%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG002-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n023.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 : Fri Jul 25 03:02:35 PM UTC 2025
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_b_equals_c)
% Comments :
%------------------------------------------------------------------------------
cnf(19,plain,
b != c,
inference(cnf,[status(esa)],[prove_b_equals_c]) ).
cnf(l0,plain,
b != c,
inference(instantiation,[status(thm)],[19]) ).
cnf(15,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| X2 = X3 ),
inference(cnf,[status(esa)],[addition_is_well_defined]) ).
cnf(l1,plain,
( ~ sum(additive_inverse(a),d,b)
| ~ sum(additive_inverse(a),d,c)
| b = c ),
inference(instantiation,[status(thm)],[15]) ).
cnf(6,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X2,X3,X5)
| sum(X0,X4,X5) ),
inference(cnf,[status(esa)],[associativity_of_addition1]) ).
cnf(l2,plain,
( ~ sum(additive_inverse(a),a,additive_identity)
| ~ sum(a,b,d)
| ~ sum(additive_identity,b,b)
| sum(additive_inverse(a),d,b) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(4,plain,
sum(additive_inverse(X0),X0,additive_identity),
inference(cnf,[status(esa)],[left_inverse]) ).
cnf(l3,plain,
sum(additive_inverse(a),a,additive_identity),
inference(instantiation,[status(thm)],[4]) ).
cnf(l4,plain,
( ~ sum(additive_inverse(a),a,additive_identity)
| ~ sum(a,c,d)
| ~ sum(additive_identity,c,c)
| sum(additive_inverse(a),d,c) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(0,plain,
sum(additive_identity,X0,X0),
inference(cnf,[status(esa)],[additive_identity1]) ).
cnf(l9,plain,
sum(additive_identity,c,c),
inference(instantiation,[status(thm)],[0]) ).
cnf(18,plain,
sum(a,c,d),
inference(cnf,[status(esa)],[a_plus_c_is_d]) ).
cnf(l10,plain,
sum(a,c,d),
inference(instantiation,[status(thm)],[18]) ).
cnf(l8,plain,
sum(additive_inverse(a),a,additive_identity),
inference(instantiation,[status(thm)],[4]) ).
cnf(17,plain,
sum(a,b,d),
inference(cnf,[status(esa)],[a_plus_b_is_d]) ).
cnf(l7,plain,
sum(a,b,d),
inference(instantiation,[status(thm)],[17]) ).
cnf(l5,plain,
sum(additive_identity,b,b),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l9,l10,l8,l7,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG002-1 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 17:19:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.35 % SZS status Theorem for theBenchmark
% 0.12/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------