] :
( ~ p_Rd_error(plus(X_t_42,n1))
| ~ gt(int_level(X_t_42),n0)
| ~ p_Rd(X_t_42)
| ~ p_Wr(X_t_42)
| p_Reset(X_t_42) ),
inference(nnf_transformation,[status(thm)],[f51]) ).
fof(f51_sk,plain,
! [X_t_42] :
( ~ p_Rd_error(plus(X_t_42,n1))
| ~ gt(int_level(X_t_42),n0)
| ~ p_Rd(X_t_42)
| ~ p_Wr(X_t_42)
| p_Reset(X_t_42) ),
inference(skolemisation,[status(esa)],[f51_nnf]) ).
cnf(c51,plain,
( ~ p_Rd_error(plus(X0,n1))
| ~ gt(int_level(X0),n0)
| ~ p_Rd(X0)
| ~ p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(esa)],[f51_sk]) ).
cnf(p942,plain,
( ~ p_Rd_error(plus(t_139,n1))
| ~ gt(int_level(t_139),n0)
| ~ p_Rd(t_139)
| p_Reset(t_139)
| p_Empty(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[p938,c51]) ).
cnf(p24396,plain,
( ~ p_Rd_error(plus(t_139,n1))
| ~ gt(int_level(t_139),n0)
| ~ p_Rd(t_139)
| p_Empty(t_139)
| p_Reset(t_139) ),
inference(factoring,[status(thm)],[p942]) ).
cnf(p24397,plain,
( ~ p_Rd_error(plus(t_139,n1))
| ~ gt(int_level(t_139),n0)
| p_Empty(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[p24396,c91]) ).
cnf(p24399,plain,
( int_level(t_139) = n0
| ~ p_Rd_error(plus(t_139,n1))
| p_Empty(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[p24397,c14]) ).
cnf(p24430,plain,
( int_level(t_139) = n0
| p_Empty(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[p24399,c90]) ).
cnf(p24433,plain,
( p_Empty(t_139)
| p_Empty(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[p24430,c23]) ).
cnf(p24440,plain,
( p_Empty(t_139)
| p_Reset(t_139) ),
inference(factoring,[status(thm)],[p24433]) ).
cnf(f92,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f92_nnf,plain,
~ p_Reset(t_139),
inference(nnf_transformation,[status(thm)],[f92]) ).
fof(f92_sk,plain,
~ p_Reset(t_139),
inference(skolemisation,[status(esa)],[f92_nnf]) ).
cnf(c92,plain,
~ p_Reset(t_139),
inference(cnf_transformation,[status(esa)],[f92_sk]) ).
cnf(p24442,plain,
p_Empty(t_139),
inference(resolution,[status(thm)],[p24440,c92]) ).
cnf(f93,negated_conjecture,
~ p_Empty(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f93_nnf,plain,
~ p_Empty(t_139),
inference(nnf_transformation,[status(thm)],[f93]) ).
fof(f93_sk,plain,
~ p_Empty(t_139),
inference(skolemisation,[status(esa)],[f93_nnf]) ).
cnf(c93,plain,
~ p_Empty(t_139),
inference(cnf_transformation,[status(esa)],[f93_sk]) ).
cnf(p24443,plain,
$false,
inference(resolution,[status(thm)],[p24442,c93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV021-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.35 % Computer : n002.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 : Wed Sep 23 16:29:03 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 226.26/34.93 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 226.26/34.93 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------