TSTP Solution File: SYN334+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SYN334+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n004.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 : Thu Jul 21 08:17:26 EDT 2022
% Result : Theorem 29.35s 29.29s
% Output : Proof 29.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN334+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 20:17:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 29.35/29.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.35/29.30 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.35/29.31
% 29.35/29.31 %-----------------------------------------------------
% 29.35/29.31 fof(church_46_14_6, conjecture, ? [_33559, _33562] : ! [_33570] : ((big_f(_33559, _33562) => (big_f(_33559, _33570) <=> big_g(_33562, _33570))) => (big_f(_33559, _33562) <=> big_f(_33570, _33570) => big_g(_33570, _33570)) => (big_g(_33559, _33562) <=> big_g(_33570, _33570))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', church_46_14_6)).
% 29.35/29.31
% 29.35/29.31 cnf(1, plain, [-(5 ^ [_3128, _3041]), big_g(_3041, _3128)], clausify(church_46_14_6)).
% 29.35/29.31 cnf(2, plain, [-(5 ^ [_3128, _3041]), -(big_g(1 ^ [_3128, _3041], 1 ^ [_3128, _3041]))], clausify(church_46_14_6)).
% 29.35/29.31 cnf(3, plain, [-(4 ^ [_3128, _3041]), big_g(1 ^ [_3128, _3041], 1 ^ [_3128, _3041])], clausify(church_46_14_6)).
% 29.35/29.31 cnf(4, plain, [-(4 ^ [_3128, _3041]), -(big_g(_3041, _3128))], clausify(church_46_14_6)).
% 29.35/29.31 cnf(5, plain, [-(3 ^ [_3128, _3041]), big_g(1 ^ [_3128, _3041], 1 ^ [_3128, _3041])], clausify(church_46_14_6)).
% 29.35/29.31 cnf(6, plain, [-(3 ^ [_3128, _3041]), -(big_f(1 ^ [_3128, _3041], 1 ^ [_3128, _3041]))], clausify(church_46_14_6)).
% 29.35/29.31 cnf(7, plain, [-(2 ^ [_3128, _3041]), -(big_f(_3041, 1 ^ [_3128, _3041])), big_g(_3128, 1 ^ [_3128, _3041])], clausify(church_46_14_6)).
% 29.35/29.31 cnf(8, plain, [-(2 ^ [_3128, _3041]), big_f(_3041, 1 ^ [_3128, _3041]), -(big_g(_3128, 1 ^ [_3128, _3041]))], clausify(church_46_14_6)).
% 29.35/29.31 cnf(9, plain, [big_f(_3041, _3128), 2 ^ [_3128, _3041]], clausify(church_46_14_6)).
% 29.35/29.31 cnf(10, plain, [4 ^ [_3128, _3041], 5 ^ [_3128, _3041]], clausify(church_46_14_6)).
% 29.35/29.31 cnf(11, plain, [-(big_f(_3041, _3128)), 3 ^ [_3128, _3041]], clausify(church_46_14_6)).
% 29.35/29.31 cnf(12, plain, [big_f(_3041, _3128), big_f(1 ^ [_3128, _3041], 1 ^ [_3128, _3041]), -(big_g(1 ^ [_3128, _3041], 1 ^ [_3128, _3041]))], clausify(church_46_14_6)).
% 29.35/29.31
% 29.35/29.31 cnf('1',plain,[big_f(1 ^ [_5139, _5139], 1 ^ [_5139, _5139]), 2 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]]],start(9,bind([[_3128, _3041], [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]]]))).
% 29.35/29.31 cnf('1.1',plain,[-(big_f(1 ^ [_5139, _5139], 1 ^ [_5139, _5139])), -(3 ^ [_5139, _5139])],extension(6,bind([[_3128, _3041], [_5139, _5139]]))).
% 29.35/29.31 cnf('1.1.1',plain,[3 ^ [_5139, _5139], -(big_f(_5139, _5139))],extension(11,bind([[_3041, _3128], [_5139, _5139]]))).
