%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV008-2.002 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 01:37:38 PM UTC 2026
% Result : Unsatisfiable 4.70s 1.11s
% Output : Proof 4.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 29
% Syntax : Number of formulae : 169 ( 60 unt; 0 def)
% Number of atoms : 309 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 282 ( 142 ~; 140 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-1 aty)
% Number of variables : 96 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f36,axiom,
( connection(outc(X),out1(and2(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox/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(f52,axiom,
( fulladder(f2(X))
| ~ nbit_adder2(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_fulladder2) ).
fof(f52_nnf,plain,
! [X] :
( fulladder(f2(X))
| ~ nbit_adder2(X) ),
inference(nnf_transformation,[status(thm)],[f52]) ).
fof(f52_sk,plain,
! [X] :
( fulladder(f2(X))
| ~ nbit_adder2(X) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c52,plain,
( fulladder(f2(X0))
| ~ nbit_adder2(X0) ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(f62,hypothesis,
nbit_adder2(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_isa_2bit_adder) ).
fof(f62_nnf,plain,
nbit_adder2(a),
inference(nnf_transformation,[status(thm)],[f62]) ).
cnf(c62,plain,
nbit_adder2(a),
inference(cnf_transformation,[status(esa)],[f62_nnf]) ).
cnf(p93,plain,
fulladder(f2(a)),
inference(resolution,[status(thm)],[c52,c62]) ).
cnf(f41,axiom,
( halfadder(h2(X))
| ~ fulladder(X) ),
file('/export/starexec/sandbox/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(p99,plain,
halfadder(h2(f2(a))),
inference(resolution,[status(thm)],[p93,c41]) ).
cnf(p146,plain,
connection(outc(h2(f2(a))),out1(and2(h2(f2(a))))),
inference(resolution,[status(thm)],[c36,p99]) ).
cnf(f2,axiom,
( zero(P1)
| ~ zero(P2)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox/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(p432,plain,
( zero(outc(h2(f2(a))))
| ~ zero(out1(and2(h2(f2(a))))) ),
inference(resolution,[status(thm)],[p146,c2]) ).
cnf(f33,axiom,
( connection(in1(X),in1(and2(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox/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(p134,plain,
connection(in1(h2(f2(a))),in1(and2(h2(f2(a))))),
inference(resolution,[status(thm)],[c33,p99]) ).
cnf(f0,axiom,
( zero(P2)
| ~ zero(P1)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox/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(p366,plain,
( zero(in1(and2(h2(f2(a)))))
| ~ zero(in1(h2(f2(a)))) ),
inference(resolution,[status(thm)],[p134,c0]) ).
cnf(f46,axiom,
( connection(in1(X),in1(h2(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox/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(p148,plain,
connection(in1(f2(a)),in1(h2(f2(a)))),
inference(resolution,[status(thm)],[c46,p93]) ).
cnf(p153,plain,
( zero(in1(h2(f2(a))))
| ~ zero(in1(f2(a))) ),
inference(resolution,[status(thm)],[p148,c0]) ).
cnf(f58,axiom,
( connection(ina2(X),in1(f2(X)))
| ~ nbit_adder2(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_ina2_in1f2) ).
fof(f58_nnf,plain,
! [X] :
( connection(ina2(X),in1(f2(X)))
| ~ nbit_adder2(X) ),
inference(nnf_transformation,[status(thm)],[f58]) ).
fof(f58_sk,plain,
! [X] :
( connection(ina2(X),in1(f2(X)))
| ~ nbit_adder2(X) ),
inference(skolemisation,[status(esa)],[f58_nnf]) ).
cnf(c58,plain,
( connection(ina2(X0),in1(f2(X0)))
| ~ nbit_adder2(X0) ),
inference(cnf_transformation,[status(esa)],[f58_sk]) ).
cnf(p238,plain,
connection(ina2(a),in1(f2(a))),
inference(resolution,[status(thm)],[c58,c62]) ).
cnf(p239,plain,
( zero(in1(f2(a)))
| ~ zero(ina2(a)) ),
inference(resolution,[status(thm)],[p238,c0]) ).
cnf(f64,hypothesis,
zero(ina2(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ina2_0) ).
fof(f64_nnf,plain,
zero(ina2(a)),
inference(nnf_transformation,[status(thm)],[f64]) ).
cnf(c64,plain,
zero(ina2(a)),
inference(cnf_transformation,[status(esa)],[f64_nnf]) ).
cnf(p241,plain,
zero(in1(f2(a))),
inference(resolution,[status(thm)],[p239,c64]) ).
