TSTP Solution File: SET635+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET635+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 02:55:01 EDT 2022
% Result : Theorem 3.89s 4.49s
% Output : Proof 3.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET635+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jul 10 13:42:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.89/4.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.89/4.50 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.89/4.50
% 3.89/4.50 %-----------------------------------------------------
% 3.89/4.50 fof(prove_th117, conjecture, ! [_34616, _34619, _34622] : intersection(_34616, difference(_34619, _34622)) = difference(intersection(_34616, _34619), intersection(_34616, _34622)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th117)).
% 3.89/4.50 fof(intersection_defn, axiom, ! [_34836, _34839, _34842] : (member(_34842, intersection(_34836, _34839)) <=> member(_34842, _34836) & member(_34842, _34839)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersection_defn)).
% 3.89/4.50 fof(difference_defn, axiom, ! [_35061, _35064, _35067] : (member(_35067, difference(_35061, _35064)) <=> member(_35067, _35061) & ~ member(_35067, _35064)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', difference_defn)).
% 3.89/4.50 fof(equal_member_defn, axiom, ! [_35307, _35310] : (_35307 = _35310 <=> ! [_35324] : (member(_35324, _35307) <=> member(_35324, _35310))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', equal_member_defn)).
% 3.89/4.50
% 3.89/4.50 cnf(1, plain, [intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ []))], clausify(prove_th117)).
% 3.89/4.50 cnf(2, plain, [member(_14592, intersection(_14475, _14534)), -(member(_14592, _14475))], clausify(intersection_defn)).
% 3.89/4.50 cnf(3, plain, [member(_14592, intersection(_14475, _14534)), -(member(_14592, _14534))], clausify(intersection_defn)).
% 3.89/4.50 cnf(4, plain, [-(member(_14592, intersection(_14475, _14534))), member(_14592, _14475), member(_14592, _14534)], clausify(intersection_defn)).
% 3.89/4.50 cnf(5, plain, [member(_15109, difference(_14988, _15049)), -(member(_15109, _14988))], clausify(difference_defn)).
% 3.89/4.50 cnf(6, plain, [member(_15109, difference(_14988, _15049)), member(_15109, _15049)], clausify(difference_defn)).
% 3.89/4.50 cnf(7, plain, [-(member(_15109, difference(_14988, _15049))), member(_15109, _14988), -(member(_15109, _15049))], clausify(difference_defn)).
% 3.89/4.50 cnf(8, plain, [-(_17366 = _17422), member(2 ^ [_17422, _17366], _17366), member(2 ^ [_17422, _17366], _17422)], clausify(equal_member_defn)).
% 3.89/4.50 cnf(9, plain, [-(_17366 = _17422), -(member(2 ^ [_17422, _17366], _17366)), -(member(2 ^ [_17422, _17366], _17422))], clausify(equal_member_defn)).
% 3.89/4.50
% 3.89/4.50 cnf('1',plain,[intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ []))],start(1)).
% 3.89/4.50 cnf('1.1',plain,[-(intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ []))), -(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ [])))), -(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ []))))],extension(9,bind([[_17366, _17422], [intersection(4 ^ [], difference(5 ^ [], 6 ^ [])), difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ []))]]))).
% 3.89/4.50 cnf('1.1.1',plain,[member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ []))), -(intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ []))), member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])))],extension(8,bind([[_17366, _17422], [intersection(4 ^ [], difference(5 ^ [], 6 ^ [])), difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ []))]]))).
% 3.89/4.50 cnf('1.1.1.1',plain,[intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ []))],extension(1)).
% 3.89/4.50 cnf('1.1.1.2',plain,[-(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])))), member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ [])), -(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 6 ^ [])))],extension(7,bind([[_14988, _15109, _15049], [intersection(4 ^ [], 5 ^ []), 2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 6 ^ [])]]))).
% 3.89/4.50 cnf('1.1.1.2.1',plain,[-(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ []))), member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ []), member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 5 ^ [])],extension(4,bind([[_14475, _14592, _14534], [4 ^ [], 2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 5 ^ []]]))).
% 3.89/4.50 cnf('1.1.1.2.1.1',plain,[-(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ [])), member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ [])))],extension(2,bind([[_14592, _14475, _14534], [2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ [], difference(5 ^ [], 6 ^ [])]]))).
% 3.89/4.50 cnf('1.1.1.2.1.1.1',plain,[-(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ []))))],reduction('1.1')).
% 3.89/4.50 cnf('1.1.1.2.1.2',plain,[-(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 5 ^ [])), member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(5 ^ [], 6 ^ []))],extension(5,bind([[_15109, _14988, _15049], [2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 5 ^ [], 6 ^ []]]))).
