%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO027-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 12:06:47 PM UTC 2026
% Result : Satisfiable 0.10s 0.35s
% Output : Saturation 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : multiply(X,add(Y,Z)) = add(multiply(Y,X),multiply(Z,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : add(X,inverse(X)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : add(multiply(X,inverse(X)),add(multiply(X,Y),multiply(inverse(X),Y))) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : add(multiply(X,inverse(Y)),add(multiply(X,Y),multiply(inverse(Y),Y))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : add(multiply(X,inverse(Y)),add(multiply(X,X),multiply(inverse(Y),X))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
add(a,a) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X1,X0),multiply(X2,X0)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0] : add(X0,inverse(X0)) = one,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f9,plain,
! [X0,X1] : add(multiply(X0,inverse(X0)),add(multiply(X0,X1),multiply(inverse(X0),X1))) = X1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),add(multiply(X0,X1),multiply(inverse(X1),X1))) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),add(multiply(X0,X0),multiply(inverse(X1),X0))) = X0,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
add(a,a) != a,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f13,definition,
sF0_fnc = add(a,a),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f14,plain,
sF0_fnc != a,
inference(definition_folding,[],[f12,f13]) ).
fof(f15,plain,
! [X0,X1] : add(multiply(X0,inverse(X0)),multiply(X1,add(X0,inverse(X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f7,f9]) ).
fof(f16,plain,
! [X0,X1] : add(multiply(X0,inverse(X0)),multiply(X1,one)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f15]) ).
fof(f17,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),multiply(X1,add(X0,inverse(X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f7,f10]) ).
fof(f18,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),multiply(X0,add(X0,inverse(X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f7,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO027-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.34 % Computer : n003.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Mon Sep 21 13:50:32 UTC 2026
% 0.10/0.34 % CPUTime :
% 0.10/0.35 % Drodi V4.1.1
% 0.10/0.35 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.10/0.35 % SZS output start Saturation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.033942 seconds
% 0.13/0.38 % CPU time: 0.020715 seconds
% 0.13/0.38 % Total memory used: 400.032 KB
% 0.13/0.38 % Net memory used: 369.168 KB
%------------------------------------------------------------------------------