%------------------------------------------------------------------------------
% File     : Twee---2.5.0
% Problem  : GRP698-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : parallel-twee /export/starexec/sandbox/benchmark/theBenchmark.p --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding

% Computer : n029.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 Jun 24 07:13:29 EDT 2024

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP698-1 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.12  % Command  : parallel-twee /export/starexec/sandbox/benchmark/theBenchmark.p --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding
% 0.12/0.33  % Computer : n029.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  : 300
% 0.12/0.33  % DateTime : Thu Jun 20 12:40:39 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.19/0.50  Command-line arguments: --no-flatten-goal
% 0.19/0.50  
% 0.19/0.50  % SZS status Unsatisfiable
% 0.19/0.50  
% 0.19/0.51  % SZS output start Proof
% 0.19/0.51  Axiom 1 (c05): mult(X, unit) = X.
% 0.19/0.51  Axiom 2 (c02): ld(X, mult(X, Y)) = Y.
% 0.19/0.51  Axiom 3 (c01): mult(X, ld(X, Y)) = Y.
% 0.19/0.51  Axiom 4 (c03): mult(rd(X, Y), Y) = X.
% 0.19/0.51  Axiom 5 (c07): mult(mult(mult(X, Y), X), mult(X, Z)) = mult(X, mult(mult(mult(Y, X), X), Z)).
% 0.19/0.51  
% 0.19/0.51  Goal 1 (goals): mult(a, mult(b, c)) = mult(rd(mult(a, b), a), mult(a, c)).
% 0.19/0.51  Proof:
% 0.19/0.51    mult(a, mult(b, c))
% 0.19/0.51  = { by axiom 2 (c02) R->L }
% 0.19/0.51    mult(a, mult(ld(a, mult(a, b)), c))
% 0.19/0.51  = { by axiom 4 (c03) R->L }
% 0.19/0.51    mult(a, mult(ld(a, mult(rd(mult(a, b), a), a)), c))
% 0.19/0.51  = { by axiom 4 (c03) R->L }
% 0.19/0.51    mult(a, mult(ld(a, mult(mult(rd(rd(mult(a, b), a), a), a), a)), c))
% 0.19/0.51  = { by axiom 3 (c01) R->L }
% 0.19/0.51    mult(a, mult(ld(a, mult(mult(mult(a, ld(a, rd(rd(mult(a, b), a), a))), a), a)), c))
% 0.19/0.51  = { by axiom 1 (c05) R->L }
% 0.19/0.51    mult(a, mult(ld(a, mult(mult(mult(a, ld(a, rd(rd(mult(a, b), a), a))), a), mult(a, unit))), c))
% 0.19/0.51  = { by axiom 5 (c07) }
% 0.19/0.51    mult(a, mult(ld(a, mult(a, mult(mult(mult(ld(a, rd(rd(mult(a, b), a), a)), a), a), unit))), c))
% 0.19/0.51  = { by axiom 1 (c05) }
% 0.19/0.51    mult(a, mult(ld(a, mult(a, mult(mult(ld(a, rd(rd(mult(a, b), a), a)), a), a))), c))
% 0.19/0.51  = { by axiom 2 (c02) }
% 0.19/0.51    mult(a, mult(mult(mult(ld(a, rd(rd(mult(a, b), a), a)), a), a), c))
% 0.19/0.51  = { by axiom 5 (c07) R->L }
% 0.19/0.51    mult(mult(mult(a, ld(a, rd(rd(mult(a, b), a), a))), a), mult(a, c))
% 0.19/0.51  = { by axiom 3 (c01) }
% 0.19/0.51    mult(mult(rd(rd(mult(a, b), a), a), a), mult(a, c))
% 0.19/0.51  = { by axiom 4 (c03) }
% 0.19/0.51    mult(rd(mult(a, b), a), mult(a, c))
% 0.19/0.51  % SZS output end Proof
% 0.19/0.51  
% 0.19/0.51  RESULT: Unsatisfiable (the axioms are contradictory).
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