%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV006-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 : Fri Sep 25 01:37:37 PM UTC 2026
% Result : Unsatisfiable 5.21s 16.19s
% Output : Proof 5.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 51
% Syntax : Number of formulae : 320 ( 94 unt; 0 def)
% Number of atoms : 633 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 599 ( 286 ~; 313 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 1 con; 0-1 aty)
% Number of variables : 168 ( 0 sgn 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f39,axiom,
( connection(out1(not1(X)),in2(and1(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1not1_in2and1) ).
fof(f39_nnf,plain,
! [X] :
( connection(out1(not1(X)),in2(and1(X)))
| ~ halfadder(X) ),
inference(nnf_transformation,[status(thm)],[f39]) ).
fof(f39_sk,plain,
! [X] :
( connection(out1(not1(X)),in2(and1(X)))
| ~ halfadder(X) ),
inference(skolemisation,[status(esa)],[f39_nnf]) ).
cnf(c39,plain,
( connection(out1(not1(X0)),in2(and1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(esa)],[f39_sk]) ).
cnf(f40,axiom,
( halfadder(h1(X))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_halfadder1) ).
fof(f40_nnf,plain,
! [X] :
( halfadder(h1(X))
| ~ fulladder(X) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [X] :
( halfadder(h1(X))
| ~ fulladder(X) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c40,plain,
( halfadder(h1(X0))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(f51,hypothesis,
fulladder(f),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_isa_fulladder) ).
fof(f51_nnf,plain,
fulladder(f),
inference(nnf_transformation,[status(thm)],[f51]) ).
cnf(c51,plain,
fulladder(f),
inference(cnf_transformation,[status(esa)],[f51_nnf]) ).
cnf(p66,plain,
halfadder(h1(f)),
inference(resolution,[status(thm)],[c40,c51]) ).
cnf(p188,plain,
connection(out1(not1(h1(f))),in2(and1(h1(f)))),
inference(resolution,[status(thm)],[c39,p66]) ).
cnf(f1,axiom,
( one(P2)
| ~ one(P1)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation_one1) ).
fof(f1_nnf,plain,
! [P1,P2] :
( one(P2)
| ~ one(P1)
| ~ connection(P1,P2) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [P1,P2] :
( one(P2)
| ~ one(P1)
| ~ connection(P1,P2) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( one(X1)
| ~ one(X0)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p258,plain,
( one(in2(and1(h1(f))))
| ~ one(out1(not1(h1(f)))) ),
inference(resolution,[status(thm)],[p188,c1]) ).
cnf(f38,axiom,
( connection(out1(and2(X)),in1(not1(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1and2_in1not1) ).
fof(f38_nnf,plain,
! [X] :
( connection(out1(and2(X)),in1(not1(X)))
| ~ halfadder(X) ),
inference(nnf_transformation,[status(thm)],[f38]) ).
fof(f38_sk,plain,
! [X] :
( connection(out1(and2(X)),in1(not1(X)))
| ~ halfadder(X) ),
inference(skolemisation,[status(esa)],[f38_nnf]) ).
cnf(c38,plain,
( connection(out1(and2(X0)),in1(not1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(p180,plain,
connection(out1(and2(h1(f))),in1(not1(h1(f)))),
inference(resolution,[status(thm)],[c38,p66]) ).
cnf(f0,axiom,
( zero(P2)
| ~ zero(P1)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation_zero1) ).
fof(f0_nnf,plain,
! [P1,P2] :
( zero(P2)
| ~ zero(P1)
| ~ connection(P1,P2) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [P1,P2] :
( zero(P2)
| ~ zero(P1)
| ~ connection(P1,P2) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( zero(X1)
| ~ zero(X0)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p247,plain,
( zero(in1(not1(h1(f))))
| ~ zero(out1(and2(h1(f)))) ),
inference(resolution,[status(thm)],[p180,c0]) ).
cnf(f33,axiom,
( connection(in1(X),in1(and2(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in1_in1and2) ).
fof(f33_nnf,plain,
! [X] :
( connection(in1(X),in1(and2(X)))
| ~ halfadder(X) ),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
! [X] :
( connection(in1(X),in1(and2(X)))
| ~ halfadder(X) ),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c33,plain,
( connection(in1(X0),in1(and2(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(p107,plain,
connection(in1(h1(f)),in1(and2(h1(f)))),
inference(resolution,[status(thm)],[c33,p66]) ).
cnf(p110,plain,
( zero(in1(and2(h1(f))))
| ~ zero(in1(h1(f))) ),
inference(resolution,[status(thm)],[p107,c0]) ).
cnf(f47,axiom,
( connection(in2(X),in1(h1(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_in2_in1h1) ).
fof(f47_nnf,plain,
! [X] :
( connection(in2(X),in1(h1(X)))
| ~ fulladder(X) ),
inference(nnf_transformation,[status(thm)],[f47]) ).
fof(f47_sk,plain,
! [X] :
( connection(in2(X),in1(h1(X)))
| ~ fulladder(X) ),
inference(skolemisation,[status(esa)],[f47_nnf]) ).
cnf(c47,plain,
( connection(in2(X0),in1(h1(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(esa)],[f47_sk]) ).
cnf(p157,plain,
connection(in2(f),in1(h1(f))),
inference(resolution,[status(thm)],[c47,c51]) ).
cnf(p158,plain,
( zero(in1(h1(f)))
| ~ zero(in2(f)) ),
inference(resolution,[status(thm)],[p157,c0]) ).
cnf(f53,hypothesis,
zero(in2(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in2_0) ).
fof(f53_nnf,plain,
zero(in2(f)),
inference(nnf_transformation,[status(thm)],[f53]) ).
