%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV006-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 : Tue Sep 29 10:20:10 AM UTC 2026
% Result : Unsatisfiable 2.84s 1.24s
% Output : Refutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 90
% Syntax : Number of formulae : 294 ( 84 unt; 40 def)
% Number of atoms : 574 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 509 ( 229 ~; 240 |; 0 &)
% ( 40 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 53 ( 52 usr; 41 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 1 con; 0-1 aty)
% Number of variables : 54 ( 0 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ connection(X0,X1)
| ~ zero(X0)
| zero(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation_zero1) ).
fof(f2,axiom,
! [X0,X1] :
( ~ connection(X0,X1)
| ~ one(X0)
| one(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation_one1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ connection(X0,X1)
| ~ zero(X1)
| zero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation_zero2) ).
fof(f4,axiom,
! [X0,X1] :
( ~ connection(X0,X1)
| ~ one(X1)
| one(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation_one2) ).
fof(f5,axiom,
! [X0] :
( ~ zero(X0)
| ~ one(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_value) ).
fof(f6,axiom,
! [X0] :
( ~ and_ok(X0)
| ~ zero(in1(X0))
| zero(out1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_0x_0) ).
fof(f8,axiom,
! [X0] :
( ~ and_ok(X0)
| ~ one(in1(X0))
| ~ one(in2(X0))
| one(out1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_11_1) ).
fof(f11,axiom,
! [X0] :
( ~ and_ok(X0)
| ~ one(out1(X0))
| one(in2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_1_x1) ).
fof(f13,axiom,
! [X0] :
( ~ logic_and(X0)
| and_ok(X0)
| abnormal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_ok_or_abnormal) ).
fof(f14,axiom,
! [X0] :
( ~ or_ok(X0)
| ~ one(in1(X0))
| one(out1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_1x_1) ).
fof(f15,axiom,
! [X0] :
( ~ or_ok(X0)
| ~ one(in2(X0))
| one(out1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_x1_1) ).
fof(f21,axiom,
! [X0] :
( ~ logic_or(X0)
| or_ok(X0)
| abnormal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_ok_or_abnormal) ).
fof(f22,axiom,
! [X0] :
( ~ not_ok(X0)
| ~ zero(in1(X0))
| one(out1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_0_1_fw) ).
fof(f25,axiom,
! [X0] :
( ~ not_ok(X0)
| ~ one(out1(X0))
| zero(in1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_1_0_bw) ).
fof(f27,axiom,
! [X0] :
( ~ logic_not(X0)
| not_ok(X0)
| abnormal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_ok_or_abnormal) ).
fof(f28,axiom,
! [X0] :
( logic_and(and1(X0))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_and1) ).
fof(f29,axiom,
! [X0] :
( logic_and(and2(X0))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_and2) ).
fof(f30,axiom,
! [X0] :
( logic_not(not1(X0))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_not1) ).
fof(f31,axiom,
! [X0] :
( logic_or(or1(X0))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_or1) ).
fof(f33,axiom,
! [X0] :
( ~ halfadder(X0)
| connection(in2(X0),in2(or1(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_in2_in2or1) ).
fof(f34,axiom,
! [X0] :
( ~ halfadder(X0)
| connection(in1(X0),in1(and2(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_in1_in1and2) ).
fof(f35,axiom,
! [X0] :
( ~ halfadder(X0)
| connection(in2(X0),in2(and2(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_in2_in2and2) ).
fof(f36,axiom,
! [X0] :
( ~ halfadder(X0)
| connection(outs(X0),out1(and1(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_outs_out1and1) ).
fof(f37,axiom,
! [X0] :
( ~ halfadder(X0)
| connection(outc(X0),out1(and2(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_outc_out1and2) ).
fof(f38,axiom,
! [X0] :
( ~ halfadder(X0)
| connection(out1(or1(X0)),in1(and1(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1or1_in1_and1) ).
fof(f39,axiom,
! [X0] :
( ~ halfadder(X0)
| connection(out1(and2(X0)),in1(not1(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1and2_in1not1) ).
fof(f40,axiom,
! [X0] :
( ~ halfadder(X0)
| connection(out1(not1(X0)),in2(and1(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1not1_in2and1) ).
fof(f41,axiom,
! [X0] :
( ~ fulladder(X0)
| halfadder(h1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_halfadder1) ).
