%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ROB021-1 : 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 : n021.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 03:18:20 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.52s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_huntingtons_axiom)
% Comments :
%------------------------------------------------------------------------------
cnf(4,plain,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
inference(cnf,[status(esa)],[prove_huntingtons_axiom]) ).
cnf(l0,plain,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
( negate(X0) != negate(X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[negative_equality_implies_positive_equality]) ).
cnf(l8,plain,
( negate(add(negate(add(negate(b),a)),negate(add(negate(b),negate(a))))) != negate(b)
| add(negate(add(negate(b),a)),negate(add(negate(b),negate(a)))) = b ),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
inference(cnf,[status(esa)],[robbins_axiom]) ).
cnf(l10,plain,
negate(add(negate(add(negate(b),a)),negate(add(negate(b),negate(a))))) = negate(b),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
add(X0,X1) = add(X1,X0),
inference(cnf,[status(esa)],[commutativity_of_add]) ).
cnf(l15,plain,
add(negate(b),negate(a)) = add(negate(a),negate(b)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l9,plain,
add(negate(b),a) = add(a,negate(b)),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l8,l10,l15,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ROB021-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 18:16:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------