cnf(p440,plain,
zero(in1(h2(f2(a)))),
inference(resolution,[status(thm)],[p153,p241]) ).
cnf(p525,plain,
zero(in1(and2(h2(f2(a))))),
inference(resolution,[status(thm)],[p366,p440]) ).
cnf(f28,axiom,
( logic_and(and2(X))
| ~ halfadder(X) ),
file('/export/starexec/sandbox/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(p106,plain,
logic_and(and2(h2(f2(a)))),
inference(resolution,[status(thm)],[p99,c28]) ).
cnf(f12,axiom,
( abnormal(K)
| and_ok(K)
| ~ logic_and(K) ),
file('/export/starexec/sandbox/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(p112,plain,
( abnormal(and2(h2(f2(a))))
| and_ok(and2(h2(f2(a)))) ),
inference(resolution,[status(thm)],[p106,c12]) ).
cnf(f73,negated_conjecture,
~ abnormal(and2(h2(f2(a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h2f2a) ).
fof(f73_nnf,plain,
~ abnormal(and2(h2(f2(a)))),
inference(nnf_transformation,[status(thm)],[f73]) ).
fof(f73_sk,plain,
~ abnormal(and2(h2(f2(a)))),
inference(skolemisation,[status(esa)],[f73_nnf]) ).
cnf(c73,plain,
~ abnormal(and2(h2(f2(a)))),
inference(cnf_transformation,[status(esa)],[f73_sk]) ).
cnf(p339,plain,
and_ok(and2(h2(f2(a)))),
inference(resolution,[status(thm)],[p112,c73]) ).
cnf(f5,axiom,
( zero(out1(K))
| ~ zero(in1(K))
| ~ and_ok(K) ),
file('/export/starexec/sandbox/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(p340,plain,
( zero(out1(and2(h2(f2(a)))))
| ~ zero(in1(and2(h2(f2(a))))) ),
inference(resolution,[status(thm)],[p339,c5]) ).
cnf(p527,plain,
zero(out1(and2(h2(f2(a))))),
inference(resolution,[status(thm)],[p525,p340]) ).
cnf(p538,plain,
zero(outc(h2(f2(a)))),
inference(resolution,[status(thm)],[p432,p527]) ).
cnf(f45,axiom,
( connection(outc(h2(X)),in1(or1(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox/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(p243,plain,
connection(outc(h2(f2(a))),in1(or1(f2(a)))),
inference(resolution,[status(thm)],[c45,p93]) ).
cnf(p292,plain,
( zero(in1(or1(f2(a))))
| ~ zero(outc(h2(f2(a)))) ),
inference(resolution,[status(thm)],[p243,c0]) ).
cnf(p540,plain,
zero(in1(or1(f2(a)))),
inference(resolution,[status(thm)],[p538,p292]) ).
cnf(f20,axiom,
( abnormal(K)
| or_ok(K)
| ~ logic_or(K) ),
file('/export/starexec/sandbox/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(f42,axiom,
( logic_or(or1(X))
| ~ fulladder(X) ),
file('/export/starexec/sandbox/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(p100,plain,
logic_or(or1(f2(a))),
inference(resolution,[status(thm)],[p93,c42]) ).
cnf(p116,plain,
( abnormal(or1(f2(a)))
| or_ok(or1(f2(a))) ),
inference(resolution,[status(thm)],[c20,p100]) ).
cnf(f15,axiom,
( zero(out1(K))
| ~ zero(in2(K))
| ~ zero(in1(K))
| ~ or_ok(K) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_00_0) ).
fof(f15_nnf,plain,
! [K] :
( zero(out1(K))
| ~ zero(in2(K))
| ~ zero(in1(K))
| ~ or_ok(K) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [K] :
( zero(out1(K))
| ~ zero(in2(K))
| ~ zero(in1(K))
| ~ or_ok(K) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( zero(out1(X0))
| ~ zero(in2(X0))
| ~ zero(in1(X0))
| ~ or_ok(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p268,plain,
( zero(out1(or1(f2(a))))
| ~ zero(in2(or1(f2(a))))
| ~ zero(in1(or1(f2(a))))
| abnormal(or1(f2(a))) ),
inference(resolution,[status(thm)],[p116,c15]) ).
cnf(p542,plain,
( zero(out1(or1(f2(a))))
| ~ zero(in2(or1(f2(a))))
| abnormal(or1(f2(a))) ),
inference(resolution,[status(thm)],[p540,p268]) ).