fof(f42,axiom,
! [X0] :
( ~ fulladder(X0)
| halfadder(h2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_halfadder2) ).
fof(f43,axiom,
! [X0] :
( logic_or(or1(X0))
| ~ fulladder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_or1) ).
fof(f44,axiom,
! [X0] :
( ~ fulladder(X0)
| connection(outs(h1(X0)),in2(h2(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outsh1_in2h2) ).
fof(f46,axiom,
! [X0] :
( ~ fulladder(X0)
| connection(outc(h2(X0)),in1(or1(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outch2_in1or1) ).
fof(f47,axiom,
! [X0] :
( ~ fulladder(X0)
| connection(in1(X0),in1(h2(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_in1_in1h2) ).
fof(f48,axiom,
! [X0] :
( ~ fulladder(X0)
| connection(in2(X0),in1(h1(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_in2_in1h1) ).
fof(f49,axiom,
! [X0] :
( ~ fulladder(X0)
| connection(inc(X0),in2(h1(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_inc_in2h1) ).
fof(f50,axiom,
! [X0] :
( ~ fulladder(X0)
| connection(outs(X0),outs(h2(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outs_outsh2) ).
fof(f51,axiom,
! [X0] :
( ~ fulladder(X0)
| connection(outc(X0),out1(or1(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outc_out1or1) ).
fof(f52,axiom,
fulladder(f),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_isa_fulladder) ).
fof(f53,axiom,
one(in1(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in1_1) ).
fof(f54,axiom,
zero(in2(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in2_0) ).
fof(f55,axiom,
one(inc(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inc_1) ).
fof(f56,axiom,
one(outs(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outs_1) ).
fof(f57,axiom,
zero(outc(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_0) ).
fof(f58,negated_conjecture,
( ~ abnormal(or1(f))
| ~ abnormal(not1(h2(f))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1_not1h2) ).
fof(f59,negated_conjecture,
~ abnormal(and2(h2(f))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2) ).
fof(f60,negated_conjecture,
( ~ abnormal(or1(f))
| ~ abnormal(and1(h2(f))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1_and1h2) ).
fof(f61,negated_conjecture,
~ abnormal(or1(h1(f))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1h1) ).
fof(f62,negated_conjecture,
~ abnormal(not1(h1(f))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_not1h1) ).
fof(f63,negated_conjecture,
~ abnormal(and2(h1(f))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h1) ).
fof(f64,negated_conjecture,
~ abnormal(and1(h1(f))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and1h1) ).
fof(f66,definition,
( spl0_1
<=> abnormal(and1(h2(f))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f69,definition,
( spl0_2
<=> abnormal(or1(f)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f71,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f60,f69,f66]) ).
fof(f73,definition,
( spl0_3
<=> abnormal(not1(h2(f))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f75,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f58,f69,f73]) ).
fof(f78,plain,
halfadder(h1(f)),
inference(resolution,[],[f41,f52]) ).
fof(f79,plain,
halfadder(h2(f)),
inference(resolution,[],[f42,f52]) ).
fof(f80,plain,
! [X0] :
( and_ok(and1(X0))
| abnormal(and1(X0))
| ~ halfadder(X0) ),
inference(resolution,[],[f13,f28]) ).
fof(f81,plain,
! [X0] :
( and_ok(and2(X0))
| abnormal(and2(X0))
| ~ halfadder(X0) ),
inference(resolution,[],[f13,f29]) ).
fof(f82,plain,
! [X0] :
( or_ok(or1(X0))
| abnormal(or1(X0))
| ~ fulladder(X0) ),
inference(resolution,[],[f21,f43]) ).
fof(f83,plain,
! [X0] :
( or_ok(or1(X0))
| abnormal(or1(X0))
| ~ halfadder(X0) ),
inference(resolution,[],[f21,f31]) ).
fof(f84,plain,
! [X0] :
( not_ok(not1(X0))
| abnormal(not1(X0))
| ~ halfadder(X0) ),
inference(resolution,[],[f27,f30]) ).
fof(f87,plain,
connection(in2(h1(f)),in2(or1(h1(f)))),
inference(resolution,[],[f33,f78]) ).
fof(f89,plain,
connection(in1(h1(f)),in1(and2(h1(f)))),
inference(resolution,[],[f34,f78]) ).
