%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL407-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 01:10:00 PM UTC 2026
% Result : Satisfiable 0.09s 0.45s
% Output : Saturation 0.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : not(X) = xor(X,truth),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : xor(X,falsehood) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : xor(X,X) = falsehood,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : and_star(X,truth) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : and_star(X,falsehood) = falsehood,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : and_star(xor(truth,X),X) = falsehood,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] : xor(X,xor(truth,Y)) = xor(xor(X,truth),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] : and_star(xor(and_star(xor(truth,X),Y),truth),Y) = and_star(xor(and_star(xor(truth,Y),X),truth),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0] : not(X0) = xor(X0,truth),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10,plain,
! [X0] : xor(X0,falsehood) = X0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f11,plain,
! [X0] : xor(X0,X0) = falsehood,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0] : and_star(X0,truth) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
! [X0] : and_star(X0,falsehood) = falsehood,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
! [X0] : and_star(xor(truth,X0),X0) = falsehood,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
! [X0,X1] : xor(X0,xor(truth,X1)) = xor(xor(X0,truth),X1),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f16,plain,
! [X0,X1] : and_star(xor(and_star(xor(truth,X0),X1),truth),X1) = and_star(xor(and_star(xor(truth,X1),X0),truth),X0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f17,plain,
! [X0,X1] : xor(X0,xor(truth,X1)) = xor(not(X0),X1),
inference(forward_demodulation,[status(thm)],[f9,f15]) ).
fof(f18,plain,
! [X0,X1] : and_star(not(and_star(xor(truth,X0),X1)),X1) = and_star(xor(and_star(xor(truth,X1),X0),truth),X0),
inference(forward_demodulation,[status(thm)],[f9,f16]) ).
fof(f19,plain,
! [X0,X1] : and_star(not(and_star(xor(truth,X0),X1)),X1) = and_star(not(and_star(xor(truth,X1),X0)),X0),
inference(forward_demodulation,[status(thm)],[f9,f18]) ).
fof(f20,plain,
not(truth) = falsehood,
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f34,plain,
! [X0] : falsehood = xor(not(xor(truth,X0)),X0),
inference(paramodulation,[status(thm)],[f11,f17]) ).
fof(f35,plain,
! [X0,X1] : xor(X0,xor(not(truth),X1)) = xor(not(X0),xor(truth,X1)),
inference(paramodulation,[status(thm)],[f17,f17]) ).
fof(f36,plain,
! [X0] : xor(X0,not(truth)) = xor(not(X0),truth),
inference(paramodulation,[status(thm)],[f9,f17]) ).
fof(f39,plain,
! [X0] : and_star(xor(not(truth),X0),xor(truth,X0)) = falsehood,
inference(paramodulation,[status(thm)],[f17,f14]) ).
fof(f41,plain,
! [X0,X1] : xor(X0,xor(falsehood,X1)) = xor(not(X0),xor(truth,X1)),
inference(forward_demodulation,[status(thm)],[f20,f35]) ).
fof(f42,plain,
! [X0,X1] : xor(X0,xor(falsehood,X1)) = xor(not(not(X0)),X1),
inference(forward_demodulation,[status(thm)],[f17,f41]) ).
fof(f43,plain,
! [X0] : xor(X0,falsehood) = xor(not(X0),truth),
inference(forward_demodulation,[status(thm)],[f20,f36]) ).
fof(f44,plain,
! [X0] : X0 = xor(not(X0),truth),
inference(forward_demodulation,[status(thm)],[f10,f43]) ).
fof(f45,plain,
! [X0,X1] : xor(X0,xor(falsehood,X1)) = xor(X0,X1),
inference(backward_demodulation,[status(thm)],[f46,f42]) ).
fof(f46,plain,
! [X0] : X0 = not(not(X0)),
inference(forward_demodulation,[status(thm)],[f9,f44]) ).
