TSTP Solution File: SET838-2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET838-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n010.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 : Tue Jul 19 02:48:33 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET838-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 09:38:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % SZS status Unsatisfiable
% 0.13/0.36 % SZS output begin IncompleteProof
% 0.13/0.36 cnf(c0, axiom,
% 0.13/0.36 v_g(v_f(X0)) != X0 | v_xa(X0) != X0).
% 0.13/0.36 cnf(c1, plain,
% 0.13/0.36 v_g(v_f(X0)) != X0 | v_xa(X0) != X0,
% 0.13/0.36 inference(start, [], [c0])).
% 0.13/0.36
% 0.13/0.36 cnf(c2, axiom,
% 0.13/0.36 v_x = v_f(v_g(v_x))).
% 0.13/0.36 cnf(a0, assumption,
% 0.13/0.36 v_f(X0) = v_f(v_g(v_x))).
% 0.13/0.36 cnf(c3, plain,
% 0.13/0.36 v_xa(X0) != X0,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.36 cnf(c4, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.36 cnf(c5, plain,
% 0.13/0.36 X1 != v_x | v_g(X1) != X0,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.36
% 0.13/0.36 cnf(a1, assumption,
% 0.13/0.36 X1 = v_x).
% 0.13/0.36 cnf(c6, plain,
% 0.13/0.36 v_g(X1) != X0,
% 0.13/0.36 inference(reflexivity, [assumptions([a1])], [c5])).
% 0.13/0.36
% 0.13/0.36 cnf(a2, assumption,
% 0.13/0.36 v_g(X1) = X0).
% 0.13/0.36 cnf(c7, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(reflexivity, [assumptions([a2])], [c6])).
% 0.13/0.36
% 0.13/0.36 cnf(c8, axiom,
% 0.13/0.36 v_g(v_f(X2)) != X2 | v_xa(X2) = v_g(v_f(v_xa(X2)))).
% 0.13/0.36 cnf(a3, assumption,
% 0.13/0.36 v_xa(X0) = v_xa(X2)).
% 0.13/0.36 cnf(c9, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a3])], [c3, c8])).
% 0.13/0.36 cnf(c10, plain,
% 0.13/0.36 v_g(v_f(X2)) != X2,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a3])], [c3, c8])).
% 0.13/0.36 cnf(c11, plain,
% 0.13/0.36 X3 != v_g(v_f(v_xa(X2))) | X3 != X0,
% 0.13/0.36 inference(strict_function_extension, [assumptions([a3])], [c3, c8])).
% 0.13/0.36
% 0.13/0.36 cnf(c12, axiom,
% 0.13/0.36 v_f(v_g(X4)) != X4 | v_x = X4).
% 0.13/0.36 cnf(a4, assumption,
% 0.13/0.36 v_f(v_xa(X2)) = X4).
% 0.13/0.36 cnf(c13, plain,
% 0.13/0.36 X3 != X0,
% 0.13/0.36 inference(variable_extension, [assumptions([a4])], [c11, c12])).
% 0.13/0.36 cnf(c14, plain,
% 0.13/0.36 v_f(v_g(X4)) != X4,
% 0.13/0.36 inference(variable_extension, [assumptions([a4])], [c11, c12])).
% 0.13/0.36 cnf(c15, plain,
% 0.13/0.36 v_x != X5 | X3 != v_g(X5),
% 0.13/0.36 inference(variable_extension, [assumptions([a4])], [c11, c12])).
% 0.13/0.36
% 0.13/0.36 cnf(a5, assumption,
% 0.13/0.36 v_x = X5).
% 0.13/0.36 cnf(c16, plain,
% 0.13/0.36 X3 != v_g(X5),
% 0.13/0.36 inference(reflexivity, [assumptions([a5])], [c15])).
% 0.13/0.36
% 0.13/0.36 cnf(a6, assumption,
% 0.13/0.36 X3 = v_g(X5)).
% 0.13/0.36 cnf(c17, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(reflexivity, [assumptions([a6])], [c16])).
% 0.13/0.36
% 0.13/0.36 cnf(c18, plain,
% 0.13/0.36 v_xa(X2) = v_g(v_f(v_xa(X2)))).
% 0.13/0.36 cnf(a7, assumption,
% 0.13/0.36 v_g(X4) = v_g(v_f(v_xa(X2)))).
% 0.13/0.36 cnf(a8, assumption,
% 0.13/0.36 v_xa(X2) = X6).
% 0.13/0.36 cnf(c19, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(equality_reduction, [assumptions([a7, a8])], [c14, c18])).
% 0.13/0.36 cnf(c20, plain,
% 0.13/0.36 v_f(X6) != X4,
% 0.13/0.36 inference(equality_reduction, [assumptions([a7, a8])], [c14, c18])).
% 0.13/0.36
% 0.13/0.36 cnf(a9, assumption,
% 0.13/0.36 v_f(X6) = X4).
% 0.13/0.36 cnf(c21, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(reflexivity, [assumptions([a9])], [c20])).
% 0.13/0.36
% 0.13/0.36 cnf(a10, assumption,
% 0.13/0.36 X3 = X0).
% 0.13/0.36 cnf(c22, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(reflexivity, [assumptions([a10])], [c13])).
% 0.13/0.36
% 0.13/0.36 cnf(c23, plain,
% 0.13/0.36 v_g(v_f(X0)) = X0).
% 0.13/0.36 cnf(a11, assumption,
% 0.13/0.36 v_g(v_f(X2)) = v_g(v_f(X0))).
% 0.13/0.36 cnf(c24, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(equality_reduction, [assumptions([a11])], [c10, c23])).
% 0.13/0.36 cnf(c25, plain,
% 0.13/0.36 X0 != X2,
% 0.13/0.36 inference(equality_reduction, [assumptions([a11])], [c10, c23])).
% 0.13/0.36
% 0.13/0.36 cnf(a12, assumption,
% 0.13/0.36 X0 = X2).
% 0.13/0.36 cnf(c26, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(reflexivity, [assumptions([a12])], [c25])).
% 0.13/0.36
% 0.13/0.36 cnf(c27, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(constraint_solving, [
% 0.13/0.36 bind(X0, v_g(v_x)),
% 0.13/0.36 bind(X1, v_x),
% 0.13/0.36 bind(X2, v_g(v_x)),
% 0.13/0.36 bind(X3, v_g(X5)),
% 0.13/0.36 bind(X4, v_f(v_xa(X2))),
% 0.13/0.36 bind(X5, v_x),
% 0.13/0.36 bind(X6, v_xa(X2))
% 0.13/0.36 ],
% 0.13/0.36 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12])).
% 0.13/0.36
% 0.13/0.36 % SZS output end IncompleteProof
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