TSTP Solution File: GRP704-12 by ConnectPP---0.2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.2.2
% Problem  : GRP704-12 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n026.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 : Wed Mar  6 09:04:59 EST 2024

% Result   : Unsatisfiable 12.36s 12.53s
% Output   : Proof 12.36s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP704-12 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n026.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
% 0.20/0.33  % WCLimit  : 300
% 0.20/0.33  % DateTime : Mon Mar  4 09:01:52 EST 2024
% 0.20/0.33  % CPUTime  : 
% 12.36/12.53  % SZS status Unsatisfiable for theBenchmark
% 12.36/12.53  % SZS output start Proof for theBenchmark
% 12.36/12.53  
% 12.36/12.53  % Problem matrix:
% 12.36/12.53  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 12.36/12.53  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 12.36/12.53  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 12.36/12.53  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( ld(__eqx_0, __eqx_1) = ld(__eqy_0, __eqy_1)) )).
% 12.36/12.53  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( mult(__eqx_0, __eqx_1) = mult(__eqy_0, __eqy_1)) )).
% 12.36/12.53  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( rd(__eqx_0, __eqx_1) = rd(__eqy_0, __eqy_1)) )).
% 12.36/12.53  cnf(matrix-6, plain, ( ( mult(A, ld(A, B)) = B) )).
% 12.36/12.53  cnf(matrix-7, plain, ( ( ld(A, mult(A, B)) = B) )).
% 12.36/12.53  cnf(matrix-8, plain, ( ( mult(rd(A, B), B) = A) )).
% 12.36/12.53  cnf(matrix-9, plain, ( ( rd(mult(A, B), B) = A) )).
% 12.36/12.53  cnf(matrix-10, plain, ( ( mult(A, unit) = A) )).
% 12.36/12.53  cnf(matrix-11, plain, ( ( mult(unit, A) = A) )).
% 12.36/12.53  cnf(matrix-12, plain, ( ( mult(A, mult(B, mult(B, C))) = mult(mult(mult(A, B), B), C)) )).
% 12.36/12.53  cnf(matrix-13, plain, ( ( mult(op_c, mult(A, B)) = mult(mult(op_c, A), B)) )).
% 12.36/12.53  cnf(matrix-14, plain, ( ( mult(A, mult(B, op_c)) = mult(mult(A, B), op_c)) )).
% 12.36/12.53  cnf(matrix-15, plain, ( ( mult(A, mult(op_c, B)) = mult(mult(A, op_c), B)) )).
% 12.36/12.53  cnf(matrix-16, plain, ( ( op_d = ld(A, mult(op_c, A))) )).
% 12.36/12.53  cnf(matrix-17, plain, ( ( op_e = mult(mult(rd(op_c, mult(A, B)), B), A)) )).
% 12.36/12.53  cnf(matrix-18, plain, ( ( op_f = mult(A, mult(B, ld(mult(A, B), op_c)))) )).
% 12.36/12.53  cnf(matrix-19, plain, ( ( mult(x4, mult(op_f, x5)) != mult(mult(x4, op_f), x5)) )).