fof(f90,plain,
connection(in1(h2(f)),in1(and2(h2(f)))),
inference(resolution,[],[f34,f79]) ).
fof(f92,plain,
connection(in2(h2(f)),in2(and2(h2(f)))),
inference(resolution,[],[f35,f79]) ).
fof(f93,plain,
connection(outs(h1(f)),out1(and1(h1(f)))),
inference(resolution,[],[f36,f78]) ).
fof(f94,plain,
connection(outs(h2(f)),out1(and1(h2(f)))),
inference(resolution,[],[f36,f79]) ).
fof(f96,plain,
connection(outc(h2(f)),out1(and2(h2(f)))),
inference(resolution,[],[f37,f79]) ).
fof(f97,plain,
connection(in1(f),in1(h2(f))),
inference(resolution,[],[f47,f52]) ).
fof(f100,plain,
( ~ one(in1(f))
| one(in1(h2(f))) ),
inference(resolution,[],[f97,f2]) ).
fof(f110,definition,
( spl0_6
<=> one(in1(h2(f))) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f113,definition,
( spl0_7
<=> one(in1(f)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f114,plain,
( ~ one(in1(f))
| spl0_7 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f115,plain,
( spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f100,f113,f110]) ).
fof(f119,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f114,f53]) ).
fof(f120,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f119]) ).
fof(f121,plain,
connection(in2(f),in1(h1(f))),
inference(resolution,[],[f48,f52]) ).
fof(f125,plain,
( ~ zero(in2(f))
| zero(in1(h1(f))) ),
inference(resolution,[],[f121,f1]) ).
fof(f127,definition,
( spl0_8
<=> zero(in1(h1(f))) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f130,definition,
( spl0_9
<=> zero(in2(f)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f131,plain,
( ~ zero(in2(f))
| spl0_9 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f132,plain,
( spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f125,f130,f127]) ).
fof(f140,plain,
( $false
| spl0_9 ),
inference(resolution,[],[f131,f54]) ).
fof(f141,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f144,plain,
connection(inc(f),in2(h1(f))),
inference(resolution,[],[f49,f52]) ).
fof(f147,plain,
( ~ one(inc(f))
| one(in2(h1(f))) ),
inference(resolution,[],[f144,f2]) ).
fof(f157,definition,
( spl0_14
<=> one(in2(h1(f))) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f160,definition,
( spl0_15
<=> one(inc(f)) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f161,plain,
( ~ one(inc(f))
| spl0_15 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f162,plain,
( spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f147,f160,f157]) ).
fof(f166,plain,
( $false
| spl0_15 ),
inference(resolution,[],[f161,f55]) ).
fof(f167,plain,
spl0_15,
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f168,plain,
connection(outs(f),outs(h2(f))),
inference(resolution,[],[f50,f52]) ).
fof(f171,plain,
( ~ one(outs(f))
| one(outs(h2(f))) ),
inference(resolution,[],[f168,f2]) ).
fof(f181,definition,
( spl0_18
<=> one(outs(h2(f))) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f184,definition,
( spl0_19
<=> one(outs(f)) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f185,plain,
( ~ one(outs(f))
| spl0_19 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f186,plain,
( spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f171,f184,f181]) ).
fof(f190,plain,
( $false
| spl0_19 ),
inference(resolution,[],[f185,f56]) ).
fof(f191,plain,
spl0_19,
inference(avatar_contradiction_clause,[],[f190]) ).
fof(f192,plain,
connection(outc(f),out1(or1(f))),
inference(resolution,[],[f51,f52]) ).
fof(f196,plain,
( ~ zero(outc(f))
| zero(out1(or1(f))) ),
inference(resolution,[],[f192,f1]) ).
fof(f198,definition,
( spl0_20
<=> zero(out1(or1(f))) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f199,plain,
( zero(out1(or1(f)))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f201,definition,
( spl0_21
<=> zero(outc(f)) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f202,plain,
( ~ zero(outc(f))
| spl0_21 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f203,plain,
( spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f196,f201,f198]) ).
fof(f208,definition,
( spl0_23
<=> one(out1(or1(f))) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f211,plain,
( $false
| spl0_21 ),
inference(resolution,[],[f202,f57]) ).
