%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP715-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:35:13 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.38s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 39 unt; 2 def)
% Number of atoms : 39 ( 38 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [A,B,C] : mult(mult(mult(A,B),C),B) = mult(A,mult(mult(B,C),B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] : mult(A,mult(B,B)) = mult(mult(A,B),B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
mult(op_a,op_b) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
mult(op_b,op_a) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
mult(mult(x0,op_a),op_b) != x0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0,X1,X2] : mult(mult(mult(X0,X1),X2),X1) = mult(X0,mult(mult(X1,X2),X1)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f19,plain,
! [X0,X1] : mult(X0,mult(X1,X1)) = mult(mult(X0,X1),X1),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f20,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f21,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f22,plain,
mult(op_a,op_b) = unit,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f23,plain,
mult(op_b,op_a) = unit,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f24,plain,
mult(mult(x0,op_a),op_b) != x0,
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f25,definition,
sF1_fnc = mult(x0,op_a),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f26,definition,
sF0_fnc = mult(sF1_fnc,op_b),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f27,plain,
sF0_fnc != x0,
inference(definition_folding,[],[f24,f26,f25]) ).
fof(f29,plain,
mult(op_b,mult(op_a,op_a)) = mult(unit,op_a),
inference(paramodulation,[status(thm)],[f23,f19]) ).
fof(f30,plain,
mult(op_a,mult(op_b,op_b)) = mult(unit,op_b),
inference(paramodulation,[status(thm)],[f22,f19]) ).
fof(f31,plain,
mult(sF1_fnc,mult(op_b,op_b)) = mult(sF0_fnc,op_b),
inference(paramodulation,[status(thm)],[f26,f19]) ).
fof(f49,plain,
! [X0] : mult(mult(sF1_fnc,X0),op_a) = mult(x0,mult(mult(op_a,X0),op_a)),
inference(paramodulation,[status(thm)],[f25,f18]) ).
fof(f357,plain,
mult(op_a,mult(op_b,op_b)) = op_b,
inference(backward_demodulation,[status(thm)],[f21,f30]) ).
fof(f358,plain,
mult(op_b,mult(op_a,op_a)) = op_a,
inference(backward_demodulation,[status(thm)],[f21,f29]) ).
fof(f720,plain,
mult(mult(sF1_fnc,mult(op_b,op_b)),op_a) = mult(x0,mult(op_b,op_a)),
inference(paramodulation,[status(thm)],[f357,f49]) ).
fof(f735,plain,
mult(mult(sF0_fnc,op_b),op_a) = mult(x0,mult(op_b,op_a)),
inference(forward_demodulation,[status(thm)],[f31,f720]) ).
fof(f736,plain,
mult(mult(sF0_fnc,op_b),op_a) = mult(x0,unit),
inference(forward_demodulation,[status(thm)],[f23,f735]) ).
fof(f737,plain,
mult(mult(sF0_fnc,op_b),op_a) = x0,
inference(forward_demodulation,[status(thm)],[f20,f736]) ).
fof(f744,plain,
mult(x0,op_b) = mult(sF0_fnc,mult(mult(op_b,op_a),op_b)),
inference(paramodulation,[status(thm)],[f737,f18]) ).
fof(f751,plain,
mult(mult(sF0_fnc,op_b),mult(op_a,op_a)) = mult(x0,op_a),
inference(paramodulation,[status(thm)],[f737,f19]) ).
fof(f752,plain,
mult(x0,op_b) = mult(sF0_fnc,mult(unit,op_b)),
inference(forward_demodulation,[status(thm)],[f23,f744]) ).
fof(f753,plain,
mult(x0,op_b) = mult(sF0_fnc,op_b),
inference(forward_demodulation,[status(thm)],[f21,f752]) ).
fof(f755,plain,
mult(mult(sF0_fnc,op_b),mult(op_a,op_a)) = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f25,f751]) ).
fof(f779,plain,
mult(mult(x0,op_b),mult(op_a,op_a)) = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f753,f755]) ).
fof(f780,plain,
mult(sF1_fnc,op_b) = mult(x0,mult(mult(op_b,mult(op_a,op_a)),op_b)),
inference(paramodulation,[status(thm)],[f779,f18]) ).
fof(f790,plain,
sF0_fnc = mult(x0,mult(mult(op_b,mult(op_a,op_a)),op_b)),
inference(forward_demodulation,[status(thm)],[f26,f780]) ).
fof(f791,plain,
sF0_fnc = mult(x0,mult(op_a,op_b)),
inference(forward_demodulation,[status(thm)],[f358,f790]) ).
fof(f792,plain,
sF0_fnc = mult(x0,unit),
inference(forward_demodulation,[status(thm)],[f22,f791]) ).
fof(f793,plain,
sF0_fnc = x0,
inference(forward_demodulation,[status(thm)],[f20,f792]) ).
fof(f794,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f793,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP715-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:36:43 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.02/0.36 % Drodi V4.1.1
% 0.02/0.38 % Refutation found
% 0.02/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.02/0.40 % Elapsed time: 0.039957 seconds
% 0.02/0.40 % CPU time: 0.105525 seconds
% 0.02/0.40 % Total memory used: 4.927 MB
% 0.02/0.40 % Net memory used: 4.857 MB
%------------------------------------------------------------------------------