TSTP Solution File: COL098-1 by ConnectPP---0.3.0

View Problem - Process Solution

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% File     : ConnectPP---0.3.0
% Problem  : COL098-1 : 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 : n011.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 15.76s 15.92s
% Output   : Proof 15.76s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : COL098-1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.35  % Computer : n011.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  : 300
% 0.13/0.35  % DateTime : Thu Mar 21 00:22:27 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 15.76/15.92  % SZS status Unsatisfiable for theBenchmark
% 15.76/15.92  % SZS output start Proof for theBenchmark
% 15.76/15.92  
% 15.76/15.92  % Problem matrix:
% 15.76/15.92  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 15.76/15.92  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 15.76/15.92  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 15.76/15.92  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( comb_app(__eqx_0, __eqx_1) = comb_app(__eqy_0, __eqy_1)) )).
% 15.76/15.92  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( pair(__eqx_0, __eqx_1) = pair(__eqy_0, __eqy_1)) )).
% 15.76/15.92  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( trancl(__eqx_0) = trancl(__eqy_0)) )).
% 15.76/15.92  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( sk1(__eqx_0, __eqx_1, __eqx_2) = sk1(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.76/15.92  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( sk2(__eqx_0) = sk2(__eqy_0)) )).
% 15.76/15.92  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~member(__eqx_0, __eqx_1) | member(__eqy_0, __eqy_1) )).
% 15.76/15.92  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~trans(__eqx_0) | trans(__eqy_0) )).
% 15.76/15.92  cnf(matrix-10, plain, ( ( combK != combS) )).
% 15.76/15.92  cnf(matrix-11, plain, ( ( combK != comb_app(P, Q)) )).
% 15.76/15.92  cnf(matrix-12, plain, ( ( combS != comb_app(P, Q)) )).
% 15.76/15.92  cnf(matrix-13, plain, ( ( comb_app(P1, Q1) != comb_app(P2, Q2)) | ( P1 = P2) )).
% 15.76/15.92  cnf(matrix-14, plain, ( ( comb_app(P1, Q1) != comb_app(P2, Q2)) | ( Q1 = Q2) )).
% 15.76/15.92  cnf(matrix-15, plain, ( ( P1 != P2) | ( Q1 != Q2) | ( comb_app(P1, Q1) = comb_app(P2, Q2)) )).
% 15.76/15.92  cnf(matrix-16, plain, ( ~member(pair(A, B), R) | member(pair(A, B), trancl(R)) )).
% 15.76/15.92  cnf(matrix-17, plain, ( trans(trancl(R)) )).
% 15.76/15.92  cnf(matrix-18, plain, ( ~trans(R) | ~member(pair(A, B), R) | ~member(pair(B, C), R) | member(pair(A, C), R) )).
% 15.76/15.92  cnf(matrix-19, plain, ( ~member(pair(X, Y), r) | ~member(pair(X, YP), r) | member(pair(Y, sk1(X, Y, YP)), r) )).
% 15.76/15.92  cnf(matrix-20, plain, ( ~member(pair(X, Y), r) | ~member(pair(X, YP), r) | member(pair(YP, sk1(X, Y, YP)), r) )).
% 15.76/15.92  cnf(matrix-21, plain, ( member(pair(x, y), trancl(r)) )).
% 15.76/15.92  cnf(matrix-22, plain, ( member(pair(y, z), r) )).
% 15.76/15.92  cnf(matrix-23, plain, ( ~member(pair(x, YP), r) | member(pair(YP, sk2(YP)), trancl(r)) )).
% 15.76/15.92  cnf(matrix-24, plain, ( ~member(pair(x, YP), r) | member(pair(y, sk2(YP)), r) )).
% 15.76/15.92  cnf(matrix-25, plain, ( member(pair(x, sk3), r) )).
% 15.76/15.92  cnf(matrix-26, plain, ( ~member(pair(sk3, ZA), trancl(r)) | ~member(pair(z, ZA), r) )).
% 15.76/15.92  
% 15.76/15.92  % Proof stack:
% 15.76/15.92  cnf(proof-stack, plain, 
% 15.76/15.92  proof_stack(
% 15.76/15.92  start(25), 
% 15.76/15.92  left_branch(0, 24, 0, 2), 
% 15.76/15.92  left_branch(0, 19, 0, 3), 
% 15.76/15.92  left_branch(0, 16, 0, 4), 
% 15.76/15.92  left_branch(0, 18, 2, 5), 
% 15.76/15.92  left_branch(0, 17, 0, 6), 
% 15.76/15.92  right_branch(6), 
% 15.76/15.92  left_branch(0, 26, 0, 7), 
% 15.76/15.92  left_branch(0, 20, 2, 8), 
% 15.76/15.92  reduction(0, 1), 
% 15.76/15.92  left_branch(0, 22, 0, 10), 
% 15.76/15.92  right_branch(10), 
% 15.76/15.92  right_branch(8), 
% 15.76/15.92  right_branch(7), 
% 15.76/15.92  left_branch(0, 23, 1, 8), 
% 15.76/15.92  reduction(0, 0), 
% 15.76/15.92  right_branch(8), 
% 15.76/15.92  right_branch(5), 
% 15.76/15.92  right_branch(4), 
% 15.76/15.92  left_branch(0, 22, 0, 5), 
% 15.76/15.92  right_branch(5), 
% 15.76/15.92  right_branch(3), 
% 15.76/15.92  right_branch(2)
% 15.76/15.92  )).
% 15.76/15.92  % SZS output end Proof for theBenchmark
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