fof(f212,plain,
spl0_21,
inference(avatar_contradiction_clause,[],[f211]) ).
fof(f213,plain,
( ~ one(out1(or1(f)))
| ~ spl0_20 ),
inference(resolution,[],[f199,f5]) ).
fof(f214,plain,
( ~ spl0_23
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f213,f198,f208]) ).
fof(f215,plain,
connection(out1(or1(h1(f))),in1(and1(h1(f)))),
inference(resolution,[],[f38,f78]) ).
fof(f217,plain,
! [X0] :
( ~ halfadder(X0)
| abnormal(and1(X0))
| ~ one(out1(and1(X0)))
| one(in2(and1(X0))) ),
inference(resolution,[],[f80,f11]) ).
fof(f222,plain,
connection(out1(and2(h1(f))),in1(not1(h1(f)))),
inference(resolution,[],[f39,f78]) ).
fof(f223,plain,
connection(out1(and2(h2(f))),in1(not1(h2(f)))),
inference(resolution,[],[f39,f79]) ).
fof(f227,plain,
! [X0] :
( ~ halfadder(X0)
| abnormal(and2(X0))
| ~ zero(in1(and2(X0)))
| zero(out1(and2(X0))) ),
inference(resolution,[],[f81,f6]) ).
fof(f229,plain,
connection(out1(not1(h1(f))),in2(and1(h1(f)))),
inference(resolution,[],[f40,f78]) ).
fof(f230,plain,
connection(out1(not1(h2(f))),in2(and1(h2(f)))),
inference(resolution,[],[f40,f79]) ).
fof(f234,plain,
! [X0] :
( ~ fulladder(X0)
| abnormal(or1(X0))
| ~ one(in1(or1(X0)))
| one(out1(or1(X0))) ),
inference(resolution,[],[f82,f14]) ).
fof(f236,plain,
connection(outs(h1(f)),in2(h2(f))),
inference(resolution,[],[f44,f52]) ).
fof(f239,plain,
( ~ one(outs(h1(f)))
| one(in2(h2(f))) ),
inference(resolution,[],[f236,f2]) ).
fof(f249,definition,
( spl0_26
<=> one(in2(h2(f))) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f252,definition,
( spl0_27
<=> one(outs(h1(f))) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f254,plain,
( spl0_26
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f239,f252,f249]) ).
fof(f286,plain,
connection(outc(h2(f)),in1(or1(f))),
inference(resolution,[],[f46,f52]) ).
fof(f289,plain,
( ~ one(outc(h2(f)))
| one(in1(or1(f))) ),
inference(resolution,[],[f286,f2]) ).
fof(f299,definition,
( spl0_34
<=> one(in1(or1(f))) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f302,definition,
( spl0_35
<=> one(outc(h2(f))) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f304,plain,
( spl0_34
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f289,f302,f299]) ).
fof(f311,plain,
! [X0] :
( ~ halfadder(X0)
| ~ one(in2(and1(X0)))
| one(out1(and1(X0)))
| abnormal(and1(X0))
| ~ one(in1(and1(X0))) ),
inference(resolution,[],[f8,f80]) ).
fof(f312,plain,
! [X0] :
( ~ halfadder(X0)
| ~ one(in2(and2(X0)))
| one(out1(and2(X0)))
| abnormal(and2(X0))
| ~ one(in1(and2(X0))) ),
inference(resolution,[],[f8,f81]) ).
fof(f315,plain,
! [X0] :
( ~ halfadder(X0)
| abnormal(or1(X0))
| ~ one(in2(or1(X0)))
| one(out1(or1(X0))) ),
inference(resolution,[],[f83,f15]) ).
fof(f320,plain,
! [X0] :
( ~ halfadder(X0)
| abnormal(not1(X0))
| ~ one(out1(not1(X0)))
| zero(in1(not1(X0))) ),
inference(resolution,[],[f84,f25]) ).
fof(f323,plain,
! [X0] :
( ~ halfadder(X0)
| abnormal(not1(X0))
| ~ zero(in1(not1(X0)))
| one(out1(not1(X0))) ),
inference(resolution,[],[f84,f22]) ).
fof(f360,plain,
( ~ one(in2(h1(f)))
| one(in2(or1(h1(f)))) ),
inference(resolution,[],[f87,f2]) ).