cnf(c53,plain,
zero(in2(f)),
inference(cnf_transformation,[status(esa)],[f53_nnf]) ).
cnf(p160,plain,
zero(in1(h1(f))),
inference(resolution,[status(thm)],[p158,c53]) ).
cnf(p267,plain,
zero(in1(and2(h1(f)))),
inference(resolution,[status(thm)],[p110,p160]) ).
cnf(f12,axiom,
( abnormal(K)
| and_ok(K)
| ~ logic_and(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_ok_or_abnormal) ).
fof(f12_nnf,plain,
! [K] :
( abnormal(K)
| and_ok(K)
| ~ logic_and(K) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [K] :
( abnormal(K)
| and_ok(K)
| ~ logic_and(K) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( abnormal(X0)
| and_ok(X0)
| ~ logic_and(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(f28,axiom,
( logic_and(and2(X))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_and2) ).
fof(f28_nnf,plain,
! [X] :
( logic_and(and2(X))
| ~ halfadder(X) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
! [X] :
( logic_and(and2(X))
| ~ halfadder(X) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
( logic_and(and2(X0))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p68,plain,
logic_and(and2(h1(f))),
inference(resolution,[status(thm)],[p66,c28]) ).
cnf(p78,plain,
( abnormal(and2(h1(f)))
| and_ok(and2(h1(f))) ),
inference(resolution,[status(thm)],[c12,p68]) ).
cnf(f62,negated_conjecture,
~ abnormal(and2(h1(f))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h1) ).
fof(f62_nnf,plain,
~ abnormal(and2(h1(f))),
inference(nnf_transformation,[status(thm)],[f62]) ).
fof(f62_sk,plain,
~ abnormal(and2(h1(f))),
inference(skolemisation,[status(esa)],[f62_nnf]) ).
cnf(c62,plain,
~ abnormal(and2(h1(f))),
inference(cnf_transformation,[status(esa)],[f62_sk]) ).
cnf(p190,plain,
and_ok(and2(h1(f))),
inference(resolution,[status(thm)],[p78,c62]) ).
cnf(f5,axiom,
( zero(out1(K))
| ~ zero(in1(K))
| ~ and_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_0x_0) ).
fof(f5_nnf,plain,
! [K] :
( zero(out1(K))
| ~ zero(in1(K))
| ~ and_ok(K) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [K] :
( zero(out1(K))
| ~ zero(in1(K))
| ~ and_ok(K) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( zero(out1(X0))
| ~ zero(in1(X0))
| ~ and_ok(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p192,plain,
( zero(out1(and2(h1(f))))
| ~ zero(in1(and2(h1(f)))) ),
inference(resolution,[status(thm)],[p190,c5]) ).
cnf(p269,plain,
zero(out1(and2(h1(f)))),
inference(resolution,[status(thm)],[p267,p192]) ).
cnf(p314,plain,
zero(in1(not1(h1(f)))),
inference(resolution,[status(thm)],[p247,p269]) ).
cnf(f26,axiom,
( abnormal(K)
| not_ok(K)
| ~ logic_not(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_ok_or_abnormal) ).
fof(f26_nnf,plain,
! [K] :
( abnormal(K)
| not_ok(K)
| ~ logic_not(K) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [K] :
( abnormal(K)
| not_ok(K)
| ~ logic_not(K) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
( abnormal(X0)
| not_ok(X0)
| ~ logic_not(X0) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(f29,axiom,
( logic_not(not1(X))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_not1) ).
fof(f29_nnf,plain,
! [X] :
( logic_not(not1(X))
| ~ halfadder(X) ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
! [X] :
( logic_not(not1(X))
| ~ halfadder(X) ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
( logic_not(not1(X0))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(p69,plain,
logic_not(not1(h1(f))),
inference(resolution,[status(thm)],[p66,c29]) ).
cnf(p84,plain,
( abnormal(not1(h1(f)))
| not_ok(not1(h1(f))) ),
inference(resolution,[status(thm)],[c26,p69]) ).
cnf(f21,axiom,
( one(out1(K))
| ~ zero(in1(K))
| ~ not_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_0_1_fw) ).
fof(f21_nnf,plain,
! [K] :
( one(out1(K))
| ~ zero(in1(K))
| ~ not_ok(K) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [K] :
( one(out1(K))
| ~ zero(in1(K))
| ~ not_ok(K) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( one(out1(X0))
| ~ zero(in1(X0))
| ~ not_ok(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p231,plain,
( one(out1(not1(h1(f))))
| ~ zero(in1(not1(h1(f))))
| abnormal(not1(h1(f))) ),
inference(resolution,[status(thm)],[p84,c21]) ).
cnf(p316,plain,
( one(out1(not1(h1(f))))
| abnormal(not1(h1(f))) ),
inference(resolution,[status(thm)],[p314,p231]) ).
cnf(p320,plain,
( abnormal(not1(h1(f)))
| one(in2(and1(h1(f)))) ),
inference(resolution,[status(thm)],[p258,p316]) ).
cnf(f20,axiom,
( abnormal(K)
| or_ok(K)
| ~ logic_or(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_ok_or_abnormal) ).
fof(f20_nnf,plain,
! [K] :
( abnormal(K)
| or_ok(K)
| ~ logic_or(K) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [K] :
( abnormal(K)
| or_ok(K)
| ~ logic_or(K) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( abnormal(X0)
| or_ok(X0)
| ~ logic_or(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(f30,axiom,
( logic_or(or1(X))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_or1) ).
