%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP156-1 : TPTP v9.0.0. Bugfixed v1.2.1.
% 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 06:27:00 PM UTC 2025
% Result : Unsatisfiable 10.26s 1.67s
% Output : CNFRefutation 10.26s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_ax_mono1c)
% Comments :
%------------------------------------------------------------------------------
cnf(16,plain,
greatest_lower_bound(multiply(a,c),multiply(b,c)) != multiply(a,c),
inference(cnf,[status(esa)],[prove_ax_mono1c]) ).
cnf(l0,plain,
greatest_lower_bound(multiply(a,c),multiply(b,c)) != multiply(a,c),
inference(instantiation,[status(thm)],[16]) ).
cnf(10,plain,
greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
inference(cnf,[status(esa)],[glb_absorbtion]) ).
cnf(l3,plain,
greatest_lower_bound(multiply(a,c),least_upper_bound(multiply(a,c),multiply(b,c))) = multiply(a,c),
inference(instantiation,[status(thm)],[10]) ).
cnf(l6,plain,
greatest_lower_bound(least_upper_bound(multiply(a,c),multiply(b,c)),least_upper_bound(least_upper_bound(multiply(a,c),multiply(b,c)),multiply(least_upper_bound(a,b),c))) = least_upper_bound(multiply(a,c),multiply(b,c)),
inference(instantiation,[status(thm)],[10]) ).
cnf(13,plain,
multiply(least_upper_bound(X0,X1),X2) = least_upper_bound(multiply(X0,X2),multiply(X1,X2)),
inference(cnf,[status(esa)],[monotony_lub2]) ).
cnf(l20,plain,
multiply(least_upper_bound(a,b),c) = least_upper_bound(multiply(a,c),multiply(b,c)),
inference(instantiation,[status(thm)],[13]) ).
cnf(4,plain,
least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
inference(cnf,[status(esa)],[symmetry_of_lub]) ).
cnf(l21,plain,
least_upper_bound(multiply(least_upper_bound(a,b),c),least_upper_bound(multiply(a,c),multiply(b,c))) = least_upper_bound(least_upper_bound(multiply(a,c),multiply(b,c)),multiply(least_upper_bound(a,b),c)),
inference(instantiation,[status(thm)],[4]) ).
cnf(15,plain,
least_upper_bound(a,b) = b,
inference(cnf,[status(esa)],[ax_mono1c_1]) ).
cnf(l11,plain,
least_upper_bound(a,b) = b,
inference(instantiation,[status(thm)],[15]) ).
cnf(l18,plain,
greatest_lower_bound(multiply(least_upper_bound(a,b),c),least_upper_bound(multiply(least_upper_bound(a,b),c),least_upper_bound(multiply(a,c),multiply(b,c)))) = multiply(least_upper_bound(a,b),c),
inference(instantiation,[status(thm)],[10]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l6,l20,l21,l11,l18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP156-1 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.10/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.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 : Sun Jul 20 14:10:19 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: 3
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 5
% 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: 6
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.36 % launching worker at depth: 11
% 10.26/1.67 % SZS status Theorem for theBenchmark
% 10.26/1.67 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------