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Drodi-SAT---4.1.1.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SYN303-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n002.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 03:19:17 PM UTC 2026

% Result   : Satisfiable 0.10s 0.38s
% Output   : Saturation 0.10s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] : ifeq(A,A,B,C) = B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ! [X] : p(X,X) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [X,Y] : ifeq(p(X,Y),true,p(Y,X),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ! [X,Y] : ifeq(p(f(X),f(Y)),true,p(X,Y),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ! [X,Y] : ifeq(p(X,Y),true,p(f(X),f(Y)),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ! [X] : p(a,f(X)) != true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,plain,
    ! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f8,plain,
    ! [X0] : p(X0,X0) = true,
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f9,plain,
    ! [X0,X1] : ifeq(p(X0,X1),true,p(X1,X0),true) = true,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f10,plain,
    ! [X0,X1] : ifeq(p(f(X0),f(X1)),true,p(X0,X1),true) = true,
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f11,plain,
    ! [X0,X1] : ifeq(p(X0,X1),true,p(f(X0),f(X1)),true) = true,
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f12,plain,
    ! [X0] : p(a,f(X0)) != true,
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f13,definition,
    ! [X0] : sF0_fnc(X0) = p(a,f(X0)),
    introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition]) ).

fof(f14,plain,
    ! [X0] : sF0_fnc(X0) != true,
    inference(definition_folding,[],[f12,f13]) ).

fof(f15,plain,
    ! [X0] : ifeq(sF0_fnc(X0),true,p(f(X0),a),true) = true,
    inference(paramodulation,[status(thm)],[f13,f9]) ).

fof(f17,plain,
    ! [X0] : ifeq(p(f(X0),a),true,sF0_fnc(X0),true) = true,
    inference(paramodulation,[status(thm)],[f13,f9]) ).

fof(f22,plain,
    ! [X0] : ifeq(p(f(a),f(f(X0))),true,sF0_fnc(X0),true) = true,
    inference(paramodulation,[status(thm)],[f13,f10]) ).

fof(f26,plain,
    ! [X0] : ifeq(sF0_fnc(X0),true,p(f(a),f(f(X0))),true) = true,
    inference(paramodulation,[status(thm)],[f13,f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN303-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n002.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 10:51:02 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  % Drodi V4.1.1
% 0.10/0.38  % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.10/0.38  % SZS output start Saturation for theBenchmark
% See solution above
% 0.10/0.39  % Elapsed time: 0.020407 seconds
% 0.10/0.39  % CPU time: 0.024917 seconds
% 0.10/0.39  % Total memory used: 420.976 KB
% 0.10/0.39  % Net memory used: 394.608 KB
%------------------------------------------------------------------------------