fof(f30_nnf,plain,
! [X] :
( logic_or(or1(X))
| ~ halfadder(X) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [X] :
( logic_or(or1(X))
| ~ halfadder(X) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( logic_or(or1(X0))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p70,plain,
logic_or(or1(h1(f))),
inference(resolution,[status(thm)],[p66,c30]) ).
cnf(p81,plain,
( abnormal(or1(h1(f)))
| or_ok(or1(h1(f))) ),
inference(resolution,[status(thm)],[c20,p70]) ).
cnf(f14,axiom,
( one(out1(K))
| ~ one(in2(K))
| ~ or_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_x1_1) ).
fof(f14_nnf,plain,
! [K] :
( one(out1(K))
| ~ one(in2(K))
| ~ or_ok(K) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [K] :
( one(out1(K))
| ~ one(in2(K))
| ~ or_ok(K) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( one(out1(X0))
| ~ one(in2(X0))
| ~ or_ok(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p214,plain,
( one(out1(or1(h1(f))))
| ~ one(in2(or1(h1(f))))
| abnormal(or1(h1(f))) ),
inference(resolution,[status(thm)],[p81,c14]) ).
cnf(f32,axiom,
( connection(in2(X),in2(or1(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in2_in2or1) ).
fof(f32_nnf,plain,
! [X] :
( connection(in2(X),in2(or1(X)))
| ~ halfadder(X) ),
inference(nnf_transformation,[status(thm)],[f32]) ).
fof(f32_sk,plain,
! [X] :
( connection(in2(X),in2(or1(X)))
| ~ halfadder(X) ),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c32,plain,
( connection(in2(X0),in2(or1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(p97,plain,
connection(in2(h1(f)),in2(or1(h1(f)))),
inference(resolution,[status(thm)],[c32,p66]) ).
cnf(p100,plain,
( one(in2(or1(h1(f))))
| ~ one(in2(h1(f))) ),
inference(resolution,[status(thm)],[p97,c1]) ).
cnf(f48,axiom,
( connection(inc(X),in2(h1(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_inc_in2h1) ).
fof(f48_nnf,plain,
! [X] :
( connection(inc(X),in2(h1(X)))
| ~ fulladder(X) ),
inference(nnf_transformation,[status(thm)],[f48]) ).
fof(f48_sk,plain,
! [X] :
( connection(inc(X),in2(h1(X)))
| ~ fulladder(X) ),
inference(skolemisation,[status(esa)],[f48_nnf]) ).
cnf(c48,plain,
( connection(inc(X0),in2(h1(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(esa)],[f48_sk]) ).
cnf(p162,plain,
connection(inc(f),in2(h1(f))),
inference(resolution,[status(thm)],[c48,c51]) ).
cnf(p164,plain,
( one(in2(h1(f)))
| ~ one(inc(f)) ),
inference(resolution,[status(thm)],[p162,c1]) ).
cnf(f54,hypothesis,
one(inc(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inc_1) ).
fof(f54_nnf,plain,
one(inc(f)),
inference(nnf_transformation,[status(thm)],[f54]) ).
cnf(c54,plain,
one(inc(f)),
inference(cnf_transformation,[status(esa)],[f54_nnf]) ).
cnf(p166,plain,
one(in2(h1(f))),
inference(resolution,[status(thm)],[p164,c54]) ).
cnf(p266,plain,
one(in2(or1(h1(f)))),
inference(resolution,[status(thm)],[p100,p166]) ).
cnf(p284,plain,
( one(out1(or1(h1(f))))
| abnormal(or1(h1(f))) ),
inference(resolution,[status(thm)],[p214,p266]) ).
cnf(f37,axiom,
( connection(out1(or1(X)),in1(and1(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1or1_in1_and1) ).
fof(f37_nnf,plain,
! [X] :
( connection(out1(or1(X)),in1(and1(X)))
| ~ halfadder(X) ),
inference(nnf_transformation,[status(thm)],[f37]) ).
fof(f37_sk,plain,
! [X] :
( connection(out1(or1(X)),in1(and1(X)))
| ~ halfadder(X) ),
inference(skolemisation,[status(esa)],[f37_nnf]) ).
cnf(c37,plain,
( connection(out1(or1(X0)),in1(and1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
cnf(p175,plain,
connection(out1(or1(h1(f))),in1(and1(h1(f)))),
inference(resolution,[status(thm)],[c37,p66]) ).
cnf(p240,plain,
( one(in1(and1(h1(f))))
| ~ one(out1(or1(h1(f)))) ),
inference(resolution,[status(thm)],[p175,c1]) ).
cnf(p311,plain,
( one(in1(and1(h1(f))))
| abnormal(or1(h1(f))) ),
inference(resolution,[status(thm)],[p284,p240]) ).
cnf(f27,axiom,
( logic_and(and1(X))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_and1) ).
fof(f27_nnf,plain,
! [X] :
( logic_and(and1(X))
| ~ halfadder(X) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X] :
( logic_and(and1(X))
| ~ halfadder(X) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
( logic_and(and1(X0))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p67,plain,
logic_and(and1(h1(f))),
inference(resolution,[status(thm)],[p66,c27]) ).
cnf(p77,plain,
( abnormal(and1(h1(f)))
| and_ok(and1(h1(f))) ),
inference(resolution,[status(thm)],[c12,p67]) ).
cnf(f63,negated_conjecture,
~ abnormal(and1(h1(f))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and1h1) ).
fof(f63_nnf,plain,
~ abnormal(and1(h1(f))),
inference(nnf_transformation,[status(thm)],[f63]) ).
fof(f63_sk,plain,
~ abnormal(and1(h1(f))),
inference(skolemisation,[status(esa)],[f63_nnf]) ).
