%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV008-2.001 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n020.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 4.11s 1.08s
% Output : Proof 4.11s
% 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/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(f51,axiom,
( fulladder(f1(X))
| ~ nbit_adder1(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_fulladder1) ).
fof(f51_nnf,plain,
! [X] :
( fulladder(f1(X))
| ~ nbit_adder1(X) ),
inference(nnf_transformation,[status(thm)],[f51]) ).
fof(f51_sk,plain,
! [X] :
( fulladder(f1(X))
| ~ nbit_adder1(X) ),
inference(skolemisation,[status(esa)],[f51_nnf]) ).
cnf(c51,plain,
( fulladder(f1(X0))
| ~ nbit_adder1(X0) ),
inference(cnf_transformation,[status(esa)],[f51_sk]) ).
cnf(f57,hypothesis,
nbit_adder1(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_isa_1bit_adder) ).
fof(f57_nnf,plain,
nbit_adder1(a),
inference(nnf_transformation,[status(thm)],[f57]) ).
cnf(c57,plain,
nbit_adder1(a),
inference(cnf_transformation,[status(esa)],[f57_nnf]) ).
cnf(p70,plain,
fulladder(f1(a)),
inference(resolution,[status(thm)],[c51,c57]) ).
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(p72,plain,
halfadder(h2(f1(a))),
inference(resolution,[status(thm)],[p70,c41]) ).
cnf(p102,plain,
connection(outc(h2(f1(a))),out1(and2(h2(f1(a))))),
inference(resolution,[status(thm)],[c36,p72]) ).
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(p252,plain,
( zero(outc(h2(f1(a))))
| ~ zero(out1(and2(h2(f1(a))))) ),
inference(resolution,[status(thm)],[p102,c2]) ).
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(p96,plain,
connection(in1(h2(f1(a))),in1(and2(h2(f1(a))))),
inference(resolution,[status(thm)],[c33,p72]) ).
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(p200,plain,
( zero(in1(and2(h2(f1(a)))))
| ~ zero(in1(h2(f1(a)))) ),
inference(resolution,[status(thm)],[p96,c0]) ).
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(p103,plain,
connection(in1(f1(a)),in1(h2(f1(a)))),
inference(resolution,[status(thm)],[c46,p70]) ).
cnf(p104,plain,
( zero(in1(h2(f1(a))))
| ~ zero(in1(f1(a))) ),
inference(resolution,[status(thm)],[p103,c0]) ).
cnf(f54,axiom,
( connection(ina1(X),in1(f1(X)))
| ~ nbit_adder1(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_connection_ina1_in1f1) ).
fof(f54_nnf,plain,
! [X] :
( connection(ina1(X),in1(f1(X)))
| ~ nbit_adder1(X) ),
inference(nnf_transformation,[status(thm)],[f54]) ).
fof(f54_sk,plain,
! [X] :
( connection(ina1(X),in1(f1(X)))
| ~ nbit_adder1(X) ),
inference(skolemisation,[status(esa)],[f54_nnf]) ).
cnf(c54,plain,
( connection(ina1(X0),in1(f1(X0)))
| ~ nbit_adder1(X0) ),
inference(cnf_transformation,[status(esa)],[f54_sk]) ).
cnf(p138,plain,
connection(ina1(a),in1(f1(a))),
inference(resolution,[status(thm)],[c54,c57]) ).
cnf(p139,plain,
( zero(in1(f1(a)))
| ~ zero(ina1(a)) ),
inference(resolution,[status(thm)],[p138,c0]) ).
cnf(f58,hypothesis,
zero(ina1(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ina1_0) ).
fof(f58_nnf,plain,
zero(ina1(a)),
inference(nnf_transformation,[status(thm)],[f58]) ).
cnf(c58,plain,
zero(ina1(a)),
inference(cnf_transformation,[status(esa)],[f58_nnf]) ).
cnf(p141,plain,
zero(in1(f1(a))),
inference(resolution,[status(thm)],[p139,c58]) ).
cnf(p258,plain,
zero(in1(h2(f1(a)))),
inference(resolution,[status(thm)],[p104,p141]) ).
cnf(p305,plain,
zero(in1(and2(h2(f1(a))))),
inference(resolution,[status(thm)],[p200,p258]) ).