% 3.89/4.50 cnf('1.1.1.2.1.2.1',plain,[-(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(5 ^ [], 6 ^ []))), member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ [])))],extension(3,bind([[_14592, _14475, _14534], [2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ [], difference(5 ^ [], 6 ^ [])]]))).
% 3.89/4.50 cnf('1.1.1.2.1.2.1.1',plain,[-(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ []))))],reduction('1.1')).
% 3.89/4.50 cnf('1.1.1.2.2',plain,[member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 6 ^ [])), -(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 6 ^ []))],extension(3,bind([[_14475, _14592, _14534], [4 ^ [], 2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 6 ^ []]]))).
% 3.89/4.50 cnf('1.1.1.2.2.1',plain,[member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 6 ^ []), member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(5 ^ [], 6 ^ []))],extension(6,bind([[_15109, _14988, _15049], [2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 5 ^ [], 6 ^ []]]))).
% 3.89/4.50 cnf('1.1.1.2.2.1.1',plain,[-(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(5 ^ [], 6 ^ []))), member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ [])))],extension(3,bind([[_14592, _14475, _14534], [2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ [], difference(5 ^ [], 6 ^ [])]]))).
% 3.89/4.50 cnf('1.1.1.2.2.1.1.1',plain,[-(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ []))))],reduction('1.1')).
% 3.89/4.50 cnf('1.1.2',plain,[member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ []))), -(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ [])))],extension(5,bind([[_15049, _15109, _14988], [intersection(4 ^ [], 6 ^ []), 2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ [])]]))).
% 3.89/4.50 cnf('1.1.2.1',plain,[member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ [])), -(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 5 ^ []))],extension(3,bind([[_14475, _14592, _14534], [4 ^ [], 2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 5 ^ []]]))).
% 3.89/4.50 cnf('1.1.2.1.1',plain,[member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 5 ^ []), -(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(5 ^ [], 6 ^ []))), -(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 6 ^ []))],extension(7,bind([[_14988, _15109, _15049], [5 ^ [], 2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 6 ^ []]]))).
% 3.89/4.50 cnf('1.1.2.1.1.1',plain,[member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(5 ^ [], 6 ^ [])), -(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ [])))), member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ [])],extension(4,bind([[_14534, _14592, _14475], [difference(5 ^ [], 6 ^ []), 2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ []]]))).
% 3.89/4.50 cnf('1.1.2.1.1.1.1',plain,[member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], difference(5 ^ [], 6 ^ []))), -(intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ []))), member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])))],extension(8,bind([[_17366, _17422], [intersection(4 ^ [], difference(5 ^ [], 6 ^ [])), difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ []))]]))).
% 3.89/4.50 cnf('1.1.2.1.1.1.1.1',plain,[intersection(4 ^ [], difference(5 ^ [], 6 ^ [])) = difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ []))],extension(1)).
% 3.89/4.50 cnf('1.1.2.1.1.1.1.2',plain,[-(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ []))))],reduction('1.1')).
% 3.89/4.50 cnf('1.1.2.1.1.1.2',plain,[-(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ [])), member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ []))],extension(2,bind([[_14592, _14475, _14534], [2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ [], 5 ^ []]]))).
% 3.89/4.50 cnf('1.1.2.1.1.1.2.1',plain,[-(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ [])))],reduction('1.1.2')).
% 3.89/4.50 cnf('1.1.2.1.1.2',plain,[member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 6 ^ []), -(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 6 ^ []))), member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ [])],extension(4,bind([[_14534, _14592, _14475], [6 ^ [], 2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ []]]))).
% 3.89/4.50 cnf('1.1.2.1.1.2.1',plain,[member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 6 ^ [])), member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])))],extension(6,bind([[_15109, _14988, _15049], [2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])]]))).
% 3.89/4.50 cnf('1.1.2.1.1.2.1.1',plain,[-(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ []))))],reduction('1.1')).
% 3.89/4.50 cnf('1.1.2.1.1.2.2',plain,[-(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ [])), member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ []))],extension(2,bind([[_14592, _14475, _14534], [2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], 4 ^ [], 5 ^ []]]))).
% 3.89/4.50 cnf('1.1.2.1.1.2.2.1',plain,[-(member(2 ^ [difference(intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 6 ^ [])), intersection(4 ^ [], difference(5 ^ [], 6 ^ []))], intersection(4 ^ [], 5 ^ [])))],reduction('1.1.2')).
% 3.89/4.50 %-----------------------------------------------------
% 3.89/4.51
% 3.89/4.51 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------