TSTP Solution File: SEU102+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU102+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 12:00:09 EDT 2022
% Result : Theorem 44.24s 43.00s
% Output : Proof 44.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU102+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n006.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 : Sat Jun 18 19:38:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 44.24/43.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.24/43.01 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.24/43.02
% 44.24/43.02 %-----------------------------------------------------
% 44.24/43.02 fof(t13_finsub_1, conjecture, ! [_60625, _60628, _60631] : (~ empty(_60631) & preboolean(_60631) => element(_60625, _60631) & element(_60628, _60631) => element(set_intersection2(_60625, _60628), _60631)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t13_finsub_1)).
% 44.24/43.02 fof(dt_k2_finsub_1, axiom, ! [_60925, _60928, _60931] : (~ empty(_60925) & preboolean(_60925) & element(_60928, _60925) & element(_60931, _60925) => element(prebool_difference(_60925, _60928, _60931), _60925)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_finsub_1)).
% 44.24/43.02 fof(idempotence_k3_xboole_0, axiom, ! [_61188, _61191] : set_intersection2(_61188, _61188) = _61188, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', idempotence_k3_xboole_0)).
% 44.24/43.02 fof(redefinition_k2_finsub_1, axiom, ! [_61342, _61345, _61348] : (~ empty(_61342) & preboolean(_61342) & element(_61345, _61342) & element(_61348, _61342) => prebool_difference(_61342, _61345, _61348) = set_difference(_61345, _61348)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k2_finsub_1)).
% 44.24/43.02 fof(t48_xboole_1, axiom, ! [_61618, _61621] : set_difference(_61618, set_difference(_61618, _61621)) = set_intersection2(_61618, _61621), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t48_xboole_1)).
% 44.24/43.02
% 44.24/43.02 cnf(1, plain, [empty(17 ^ [])], clausify(t13_finsub_1)).
% 44.24/43.02 cnf(2, plain, [-(preboolean(17 ^ []))], clausify(t13_finsub_1)).
% 44.24/43.02 cnf(3, plain, [-(element(15 ^ [], 17 ^ []))], clausify(t13_finsub_1)).
% 44.24/43.02 cnf(4, plain, [-(element(16 ^ [], 17 ^ []))], clausify(t13_finsub_1)).
% 44.24/43.02 cnf(5, plain, [element(set_intersection2(15 ^ [], 16 ^ []), 17 ^ [])], clausify(t13_finsub_1)).
% 44.24/43.02 cnf(6, plain, [-(element(prebool_difference(_28684, _28756, _28827), _28684)), -(empty(_28684)), preboolean(_28684), element(_28756, _28684), element(_28827, _28684)], clausify(dt_k2_finsub_1)).
% 44.24/43.02 cnf(7, plain, [-(set_intersection2(_30844, _30844) = _30844)], clausify(idempotence_k3_xboole_0)).
% 44.24/43.02 cnf(8, plain, [-(prebool_difference(_34525, _34600, _34674) = set_difference(_34600, _34674)), -(empty(_34525)), preboolean(_34525), element(_34600, _34525), element(_34674, _34525)], clausify(redefinition_k2_finsub_1)).
% 44.24/43.02 cnf(9, plain, [-(set_difference(_36950, set_difference(_36950, _36998)) = set_intersection2(_36950, _36998))], clausify(t48_xboole_1)).
% 44.24/43.02 cnf(10, plain, [-(_16973 = _16973)], theory(equality)).
% 44.24/43.02 cnf(11, plain, [_17126 = _17171, -(_17171 = _17126)], theory(equality)).
% 44.24/43.02 cnf(12, plain, [-(element(_18935, _19066)), element(_18868, _19001), _18868 = _18935, _19001 = _19066], theory(equality)).
% 44.24/43.02
% 44.24/43.02 cnf('1',plain,[empty(17 ^ [])],start(1)).