fof(f363,definition,
( spl0_40
<=> one(in2(or1(h1(f)))) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f366,plain,
( spl0_40
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f360,f157,f363]) ).
fof(f386,plain,
( ~ zero(in1(h1(f)))
| zero(in1(and2(h1(f)))) ),
inference(resolution,[],[f89,f1]) ).
fof(f388,definition,
( spl0_44
<=> zero(in1(and2(h1(f)))) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f390,plain,
( spl0_44
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f386,f127,f388]) ).
fof(f399,plain,
( ~ one(in1(h2(f)))
| one(in1(and2(h2(f)))) ),
inference(resolution,[],[f90,f2]) ).
fof(f402,definition,
( spl0_46
<=> one(in1(and2(h2(f)))) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f404,plain,
( spl0_46
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f399,f110,f402]) ).
fof(f423,plain,
( ~ one(in2(h2(f)))
| one(in2(and2(h2(f)))) ),
inference(resolution,[],[f92,f2]) ).
fof(f430,definition,
( spl0_51
<=> one(in2(and2(h2(f)))) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f433,plain,
( ~ one(out1(and1(h1(f))))
| one(outs(h1(f))) ),
inference(resolution,[],[f93,f4]) ).
fof(f442,definition,
( spl0_53
<=> one(out1(and1(h1(f)))) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f444,plain,
( spl0_27
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f433,f442,f252]) ).
fof(f447,plain,
( ~ one(outs(h2(f)))
| one(out1(and1(h2(f)))) ),
inference(resolution,[],[f94,f2]) ).
fof(f450,definition,
( spl0_54
<=> one(out1(and1(h2(f)))) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f453,plain,
( spl0_54
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f447,f181,f450]) ).
fof(f463,definition,
( spl0_56
<=> zero(out1(and2(h1(f)))) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f470,plain,
( ~ one(out1(and2(h2(f))))
| one(outc(h2(f))) ),
inference(resolution,[],[f96,f4]) ).
fof(f475,definition,
( spl0_58
<=> zero(out1(and2(h2(f)))) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f479,definition,
( spl0_59
<=> one(out1(and2(h2(f)))) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f481,plain,
( spl0_35
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f470,f479,f302]) ).
fof(f484,plain,
( ~ one(out1(or1(h1(f))))
| one(in1(and1(h1(f)))) ),
inference(resolution,[],[f215,f2]) ).
fof(f494,definition,
( spl0_62
<=> one(in1(and1(h1(f)))) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f497,definition,
( spl0_63
<=> one(out1(or1(h1(f)))) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f499,plain,
( spl0_62
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f484,f497,f494]) ).
fof(f533,plain,
( ~ zero(out1(and2(h1(f))))
| zero(in1(not1(h1(f)))) ),
inference(resolution,[],[f222,f1]) ).
fof(f536,definition,
( spl0_68
<=> zero(in1(not1(h1(f)))) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f545,plain,
( ~ zero(in1(not1(h2(f))))
| zero(out1(and2(h2(f)))) ),
inference(resolution,[],[f223,f3]) ).
fof(f548,plain,
( zero(out1(and2(h2(f))))
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f550,definition,
( spl0_70
<=> zero(in1(not1(h2(f)))) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f552,plain,
( spl0_58
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f545,f550,f475]) ).
fof(f560,plain,
( ~ one(out1(not1(h1(f))))
| one(in2(and1(h1(f)))) ),
inference(resolution,[],[f229,f2]) ).
fof(f570,definition,
( spl0_74
<=> one(in2(and1(h1(f)))) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f573,definition,
( spl0_75
<=> one(out1(not1(h1(f)))) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f575,plain,
( spl0_74
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f560,f573,f570]) ).
fof(f582,plain,
( ~ one(in2(and1(h2(f))))
| one(out1(not1(h2(f)))) ),
inference(resolution,[],[f230,f4]) ).
fof(f594,definition,
( spl0_78
<=> one(in2(and1(h2(f)))) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f597,definition,
( spl0_79
<=> one(out1(not1(h2(f)))) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f605,plain,
( spl0_79
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f582,f594,f597]) ).
fof(f607,plain,
( abnormal(and1(h2(f)))
| ~ one(out1(and1(h2(f))))
| one(in2(and1(h2(f)))) ),
inference(resolution,[],[f217,f79]) ).