cnf(c63,plain,
~ abnormal(and1(h1(f))),
inference(cnf_transformation,[status(esa)],[f63_sk]) ).
cnf(p179,plain,
and_ok(and1(h1(f))),
inference(resolution,[status(thm)],[p77,c63]) ).
cnf(f7,axiom,
( one(out1(K))
| ~ one(in2(K))
| ~ one(in1(K))
| ~ and_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_11_1) ).
fof(f7_nnf,plain,
! [K] :
( one(out1(K))
| ~ one(in2(K))
| ~ one(in1(K))
| ~ and_ok(K) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [K] :
( one(out1(K))
| ~ one(in2(K))
| ~ one(in1(K))
| ~ and_ok(K) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( one(out1(X0))
| ~ one(in2(X0))
| ~ one(in1(X0))
| ~ and_ok(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p184,plain,
( one(out1(and1(h1(f))))
| ~ one(in2(and1(h1(f))))
| ~ one(in1(and1(h1(f)))) ),
inference(resolution,[status(thm)],[p179,c7]) ).
cnf(p312,plain,
( one(out1(and1(h1(f))))
| ~ one(in2(and1(h1(f))))
| abnormal(or1(h1(f))) ),
inference(resolution,[status(thm)],[p311,p184]) ).
cnf(p322,plain,
( one(out1(and1(h1(f))))
| abnormal(or1(h1(f)))
| abnormal(not1(h1(f))) ),
inference(resolution,[status(thm)],[p320,p312]) ).
cnf(f35,axiom,
( connection(outs(X),out1(and1(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_outs_out1and1) ).
fof(f35_nnf,plain,
! [X] :
( connection(outs(X),out1(and1(X)))
| ~ halfadder(X) ),
inference(nnf_transformation,[status(thm)],[f35]) ).
fof(f35_sk,plain,
! [X] :
( connection(outs(X),out1(and1(X)))
| ~ halfadder(X) ),
inference(skolemisation,[status(esa)],[f35_nnf]) ).
cnf(c35,plain,
( connection(outs(X0),out1(and1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(esa)],[f35_sk]) ).
cnf(p129,plain,
connection(outs(h1(f)),out1(and1(h1(f)))),
inference(resolution,[status(thm)],[c35,p66]) ).
cnf(f3,axiom,
( one(P1)
| ~ one(P2)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation_one2) ).
fof(f3_nnf,plain,
! [P1,P2] :
( one(P1)
| ~ one(P2)
| ~ connection(P1,P2) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [P1,P2] :
( one(P1)
| ~ one(P2)
| ~ connection(P1,P2) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( one(X0)
| ~ one(X1)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p134,plain,
( one(outs(h1(f)))
| ~ one(out1(and1(h1(f)))) ),
inference(resolution,[status(thm)],[p129,c3]) ).
cnf(p339,plain,
( one(outs(h1(f)))
| abnormal(or1(h1(f)))
| abnormal(not1(h1(f))) ),
inference(resolution,[status(thm)],[p322,p134]) ).
cnf(f60,negated_conjecture,
~ abnormal(or1(h1(f))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1h1) ).
fof(f60_nnf,plain,
~ abnormal(or1(h1(f))),
inference(nnf_transformation,[status(thm)],[f60]) ).
fof(f60_sk,plain,
~ abnormal(or1(h1(f))),
inference(skolemisation,[status(esa)],[f60_nnf]) ).
cnf(c60,plain,
~ abnormal(or1(h1(f))),
inference(cnf_transformation,[status(esa)],[f60_sk]) ).
cnf(p340,plain,
( one(outs(h1(f)))
| abnormal(not1(h1(f))) ),
inference(resolution,[status(thm)],[p339,c60]) ).
cnf(f61,negated_conjecture,
~ abnormal(not1(h1(f))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_not1h1) ).
fof(f61_nnf,plain,
~ abnormal(not1(h1(f))),
inference(nnf_transformation,[status(thm)],[f61]) ).
fof(f61_sk,plain,
~ abnormal(not1(h1(f))),
inference(skolemisation,[status(esa)],[f61_nnf]) ).
cnf(c61,plain,
~ abnormal(not1(h1(f))),
inference(cnf_transformation,[status(esa)],[f61_sk]) ).
cnf(p341,plain,
one(outs(h1(f))),
inference(resolution,[status(thm)],[p340,c61]) ).
cnf(f43,axiom,
( connection(outs(h1(X)),in2(h2(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outsh1_in2h2) ).
fof(f43_nnf,plain,
! [X] :
( connection(outs(h1(X)),in2(h2(X)))
| ~ fulladder(X) ),
inference(nnf_transformation,[status(thm)],[f43]) ).
fof(f43_sk,plain,
! [X] :
( connection(outs(h1(X)),in2(h2(X)))
| ~ fulladder(X) ),
inference(skolemisation,[status(esa)],[f43_nnf]) ).
cnf(c43,plain,
( connection(outs(h1(X0)),in2(h2(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(p191,plain,
connection(outs(h1(f)),in2(h2(f))),
inference(resolution,[status(thm)],[c43,c51]) ).
cnf(p200,plain,
( one(in2(h2(f)))
| ~ one(outs(h1(f))) ),
inference(resolution,[status(thm)],[p191,c1]) ).
cnf(p342,plain,
one(in2(h2(f))),
inference(resolution,[status(thm)],[p341,p200]) ).
cnf(f34,axiom,
( connection(in2(X),in2(and2(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in2_in2and2) ).
fof(f34_nnf,plain,
! [X] :
( connection(in2(X),in2(and2(X)))
| ~ halfadder(X) ),
inference(nnf_transformation,[status(thm)],[f34]) ).
