%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD013-5 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 11:55:15 AM UTC 2025
% Result : Unsatisfiable 47.36s 6.31s
% Output : CNFRefutation 47.36s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named sum_7)
% Comments :
%------------------------------------------------------------------------------
cnf(32,plain,
sum(additive_identity,a,b),
inference(cnf,[status(esa)],[sum_7]) ).
cnf(l0,plain,
sum(additive_identity,a,b),
inference(instantiation,[status(thm)],[32]) ).
cnf(1,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X1,X5,X3)
| sum(X2,X5,X4) ),
inference(cnf,[status(esa)],[associativity_addition_2]) ).
cnf(l1,plain,
( ~ sum(additive_identity,a,b)
| ~ sum(additive_identity,a,b)
| ~ sum(a,additive_identity,a)
| sum(b,additive_identity,b) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_addition]) ).
cnf(l7,plain,
( ~ sum(additive_identity,a,a)
| sum(a,additive_identity,a) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l2,plain,
( ~ sum(b,additive_identity,b)
| ~ sum(b,d,v)
| ~ sum(additive_identity,c,d)
| sum(b,c,v) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
inference(cnf,[status(esa)],[existence_of_identity_addition]) ).
cnf(l10,plain,
( ~ defined(a)
| sum(additive_identity,a,a) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X2,X3,X5)
| sum(X0,X4,X5) ),
inference(cnf,[status(esa)],[associativity_addition_1]) ).
cnf(l46,plain,
( ~ sum(additive_identity,a,b)
| ~ sum(a,c,u)
| ~ sum(b,c,v)
| sum(additive_identity,u,v) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(34,plain,
sum(a,c,u),
inference(cnf,[status(esa)],[sum_9]) ).
cnf(l50,plain,
sum(a,c,u),
inference(instantiation,[status(thm)],[34]) ).
cnf(36,plain,
~ sum(additive_identity,u,v),
inference(cnf,[status(esa)],[not_sum_11]) ).
cnf(l64,plain,
~ sum(additive_identity,u,v),
inference(instantiation,[status(thm)],[36]) ).
cnf(26,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l13,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(33,plain,
sum(additive_identity,c,d),
inference(cnf,[status(esa)],[sum_8]) ).
cnf(l3,plain,
sum(additive_identity,c,d),
inference(instantiation,[status(thm)],[33]) ).
cnf(l51,plain,
( ~ sum(d,b,v)
| sum(b,d,v) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(35,plain,
sum(d,b,v),
inference(cnf,[status(esa)],[sum_10]) ).
cnf(l53,plain,
sum(d,b,v),
inference(instantiation,[status(thm)],[35]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l7,l2,l10,l46,l50,l64,l13,l3,l51,l53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : FLD013-5 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Jul 20 09:34:34 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % launching worker at depth: 1
% 0.14/0.36 % launching worker at depth: 2
% 0.14/0.36 % launching worker at depth: 7
% 0.14/0.36 % launching worker at depth: 4
% 0.14/0.36 % launching worker at depth: 5
% 0.14/0.36 % launching worker at depth: 6
% 0.14/0.36 % launching worker at depth: 3
% 0.14/0.36 % launching worker at depth: 8
% 0.14/0.36 % launching worker at depth: 9
% 0.14/0.37 % launching worker at depth: 10
% 7.48/1.34 % launching worker at depth: 11
% 47.36/6.31 % SZS status Theorem for theBenchmark
% 47.36/6.31 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------