cnf(f40,axiom,
( halfadder(h1(X))
| ~ fulladder(X) ),
file('/export/starexec/sandbox/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(p98,plain,
halfadder(h1(f2(a))),
inference(resolution,[status(thm)],[p93,c40]) ).
cnf(p145,plain,
connection(outc(h1(f2(a))),out1(and2(h1(f2(a))))),
inference(resolution,[status(thm)],[c36,p98]) ).
cnf(p428,plain,
( zero(outc(h1(f2(a))))
| ~ zero(out1(and2(h1(f2(a))))) ),
inference(resolution,[status(thm)],[p145,c2]) ).
cnf(p133,plain,
connection(in1(h1(f2(a))),in1(and2(h1(f2(a))))),
inference(resolution,[status(thm)],[c33,p98]) ).
cnf(p362,plain,
( zero(in1(and2(h1(f2(a)))))
| ~ zero(in1(h1(f2(a)))) ),
inference(resolution,[status(thm)],[p133,c0]) ).
cnf(f47,axiom,
( connection(in2(X),in1(h1(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox/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(p158,plain,
connection(in2(f2(a)),in1(h1(f2(a)))),
inference(resolution,[status(thm)],[c47,p93]) ).
cnf(p163,plain,
( zero(in1(h1(f2(a))))
| ~ zero(in2(f2(a))) ),
inference(resolution,[status(thm)],[p158,c0]) ).
cnf(f59,axiom,
( connection(inb2(X),in2(f2(X)))
| ~ nbit_adder2(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_inb2_in2f2) ).
fof(f59_nnf,plain,
! [X] :
( connection(inb2(X),in2(f2(X)))
| ~ nbit_adder2(X) ),
inference(nnf_transformation,[status(thm)],[f59]) ).
fof(f59_sk,plain,
! [X] :
( connection(inb2(X),in2(f2(X)))
| ~ nbit_adder2(X) ),
inference(skolemisation,[status(esa)],[f59_nnf]) ).
cnf(c59,plain,
( connection(inb2(X0),in2(f2(X0)))
| ~ nbit_adder2(X0) ),
inference(cnf_transformation,[status(esa)],[f59_sk]) ).
cnf(p245,plain,
connection(inb2(a),in2(f2(a))),
inference(resolution,[status(thm)],[c59,c62]) ).
cnf(p246,plain,
( zero(in2(f2(a)))
| ~ zero(inb2(a)) ),
inference(resolution,[status(thm)],[p245,c0]) ).
cnf(f66,hypothesis,
zero(inb2(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inb2_0) ).
fof(f66_nnf,plain,
zero(inb2(a)),
inference(nnf_transformation,[status(thm)],[f66]) ).
cnf(c66,plain,
zero(inb2(a)),
inference(cnf_transformation,[status(esa)],[f66_nnf]) ).
cnf(p253,plain,
zero(in2(f2(a))),
inference(resolution,[status(thm)],[p246,c66]) ).
cnf(p448,plain,
zero(in1(h1(f2(a)))),
inference(resolution,[status(thm)],[p163,p253]) ).
cnf(p521,plain,
zero(in1(and2(h1(f2(a))))),
inference(resolution,[status(thm)],[p362,p448]) ).
cnf(p102,plain,
logic_and(and2(h1(f2(a)))),
inference(resolution,[status(thm)],[p98,c28]) ).
cnf(p110,plain,
( abnormal(and2(h1(f2(a))))
| and_ok(and2(h1(f2(a)))) ),
inference(resolution,[status(thm)],[p102,c12]) ).
cnf(f72,negated_conjecture,
~ abnormal(and2(h1(f2(a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h1f2a) ).
fof(f72_nnf,plain,
~ abnormal(and2(h1(f2(a)))),
inference(nnf_transformation,[status(thm)],[f72]) ).
fof(f72_sk,plain,
~ abnormal(and2(h1(f2(a)))),
inference(skolemisation,[status(esa)],[f72_nnf]) ).
cnf(c72,plain,
~ abnormal(and2(h1(f2(a)))),
inference(cnf_transformation,[status(esa)],[f72_sk]) ).
cnf(p328,plain,
and_ok(and2(h1(f2(a)))),
inference(resolution,[status(thm)],[p110,c72]) ).
cnf(p329,plain,
( zero(out1(and2(h1(f2(a)))))
| ~ zero(in1(and2(h1(f2(a))))) ),
inference(resolution,[status(thm)],[p328,c5]) ).
cnf(p523,plain,
zero(out1(and2(h1(f2(a))))),
inference(resolution,[status(thm)],[p521,p329]) ).