fof(f34_sk,plain,
! [X] :
( connection(in2(X),in2(and2(X)))
| ~ halfadder(X) ),
inference(skolemisation,[status(esa)],[f34_nnf]) ).
cnf(c34,plain,
( connection(in2(X0),in2(and2(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(esa)],[f34_sk]) ).
cnf(f41,axiom,
( halfadder(h2(X))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_halfadder2) ).
fof(f41_nnf,plain,
! [X] :
( halfadder(h2(X))
| ~ fulladder(X) ),
inference(nnf_transformation,[status(thm)],[f41]) ).
fof(f41_sk,plain,
! [X] :
( halfadder(h2(X))
| ~ fulladder(X) ),
inference(skolemisation,[status(esa)],[f41_nnf]) ).
cnf(c41,plain,
( halfadder(h2(X0))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(esa)],[f41_sk]) ).
cnf(p71,plain,
halfadder(h2(f)),
inference(resolution,[status(thm)],[c41,c51]) ).
cnf(p119,plain,
connection(in2(h2(f)),in2(and2(h2(f)))),
inference(resolution,[status(thm)],[c34,p71]) ).
cnf(p126,plain,
( one(in2(and2(h2(f))))
| ~ one(in2(h2(f))) ),
inference(resolution,[status(thm)],[p119,c1]) ).
cnf(p345,plain,
one(in2(and2(h2(f)))),
inference(resolution,[status(thm)],[p342,p126]) ).
cnf(p108,plain,
connection(in1(h2(f)),in1(and2(h2(f)))),
inference(resolution,[status(thm)],[c33,p71]) ).
cnf(p115,plain,
( one(in1(and2(h2(f))))
| ~ one(in1(h2(f))) ),
inference(resolution,[status(thm)],[p108,c1]) ).
cnf(f46,axiom,
( connection(in1(X),in1(h2(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_in1_in1h2) ).
fof(f46_nnf,plain,
! [X] :
( connection(in1(X),in1(h2(X)))
| ~ fulladder(X) ),
inference(nnf_transformation,[status(thm)],[f46]) ).
fof(f46_sk,plain,
! [X] :
( connection(in1(X),in1(h2(X)))
| ~ fulladder(X) ),
inference(skolemisation,[status(esa)],[f46_nnf]) ).
cnf(c46,plain,
( connection(in1(X0),in1(h2(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(esa)],[f46_sk]) ).
cnf(p150,plain,
connection(in1(f),in1(h2(f))),
inference(resolution,[status(thm)],[c46,c51]) ).
cnf(p153,plain,
( one(in1(h2(f)))
| ~ one(in1(f)) ),
inference(resolution,[status(thm)],[p150,c1]) ).
cnf(f52,hypothesis,
one(in1(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in1_1) ).
fof(f52_nnf,plain,
one(in1(f)),
inference(nnf_transformation,[status(thm)],[f52]) ).
cnf(c52,plain,
one(in1(f)),
inference(cnf_transformation,[status(esa)],[f52_nnf]) ).
cnf(p155,plain,
one(in1(h2(f))),
inference(resolution,[status(thm)],[p153,c52]) ).
cnf(p271,plain,
one(in1(and2(h2(f)))),
inference(resolution,[status(thm)],[p115,p155]) ).
cnf(p73,plain,
logic_and(and2(h2(f))),
inference(resolution,[status(thm)],[p71,c28]) ).
cnf(p80,plain,
( abnormal(and2(h2(f)))
| and_ok(and2(h2(f))) ),
inference(resolution,[status(thm)],[c12,p73]) ).
cnf(f58,negated_conjecture,
~ abnormal(and2(h2(f))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2) ).
fof(f58_nnf,plain,
~ abnormal(and2(h2(f))),
inference(nnf_transformation,[status(thm)],[f58]) ).
fof(f58_sk,plain,
~ abnormal(and2(h2(f))),
inference(skolemisation,[status(esa)],[f58_nnf]) ).
cnf(c58,plain,
~ abnormal(and2(h2(f))),
inference(cnf_transformation,[status(esa)],[f58_sk]) ).
cnf(p212,plain,
and_ok(and2(h2(f))),
inference(resolution,[status(thm)],[p80,c58]) ).
cnf(p221,plain,
( one(out1(and2(h2(f))))
| ~ one(in2(and2(h2(f))))
| ~ one(in1(and2(h2(f)))) ),
inference(resolution,[status(thm)],[p212,c7]) ).
cnf(p272,plain,
( one(out1(and2(h2(f))))
| ~ one(in2(and2(h2(f)))) ),
inference(resolution,[status(thm)],[p271,p221]) ).
cnf(p348,plain,
one(out1(and2(h2(f)))),
inference(resolution,[status(thm)],[p345,p272]) ).
cnf(p181,plain,
connection(out1(and2(h2(f))),in1(not1(h2(f)))),
inference(resolution,[status(thm)],[c38,p71]) ).
cnf(p252,plain,
( one(in1(not1(h2(f))))
| ~ one(out1(and2(h2(f)))) ),
inference(resolution,[status(thm)],[p181,c1]) ).
cnf(p352,plain,
one(in1(not1(h2(f)))),
inference(resolution,[status(thm)],[p348,p252]) ).
cnf(p74,plain,
logic_not(not1(h2(f))),
inference(resolution,[status(thm)],[p71,c29]) ).
cnf(p85,plain,
( abnormal(not1(h2(f)))
| not_ok(not1(h2(f))) ),
inference(resolution,[status(thm)],[c26,p74]) ).