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(p79,plain,
logic_and(and2(h2(f1(a)))),
inference(resolution,[status(thm)],[p72,c28]) ).
cnf(p85,plain,
( abnormal(and2(h2(f1(a))))
| and_ok(and2(h2(f1(a)))) ),
inference(resolution,[status(thm)],[c12,p79]) ).
cnf(f65,negated_conjecture,
~ abnormal(and2(h2(f1(a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h2f1) ).
fof(f65_nnf,plain,
~ abnormal(and2(h2(f1(a)))),
inference(nnf_transformation,[status(thm)],[f65]) ).
fof(f65_sk,plain,
~ abnormal(and2(h2(f1(a)))),
inference(skolemisation,[status(esa)],[f65_nnf]) ).
cnf(c65,plain,
~ abnormal(and2(h2(f1(a)))),
inference(cnf_transformation,[status(esa)],[f65_sk]) ).
cnf(p215,plain,
and_ok(and2(h2(f1(a)))),
inference(resolution,[status(thm)],[p85,c65]) ).
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(p216,plain,
( zero(out1(and2(h2(f1(a)))))
| ~ zero(in1(and2(h2(f1(a))))) ),
inference(resolution,[status(thm)],[p215,c5]) ).
cnf(p308,plain,
zero(out1(and2(h2(f1(a))))),
inference(resolution,[status(thm)],[p305,p216]) ).
cnf(p320,plain,
zero(outc(h2(f1(a)))),
inference(resolution,[status(thm)],[p252,p308]) ).
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(p171,plain,
connection(outc(h2(f1(a))),in1(or1(f1(a)))),
inference(resolution,[status(thm)],[c45,p70]) ).
cnf(p176,plain,
( zero(in1(or1(f1(a))))
| ~ zero(outc(h2(f1(a)))) ),
inference(resolution,[status(thm)],[p171,c0]) ).
cnf(p322,plain,
zero(in1(or1(f1(a)))),
inference(resolution,[status(thm)],[p320,p176]) ).
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(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(p73,plain,
logic_or(or1(f1(a))),
inference(resolution,[status(thm)],[p70,c42]) ).
cnf(p86,plain,
( abnormal(or1(f1(a)))
| or_ok(or1(f1(a))) ),
inference(resolution,[status(thm)],[c20,p73]) ).
cnf(f15,axiom,
( zero(out1(K))
| ~ zero(in2(K))
| ~ zero(in1(K))
| ~ or_ok(K) ),
file('/export/starexec/sandbox2/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(p155,plain,
( zero(out1(or1(f1(a))))
| ~ zero(in2(or1(f1(a))))
| ~ zero(in1(or1(f1(a))))
| abnormal(or1(f1(a))) ),
inference(resolution,[status(thm)],[p86,c15]) ).
cnf(p324,plain,
( zero(out1(or1(f1(a))))
| ~ zero(in2(or1(f1(a))))
| abnormal(or1(f1(a))) ),
inference(resolution,[status(thm)],[p322,p155]) ).
