TSTP Solution File: SYN075-1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SYN075-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n015.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 14:41:45 EDT 2024

% Result   : Unsatisfiable 0.19s 0.43s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN075-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Mar 20 23:29:19 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.43  % SZS output start Proof for theBenchmark
% 0.19/0.43  
% 0.19/0.43  % Problem matrix:
% 0.19/0.43  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.19/0.43  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.19/0.43  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.19/0.43  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( f(__eqx_0) = f(__eqy_0)) )).
% 0.19/0.43  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( g(__eqx_0) = g(__eqy_0)) )).
% 0.19/0.43  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( h(__eqx_0, __eqx_1) = h(__eqy_0, __eqy_1)) )).
% 0.19/0.43  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~big_f(__eqx_0, __eqx_1) | big_f(__eqy_0, __eqy_1) )).
% 0.19/0.43  cnf(matrix-7, plain, ( ~big_f(X, Y) | ( X = a) )).
% 0.19/0.43  cnf(matrix-8, plain, ( ~big_f(X, Y) | ( Y = b) )).
% 0.19/0.43  cnf(matrix-9, plain, ( ( X != a) | ( Y != b) | big_f(X, Y) )).
% 0.19/0.43  cnf(matrix-10, plain, ( ~big_f(Y, f(X)) | ( Y != g(X)) | ( f(X) = X) )).
% 0.19/0.43  cnf(matrix-11, plain, ( ( Y != g(X)) | big_f(Y, f(X)) | ( f(X) = X) )).
% 0.19/0.43  cnf(matrix-12, plain, ( ( Y != g(X)) | big_f(Y, f(X)) | big_f(h(X, Z), f(X)) | ( h(X, Z) = Z) )).
% 0.19/0.43  cnf(matrix-13, plain, ( ( Y != g(X)) | big_f(Y, f(X)) | ( h(X, Z) != Z) | ~big_f(h(X, Z), f(X)) )).
% 0.19/0.43  cnf(matrix-14, plain, ( ( f(X) != X) | big_f(h(X, Z), f(X)) | ( h(X, Z) = Z) )).
% 0.19/0.43  cnf(matrix-15, plain, ( ( f(X) != X) | ( h(X, Z) != Z) | ~big_f(h(X, Z), f(X)) )).
% 0.19/0.43  
% 0.19/0.43  % Proof stack:
% 0.19/0.43  cnf(proof-stack, plain, 
% 0.19/0.43  proof_stack(
% 0.19/0.43  start(15), 
% 0.19/0.43  left_branch(0, 11, 2, 2), 
% 0.19/0.43  left_branch(0, 12, 3, 3), 
% 0.19/0.43  left_branch(0, 4, 1, 4), 
% 0.19/0.43  left_branch(0, 0, 0, 5), 
% 0.19/0.43  right_branch(5), 
% 0.19/0.43  right_branch(4), 
% 0.19/0.43  left_branch(0, 8, 0, 5), 
% 0.19/0.43  reduction(0, 0), 
% 0.19/0.43  right_branch(5), 
% 0.19/0.43  left_branch(0, 10, 0, 6), 
% 0.19/0.43  reduction(0, 0), 
% 0.19/0.43  lemmata(0, 0), 
% 0.19/0.43  right_branch(6), 
% 0.19/0.43  right_branch(3), 
% 0.19/0.43  left_branch(0, 13, 3, 4), 
% 0.19/0.43  left_branch(0, 4, 1, 5), 
% 0.19/0.43  left_branch(0, 0, 0, 6), 
% 0.19/0.43  right_branch(6), 
% 0.19/0.43  right_branch(5), 
% 0.19/0.43  lemmata(0, 0), 
% 0.19/0.43  left_branch(0, 10, 0, 7), 
% 0.19/0.43  reduction(0, 0), 
% 0.19/0.43  lemmata(0, 1), 
% 0.19/0.43  right_branch(7), 
% 0.19/0.43  right_branch(4), 
% 0.19/0.43  right_branch(2), 
% 0.19/0.43  left_branch(0, 14, 1, 3), 
% 0.19/0.43  lemmata(0, 0), 
% 0.19/0.43  left_branch(0, 9, 0, 5), 
% 0.19/0.43  reduction(0, 0), 
% 0.19/0.43  lemmata(0, 0), 
% 0.19/0.43  right_branch(5), 
% 0.19/0.43  right_branch(3), 
% 0.19/0.43  left_branch(0, 14, 2, 4), 
% 0.19/0.43  lemmata(0, 0), 
% 0.19/0.43  left_branch(0, 7, 0, 6), 
% 0.19/0.43  reduction(0, 0), 
% 0.19/0.43  right_branch(6), 
% 0.19/0.43  right_branch(4)
% 0.19/0.43  )).
% 0.19/0.43  % SZS output end Proof for theBenchmark
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