%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP710-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 12:35:12 PM UTC 2026
% Result : Unsatisfiable 0.23s 5.63s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 39 unt; 1 def)
% Number of atoms : 39 ( 38 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C] : mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : mult(A,i(A)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] : mult(i(A),A) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X2] : mult(x0,X2) != x1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f9,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0] : mult(X0,i(X0)) = unit,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
! [X0] : mult(i(X0),X0) = unit,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
! [X0] : mult(x0,X0) != x1,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f13,definition,
! [X0] : sF0_fnc(X0) = mult(x0,X0),
introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition]) ).
fof(f14,plain,
! [X0] : sF0_fnc(X0) != x1,
inference(definition_folding,[],[f12,f13]) ).
fof(f452,plain,
! [X0,X1] : mult(X0,mult(X1,mult(X1,unit))) = mult(mult(X0,X1),X1),
inference(paramodulation,[status(thm)],[f9,f7]) ).
fof(f478,plain,
! [X0,X1] : mult(X0,mult(X1,X1)) = mult(mult(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f7,f452]) ).
fof(f567,plain,
! [X0,X1] : mult(X0,mult(i(X0),mult(i(X0),X1))) = mult(mult(unit,i(X0)),X1),
inference(paramodulation,[status(thm)],[f10,f9]) ).
fof(f570,plain,
! [X0,X1] : mult(X0,mult(i(X0),mult(i(X0),X1))) = mult(i(X0),X1),
inference(forward_demodulation,[status(thm)],[f8,f567]) ).
fof(f587,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,X1)),X2),
inference(backward_demodulation,[status(thm)],[f478,f9]) ).
fof(f594,plain,
! [X0] : mult(i(X0),mult(X0,X0)) = mult(unit,X0),
inference(paramodulation,[status(thm)],[f11,f478]) ).
fof(f618,plain,
! [X0] : mult(i(X0),mult(X0,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f594]) ).
fof(f660,plain,
! [X0,X1] : mult(X0,mult(x0,mult(x0,X1))) = mult(mult(X0,sF0_fnc(x0)),X1),
inference(paramodulation,[status(thm)],[f13,f587]) ).
fof(f711,plain,
! [X0,X1] : mult(X0,sF0_fnc(mult(x0,X1))) = mult(mult(X0,sF0_fnc(x0)),X1),
inference(forward_demodulation,[status(thm)],[f13,f660]) ).
fof(f712,plain,
! [X0,X1] : mult(X0,sF0_fnc(sF0_fnc(X1))) = mult(mult(X0,sF0_fnc(x0)),X1),
inference(forward_demodulation,[status(thm)],[f13,f711]) ).
fof(f845,plain,
mult(i(x0),sF0_fnc(x0)) = x0,
inference(paramodulation,[status(thm)],[f13,f618]) ).
fof(f1662,plain,
! [X0] : mult(i(x0),sF0_fnc(sF0_fnc(X0))) = mult(x0,X0),
inference(paramodulation,[status(thm)],[f845,f712]) ).
fof(f1663,plain,
! [X0] : mult(i(sF0_fnc(x0)),sF0_fnc(sF0_fnc(X0))) = mult(unit,X0),
inference(paramodulation,[status(thm)],[f11,f712]) ).
fof(f1721,plain,
! [X0] : mult(i(x0),sF0_fnc(sF0_fnc(X0))) = sF0_fnc(X0),
inference(forward_demodulation,[status(thm)],[f13,f1662]) ).
fof(f1722,plain,
! [X0] : mult(i(sF0_fnc(x0)),sF0_fnc(sF0_fnc(X0))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f1663]) ).
fof(f1820,plain,
! [X0] : mult(x0,mult(i(x0),sF0_fnc(X0))) = mult(i(x0),sF0_fnc(sF0_fnc(X0))),
inference(paramodulation,[status(thm)],[f1721,f570]) ).
fof(f1833,plain,
! [X0] : sF0_fnc(mult(i(x0),sF0_fnc(X0))) = mult(i(x0),sF0_fnc(sF0_fnc(X0))),
inference(forward_demodulation,[status(thm)],[f13,f1820]) ).
fof(f1834,plain,
! [X0] : sF0_fnc(mult(i(x0),sF0_fnc(X0))) = sF0_fnc(X0),
inference(forward_demodulation,[status(thm)],[f1721,f1833]) ).
fof(f1866,plain,
! [X0] : mult(i(sF0_fnc(x0)),sF0_fnc(sF0_fnc(X0))) = mult(i(x0),sF0_fnc(X0)),
inference(paramodulation,[status(thm)],[f1834,f1722]) ).
fof(f1871,plain,
! [X0] : X0 = mult(i(x0),sF0_fnc(X0)),
inference(forward_demodulation,[status(thm)],[f1722,f1866]) ).
fof(f1880,plain,
! [X0] : mult(x0,mult(i(x0),X0)) = mult(i(x0),sF0_fnc(X0)),
inference(paramodulation,[status(thm)],[f1871,f570]) ).
fof(f1886,plain,
! [X0] : sF0_fnc(mult(i(x0),X0)) = mult(i(x0),sF0_fnc(X0)),
inference(forward_demodulation,[status(thm)],[f13,f1880]) ).
fof(f1887,plain,
! [X0] : sF0_fnc(mult(i(x0),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f1871,f1886]) ).
fof(f2041,plain,
! [X0] : X0 != x1,
inference(paramodulation,[status(thm)],[f1887,f14]) ).
fof(f2059,plain,
$false,
inference(destructive_equality_resolution,[status(thm)],[f2041]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP710-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/5.46 % Computer : n020.cluster.edu
% 0.18/5.46 % Model : x86_64 x86_64
% 0.18/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.46 % Memory : 8046.5625MB
% 0.18/5.46 % OS : Linux 6.8.0-71-generic
% 0.18/5.46 % CPULimit : 300
% 0.18/5.46 % WCLimit : 300
% 0.18/5.46 % DateTime : Sun Sep 20 20:35:37 UTC 2026
% 0.18/5.46 % CPUTime :
% 0.18/5.47 % Drodi V4.1.1
% 0.23/5.63 % Refutation found
% 0.23/5.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/5.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/5.66 % Elapsed time: 0.187787 seconds
% 0.23/5.66 % CPU time: 1.251109 seconds
% 0.23/5.66 % Total memory used: 32.694 MB
% 0.23/5.66 % Net memory used: 31.901 MB
%------------------------------------------------------------------------------