%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ROB016-1 : 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 : n018.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 3.07s 0.71s
% Output : CNFRefutation 3.07s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_result)
% Comments :
%------------------------------------------------------------------------------
cnf(10,plain,
negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))) != negate(e),
inference(cnf,[status(esa)],[prove_result]) ).
cnf(l0,plain,
negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))) != negate(e),
inference(instantiation,[status(thm)],[10]) ).
cnf(9,plain,
( negate(add(negate(X0),negate(add(X1,negate(X0))))) != X1
| ~ positive_integer(X2)
| negate(add(X0,multiply(X2,add(X1,negate(add(X1,negate(X0))))))) = negate(X0) ),
inference(cnf,[status(esa)],[lemma_3_6]) ).
cnf(l1,plain,
( negate(add(negate(e),negate(add(d,negate(e))))) != d
| ~ positive_integer(k)
| negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))) = negate(e) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(8,plain,
positive_integer(k),
inference(cnf,[status(esa)],[k_positive]) ).
cnf(l2,plain,
positive_integer(k),
inference(instantiation,[status(thm)],[8]) ).
cnf(2,plain,
negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
inference(cnf,[status(esa)],[robbins_axiom]) ).
cnf(l32,plain,
negate(add(negate(add(d,e)),negate(add(d,negate(e))))) = d,
inference(instantiation,[status(thm)],[2]) ).
cnf(7,plain,
negate(add(d,e)) = negate(e),
inference(cnf,[status(esa)],[condition]) ).
cnf(l61,plain,
negate(add(d,e)) = negate(e),
inference(instantiation,[status(thm)],[7]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l32,l61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ROB016-1 : TPTP v9.0.0. Released v1.0.0.
% 0.10/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 18:15:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 2.41/0.65 % launching worker at depth: 12
% 3.07/0.71 % SZS status Theorem for theBenchmark
% 3.07/0.71 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------