fof(f610,plain,
( spl0_78
| ~ spl0_54
| spl0_1 ),
inference(avatar_split_clause,[],[f607,f66,f450,f594]) ).
fof(f623,plain,
( abnormal(and2(h1(f)))
| ~ zero(in1(and2(h1(f))))
| zero(out1(and2(h1(f)))) ),
inference(resolution,[],[f227,f78]) ).
fof(f627,definition,
( spl0_80
<=> abnormal(and2(h1(f))) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f628,plain,
( abnormal(and2(h1(f)))
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f629,plain,
( spl0_56
| ~ spl0_44
| spl0_80 ),
inference(avatar_split_clause,[],[f623,f627,f388,f463]) ).
fof(f630,plain,
( $false
| ~ spl0_80 ),
inference(resolution,[],[f628,f63]) ).
fof(f631,plain,
~ spl0_80,
inference(avatar_contradiction_clause,[],[f630]) ).
fof(f633,plain,
( spl0_68
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f533,f463,f536]) ).
fof(f649,plain,
( ~ one(out1(and2(h2(f))))
| ~ spl0_58 ),
inference(resolution,[],[f548,f5]) ).
fof(f652,plain,
( abnormal(or1(f))
| ~ one(in1(or1(f)))
| one(out1(or1(f))) ),
inference(resolution,[],[f234,f52]) ).
fof(f657,plain,
( abnormal(or1(h1(f)))
| ~ one(in2(or1(h1(f))))
| one(out1(or1(h1(f)))) ),
inference(resolution,[],[f315,f78]) ).
fof(f661,definition,
( spl0_81
<=> abnormal(or1(h1(f))) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f662,plain,
( abnormal(or1(h1(f)))
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f663,plain,
( spl0_63
| ~ spl0_40
| spl0_81 ),
inference(avatar_split_clause,[],[f657,f661,f363,f497]) ).
fof(f672,plain,
( abnormal(not1(h2(f)))
| ~ one(out1(not1(h2(f))))
| zero(in1(not1(h2(f)))) ),
inference(resolution,[],[f320,f79]) ).
fof(f677,plain,
( abnormal(not1(h1(f)))
| ~ zero(in1(not1(h1(f))))
| one(out1(not1(h1(f)))) ),
inference(resolution,[],[f323,f78]) ).
fof(f682,definition,
( spl0_83
<=> abnormal(not1(h1(f))) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f683,plain,
( abnormal(not1(h1(f)))
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f684,plain,
( spl0_75
| ~ spl0_68
| spl0_83 ),
inference(avatar_split_clause,[],[f677,f682,f536,f573]) ).
fof(f685,plain,
( ~ one(in2(and1(h1(f))))
| one(out1(and1(h1(f))))
| abnormal(and1(h1(f)))
| ~ one(in1(and1(h1(f)))) ),
inference(resolution,[],[f311,f78]) ).
fof(f688,definition,
( spl0_84
<=> abnormal(and1(h1(f))) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f689,plain,
( abnormal(and1(h1(f)))
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f691,plain,
( ~ spl0_62
| spl0_84
| spl0_53
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f685,f570,f442,f688,f494]) ).
fof(f696,plain,
( spl0_51
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f423,f249,f430]) ).
fof(f698,plain,
( ~ one(in2(and2(h2(f))))
| one(out1(and2(h2(f))))
| abnormal(and2(h2(f)))
| ~ one(in1(and2(h2(f)))) ),
inference(resolution,[],[f312,f79]) ).
fof(f701,definition,
( spl0_85
<=> abnormal(and2(h2(f))) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f702,plain,
( abnormal(and2(h2(f)))
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f703,plain,
( ~ spl0_46
| spl0_85
| spl0_59
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f698,f430,f479,f701,f402]) ).
fof(f706,plain,
( ~ spl0_59
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f649,f475,f479]) ).
fof(f711,plain,
( spl0_23
| ~ spl0_34
| spl0_2 ),
inference(avatar_split_clause,[],[f652,f69,f299,f208]) ).
fof(f713,plain,
( spl0_70
| ~ spl0_79
| spl0_3 ),
inference(avatar_split_clause,[],[f672,f73,f597,f550]) ).
fof(f722,plain,
( $false
| ~ spl0_85 ),
inference(resolution,[],[f702,f59]) ).