% 29.35/29.31 cnf('1.1.1.1',plain,[big_f(_5139, _5139), 2 ^ [_5139, _5139]],extension(9,bind([[_3128, _3041], [_5139, _5139]]))).
% 29.35/29.31 cnf('1.1.1.1.1',plain,[-(2 ^ [_5139, _5139]), big_f(_5139, 1 ^ [_5139, _5139]), -(big_g(_5139, 1 ^ [_5139, _5139]))],extension(8,bind([[_3128, _3041], [_5139, _5139]]))).
% 29.35/29.31 cnf('1.1.1.1.1.1',plain,[-(big_f(_5139, 1 ^ [_5139, _5139])), -(2 ^ [_5139, _5139]), big_g(_5139, 1 ^ [_5139, _5139])],extension(7,bind([[_3128, _3041], [_5139, _5139]]))).
% 29.35/29.31 cnf('1.1.1.1.1.1.1',plain,[2 ^ [_5139, _5139]],reduction('1.1.1.1')).
% 29.35/29.31 cnf('1.1.1.1.1.1.2',plain,[-(big_g(_5139, 1 ^ [_5139, _5139])), -(4 ^ [1 ^ [_5139, _5139], _5139])],extension(4,bind([[_3128, _3041], [1 ^ [_5139, _5139], _5139]]))).
% 29.35/29.31 cnf('1.1.1.1.1.1.2.1',plain,[4 ^ [1 ^ [_5139, _5139], _5139], 5 ^ [1 ^ [_5139, _5139], _5139]],extension(10,bind([[_3128, _3041], [1 ^ [_5139, _5139], _5139]]))).
% 29.35/29.31 cnf('1.1.1.1.1.1.2.1.1',plain,[-(5 ^ [1 ^ [_5139, _5139], _5139]), -(big_g(1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]))],extension(2,bind([[_3128, _3041], [1 ^ [_5139, _5139], _5139]]))).
% 29.35/29.31 cnf('1.1.1.1.1.1.2.1.1.1',plain,[big_g(1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]), -(3 ^ [1 ^ [_5139, _5139], _5139])],extension(5,bind([[_3128, _3041], [1 ^ [_5139, _5139], _5139]]))).
% 29.35/29.31 cnf('1.1.1.1.1.1.2.1.1.1.1',plain,[3 ^ [1 ^ [_5139, _5139], _5139], -(big_f(_5139, 1 ^ [_5139, _5139]))],extension(11,bind([[_3041, _3128], [_5139, 1 ^ [_5139, _5139]]]))).
% 29.35/29.31 cnf('1.1.1.1.1.1.2.1.1.1.1.1',plain,[big_f(_5139, 1 ^ [_5139, _5139])],reduction('1.1.1.1.1')).
% 29.35/29.31 cnf('1.1.1.1.1.2',plain,[big_g(_5139, 1 ^ [_5139, _5139]), -(5 ^ [1 ^ [_5139, _5139], _5139])],extension(1,bind([[_3128, _3041], [1 ^ [_5139, _5139], _5139]]))).
% 29.35/29.31 cnf('1.1.1.1.1.2.1',plain,[5 ^ [1 ^ [_5139, _5139], _5139], 4 ^ [1 ^ [_5139, _5139], _5139]],extension(10,bind([[_3128, _3041], [1 ^ [_5139, _5139], _5139]]))).
% 29.35/29.31 cnf('1.1.1.1.1.2.1.1',plain,[-(4 ^ [1 ^ [_5139, _5139], _5139]), big_g(1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139])],extension(3,bind([[_3128, _3041], [1 ^ [_5139, _5139], _5139]]))).
% 29.35/29.31 cnf('1.1.1.1.1.2.1.1.1',plain,[-(big_g(1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139])), -(4 ^ [1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]])],extension(4,bind([[_3128, _3041], [1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]]]))).
% 29.35/29.31 cnf('1.1.1.1.1.2.1.1.1.1',plain,[4 ^ [1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]], 5 ^ [1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]]],extension(10,bind([[_3128, _3041], [1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]]]))).