fof(f50,plain,
! [X0] : and_star(xor(falsehood,X0),xor(truth,X0)) = falsehood,
inference(forward_demodulation,[status(thm)],[f20,f39]) ).
fof(f53,plain,
! [X0] : falsehood = and_star(not(and_star(xor(truth,falsehood),X0)),X0),
inference(paramodulation,[status(thm)],[f13,f19]) ).
fof(f54,plain,
! [X0] : not(and_star(xor(truth,X0),truth)) = and_star(not(and_star(xor(truth,truth),X0)),X0),
inference(paramodulation,[status(thm)],[f12,f19]) ).
fof(f57,plain,
! [X0,X1] : and_star(not(and_star(xor(not(truth),X0),X1)),X1) = and_star(not(and_star(xor(truth,X1),xor(truth,X0))),xor(truth,X0)),
inference(paramodulation,[status(thm)],[f17,f19]) ).
fof(f75,plain,
! [X0] : falsehood = and_star(not(and_star(truth,X0)),X0),
inference(forward_demodulation,[status(thm)],[f10,f53]) ).
fof(f76,plain,
! [X0] : not(xor(truth,X0)) = and_star(not(and_star(xor(truth,truth),X0)),X0),
inference(forward_demodulation,[status(thm)],[f12,f54]) ).
fof(f77,plain,
! [X0] : not(xor(truth,X0)) = and_star(not(and_star(not(truth),X0)),X0),
inference(forward_demodulation,[status(thm)],[f9,f76]) ).
fof(f78,plain,
! [X0] : not(xor(truth,X0)) = and_star(not(and_star(falsehood,X0)),X0),
inference(forward_demodulation,[status(thm)],[f20,f77]) ).
fof(f84,plain,
! [X0,X1] : and_star(not(and_star(xor(falsehood,X0),X1)),X1) = and_star(not(and_star(xor(truth,X1),xor(truth,X0))),xor(truth,X0)),
inference(forward_demodulation,[status(thm)],[f20,f57]) ).
fof(f116,plain,
truth = not(falsehood),
inference(paramodulation,[status(thm)],[f20,f46]) ).
fof(f117,plain,
! [X0] : falsehood = xor(not(not(xor(truth,xor(truth,X0)))),X0),
inference(paramodulation,[status(thm)],[f17,f34]) ).
fof(f127,plain,
! [X0] : falsehood = xor(xor(truth,xor(truth,X0)),X0),
inference(forward_demodulation,[status(thm)],[f46,f117]) ).
fof(f128,plain,
! [X0] : falsehood = xor(xor(not(truth),X0),X0),
inference(forward_demodulation,[status(thm)],[f17,f127]) ).
fof(f129,plain,
! [X0] : falsehood = xor(xor(falsehood,X0),X0),
inference(forward_demodulation,[status(thm)],[f20,f128]) ).
fof(f146,plain,
! [X0] : and_star(xor(not(falsehood),X0),xor(truth,xor(truth,X0))) = falsehood,
inference(paramodulation,[status(thm)],[f17,f50]) ).
fof(f154,plain,
! [X0] : and_star(xor(truth,X0),xor(truth,xor(truth,X0))) = falsehood,
inference(forward_demodulation,[status(thm)],[f116,f146]) ).
fof(f155,plain,
! [X0] : and_star(xor(truth,X0),xor(not(truth),X0)) = falsehood,
inference(forward_demodulation,[status(thm)],[f17,f154]) ).
fof(f156,plain,
! [X0] : and_star(xor(truth,X0),xor(falsehood,X0)) = falsehood,
inference(forward_demodulation,[status(thm)],[f20,f155]) ).
fof(f181,plain,
! [X0,X1] : and_star(not(and_star(xor(truth,X0),xor(falsehood,X1))),xor(falsehood,X1)) = and_star(not(and_star(xor(truth,X1),X0)),X0),
inference(paramodulation,[status(thm)],[f45,f19]) ).
