TSTP Solution File: GRP665-10 by Twee---2.4.2

View Problem - Process Solution

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% File     : Twee---2.4.2
% Problem  : GRP665-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof

% Computer : n032.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 : Thu Aug 31 01:19:34 EDT 2023

% Result   : Unsatisfiable 0.14s 0.33s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : GRP665-10 : TPTP v8.1.2. Released v8.1.0.
% 0.02/0.10  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 300
% 0.10/0.29  % DateTime : Mon Aug 28 21:46:31 EDT 2023
% 0.10/0.29  % CPUTime  : 
% 0.14/0.33  Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 0.14/0.33  
% 0.14/0.33  % SZS status Unsatisfiable
% 0.14/0.33  
% 0.14/0.33  % SZS output start Proof
% 0.14/0.33  Axiom 1 (f09): mult(op_c, X) = mult(X, op_c).
% 0.14/0.33  Axiom 2 (f02): ld(X, mult(X, Y)) = Y.
% 0.14/0.33  Axiom 3 (f08): mult(mult(X, Y), Z) = mult(mult(X, Z), ld(Z, mult(Y, Z))).
% 0.14/0.33  
% 0.14/0.33  Goal 1 (goal): mult(op_c, mult(x0, x1)) = mult(mult(op_c, x0), x1).
% 0.14/0.33  Proof:
% 0.14/0.33    mult(op_c, mult(x0, x1))
% 0.14/0.33  = { by axiom 1 (f09) }
% 0.14/0.33    mult(mult(x0, x1), op_c)
% 0.14/0.33  = { by axiom 2 (f02) R->L }
% 0.14/0.33    mult(mult(x0, x1), ld(x1, mult(x1, op_c)))
% 0.14/0.33  = { by axiom 1 (f09) R->L }
% 0.14/0.33    mult(mult(x0, x1), ld(x1, mult(op_c, x1)))
% 0.14/0.33  = { by axiom 3 (f08) R->L }
% 0.14/0.33    mult(mult(x0, op_c), x1)
% 0.14/0.33  = { by axiom 1 (f09) R->L }
% 0.14/0.33    mult(mult(op_c, x0), x1)
% 0.14/0.33  % SZS output end Proof
% 0.14/0.33  
% 0.14/0.33  RESULT: Unsatisfiable (the axioms are contradictory).
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