% 12.36/12.53  
% 12.36/12.53  % Proof stack:
% 12.36/12.53  cnf(proof-stack, plain, 
% 12.36/12.53  proof_stack(
% 12.36/12.53  start(19), 
% 12.36/12.53  left_branch(0, 2, 2, 2), 
% 12.36/12.53  left_branch(0, 4, 2, 3), 
% 12.36/12.53  left_branch(0, 1, 1, 4), 
% 12.36/12.53  left_branch(0, 11, 0, 5), 
% 12.36/12.53  right_branch(5), 
% 12.36/12.53  right_branch(4), 
% 12.36/12.53  left_branch(0, 4, 2, 5), 
% 12.36/12.53  left_branch(0, 18, 0, 6), 
% 12.36/12.53  right_branch(6), 
% 12.36/12.53  left_branch(0, 2, 2, 7), 
% 12.36/12.53  left_branch(0, 1, 1, 8), 
% 12.36/12.53  left_branch(0, 11, 0, 9), 
% 12.36/12.53  right_branch(9), 
% 12.36/12.53  right_branch(8), 
% 12.36/12.53  left_branch(0, 11, 0, 9), 
% 12.36/12.53  right_branch(9), 
% 12.36/12.53  right_branch(7), 
% 12.36/12.53  right_branch(5), 
% 12.36/12.53  right_branch(3), 
% 12.36/12.53  left_branch(0, 2, 2, 4), 
% 12.36/12.53  left_branch(0, 4, 2, 5), 
% 12.36/12.53  left_branch(0, 11, 0, 6), 
% 12.36/12.53  right_branch(6), 
% 12.36/12.53  left_branch(0, 4, 2, 7), 
% 12.36/12.53  left_branch(0, 15, 0, 8), 
% 12.36/12.53  right_branch(8), 
% 12.36/12.53  left_branch(0, 1, 1, 9), 
% 12.36/12.53  left_branch(0, 11, 0, 10), 
% 12.36/12.53  right_branch(10), 
% 12.36/12.53  right_branch(9), 
% 12.36/12.53  right_branch(7), 
% 12.36/12.53  right_branch(5), 
% 12.36/12.53  left_branch(0, 2, 2, 6), 
% 12.36/12.53  left_branch(0, 4, 2, 7), 
% 12.36/12.53  left_branch(0, 1, 1, 8), 
% 12.36/12.53  left_branch(0, 11, 0, 9), 
% 12.36/12.53  right_branch(9), 
% 12.36/12.53  right_branch(8), 
% 12.36/12.53  left_branch(0, 4, 2, 9), 
% 12.36/12.53  left_branch(0, 6, 0, 10), 
% 12.36/12.53  right_branch(10), 
% 12.36/12.53  left_branch(0, 11, 0, 11), 
% 12.36/12.53  right_branch(11), 
% 12.36/12.53  right_branch(9), 
% 12.36/12.53  right_branch(7), 
% 12.36/12.53  left_branch(0, 2, 2, 8), 
% 12.36/12.53  left_branch(0, 15, 0, 9), 
% 12.36/12.53  right_branch(9), 
% 12.36/12.53  left_branch(0, 4, 2, 10), 
% 12.36/12.53  left_branch(0, 4, 2, 11), 
% 12.36/12.53  left_branch(0, 11, 0, 12), 
% 12.36/12.53  right_branch(12), 
% 12.36/12.53  left_branch(0, 1, 1, 13), 
% 12.36/12.53  left_branch(0, 2, 2, 14), 
% 12.36/12.53  left_branch(0, 18, 0, 15), 
% 12.36/12.53  right_branch(15), 
% 12.36/12.53  left_branch(0, 2, 2, 16), 
% 12.36/12.53  left_branch(0, 15, 0, 17), 
% 12.36/12.53  right_branch(17), 
% 12.36/12.53  left_branch(0, 6, 0, 18), 
% 12.36/12.53  right_branch(18), 
% 12.36/12.53  right_branch(16), 
% 12.36/12.53  right_branch(14), 
% 12.36/12.53  right_branch(13), 
% 12.36/12.53  right_branch(11), 
% 12.36/12.53  left_branch(0, 2, 2, 12), 
% 12.36/12.53  left_branch(0, 1, 1, 13), 
% 12.36/12.53  left_branch(0, 11, 0, 14), 
% 12.36/12.53  right_branch(14), 
% 12.36/12.53  right_branch(13), 
% 12.36/12.53  left_branch(0, 11, 0, 14), 
% 12.36/12.53  right_branch(14), 
% 12.36/12.53  right_branch(12), 
% 12.36/12.53  right_branch(10), 
% 12.36/12.53  right_branch(8), 
% 12.36/12.53  right_branch(6), 
% 12.36/12.53  right_branch(4), 
% 12.36/12.53  right_branch(2)
% 12.36/12.53  )).
% 12.36/12.53  % SZS output end Proof for theBenchmark
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