%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HWV036-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 12:46:45 PM UTC 2026
% Result : Satisfiable 0.08s 0.37s
% Output : Saturation 0.08s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [P1,P2] :
( zero(P2)
| ~ zero(P1)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [P1,P2] :
( one(P2)
| ~ one(P1)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [P1,P2] :
( zero(P1)
| ~ zero(P2)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [P1,P2] :
( one(P1)
| ~ one(P2)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [P] :
( ~ one(P)
| ~ zero(P) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [K] :
( zero(out1(K))
| ~ zero(in1(K))
| ~ and_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [K] :
( zero(out1(K))
| ~ zero(in2(K))
| ~ and_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [K] :
( one(out1(K))
| ~ one(in2(K))
| ~ one(in1(K))
| ~ and_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [K] :
( zero(in2(K))
| zero(in1(K))
| ~ zero(out1(K))
| ~ and_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [K] :
( one(in1(K))
| ~ one(out1(K))
| ~ and_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [K] :
( one(in2(K))
| ~ one(out1(K))
| ~ and_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [K] :
( ~ abnormal(K)
| ~ and_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [K] :
( abnormal(K)
| and_ok(K)
| ~ logic_and(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [K] :
( one(out1(K))
| ~ one(in1(K))
| ~ or_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [K] :
( one(out1(K))
| ~ one(in2(K))
| ~ or_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [K] :
( zero(out1(K))
| ~ zero(in2(K))
| ~ zero(in1(K))
| ~ or_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [K] :
( one(in2(K))
| one(in1(K))
| ~ one(out1(K))
| ~ or_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [K] :
( zero(in1(K))
| ~ zero(out1(K))
| ~ or_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [K] :
( zero(in2(K))
| ~ zero(out1(K))
| ~ or_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [K] :
( ~ abnormal(K)
| ~ or_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [K] :
( abnormal(K)
| or_ok(K)
| ~ logic_or(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [K] :
( one(out1(K))
| ~ zero(in1(K))
| ~ not_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [K] :
( zero(out1(K))
| ~ one(in1(K))
| ~ not_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [K] :
( one(in1(K))
| ~ zero(out1(K))
| ~ not_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [K] :
( zero(in1(K))
| ~ one(out1(K))
| ~ not_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [K] :
( ~ abnormal(K)
| ~ not_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [K] :
( abnormal(K)
| not_ok(K)
| ~ logic_not(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X] :
( logic_and(and1(X))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X] :
( logic_and(and2(X))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X] :
( logic_not(not1(X))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X] :
( logic_or(or1(X))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X] :
( connection(in1(X),in1(or1(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X] :
( connection(in2(X),in2(or1(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X] :
( connection(in1(X),in1(and2(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [X] :
( connection(in2(X),in2(and2(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [X] :
( connection(outs(X),out1(and1(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [X] :
( connection(outc(X),out1(and2(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [X] :
( connection(out1(or1(X)),in1(and1(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X] :
( connection(out1(and2(X)),in1(not1(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X] :
( connection(out1(not1(X)),in2(and1(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [X] :
( halfadder(h1(X))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [X] :
( halfadder(h2(X))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X] :
( logic_or(or1(X))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [X] :
( connection(outs(h1(X)),in2(h2(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [X] :
( connection(outc(h1(X)),in2(or1(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [X] :
( connection(outc(h2(X)),in1(or1(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [X] :
( connection(in1(X),in1(h2(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [X] :
( connection(in2(X),in1(h1(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,axiom,
! [X] :
( connection(inc(X),in2(h1(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [X] :
( connection(outs(X),outs(h2(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [X] :
( connection(outc(X),out1(or1(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,plain,
! [P2] :
( zero(P2)
| ! [P1] :
( ~ zero(P1)
| ~ connection(P1,P2) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f53,plain,
! [X0,X1] :
( zero(X1)
| ~ zero(X0)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
! [P2] :
( one(P2)
| ! [P1] :
( ~ one(P1)
| ~ connection(P1,P2) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f55,plain,
! [X0,X1] :
( one(X1)
| ~ one(X0)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f56,plain,
! [P1] :
( zero(P1)
| ! [P2] :
( ~ zero(P2)
| ~ connection(P1,P2) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f57,plain,
! [X0,X1] :
( zero(X0)
| ~ zero(X1)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f58,plain,
! [P1] :
( one(P1)
| ! [P2] :
( ~ one(P2)
| ~ connection(P1,P2) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f59,plain,