cnf(f22,axiom,
( zero(out1(K))
| ~ one(in1(K))
| ~ not_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_1_0_fw) ).
fof(f22_nnf,plain,
! [K] :
( zero(out1(K))
| ~ one(in1(K))
| ~ not_ok(K) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [K] :
( zero(out1(K))
| ~ one(in1(K))
| ~ not_ok(K) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( zero(out1(X0))
| ~ one(in1(X0))
| ~ not_ok(X0) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p236,plain,
( zero(out1(not1(h2(f))))
| ~ one(in1(not1(h2(f))))
| abnormal(not1(h2(f))) ),
inference(resolution,[status(thm)],[p85,c22]) ).
cnf(p355,plain,
( zero(out1(not1(h2(f))))
| abnormal(not1(h2(f))) ),
inference(resolution,[status(thm)],[p352,p236]) ).
cnf(f4,axiom,
( ~ one(P)
| ~ zero(P) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_value) ).
fof(f4_nnf,plain,
! [P] :
( ~ one(P)
| ~ zero(P) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [P] :
( ~ one(P)
| ~ zero(P) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ~ one(X0)
| ~ zero(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p357,plain,
( ~ one(out1(not1(h2(f))))
| abnormal(not1(h2(f))) ),
inference(resolution,[status(thm)],[p355,c4]) ).
cnf(p189,plain,
connection(out1(not1(h2(f))),in2(and1(h2(f)))),
inference(resolution,[status(thm)],[c39,p71]) ).
cnf(p264,plain,
( one(out1(not1(h2(f))))
| ~ one(in2(and1(h2(f)))) ),
inference(resolution,[status(thm)],[p189,c3]) ).
cnf(f17,axiom,
( zero(in1(K))
| ~ zero(out1(K))
| ~ or_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_0_0x) ).
fof(f17_nnf,plain,
! [K] :
( zero(in1(K))
| ~ zero(out1(K))
| ~ or_ok(K) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [K] :
( zero(in1(K))
| ~ zero(out1(K))
| ~ or_ok(K) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( zero(in1(X0))
| ~ zero(out1(X0))
| ~ or_ok(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(f42,axiom,
( logic_or(or1(X))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_or1) ).
fof(f42_nnf,plain,
! [X] :
( logic_or(or1(X))
| ~ fulladder(X) ),
inference(nnf_transformation,[status(thm)],[f42]) ).
fof(f42_sk,plain,
! [X] :
( logic_or(or1(X))
| ~ fulladder(X) ),
inference(skolemisation,[status(esa)],[f42_nnf]) ).
cnf(c42,plain,
( logic_or(or1(X0))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(esa)],[f42_sk]) ).
cnf(p76,plain,
logic_or(or1(f)),
inference(resolution,[status(thm)],[c42,c51]) ).
cnf(p83,plain,
( abnormal(or1(f))
| or_ok(or1(f)) ),
inference(resolution,[status(thm)],[c20,p76]) ).
cnf(p151,plain,
( abnormal(or1(f))
| zero(in1(or1(f)))
| ~ zero(out1(or1(f))) ),
inference(resolution,[status(thm)],[c17,p83]) ).
cnf(f50,axiom,
( connection(outc(X),out1(or1(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outc_out1or1) ).
fof(f50_nnf,plain,
! [X] :
( connection(outc(X),out1(or1(X)))
| ~ fulladder(X) ),
inference(nnf_transformation,[status(thm)],[f50]) ).
fof(f50_sk,plain,
! [X] :
( connection(outc(X),out1(or1(X)))
| ~ fulladder(X) ),
inference(skolemisation,[status(esa)],[f50_nnf]) ).
cnf(c50,plain,
( connection(outc(X0),out1(or1(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(esa)],[f50_sk]) ).
cnf(p172,plain,
connection(outc(f),out1(or1(f))),
inference(resolution,[status(thm)],[c50,c51]) ).
cnf(p173,plain,
( zero(out1(or1(f)))
| ~ zero(outc(f)) ),
inference(resolution,[status(thm)],[p172,c0]) ).
cnf(f56,hypothesis,
zero(outc(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_0) ).
fof(f56_nnf,plain,
zero(outc(f)),
inference(nnf_transformation,[status(thm)],[f56]) ).
cnf(c56,plain,
zero(outc(f)),
inference(cnf_transformation,[status(esa)],[f56_nnf]) ).
cnf(p177,plain,
zero(out1(or1(f))),
inference(resolution,[status(thm)],[p173,c56]) ).
cnf(p279,plain,
( abnormal(or1(f))
| zero(in1(or1(f))) ),
inference(resolution,[status(thm)],[p151,p177]) ).
cnf(f45,axiom,
( connection(outc(h2(X)),in1(or1(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outch2_in1or1) ).
fof(f45_nnf,plain,
! [X] :
( connection(outc(h2(X)),in1(or1(X)))
| ~ fulladder(X) ),
inference(nnf_transformation,[status(thm)],[f45]) ).
fof(f45_sk,plain,
! [X] :
( connection(outc(h2(X)),in1(or1(X)))
| ~ fulladder(X) ),
inference(skolemisation,[status(esa)],[f45_nnf]) ).
cnf(c45,plain,
( connection(outc(h2(X0)),in1(or1(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(esa)],[f45_sk]) ).
cnf(p203,plain,
connection(outc(h2(f)),in1(or1(f))),
inference(resolution,[status(thm)],[c45,c51]) ).
cnf(f2,axiom,
( zero(P1)
| ~ zero(P2)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation_zero2) ).