% 44.24/43.02 cnf('1.1',plain,[-(empty(17 ^ [])), -(prebool_difference(17 ^ [], 15 ^ [], 16 ^ []) = set_difference(15 ^ [], 16 ^ [])), preboolean(17 ^ []), element(15 ^ [], 17 ^ []), element(16 ^ [], 17 ^ [])],extension(8,bind([[_34600, _34674, _34525], [15 ^ [], 16 ^ [], 17 ^ []]]))).
% 44.24/43.02 cnf('1.1.1',plain,[prebool_difference(17 ^ [], 15 ^ [], 16 ^ []) = set_difference(15 ^ [], 16 ^ []), -(element(set_difference(15 ^ [], 16 ^ []), 17 ^ [])), element(prebool_difference(17 ^ [], 15 ^ [], 16 ^ []), 17 ^ []), 17 ^ [] = 17 ^ []],extension(12,bind([[_18935, _18868, _19001, _19066], [set_difference(15 ^ [], 16 ^ []), prebool_difference(17 ^ [], 15 ^ [], 16 ^ []), 17 ^ [], 17 ^ []]]))).
% 44.24/43.02 cnf('1.1.1.1',plain,[element(set_difference(15 ^ [], 16 ^ []), 17 ^ []), -(prebool_difference(17 ^ [], 15 ^ [], set_difference(15 ^ [], 16 ^ [])) = set_difference(15 ^ [], set_difference(15 ^ [], 16 ^ []))), -(empty(17 ^ [])), preboolean(17 ^ []), element(15 ^ [], 17 ^ [])],extension(8,bind([[_34674, _34600, _34525], [set_difference(15 ^ [], 16 ^ []), 15 ^ [], 17 ^ []]]))).
% 44.24/43.02 cnf('1.1.1.1.1',plain,[prebool_difference(17 ^ [], 15 ^ [], set_difference(15 ^ [], 16 ^ [])) = set_difference(15 ^ [], set_difference(15 ^ [], 16 ^ [])), -(element(set_difference(15 ^ [], set_difference(15 ^ [], 16 ^ [])), set_intersection2(17 ^ [], 17 ^ []))), element(prebool_difference(17 ^ [], 15 ^ [], set_difference(15 ^ [], 16 ^ [])), 17 ^ []), 17 ^ [] = set_intersection2(17 ^ [], 17 ^ [])],extension(12,bind([[_18935, _18868, _19001, _19066], [set_difference(15 ^ [], set_difference(15 ^ [], 16 ^ [])), prebool_difference(17 ^ [], 15 ^ [], set_difference(15 ^ [], 16 ^ [])), 17 ^ [], set_intersection2(17 ^ [], 17 ^ [])]]))).
% 44.24/43.02 cnf('1.1.1.1.1.1',plain,[element(set_difference(15 ^ [], set_difference(15 ^ [], 16 ^ [])), set_intersection2(17 ^ [], 17 ^ [])), -(element(set_intersection2(15 ^ [], 16 ^ []), 17 ^ [])), set_difference(15 ^ [], set_difference(15 ^ [], 16 ^ [])) = set_intersection2(15 ^ [], 16 ^ []), set_intersection2(17 ^ [], 17 ^ []) = 17 ^ []],extension(12,bind([[_18868, _18935, _19001, _19066], [set_difference(15 ^ [], set_difference(15 ^ [], 16 ^ [])), set_intersection2(15 ^ [], 16 ^ []), set_intersection2(17 ^ [], 17 ^ []), 17 ^ []]]))).
% 44.24/43.02 cnf('1.1.1.1.1.1.1',plain,[element(set_intersection2(15 ^ [], 16 ^ []), 17 ^ [])],extension(5)).
% 44.24/43.02 cnf('1.1.1.1.1.1.2',plain,[-(set_difference(15 ^ [], set_difference(15 ^ [], 16 ^ [])) = set_intersection2(15 ^ [], 16 ^ []))],extension(9,bind([[_36950, _36998], [15 ^ [], 16 ^ []]]))).