! [X0,X1] :
( one(X0)
| ~ one(X1)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f60,plain,
! [X0] :
( ~ one(X0)
| ~ zero(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f61,plain,
! [X0] :
( zero(out1(X0))
| ~ zero(in1(X0))
| ~ and_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f62,plain,
! [X0] :
( zero(out1(X0))
| ~ zero(in2(X0))
| ~ and_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f63,plain,
! [X0] :
( one(out1(X0))
| ~ one(in2(X0))
| ~ one(in1(X0))
| ~ and_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f64,plain,
! [X0] :
( zero(in2(X0))
| zero(in1(X0))
| ~ zero(out1(X0))
| ~ and_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f65,plain,
! [X0] :
( one(in1(X0))
| ~ one(out1(X0))
| ~ and_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f66,plain,
! [X0] :
( one(in2(X0))
| ~ one(out1(X0))
| ~ and_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f67,plain,
! [X0] :
( ~ abnormal(X0)
| ~ and_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f68,plain,
! [X0] :
( abnormal(X0)
| and_ok(X0)
| ~ logic_and(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f69,plain,
! [X0] :
( one(out1(X0))
| ~ one(in1(X0))
| ~ or_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f70,plain,
! [X0] :
( one(out1(X0))
| ~ one(in2(X0))
| ~ or_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f71,plain,
! [X0] :
( zero(out1(X0))
| ~ zero(in2(X0))
| ~ zero(in1(X0))
| ~ or_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f72,plain,
! [X0] :
( one(in2(X0))
| one(in1(X0))
| ~ one(out1(X0))
| ~ or_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f73,plain,
! [X0] :
( zero(in1(X0))
| ~ zero(out1(X0))
| ~ or_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f74,plain,
! [X0] :
( zero(in2(X0))
| ~ zero(out1(X0))
| ~ or_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f75,plain,
! [X0] :
( ~ abnormal(X0)
| ~ or_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f76,plain,
! [X0] :
( abnormal(X0)
| or_ok(X0)
| ~ logic_or(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f77,plain,
! [X0] :
( one(out1(X0))
| ~ zero(in1(X0))
| ~ not_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f78,plain,
! [X0] :
( zero(out1(X0))
| ~ one(in1(X0))
| ~ not_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f79,plain,
! [X0] :
( one(in1(X0))
| ~ zero(out1(X0))
| ~ not_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f80,plain,
! [X0] :
( zero(in1(X0))
| ~ one(out1(X0))
| ~ not_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f81,plain,
! [X0] :
( ~ abnormal(X0)
| ~ not_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f82,plain,
! [X0] :
( abnormal(X0)
| not_ok(X0)
| ~ logic_not(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f83,plain,
! [X0] :
( logic_and(and1(X0))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f84,plain,
! [X0] :
( logic_and(and2(X0))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f85,plain,
! [X0] :
( logic_not(not1(X0))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f86,plain,
! [X0] :
( logic_or(or1(X0))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f87,plain,
! [X0] :
( connection(in1(X0),in1(or1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f88,plain,
! [X0] :
( connection(in2(X0),in2(or1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f89,plain,
! [X0] :
( connection(in1(X0),in1(and2(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f90,plain,
! [X0] :
( connection(in2(X0),in2(and2(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f91,plain,
! [X0] :
( connection(outs(X0),out1(and1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f92,plain,
! [X0] :
( connection(outc(X0),out1(and2(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f93,plain,
! [X0] :
( connection(out1(or1(X0)),in1(and1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f94,plain,
! [X0] :
( connection(out1(and2(X0)),in1(not1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f95,plain,
! [X0] :
( connection(out1(not1(X0)),in2(and1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f96,plain,
! [X0] :
( halfadder(h1(X0))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f97,plain,
! [X0] :
( halfadder(h2(X0))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f98,plain,
! [X0] :
( logic_or(or1(X0))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f99,plain,
! [X0] :
( connection(outs(h1(X0)),in2(h2(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f100,plain,
! [X0] :
( connection(outc(h1(X0)),in2(or1(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f101,plain,
! [X0] :
( connection(outc(h2(X0)),in1(or1(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f102,plain,
! [X0] :
( connection(in1(X0),in1(h2(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f103,plain,
! [X0] :
( connection(in2(X0),in1(h1(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f104,plain,
! [X0] :
( connection(inc(X0),in2(h1(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f105,plain,
! [X0] :
( connection(outs(X0),outs(h2(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f106,plain,
! [X0] :
( connection(outc(X0),out1(or1(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV036-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n007.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:47:35 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.08/0.37 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.08/0.37 % SZS output start Saturation for theBenchmark
% See solution above
% 0.12/0.38 % Elapsed time: 0.029678 seconds
% 0.12/0.38 % CPU time: 0.077149 seconds
% 0.12/0.38 % Total memory used: 2.867 MB
% 0.12/0.38 % Net memory used: 2.832 MB
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