TSTP Solution File: GRP158-1 by Etableau---0.67
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%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : GRP158-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n005.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 : 600s
% DateTime : Sat Jul 16 09:05:05 EDT 2022
% Result : Unsatisfiable 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 5 RR)
% Number of literals : 7 ( 6 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
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cnf(prove_ax_mono2b,negated_conjecture,
greatest_lower_bound(multiply(c,a),multiply(c,b)) != multiply(c,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_mono2b) ).
cnf(monotony_glb1,axiom,
multiply(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(multiply(X1,X2),multiply(X1,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb1) ).
cnf(ax_mono2b_1,hypothesis,
greatest_lower_bound(a,b) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_mono2b_1) ).
cnf(c_0_3,negated_conjecture,
greatest_lower_bound(multiply(c,a),multiply(c,b)) != multiply(c,a),
prove_ax_mono2b ).
cnf(c_0_4,axiom,
multiply(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(multiply(X1,X2),multiply(X1,X3)),
monotony_glb1 ).
cnf(c_0_5,hypothesis,
greatest_lower_bound(a,b) = a,
ax_mono2b_1 ).
cnf(c_0_6,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4]),c_0_5])]),
[proof] ).
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP158-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 08:21:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.37 # No SInE strategy applied
% 0.20/0.37 # Auto-Mode selected heuristic U_____102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.20/0.37 #
% 0.20/0.37 # Presaturation interreduction done
% 0.20/0.37
% 0.20/0.37 # Proof found!
% 0.20/0.37 # SZS status Unsatisfiable
% 0.20/0.37 # SZS output start CNFRefutation
% See solution above
% 0.20/0.37 # Training examples: 0 positive, 0 negative
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