TSTP Solution File: SET114-7 by lazyCoP---0.1
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% File : lazyCoP---0.1
% Problem : SET114-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n017.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 02:43:58 EDT 2022
% Result : Unsatisfiable 0.13s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET114-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n017.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 : Sun Jul 10 02:22:02 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % SZS status Unsatisfiable
% 0.13/0.37 % SZS output begin IncompleteProof
% 0.13/0.37 cnf(c0, axiom,
% 0.13/0.37 x != second(x)).
% 0.13/0.37 cnf(c1, plain,
% 0.13/0.37 x != second(x),
% 0.13/0.37 inference(start, [], [c0])).
% 0.13/0.37
% 0.13/0.37 cnf(c2, axiom,
% 0.13/0.37 second(X0) = X0 | member(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),cross_product(universal_class,universal_class))).
% 0.13/0.37 cnf(a0, assumption,
% 0.13/0.37 second(x) = second(X0)).
% 0.13/0.37 cnf(c3, plain,
% 0.13/0.37 $false,
% 0.13/0.37 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.37 cnf(c4, plain,
% 0.13/0.37 member(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),cross_product(universal_class,universal_class)),
% 0.13/0.37 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.37 cnf(c5, plain,
% 0.13/0.37 X1 != X0 | x != X1,
% 0.13/0.37 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.37
% 0.13/0.37 cnf(a1, assumption,
% 0.13/0.37 X1 = X0).
% 0.13/0.37 cnf(c6, plain,
% 0.13/0.37 x != X1,
% 0.13/0.37 inference(reflexivity, [assumptions([a1])], [c5])).
% 0.13/0.37
% 0.13/0.37 cnf(a2, assumption,
% 0.13/0.37 x = X1).
% 0.13/0.37 cnf(c7, plain,
% 0.13/0.37 $false,
% 0.13/0.37 inference(reflexivity, [assumptions([a2])], [c6])).
% 0.13/0.37
% 0.13/0.37 cnf(c8, axiom,
% 0.13/0.37 ~member(unordered_pair(unordered_pair(first(x),first(x)),unordered_pair(first(x),unordered_pair(second(x),second(x)))),cross_product(universal_class,universal_class))).
% 0.13/0.37 cnf(a3, assumption,
% 0.13/0.37 unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = unordered_pair(unordered_pair(first(x),first(x)),unordered_pair(first(x),unordered_pair(second(x),second(x))))).
% 0.13/0.37 cnf(a4, assumption,
% 0.13/0.37 cross_product(universal_class,universal_class) = cross_product(universal_class,universal_class)).
% 0.13/0.37 cnf(c9, plain,
% 0.13/0.37 $false,
% 0.13/0.37 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])).
% 0.13/0.37 cnf(c10, plain,
% 0.13/0.37 $false,
% 0.13/0.37 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])).
% 0.13/0.37
% 0.13/0.37 cnf(c11, plain,
% 0.13/0.37 $false,
% 0.13/0.37 inference(constraint_solving, [
% 0.13/0.37 bind(X0, x),
% 0.13/0.37 bind(X1, x)
% 0.13/0.37 ],
% 0.13/0.37 [a0, a1, a2, a3, a4])).
% 0.13/0.37
% 0.13/0.37 % SZS output end IncompleteProof
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