TSTP Solution File: SEU118+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU118+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n006.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 12:00:12 EDT 2022
% Result : Theorem 0.33s 1.42s
% Output : Proof 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU118+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n006.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 : Sat Jun 18 22:23:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.33/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/1.44
% 0.41/1.44 %-----------------------------------------------------
% 0.41/1.44 fof(t34_finsub_1, conjecture, ! [_49847, _49850] : (element(_49850, powerset(_49847)) => finite(_49847) => element(_49850, finite_subsets(_49847))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t34_finsub_1)).
% 0.41/1.44 fof(cc2_finset_1, axiom, ! [_50058] : (finite(_50058) => ! [_50073] : (element(_50073, powerset(_50058)) => finite(_50073))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc2_finset_1)).
% 0.41/1.44 fof(d5_finsub_1, axiom, ! [_50250, _50253] : (preboolean(_50253) => (_50253 = finite_subsets(_50250) <=> ! [_50278] : (in(_50278, _50253) <=> subset(_50278, _50250) & finite(_50278)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_finsub_1)).
% 0.41/1.44 fof(dt_k5_finsub_1, axiom, ! [_50504] : preboolean(finite_subsets(_50504)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k5_finsub_1)).
% 0.41/1.44 fof(t1_subset, axiom, ! [_50655, _50658] : (in(_50655, _50658) => element(_50655, _50658)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t1_subset)).
% 0.41/1.44 fof(t3_subset, axiom, ! [_50802, _50805] : (element(_50802, powerset(_50805)) <=> subset(_50802, _50805)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t3_subset)).
% 0.41/1.44
% 0.41/1.44 cnf(1, plain, [-(element(13 ^ [], powerset(12 ^ [])))], clausify(t34_finsub_1)).
% 0.41/1.44 cnf(2, plain, [-(finite(12 ^ []))], clausify(t34_finsub_1)).
% 0.41/1.44 cnf(3, plain, [element(13 ^ [], finite_subsets(12 ^ []))], clausify(t34_finsub_1)).
% 0.41/1.44 cnf(4, plain, [finite(_24311), element(_24400, powerset(_24311)), -(finite(_24400))], clausify(cc2_finset_1)).
% 0.41/1.44 cnf(5, plain, [preboolean(_25319), _25319 = finite_subsets(_25251), -(in(_25499, _25319)), subset(_25499, _25251), finite(_25499)], clausify(d5_finsub_1)).
% 0.41/1.44 cnf(6, plain, [-(preboolean(finite_subsets(_25863)))], clausify(dt_k5_finsub_1)).
% 0.41/1.44 cnf(7, plain, [in(_31378, _31423), -(element(_31378, _31423))], clausify(t1_subset)).
% 0.41/1.44 cnf(8, plain, [element(_32061, powerset(_32108)), -(subset(_32061, _32108))], clausify(t3_subset)).
% 0.41/1.44 cnf(9, plain, [-(_15517 = _15517)], theory(equality)).
% 0.41/1.44
% 0.41/1.44 cnf('1',plain,[element(13 ^ [], finite_subsets(12 ^ []))],start(3)).
% 0.41/1.44 cnf('1.1',plain,[-(element(13 ^ [], finite_subsets(12 ^ []))), in(13 ^ [], finite_subsets(12 ^ []))],extension(7,bind([[_31378, _31423], [13 ^ [], finite_subsets(12 ^ [])]]))).
% 0.41/1.44 cnf('1.1.1',plain,[-(in(13 ^ [], finite_subsets(12 ^ []))), preboolean(finite_subsets(12 ^ [])), finite_subsets(12 ^ []) = finite_subsets(12 ^ []), subset(13 ^ [], 12 ^ []), finite(13 ^ [])],extension(5,bind([[_25319, _25251, _25499], [finite_subsets(12 ^ []), 12 ^ [], 13 ^ []]]))).
% 0.41/1.44 cnf('1.1.1.1',plain,[-(preboolean(finite_subsets(12 ^ [])))],extension(6,bind([[_25863], [12 ^ []]]))).
% 0.41/1.44 cnf('1.1.1.2',plain,[-(finite_subsets(12 ^ []) = finite_subsets(12 ^ []))],extension(9,bind([[_15517], [finite_subsets(12 ^ [])]]))).
% 0.41/1.44 cnf('1.1.1.3',plain,[-(subset(13 ^ [], 12 ^ [])), element(13 ^ [], powerset(12 ^ []))],extension(8,bind([[_32061, _32108], [13 ^ [], 12 ^ []]]))).
% 0.41/1.44 cnf('1.1.1.3.1',plain,[-(element(13 ^ [], powerset(12 ^ [])))],extension(1)).
% 0.41/1.44 cnf('1.1.1.4',plain,[-(finite(13 ^ [])), finite(12 ^ []), element(13 ^ [], powerset(12 ^ []))],extension(4,bind([[_24400, _24311], [13 ^ [], 12 ^ []]]))).
% 0.41/1.44 cnf('1.1.1.4.1',plain,[-(finite(12 ^ []))],extension(2)).
% 0.41/1.44 cnf('1.1.1.4.2',plain,[-(element(13 ^ [], powerset(12 ^ [])))],extension(1)).
% 0.41/1.44 %-----------------------------------------------------
% 0.41/1.44
% 0.41/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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