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(p71,plain,
halfadder(h1(f1(a))),
inference(resolution,[status(thm)],[p70,c40]) ).
cnf(p101,plain,
connection(outc(h1(f1(a))),out1(and2(h1(f1(a))))),
inference(resolution,[status(thm)],[c36,p71]) ).
cnf(p248,plain,
( zero(outc(h1(f1(a))))
| ~ zero(out1(and2(h1(f1(a))))) ),
inference(resolution,[status(thm)],[p101,c2]) ).
cnf(p95,plain,
connection(in1(h1(f1(a))),in1(and2(h1(f1(a))))),
inference(resolution,[status(thm)],[c33,p71]) ).
cnf(p196,plain,
( zero(in1(and2(h1(f1(a)))))
| ~ zero(in1(h1(f1(a)))) ),
inference(resolution,[status(thm)],[p95,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(p108,plain,
connection(in2(f1(a)),in1(h1(f1(a)))),
inference(resolution,[status(thm)],[c47,p70]) ).
cnf(p109,plain,
( zero(in1(h1(f1(a))))
| ~ zero(in2(f1(a))) ),
inference(resolution,[status(thm)],[p108,c0]) ).
cnf(f55,axiom,
( connection(inb1(X),in2(f1(X)))
| ~ nbit_adder1(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_connection_inb1_in2f1) ).
fof(f55_nnf,plain,
! [X] :
( connection(inb1(X),in2(f1(X)))
| ~ nbit_adder1(X) ),
inference(nnf_transformation,[status(thm)],[f55]) ).
fof(f55_sk,plain,
! [X] :
( connection(inb1(X),in2(f1(X)))
| ~ nbit_adder1(X) ),
inference(skolemisation,[status(esa)],[f55_nnf]) ).
cnf(c55,plain,
( connection(inb1(X0),in2(f1(X0)))
| ~ nbit_adder1(X0) ),
inference(cnf_transformation,[status(esa)],[f55_sk]) ).
cnf(p143,plain,
connection(inb1(a),in2(f1(a))),
inference(resolution,[status(thm)],[c55,c57]) ).
cnf(p144,plain,
( zero(in2(f1(a)))
| ~ zero(inb1(a)) ),
inference(resolution,[status(thm)],[p143,c0]) ).
cnf(f59,hypothesis,
zero(inb1(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inb1_0) ).
fof(f59_nnf,plain,
zero(inb1(a)),
inference(nnf_transformation,[status(thm)],[f59]) ).
cnf(c59,plain,
zero(inb1(a)),
inference(cnf_transformation,[status(esa)],[f59_nnf]) ).
cnf(p146,plain,
zero(in2(f1(a))),
inference(resolution,[status(thm)],[p144,c59]) ).
cnf(p260,plain,
zero(in1(h1(f1(a)))),
inference(resolution,[status(thm)],[p109,p146]) ).
cnf(p302,plain,
zero(in1(and2(h1(f1(a))))),
inference(resolution,[status(thm)],[p196,p260]) ).
cnf(p75,plain,
logic_and(and2(h1(f1(a)))),
inference(resolution,[status(thm)],[p71,c28]) ).
cnf(p83,plain,
( abnormal(and2(h1(f1(a))))
| and_ok(and2(h1(f1(a)))) ),
inference(resolution,[status(thm)],[c12,p75]) ).
cnf(f64,negated_conjecture,
~ abnormal(and2(h1(f1(a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h1f1) ).
fof(f64_nnf,plain,
~ abnormal(and2(h1(f1(a)))),
inference(nnf_transformation,[status(thm)],[f64]) ).
fof(f64_sk,plain,
~ abnormal(and2(h1(f1(a)))),
inference(skolemisation,[status(esa)],[f64_nnf]) ).
cnf(c64,plain,
~ abnormal(and2(h1(f1(a)))),
inference(cnf_transformation,[status(esa)],[f64_sk]) ).
cnf(p204,plain,
and_ok(and2(h1(f1(a)))),
inference(resolution,[status(thm)],[p83,c64]) ).
cnf(p205,plain,
( zero(out1(and2(h1(f1(a)))))
| ~ zero(in1(and2(h1(f1(a))))) ),
inference(resolution,[status(thm)],[p204,c5]) ).
cnf(p304,plain,
zero(out1(and2(h1(f1(a))))),
inference(resolution,[status(thm)],[p302,p205]) ).