fof(f2_nnf,plain,
! [P1,P2] :
( zero(P1)
| ~ zero(P2)
| ~ connection(P1,P2) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [P1,P2] :
( zero(P1)
| ~ zero(P2)
| ~ connection(P1,P2) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( zero(X0)
| ~ zero(X1)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p210,plain,
( zero(outc(h2(f)))
| ~ zero(in1(or1(f))) ),
inference(resolution,[status(thm)],[p203,c2]) ).
cnf(p281,plain,
( zero(outc(h2(f)))
| abnormal(or1(f)) ),
inference(resolution,[status(thm)],[p279,p210]) ).
cnf(f36,axiom,
( connection(outc(X),out1(and2(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_outc_out1and2) ).
fof(f36_nnf,plain,
! [X] :
( connection(outc(X),out1(and2(X)))
| ~ halfadder(X) ),
inference(nnf_transformation,[status(thm)],[f36]) ).
fof(f36_sk,plain,
! [X] :
( connection(outc(X),out1(and2(X)))
| ~ halfadder(X) ),
inference(skolemisation,[status(esa)],[f36_nnf]) ).
cnf(c36,plain,
( connection(outc(X0),out1(and2(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(esa)],[f36_sk]) ).
cnf(p141,plain,
connection(outc(h2(f)),out1(and2(h2(f)))),
inference(resolution,[status(thm)],[c36,p71]) ).
cnf(p146,plain,
( zero(out1(and2(h2(f))))
| ~ zero(outc(h2(f))) ),
inference(resolution,[status(thm)],[p141,c0]) ).
cnf(p283,plain,
( zero(out1(and2(h2(f))))
| abnormal(or1(f)) ),
inference(resolution,[status(thm)],[p281,p146]) ).
cnf(f8,axiom,
( zero(in2(K))
| zero(in1(K))
| ~ zero(out1(K))
| ~ and_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_0_00) ).
fof(f8_nnf,plain,
! [K] :
( zero(in2(K))
| zero(in1(K))
| ~ zero(out1(K))
| ~ and_ok(K) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [K] :
( zero(in2(K))
| zero(in1(K))
| ~ zero(out1(K))
| ~ and_ok(K) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( zero(in2(X0))
| zero(in1(X0))
| ~ zero(out1(X0))
| ~ and_ok(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p222,plain,
( zero(in2(and2(h2(f))))
| zero(in1(and2(h2(f))))
| ~ zero(out1(and2(h2(f)))) ),
inference(resolution,[status(thm)],[p212,c8]) ).
cnf(p286,plain,
( zero(in2(and2(h2(f))))
| zero(in1(and2(h2(f))))
| abnormal(or1(f)) ),
inference(resolution,[status(thm)],[p283,p222]) ).
cnf(p127,plain,
( zero(in2(h2(f)))
| ~ zero(in2(and2(h2(f)))) ),
inference(resolution,[status(thm)],[p119,c2]) ).
cnf(p288,plain,
( zero(in2(h2(f)))
| zero(in1(and2(h2(f))))
| abnormal(or1(f)) ),
inference(resolution,[status(thm)],[p286,p127]) ).
cnf(p289,plain,
( ~ one(in1(and2(h2(f))))
| zero(in2(h2(f)))
| abnormal(or1(f)) ),
inference(resolution,[status(thm)],[p288,c4]) ).
cnf(p298,plain,
( zero(in2(h2(f)))
| abnormal(or1(f)) ),
inference(resolution,[status(thm)],[p289,p271]) ).
cnf(p201,plain,
( zero(outs(h1(f)))
| ~ zero(in2(h2(f))) ),
inference(resolution,[status(thm)],[p191,c2]) ).
cnf(p300,plain,
( zero(outs(h1(f)))
| abnormal(or1(f)) ),
inference(resolution,[status(thm)],[p298,p201]) ).
cnf(p131,plain,
( zero(out1(and1(h1(f))))
| ~ zero(outs(h1(f))) ),
inference(resolution,[status(thm)],[p129,c0]) ).
cnf(p304,plain,
( zero(out1(and1(h1(f))))
| abnormal(or1(f)) ),
inference(resolution,[status(thm)],[p300,p131]) ).
cnf(p185,plain,
( zero(in2(and1(h1(f))))
| zero(in1(and1(h1(f))))
| ~ zero(out1(and1(h1(f)))) ),
inference(resolution,[status(thm)],[p179,c8]) ).
cnf(p309,plain,
( zero(in2(and1(h1(f))))
| zero(in1(and1(h1(f))))
| abnormal(or1(f)) ),
inference(resolution,[status(thm)],[p304,p185]) ).
cnf(p310,plain,
( ~ one(in2(and1(h1(f))))
| zero(in1(and1(h1(f))))
| abnormal(or1(f)) ),
inference(resolution,[status(thm)],[p309,c4]) ).
cnf(p321,plain,
( zero(in1(and1(h1(f))))
| abnormal(or1(f))
| abnormal(not1(h1(f))) ),
inference(resolution,[status(thm)],[p320,p310]) ).
cnf(p323,plain,
( ~ one(in1(and1(h1(f))))
| abnormal(or1(f))
| abnormal(not1(h1(f))) ),
inference(resolution,[status(thm)],[p321,c4]) ).
cnf(p325,plain,
( abnormal(or1(h1(f)))
| abnormal(or1(f))
| abnormal(not1(h1(f))) ),
inference(resolution,[status(thm)],[p323,p311]) ).
cnf(p326,plain,
( abnormal(or1(f))
| abnormal(not1(h1(f))) ),
inference(resolution,[status(thm)],[p325,c60]) ).
cnf(p327,plain,
abnormal(or1(f)),
inference(resolution,[status(thm)],[p326,c61]) ).
