%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD013-4 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n032.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 16.17s 2.32s
% Output : CNFRefutation 16.17s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named sum_6)
% Comments :
%------------------------------------------------------------------------------
cnf(31,plain,
sum(additive_identity,a,b),
inference(cnf,[status(esa)],[sum_6]) ).
cnf(l0,plain,
sum(additive_identity,a,b),
inference(instantiation,[status(thm)],[31]) ).
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(l1,plain,
( ~ sum(additive_identity,a,b)
| ~ sum(a,c,u)
| ~ sum(b,c,u)
| sum(additive_identity,u,u) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(33,plain,
sum(a,c,u),
inference(cnf,[status(esa)],[sum_8]) ).
cnf(l55,plain,
sum(a,c,u),
inference(instantiation,[status(thm)],[33]) ).
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(l7,plain,
( ~ sum(a,additive_identity,b)
| ~ sum(a,c,u)
| ~ sum(additive_identity,c,c)
| sum(b,c,u) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
inference(cnf,[status(esa)],[existence_of_identity_addition]) ).
cnf(l9,plain,
( ~ defined(c)
| sum(additive_identity,c,c) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(4,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_addition]) ).
cnf(l10,plain,
( ~ sum(additive_identity,a,b)
| sum(a,additive_identity,b) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(28,plain,
defined(c),
inference(cnf,[status(esa)],[c_is_defined]) ).
cnf(l17,plain,
defined(c),
inference(instantiation,[status(thm)],[28]) ).
cnf(l8,plain,
sum(a,c,u),
inference(instantiation,[status(thm)],[33]) ).
cnf(l2,plain,
( ~ sum(additive_identity,c,d)
| ~ sum(additive_identity,u,u)
| ~ sum(c,a,u)
| sum(d,a,u) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l3,plain,
( ~ sum(a,c,u)
| sum(c,a,u) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l23,plain,
sum(a,c,u),
inference(instantiation,[status(thm)],[33]) ).
cnf(l115,plain,
( ~ sum(d,a,u)
| ~ sum(a,additive_identity,b)
| ~ sum(u,additive_identity,u)
| sum(d,b,u) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(34,plain,
~ sum(d,b,u),
inference(cnf,[status(esa)],[not_sum_9]) ).
cnf(l121,plain,
~ sum(d,b,u),
inference(instantiation,[status(thm)],[34]) ).
cnf(l120,plain,
( ~ sum(additive_identity,a,b)
| sum(a,additive_identity,b) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(32,plain,
sum(additive_identity,c,d),
inference(cnf,[status(esa)],[sum_7]) ).
cnf(l32,plain,
sum(additive_identity,c,d),
inference(instantiation,[status(thm)],[32]) ).
cnf(l116,plain,
( ~ sum(additive_identity,u,u)
| sum(u,additive_identity,u) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l55,l7,l9,l10,l17,l8,l2,l3,l23,l115,l121,l120,l32,l116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : FLD013-4 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Sun Jul 20 09:34:49 EDT 2025
% 0.09/0.28 % CPUTime :
% 0.09/0.28 % launching worker at depth: 4
% 0.09/0.28 % launching worker at depth: 8
% 0.09/0.28 % launching worker at depth: 2
% 0.09/0.28 % launching worker at depth: 3
% 0.09/0.28 % launching worker at depth: 5
% 0.09/0.28 % launching worker at depth: 6
% 0.09/0.28 % launching worker at depth: 7
% 0.09/0.28 % launching worker at depth: 1
% 0.09/0.28 % launching worker at depth: 9
% 0.12/0.31 % launching worker at depth: 10
% 4.72/0.88 % launching worker at depth: 11
% 16.17/2.32 % SZS status Theorem for theBenchmark
% 16.17/2.32 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------