cnf(p316,plain,
zero(outc(h1(f1(a)))),
inference(resolution,[status(thm)],[p248,p304]) ).
cnf(f44,axiom,
( connection(outc(h1(X)),in2(or1(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/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(p170,plain,
connection(outc(h1(f1(a))),in2(or1(f1(a)))),
inference(resolution,[status(thm)],[c44,p70]) ).
cnf(p172,plain,
( zero(in2(or1(f1(a))))
| ~ zero(outc(h1(f1(a)))) ),
inference(resolution,[status(thm)],[p170,c0]) ).
cnf(p318,plain,
zero(in2(or1(f1(a)))),
inference(resolution,[status(thm)],[p316,p172]) ).
cnf(p325,plain,
( zero(out1(or1(f1(a))))
| abnormal(or1(f1(a))) ),
inference(resolution,[status(thm)],[p324,p318]) ).
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(p123,plain,
connection(outc(f1(a)),out1(or1(f1(a)))),
inference(resolution,[status(thm)],[c50,p70]) ).
cnf(p126,plain,
( zero(outc(f1(a)))
| ~ zero(out1(or1(f1(a)))) ),
inference(resolution,[status(thm)],[p123,c2]) ).
cnf(p327,plain,
( zero(outc(f1(a)))
| abnormal(or1(f1(a))) ),
inference(resolution,[status(thm)],[p325,p126]) ).
cnf(f63,negated_conjecture,
~ abnormal(or1(f1(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1f1) ).
fof(f63_nnf,plain,
~ abnormal(or1(f1(a))),
inference(nnf_transformation,[status(thm)],[f63]) ).
fof(f63_sk,plain,
~ abnormal(or1(f1(a))),
inference(skolemisation,[status(esa)],[f63_nnf]) ).
cnf(c63,plain,
~ abnormal(or1(f1(a))),
inference(cnf_transformation,[status(esa)],[f63_sk]) ).
cnf(p328,plain,
zero(outc(f1(a))),
inference(resolution,[status(thm)],[p327,c63]) ).
cnf(f53,axiom,
( connection(outc(X),outc(f1(X)))
| ~ nbit_adder1(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_connection_outc_outcf1) ).
fof(f53_nnf,plain,
! [X] :
( connection(outc(X),outc(f1(X)))
| ~ nbit_adder1(X) ),
inference(nnf_transformation,[status(thm)],[f53]) ).
fof(f53_sk,plain,
! [X] :
( connection(outc(X),outc(f1(X)))
| ~ nbit_adder1(X) ),
inference(skolemisation,[status(esa)],[f53_nnf]) ).
cnf(c53,plain,
( connection(outc(X0),outc(f1(X0)))
| ~ nbit_adder1(X0) ),
inference(cnf_transformation,[status(esa)],[f53_sk]) ).
cnf(p133,plain,
connection(outc(a),outc(f1(a))),
inference(resolution,[status(thm)],[c53,c57]) ).
cnf(p136,plain,
( zero(outc(a))
| ~ zero(outc(f1(a))) ),
inference(resolution,[status(thm)],[p133,c2]) ).
cnf(p330,plain,
zero(outc(a)),
inference(resolution,[status(thm)],[p328,p136]) ).
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(p332,plain,
~ one(outc(a)),
inference(resolution,[status(thm)],[p330,c4]) ).
cnf(f62,hypothesis,
one(outc(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_0) ).
fof(f62_nnf,plain,
one(outc(a)),
inference(nnf_transformation,[status(thm)],[f62]) ).
cnf(c62,plain,
one(outc(a)),
inference(cnf_transformation,[status(esa)],[f62_nnf]) ).
cnf(p333,plain,
$false,
inference(resolution,[status(thm)],[p332,c62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV008-2.001 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n020.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
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 16:22:18 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.11/1.08 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.11/1.08 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------