fof(f255,plain,
! [X0,X1] : and_star(not(and_star(xor(falsehood,X0),xor(falsehood,X1))),xor(falsehood,X1)) = and_star(not(and_star(xor(truth,X1),xor(truth,X0))),xor(truth,X0)),
inference(paramodulation,[status(thm)],[f45,f84]) ).
fof(f256,plain,
! [X0,X1] : and_star(not(and_star(xor(falsehood,X0),xor(truth,X1))),xor(truth,X1)) = and_star(not(and_star(xor(not(truth),X1),xor(truth,X0))),xor(truth,X0)),
inference(paramodulation,[status(thm)],[f17,f84]) ).
fof(f297,plain,
! [X0,X1] : and_star(not(and_star(xor(falsehood,X0),xor(truth,X1))),xor(truth,X1)) = and_star(not(and_star(xor(falsehood,X1),xor(truth,X0))),xor(truth,X0)),
inference(forward_demodulation,[status(thm)],[f20,f256]) ).
fof(f368,plain,
! [X0] : and_star(not(and_star(xor(truth,xor(falsehood,X0)),X0)),X0) = and_star(not(falsehood),xor(falsehood,X0)),
inference(paramodulation,[status(thm)],[f156,f19]) ).
fof(f386,plain,
! [X0] : and_star(not(and_star(xor(truth,X0),X0)),X0) = and_star(not(falsehood),xor(falsehood,X0)),
inference(forward_demodulation,[status(thm)],[f45,f368]) ).
fof(f387,plain,
! [X0] : and_star(not(falsehood),X0) = and_star(not(falsehood),xor(falsehood,X0)),
inference(forward_demodulation,[status(thm)],[f14,f386]) ).
fof(f388,plain,
! [X0] : and_star(truth,X0) = and_star(not(falsehood),xor(falsehood,X0)),
inference(forward_demodulation,[status(thm)],[f116,f387]) ).
fof(f389,plain,
! [X0] : and_star(truth,X0) = and_star(truth,xor(falsehood,X0)),
inference(forward_demodulation,[status(thm)],[f116,f388]) ).
fof(f395,plain,
! [X0,X1] : and_star(not(and_star(xor(truth,xor(falsehood,X0)),xor(falsehood,X1))),xor(falsehood,X1)) = and_star(not(and_star(xor(truth,X0),X1)),X1),
inference(paramodulation,[status(thm)],[f181,f181]) ).
fof(f400,plain,
! [X0,X1] : and_star(not(and_star(xor(truth,X0),xor(falsehood,X1))),xor(falsehood,X1)) = and_star(not(and_star(xor(truth,X1),xor(falsehood,X0))),xor(falsehood,X0)),
inference(paramodulation,[status(thm)],[f45,f181]) ).
fof(f430,plain,
! [X0,X1] : and_star(not(and_star(xor(truth,X0),xor(falsehood,X1))),xor(falsehood,X1)) = and_star(not(and_star(xor(truth,X0),X1)),X1),
inference(forward_demodulation,[status(thm)],[f45,f395]) ).
fof(f524,plain,
! [X0,X1] : and_star(not(and_star(xor(falsehood,X0),xor(falsehood,X1))),xor(falsehood,X1)) = and_star(not(and_star(xor(falsehood,X0),X1)),X1),
inference(paramodulation,[status(thm)],[f84,f255]) ).
fof(f708,plain,
! [X0] : falsehood = and_star(not(and_star(truth,X0)),xor(falsehood,X0)),
inference(paramodulation,[status(thm)],[f389,f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL407-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 00:31:07 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.45 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.09/0.45 % SZS output start Saturation for theBenchmark
% See solution above
% 0.09/0.47 % Elapsed time: 0.083000 seconds
% 0.09/0.47 % CPU time: 0.471264 seconds
% 0.09/0.47 % Total memory used: 11.053 MB
% 0.09/0.47 % Net memory used: 10.758 MB
%------------------------------------------------------------------------------