%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL893+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 : Mon Sep 7 12:14:48 PM UTC 2026
% Result : Theorem 66.25s 8.70s
% Output : CNFRefutation 66.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 20 unt; 0 def)
% Number of atoms : 42 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 11 ~; 8 |; 1 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 1 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals_15,plain,
! [X17] :
( h(X17) = X17
=> X17 = '0' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
fof(goals_15_negated,plain,
~ ! [X17] :
( h(X17) = X17
=> X17 = '0' ),
inference(negate_conjecture,[status(cth)],[goals_15]) ).
cnf(15,plain,
h(sK1) = sK1,
inference(cnf,[status(esa)],[goals_15_negated]) ).
cnf(l0,plain,
h(sK1) = sK1,
inference(instantiation,[status(thm)],[15]) ).
fof(sos_07,plain,
! [X3,X4] :
( ( '>='(X3,X4)
& '>='(X4,X3) )
=> X3 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
cnf(6,plain,
( ~ '>='(X0,X1)
| ~ '>='(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[sos_07]) ).
cnf(l22,plain,
( ~ '>='(sK1,'==>'(h(sK1),sK1))
| ~ '>='('==>'(h(sK1),sK1),sK1)
| sK1 = '==>'(h(sK1),sK1) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(16,plain,
sK1 != '0',
inference(cnf,[status(esa)],[goals_15_negated]) ).
cnf(l61,plain,
sK1 != '0',
inference(instantiation,[status(thm)],[16]) ).
cnf(l79,plain,
( ~ '>='('==>'(sK1,'+'(sK1,'0')),'0')
| ~ '>='('0','==>'(sK1,'+'(sK1,'0')))
| '==>'(sK1,'+'(sK1,'0')) = '0' ),
inference(instantiation,[status(thm)],[6]) ).
fof(sos_03,plain,
! [A] : '+'(A,'0') = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
cnf(2,plain,
'+'(X0,'0') = X0,
inference(cnf,[status(esa)],[sos_03]) ).
cnf(l12,plain,
'+'(sK1,'0') = sK1,
inference(instantiation,[status(thm)],[2]) ).
fof(sos_08,plain,
! [X5,X6,X7] :
( '>='('+'(X5,X6),X7)
<=> '>='(X6,'==>'(X5,X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
cnf(7,plain,
( ~ '>='('+'(X0,X1),X2)
| '>='(X1,'==>'(X0,X2)) ),
inference(cnf,[status(esa)],[sos_08]) ).
cnf(l84,plain,
( ~ '>='('+'(sK1,'0'),'+'(sK1,'0'))
| '>='('0','==>'(sK1,'+'(sK1,'0'))) ),
inference(instantiation,[status(thm)],[7]) ).
fof(sos_14,plain,
! [A] : h(A) = '==>'(h(A),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).
cnf(14,plain,
h(X0) = '==>'(h(X0),X0),
inference(cnf,[status(esa)],[sos_14]) ).
cnf(l31,plain,
h(sK1) = '==>'(h(sK1),sK1),
inference(instantiation,[status(thm)],[14]) ).
fof(sos_05,plain,
! [A] : '>='(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
cnf(4,plain,
'>='(X0,X0),
inference(cnf,[status(esa)],[sos_05]) ).
cnf(l49,plain,
'>='(h(sK1),h(sK1)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l48,plain,
'>='(h(sK1),h(sK1)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l38,plain,
h(sK1) = '==>'(h(sK1),sK1),
inference(instantiation,[status(thm)],[14]) ).
cnf(l87,plain,
'>='('+'(sK1,'0'),'+'(sK1,'0')),
inference(instantiation,[status(thm)],[4]) ).
fof(sos_09,plain,
! [A] : '>='(A,'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09) ).
cnf(9,plain,
'>='(X0,'0'),
inference(cnf,[status(esa)],[sos_09]) ).
cnf(l89,plain,
'>='('==>'(sK1,'+'(sK1,'0')),'0'),
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l22,l61,l79,l12,l84,l31,l49,l48,l38,l87,l89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL893+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 6 00:27:08 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % launching worker at depth: 1
% 0.10/0.37 % launching worker at depth: 7
% 0.10/0.37 % launching worker at depth: 2
% 0.10/0.37 % launching worker at depth: 4
% 0.10/0.37 % launching worker at depth: 5
% 0.10/0.37 % launching worker at depth: 6
% 0.10/0.37 % launching worker at depth: 8
% 0.10/0.37 % launching worker at depth: 3
% 0.10/0.37 % launching worker at depth: 9
% 0.10/0.37 % launching worker at depth: 10
% 0.10/0.43 % launching worker at depth: 11
% 66.25/8.70 % SZS status Theorem for theBenchmark
% 66.25/8.70 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------