TSTP Solution File: ROB013-1 by Twee---2.4.2

View Problem - Process Solution

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% File     : Twee---2.4.2
% Problem  : ROB013-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n013.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 14:09:08 EDT 2023

% Result   : Unsatisfiable 0.12s 0.37s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : ROB013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.12/0.33  % Computer : n013.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 : Mon Aug 28 06:39:02 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.37  Command-line arguments: --kbo-weight0 --lhs-weight 5 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --goal-heuristic
% 0.12/0.37  
% 0.12/0.37  % SZS status Unsatisfiable
% 0.12/0.37  
% 0.12/0.37  % SZS output start Proof
% 0.12/0.37  Axiom 1 (commutativity_of_add): add(X, Y) = add(Y, X).
% 0.12/0.37  Axiom 2 (condition): negate(add(a, b)) = c.
% 0.12/0.37  Axiom 3 (robbins_axiom): negate(add(negate(add(X, Y)), negate(add(X, negate(Y))))) = X.
% 0.12/0.37  
% 0.12/0.37  Goal 1 (prove_result): negate(add(c, negate(add(negate(b), a)))) = a.
% 0.12/0.37  Proof:
% 0.12/0.37    negate(add(c, negate(add(negate(b), a))))
% 0.12/0.37  = { by axiom 1 (commutativity_of_add) }
% 0.12/0.37    negate(add(c, negate(add(a, negate(b)))))
% 0.12/0.37  = { by axiom 2 (condition) R->L }
% 0.12/0.37    negate(add(negate(add(a, b)), negate(add(a, negate(b)))))
% 0.12/0.37  = { by axiom 3 (robbins_axiom) }
% 0.12/0.37    a
% 0.12/0.37  % SZS output end Proof
% 0.12/0.37  
% 0.12/0.37  RESULT: Unsatisfiable (the axioms are contradictory).
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