cnf(f59,negated_conjecture,
( ~ abnormal(and1(h2(f)))
| ~ abnormal(or1(f)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_and1h2) ).
fof(f59_nnf,plain,
( ~ abnormal(and1(h2(f)))
| ~ abnormal(or1(f)) ),
inference(nnf_transformation,[status(thm)],[f59]) ).
fof(f59_sk,plain,
( ~ abnormal(and1(h2(f)))
| ~ abnormal(or1(f)) ),
inference(skolemisation,[status(esa)],[f59_nnf]) ).
cnf(c59,plain,
( ~ abnormal(and1(h2(f)))
| ~ abnormal(or1(f)) ),
inference(cnf_transformation,[status(esa)],[f59_sk]) ).
cnf(p328,plain,
~ abnormal(and1(h2(f))),
inference(resolution,[status(thm)],[p327,c59]) ).
cnf(p72,plain,
logic_and(and1(h2(f))),
inference(resolution,[status(thm)],[p71,c27]) ).
cnf(p79,plain,
( abnormal(and1(h2(f)))
| and_ok(and1(h2(f))) ),
inference(resolution,[status(thm)],[c12,p72]) ).
cnf(p330,plain,
and_ok(and1(h2(f))),
inference(resolution,[status(thm)],[p328,p79]) ).
cnf(f10,axiom,
( one(in2(K))
| ~ one(out1(K))
| ~ and_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_1_x1) ).
fof(f10_nnf,plain,
! [K] :
( one(in2(K))
| ~ one(out1(K))
| ~ and_ok(K) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [K] :
( one(in2(K))
| ~ one(out1(K))
| ~ and_ok(K) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( one(in2(X0))
| ~ one(out1(X0))
| ~ and_ok(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p335,plain,
( one(in2(and1(h2(f))))
| ~ one(out1(and1(h2(f)))) ),
inference(resolution,[status(thm)],[p330,c10]) ).
cnf(p130,plain,
connection(outs(h2(f)),out1(and1(h2(f)))),
inference(resolution,[status(thm)],[c35,p71]) ).
cnf(p136,plain,
( one(out1(and1(h2(f))))
| ~ one(outs(h2(f))) ),
inference(resolution,[status(thm)],[p130,c1]) ).
cnf(f49,axiom,
( connection(outs(X),outs(h2(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outs_outsh2) ).
fof(f49_nnf,plain,
! [X] :
( connection(outs(X),outs(h2(X)))
| ~ fulladder(X) ),
inference(nnf_transformation,[status(thm)],[f49]) ).
fof(f49_sk,plain,
! [X] :
( connection(outs(X),outs(h2(X)))
| ~ fulladder(X) ),
inference(skolemisation,[status(esa)],[f49_nnf]) ).
cnf(c49,plain,
( connection(outs(X0),outs(h2(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(esa)],[f49_sk]) ).
cnf(p167,plain,
connection(outs(f),outs(h2(f))),
inference(resolution,[status(thm)],[c49,c51]) ).
cnf(p169,plain,
( one(outs(h2(f)))
| ~ one(outs(f)) ),
inference(resolution,[status(thm)],[p167,c1]) ).
cnf(f55,hypothesis,
one(outs(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outs_1) ).
fof(f55_nnf,plain,
one(outs(f)),
inference(nnf_transformation,[status(thm)],[f55]) ).
cnf(c55,plain,
one(outs(f)),
inference(cnf_transformation,[status(esa)],[f55_nnf]) ).
cnf(p171,plain,
one(outs(h2(f))),
inference(resolution,[status(thm)],[p169,c55]) ).
cnf(p274,plain,
one(out1(and1(h2(f)))),
inference(resolution,[status(thm)],[p136,p171]) ).
cnf(p338,plain,
one(in2(and1(h2(f)))),
inference(resolution,[status(thm)],[p335,p274]) ).
cnf(p354,plain,
one(out1(not1(h2(f)))),
inference(resolution,[status(thm)],[p264,p338]) ).
cnf(p361,plain,
abnormal(not1(h2(f))),
inference(resolution,[status(thm)],[p357,p354]) ).
cnf(f57,negated_conjecture,
( ~ abnormal(not1(h2(f)))
| ~ abnormal(or1(f)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_not1h2) ).
fof(f57_nnf,plain,
( ~ abnormal(not1(h2(f)))
| ~ abnormal(or1(f)) ),
inference(nnf_transformation,[status(thm)],[f57]) ).
fof(f57_sk,plain,
( ~ abnormal(not1(h2(f)))
| ~ abnormal(or1(f)) ),
inference(skolemisation,[status(esa)],[f57_nnf]) ).
cnf(c57,plain,
( ~ abnormal(not1(h2(f)))
| ~ abnormal(or1(f)) ),
inference(cnf_transformation,[status(esa)],[f57_sk]) ).
cnf(p329,plain,
~ abnormal(not1(h2(f))),
inference(resolution,[status(thm)],[p327,c57]) ).
cnf(p362,plain,
$false,
inference(resolution,[status(thm)],[p361,p329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV006-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/15.39 % Computer : n018.cluster.edu
% 0.10/15.39 % Model : x86_64 x86_64
% 0.10/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.39 % Memory : 8046.5625MB
% 0.10/15.39 % OS : Linux 6.8.0-71-generic
% 0.10/15.39 % CPULimit : 300
% 0.10/15.39 % WCLimit : 300
% 0.10/15.39 % DateTime : Wed Sep 23 16:23:04 UTC 2026
% 0.10/15.39 % CPUTime :
% 0.10/15.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.21/16.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.21/16.19 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------