% 44.24/43.02 cnf('1.1.1.1.1.1.3',plain,[-(set_intersection2(17 ^ [], 17 ^ []) = 17 ^ [])],extension(7,bind([[_30844], [17 ^ []]]))).
% 44.24/43.02 cnf('1.1.1.1.1.2',plain,[-(element(prebool_difference(17 ^ [], 15 ^ [], set_difference(15 ^ [], 16 ^ [])), 17 ^ [])), -(empty(17 ^ [])), preboolean(17 ^ []), element(15 ^ [], 17 ^ []), element(set_difference(15 ^ [], 16 ^ []), 17 ^ [])],extension(6,bind([[_28756, _28827, _28684], [15 ^ [], set_difference(15 ^ [], 16 ^ []), 17 ^ []]]))).
% 44.24/43.02 cnf('1.1.1.1.1.2.1',plain,[empty(17 ^ [])],extension(1)).
% 44.24/43.02 cnf('1.1.1.1.1.2.2',plain,[-(preboolean(17 ^ []))],extension(2)).
% 44.24/43.02 cnf('1.1.1.1.1.2.3',plain,[-(element(15 ^ [], 17 ^ []))],extension(3)).
% 44.24/43.02 cnf('1.1.1.1.1.2.4',plain,[-(element(set_difference(15 ^ [], 16 ^ []), 17 ^ []))],reduction('1.1.1')).
% 44.24/43.02 cnf('1.1.1.1.1.3',plain,[-(17 ^ [] = set_intersection2(17 ^ [], 17 ^ [])), set_intersection2(17 ^ [], 17 ^ []) = 17 ^ []],extension(11,bind([[_17126, _17171], [set_intersection2(17 ^ [], 17 ^ []), 17 ^ []]]))).
% 44.24/43.02 cnf('1.1.1.1.1.3.1',plain,[-(set_intersection2(17 ^ [], 17 ^ []) = 17 ^ [])],extension(7,bind([[_30844], [17 ^ []]]))).
% 44.24/43.02 cnf('1.1.1.1.2',plain,[empty(17 ^ [])],extension(1)).
% 44.24/43.02 cnf('1.1.1.1.3',plain,[-(preboolean(17 ^ []))],extension(2)).
% 44.24/43.02 cnf('1.1.1.1.4',plain,[-(element(15 ^ [], 17 ^ []))],extension(3)).
% 44.24/43.02 cnf('1.1.1.2',plain,[-(element(prebool_difference(17 ^ [], 15 ^ [], 16 ^ []), 17 ^ [])), -(empty(17 ^ [])), preboolean(17 ^ []), element(15 ^ [], 17 ^ []), element(16 ^ [], 17 ^ [])],extension(6,bind([[_28756, _28827, _28684], [15 ^ [], 16 ^ [], 17 ^ []]]))).
% 44.24/43.02 cnf('1.1.1.2.1',plain,[empty(17 ^ [])],extension(1)).
% 44.24/43.02 cnf('1.1.1.2.2',plain,[-(preboolean(17 ^ []))],extension(2)).
% 44.24/43.02 cnf('1.1.1.2.3',plain,[-(element(15 ^ [], 17 ^ []))],extension(3)).
% 44.24/43.02 cnf('1.1.1.2.4',plain,[-(element(16 ^ [], 17 ^ []))],extension(4)).
% 44.24/43.02 cnf('1.1.1.3',plain,[-(17 ^ [] = 17 ^ [])],extension(10,bind([[_16973], [17 ^ []]]))).
% 44.24/43.02 cnf('1.1.2',plain,[-(preboolean(17 ^ []))],extension(2)).
% 44.24/43.02 cnf('1.1.3',plain,[-(element(15 ^ [], 17 ^ []))],extension(3)).
% 44.24/43.02 cnf('1.1.4',plain,[-(element(16 ^ [], 17 ^ []))],extension(4)).
% 44.24/43.02 %-----------------------------------------------------
% 44.24/43.02
% 44.24/43.02 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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