% 29.35/29.31 cnf('1.1.1.1.1.2.1.1.1.1.1',plain,[-(5 ^ [1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]]), -(big_g(1 ^ [1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]]))],extension(2,bind([[_3128, _3041], [1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]]]))).
% 29.35/29.31 cnf('1.1.1.1.1.2.1.1.1.1.1.1',plain,[big_g(1 ^ [1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]]), -(3 ^ [1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]])],extension(5,bind([[_3128, _3041], [1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]]]))).
% 29.35/29.31 cnf('1.1.1.1.1.2.1.1.1.1.1.1.1',plain,[3 ^ [1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]], -(big_f(1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]))],extension(11,bind([[_3041, _3128], [1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]]]))).
% 29.35/29.31 cnf('1.1.1.1.1.2.1.1.1.1.1.1.1.1',plain,[big_f(1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]), big_f(_5139, 1 ^ [_5139, _5139]), -(big_g(1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139]))],extension(12,bind([[_3128, _3041], [1 ^ [_5139, _5139], _5139]]))).
% 29.35/29.31 cnf('1.1.1.1.1.2.1.1.1.1.1.1.1.1.1',plain,[-(big_f(_5139, 1 ^ [_5139, _5139]))],lemmata('1.1.1.1.1')).
% 29.35/29.31 cnf('1.1.1.1.1.2.1.1.1.1.1.1.1.1.2',plain,[big_g(1 ^ [1 ^ [_5139, _5139], _5139], 1 ^ [1 ^ [_5139, _5139], _5139])],reduction('1.1.1.1.1.2.1.1')).
% 29.35/29.31 cnf('1.2',plain,[-(2 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]]), -(big_f(1 ^ [_5139, _5139], 1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]])), big_g(1 ^ [_5139, _5139], 1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]])],extension(7,bind([[_3128, _3041], [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]]]))).
% 29.35/29.31 cnf('1.2.1',plain,[big_f(1 ^ [_5139, _5139], 1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]]), -(2 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]]), -(big_g(1 ^ [_5139, _5139], 1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]]))],extension(8,bind([[_3128, _3041], [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]]]))).
% 29.35/29.31 cnf('1.2.1.1',plain,[2 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]]],reduction('1')).
% 29.35/29.31 cnf('1.2.1.2',plain,[big_g(1 ^ [_5139, _5139], 1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]]), -(5 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]])],extension(1,bind([[_3128, _3041], [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]))).
% 29.35/29.31 cnf('1.2.1.2.1',plain,[5 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 4 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]],extension(10,bind([[_3128, _3041], [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]))).
% 29.35/29.31 cnf('1.2.1.2.1.1',plain,[-(4 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]), big_g(1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]])],extension(3,bind([[_3128, _3041], [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]))).
% 29.35/29.31 cnf('1.2.1.2.1.1.1',plain,[-(big_g(1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]])), -(4 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]])],extension(4,bind([[_3128, _3041], [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]]))).
% 29.35/29.31 cnf('1.2.1.2.1.1.1.1',plain,[4 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 5 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]],extension(10,bind([[_3128, _3041], [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]]))).
% 29.35/29.31 cnf('1.2.1.2.1.1.1.1.1',plain,[-(5 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]), -(big_g(1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]))],extension(2,bind([[_3128, _3041], [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]]))).
% 29.35/29.31 cnf('1.2.1.2.1.1.1.1.1.1',plain,[big_g(1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]), -(3 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]])],extension(5,bind([[_3128, _3041], [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]]))).
% 29.35/29.31 cnf('1.2.1.2.1.1.1.1.1.1.1',plain,[3 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], -(big_f(1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]))],extension(11,bind([[_3041, _3128], [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]]))).
% 29.35/29.31 cnf('1.2.1.2.1.1.1.1.1.1.1.1',plain,[big_f(1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]), big_f(1 ^ [_5139, _5139], 1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]]), -(big_g(1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]))],extension(12,bind([[_3128, _3041], [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]))).
