TSTP Solution File: COL100-1 by ConnectPP---0.3.0

View Problem - Process Solution

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% File     : ConnectPP---0.3.0
% Problem  : COL100-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n005.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  : 300s
% DateTime : Mon Mar 25 14:01:40 EDT 2024

% Result   : Unsatisfiable 13.64s 13.87s
% Output   : Proof 13.64s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : COL100-1 : TPTP v8.1.2. Released v2.7.0.
% 0.11/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33  % Computer : n005.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu Mar 21 00:13:00 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 13.64/13.87  % SZS status Unsatisfiable for theBenchmark
% 13.64/13.87  % SZS output start Proof for theBenchmark
% 13.64/13.87  
% 13.64/13.87  % Problem matrix:
% 13.64/13.87  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 13.64/13.87  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 13.64/13.87  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 13.64/13.87  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( comb_app(__eqx_0, __eqx_1) = comb_app(__eqy_0, __eqy_1)) )).
% 13.64/13.87  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( pair(__eqx_0, __eqx_1) = pair(__eqy_0, __eqy_1)) )).
% 13.64/13.87  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( trancl(__eqx_0) = trancl(__eqy_0)) )).
% 13.64/13.87  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( diamond_strip_lemmaD_sk1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = diamond_strip_lemmaD_sk1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.64/13.87  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( sk1(__eqx_0) = sk1(__eqy_0)) )).
% 13.64/13.87  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~member(__eqx_0, __eqx_1) | member(__eqy_0, __eqy_1) )).
% 13.64/13.87  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~trans(__eqx_0) | trans(__eqy_0) )).
% 13.64/13.87  cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~diamond(__eqx_0) | diamond(__eqy_0) )).
% 13.64/13.87  cnf(matrix-11, plain, ( ( combK != combS) )).
% 13.64/13.87  cnf(matrix-12, plain, ( ( combK != comb_app(P, Q)) )).
% 13.64/13.87  cnf(matrix-13, plain, ( ( combS != comb_app(P, Q)) )).
% 13.64/13.87  cnf(matrix-14, plain, ( ( comb_app(P1, Q1) != comb_app(P2, Q2)) | ( P1 = P2) )).
% 13.64/13.87  cnf(matrix-15, plain, ( ( comb_app(P1, Q1) != comb_app(P2, Q2)) | ( Q1 = Q2) )).
% 13.64/13.87  cnf(matrix-16, plain, ( ( P1 != P2) | ( Q1 != Q2) | ( comb_app(P1, Q1) = comb_app(P2, Q2)) )).
% 13.64/13.87  cnf(matrix-17, plain, ( ~member(pair(A, B), R) | member(pair(A, B), trancl(R)) )).
% 13.64/13.87  cnf(matrix-18, plain, ( trans(trancl(R)) )).
% 13.64/13.87  cnf(matrix-19, plain, ( ~trans(R) | ~member(pair(A, B), R) | ~member(pair(B, C), R) | member(pair(A, C), R) )).
% 13.64/13.87  cnf(matrix-20, plain, ( ~diamond(R) | ~member(pair(X, Y), trancl(R)) | ~member(pair(X, YP), R) | member(pair(YP, diamond_strip_lemmaD_sk1(X, Y, YP, R)), trancl(R)) )).
% 13.64/13.87  cnf(matrix-21, plain, ( ~diamond(R) | ~member(pair(X, Y), trancl(R)) | ~member(pair(X, YP), R) | member(pair(Y, diamond_strip_lemmaD_sk1(X, Y, YP, R)), R) )).
% 13.64/13.87  cnf(matrix-22, plain, ( diamond(r) )).
% 13.64/13.87  cnf(matrix-23, plain, ( member(pair(y, ya), trancl(r)) )).
% 13.64/13.87  cnf(matrix-24, plain, ( member(pair(ya, z), r) )).
% 13.64/13.87  cnf(matrix-25, plain, ( ~member(pair(y, YP), trancl(r)) | member(pair(ya, sk1(YP)), trancl(r)) )).
% 13.64/13.87  cnf(matrix-26, plain, ( ~member(pair(y, YP), trancl(r)) | member(pair(YP, sk1(YP)), trancl(r)) )).
% 13.64/13.87  cnf(matrix-27, plain, ( member(pair(y, yp), trancl(r)) )).
% 13.64/13.87  cnf(matrix-28, plain, ( ~member(pair(z, ZA), trancl(r)) | ~member(pair(yp, ZA), trancl(r)) )).
% 13.64/13.87  
% 13.64/13.87  % Proof stack:
% 13.64/13.87  cnf(proof-stack, plain, 
% 13.64/13.87  proof_stack(
% 13.64/13.87  start(27), 
% 13.64/13.87  left_branch(0, 25, 0, 2), 
% 13.64/13.87  left_branch(0, 21, 1, 3), 
% 13.64/13.87  left_branch(0, 22, 0, 4), 
% 13.64/13.87  right_branch(4), 
% 13.64/13.87  left_branch(0, 24, 0, 5), 
% 13.64/13.87  right_branch(5), 
% 13.64/13.87  left_branch(0, 17, 0, 6), 
% 13.64/13.87  left_branch(0, 19, 2, 7), 
% 13.64/13.87  left_branch(0, 18, 0, 8), 
% 13.64/13.87  right_branch(8), 
% 13.64/13.87  left_branch(0, 28, 1, 9), 
% 13.64/13.87  left_branch(0, 20, 3, 10), 
% 13.64/13.87  lemmata(0, 0), 
% 13.64/13.87  lemmata(0, 1), 
% 13.64/13.87  reduction(0, 1), 
% 13.64/13.87  right_branch(10), 
% 13.64/13.87  right_branch(9), 
% 13.64/13.87  left_branch(0, 26, 1, 10), 
% 13.64/13.87  reduction(0, 0), 
% 13.64/13.87  right_branch(10), 
% 13.64/13.87  right_branch(7), 
% 13.64/13.87  right_branch(6), 
% 13.64/13.87  right_branch(3), 
% 13.64/13.87  right_branch(2)
% 13.64/13.87  )).
% 13.64/13.87  % SZS output end Proof for theBenchmark
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