cnf(p534,plain,
zero(outc(h1(f2(a)))),
inference(resolution,[status(thm)],[p428,p523]) ).
cnf(f44,axiom,
( connection(outc(h1(X)),in2(or1(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outch1_in2or1) ).
fof(f44_nnf,plain,
! [X] :
( connection(outc(h1(X)),in2(or1(X)))
| ~ fulladder(X) ),
inference(nnf_transformation,[status(thm)],[f44]) ).
fof(f44_sk,plain,
! [X] :
( connection(outc(h1(X)),in2(or1(X)))
| ~ fulladder(X) ),
inference(skolemisation,[status(esa)],[f44_nnf]) ).
cnf(c44,plain,
( connection(outc(h1(X0)),in2(or1(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(p237,plain,
connection(outc(h1(f2(a))),in2(or1(f2(a)))),
inference(resolution,[status(thm)],[c44,p93]) ).
cnf(p284,plain,
( zero(in2(or1(f2(a))))
| ~ zero(outc(h1(f2(a)))) ),
inference(resolution,[status(thm)],[p237,c0]) ).
cnf(p536,plain,
zero(in2(or1(f2(a)))),
inference(resolution,[status(thm)],[p534,p284]) ).
cnf(p543,plain,
( zero(out1(or1(f2(a))))
| abnormal(or1(f2(a))) ),
inference(resolution,[status(thm)],[p542,p536]) ).
cnf(f50,axiom,
( connection(outc(X),out1(or1(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox/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(p188,plain,
connection(outc(f2(a)),out1(or1(f2(a)))),
inference(resolution,[status(thm)],[c50,p93]) ).
cnf(p195,plain,
( zero(outc(f2(a)))
| ~ zero(out1(or1(f2(a)))) ),
inference(resolution,[status(thm)],[p188,c2]) ).
cnf(p545,plain,
( zero(outc(f2(a)))
| abnormal(or1(f2(a))) ),
inference(resolution,[status(thm)],[p543,p195]) ).
cnf(f71,negated_conjecture,
~ abnormal(or1(f2(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1f2a) ).
fof(f71_nnf,plain,
~ abnormal(or1(f2(a))),
inference(nnf_transformation,[status(thm)],[f71]) ).
fof(f71_sk,plain,
~ abnormal(or1(f2(a))),
inference(skolemisation,[status(esa)],[f71_nnf]) ).
cnf(c71,plain,
~ abnormal(or1(f2(a))),
inference(cnf_transformation,[status(esa)],[f71_sk]) ).
cnf(p546,plain,
zero(outc(f2(a))),
inference(resolution,[status(thm)],[p545,c71]) ).
cnf(f55,axiom,
( connection(outc(X),outc(f2(X)))
| ~ nbit_adder2(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_outc_outcf1) ).
fof(f55_nnf,plain,
! [X] :
( connection(outc(X),outc(f2(X)))
| ~ nbit_adder2(X) ),
inference(nnf_transformation,[status(thm)],[f55]) ).
fof(f55_sk,plain,
! [X] :
( connection(outc(X),outc(f2(X)))
| ~ nbit_adder2(X) ),
inference(skolemisation,[status(esa)],[f55_nnf]) ).
cnf(c55,plain,
( connection(outc(X0),outc(f2(X0)))
| ~ nbit_adder2(X0) ),
inference(cnf_transformation,[status(esa)],[f55_sk]) ).
cnf(p211,plain,
connection(outc(a),outc(f2(a))),
inference(resolution,[status(thm)],[c55,c62]) ).
cnf(p214,plain,
( zero(outc(a))
| ~ zero(outc(f2(a))) ),
inference(resolution,[status(thm)],[p211,c2]) ).
cnf(p548,plain,
zero(outc(a)),
inference(resolution,[status(thm)],[p546,p214]) ).
cnf(f4,axiom,
( ~ one(P)
| ~ zero(P) ),
file('/export/starexec/sandbox/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(p550,plain,
~ one(outc(a)),
inference(resolution,[status(thm)],[p548,c4]) ).
cnf(f70,hypothesis,
one(outc(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_1) ).
fof(f70_nnf,plain,
one(outc(a)),
inference(nnf_transformation,[status(thm)],[f70]) ).
cnf(c70,plain,
one(outc(a)),
inference(cnf_transformation,[status(esa)],[f70_nnf]) ).
cnf(p551,plain,
$false,
inference(resolution,[status(thm)],[p550,c70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV008-2.002 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 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 : Wed Sep 23 16:24:23 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.70/1.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.70/1.11 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------