% 29.35/29.31 cnf('1.2.1.2.1.1.1.1.1.1.1.1.1',plain,[-(big_f(1 ^ [_5139, _5139], 1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]]))],reduction('1.2')).
% 29.35/29.31 cnf('1.2.1.2.1.1.1.1.1.1.1.1.2',plain,[big_g(1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]])],reduction('1.2.1.2.1.1')).
% 29.35/29.31 cnf('1.2.2',plain,[-(big_g(1 ^ [_5139, _5139], 1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]])), -(4 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]])],extension(4,bind([[_3128, _3041], [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]))).
% 29.35/29.31 cnf('1.2.2.1',plain,[4 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 5 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]],extension(10,bind([[_3128, _3041], [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]))).
% 29.35/29.31 cnf('1.2.2.1.1',plain,[-(5 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]), -(big_g(1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]))],extension(2,bind([[_3128, _3041], [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]))).
% 29.35/29.31 cnf('1.2.2.1.1.1',plain,[big_g(1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]), -(5 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]])],extension(1,bind([[_3128, _3041], [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]]))).
% 29.35/29.31 cnf('1.2.2.1.1.1.1',plain,[5 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 4 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]],extension(10,bind([[_3128, _3041], [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]]))).
% 29.35/29.31 cnf('1.2.2.1.1.1.1.1',plain,[-(4 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]), big_g(1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]])],extension(3,bind([[_3128, _3041], [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]]))).
% 29.35/29.31 cnf('1.2.2.1.1.1.1.1.1',plain,[-(big_g(1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]])), big_f(1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]), big_f(1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]])],extension(12,bind([[_3128, _3041], [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]]))).
% 29.35/29.31 cnf('1.2.2.1.1.1.1.1.1.1',plain,[-(big_f(1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]])), -(3 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]])],extension(6,bind([[_3128, _3041], [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]))).
% 29.35/29.31 cnf('1.2.2.1.1.1.1.1.1.1.1',plain,[3 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], -(big_f(1 ^ [_5139, _5139], 1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]]))],extension(11,bind([[_3041, _3128], [1 ^ [_5139, _5139], 1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]]]]))).
% 29.35/29.31 cnf('1.2.2.1.1.1.1.1.1.1.1.1',plain,[big_f(1 ^ [_5139, _5139], 1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]])],lemmata('1.2')).
% 29.35/29.31 cnf('1.2.2.1.1.1.1.1.1.2',plain,[-(big_f(1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]])), 3 ^ [1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]]],extension(11,bind([[_3128, _3041], [1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]]]))).
% 29.35/29.31 cnf('1.2.2.1.1.1.1.1.1.2.1',plain,[-(3 ^ [1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]]), big_g(1 ^ [1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]], 1 ^ [1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]])],extension(5,bind([[_3128, _3041], [1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]]]))).
% 29.35/29.31 cnf('1.2.2.1.1.1.1.1.1.2.1.1',plain,[-(big_g(1 ^ [1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]], 1 ^ [1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]])), -(5 ^ [1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]])],extension(2,bind([[_3128, _3041], [1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]]]))).
% 29.35/29.31 cnf('1.2.2.1.1.1.1.1.1.2.1.1.1',plain,[5 ^ [1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]], 4 ^ [1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]]],extension(10,bind([[_3128, _3041], [1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]]]))).
% 29.35/29.31 cnf('1.2.2.1.1.1.1.1.1.2.1.1.1.1',plain,[-(4 ^ [1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]]), -(big_g(1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]))],extension(4,bind([[_3041, _3128], [1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]]]]))).
% 29.35/29.31 cnf('1.2.2.1.1.1.1.1.1.2.1.1.1.1.1',plain,[big_g(1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]], 1 ^ [1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]], 1 ^ [1 ^ [1 ^ [_5139, _5139], 1 ^ [_5139, _5139]], 1 ^ [_5139, _5139]]])],reduction('1.2.2.1.1.1.1.1')).
% 29.35/29.31 %-----------------------------------------------------
% 29.35/29.31
% 29.35/29.31 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------