fof(f723,plain,
~ spl0_85,
inference(avatar_contradiction_clause,[],[f722]) ).
fof(f725,plain,
( $false
| ~ spl0_84 ),
inference(resolution,[],[f689,f64]) ).
fof(f726,plain,
~ spl0_84,
inference(avatar_contradiction_clause,[],[f725]) ).
fof(f728,plain,
( $false
| ~ spl0_81 ),
inference(resolution,[],[f662,f61]) ).
fof(f729,plain,
~ spl0_81,
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f731,plain,
( $false
| ~ spl0_83 ),
inference(resolution,[],[f683,f62]) ).
fof(f732,plain,
~ spl0_83,
inference(avatar_contradiction_clause,[],[f731]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f71]) ).
cnf(s2,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f75]) ).
cnf(s4,plain,
( spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f115]) ).
cnf(s6,plain,
spl0_7,
inference(sat_conversion,[],[f120]) ).
cnf(s7,plain,
( spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f132]) ).
cnf(s9,plain,
spl0_9,
inference(sat_conversion,[],[f141]) ).
cnf(s12,plain,
( spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f162]) ).
cnf(s14,plain,
spl0_15,
inference(sat_conversion,[],[f167]) ).
cnf(s16,plain,
( spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f186]) ).
cnf(s18,plain,
spl0_19,
inference(sat_conversion,[],[f191]) ).
cnf(s19,plain,
( spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f203]) ).
cnf(s21,plain,
spl0_21,
inference(sat_conversion,[],[f212]) ).
cnf(s22,plain,
( ~ spl0_20
| ~ spl0_23 ),
inference(sat_conversion,[],[f214]) ).
cnf(s24,plain,
( spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f254]) ).
cnf(s32,plain,
( spl0_34
| ~ spl0_35 ),
inference(sat_conversion,[],[f304]) ).
cnf(s40,plain,
( ~ spl0_14
| spl0_40 ),
inference(sat_conversion,[],[f366]) ).
cnf(s44,plain,
( ~ spl0_8
| spl0_44 ),
inference(sat_conversion,[],[f390]) ).
cnf(s47,plain,
( ~ spl0_6
| spl0_46 ),
inference(sat_conversion,[],[f404]) ).
cnf(s54,plain,
( spl0_27
| ~ spl0_53 ),
inference(sat_conversion,[],[f444]) ).
cnf(s55,plain,
( ~ spl0_18
| spl0_54 ),
inference(sat_conversion,[],[f453]) ).
cnf(s60,plain,
( spl0_35
| ~ spl0_59 ),
inference(sat_conversion,[],[f481]) ).
cnf(s62,plain,
( spl0_62
| ~ spl0_63 ),
inference(sat_conversion,[],[f499]) ).
cnf(s71,plain,
( spl0_58
| ~ spl0_70 ),
inference(sat_conversion,[],[f552]) ).
cnf(s74,plain,
( spl0_74
| ~ spl0_75 ),
inference(sat_conversion,[],[f575]) ).
cnf(s80,plain,
( ~ spl0_78
| spl0_79 ),
inference(sat_conversion,[],[f605]) ).
cnf(s81,plain,
( spl0_1
| ~ spl0_54
| spl0_78 ),
inference(sat_conversion,[],[f610]) ).
cnf(s82,plain,
( ~ spl0_44
| spl0_56
| spl0_80 ),
inference(sat_conversion,[],[f629]) ).
cnf(s83,plain,
~ spl0_80,
inference(sat_conversion,[],[f631]) ).
cnf(s84,plain,
( ~ spl0_56
| spl0_68 ),
inference(sat_conversion,[],[f633]) ).
cnf(s89,plain,
( ~ spl0_40
| spl0_63
| spl0_81 ),
inference(sat_conversion,[],[f663]) ).
cnf(s92,plain,
( ~ spl0_68
| spl0_75
| spl0_83 ),
inference(sat_conversion,[],[f684]) ).
cnf(s93,plain,
( spl0_53
| ~ spl0_62
| ~ spl0_74
| spl0_84 ),
inference(sat_conversion,[],[f691]) ).
cnf(s96,plain,
( ~ spl0_26
| spl0_51 ),
inference(sat_conversion,[],[f696]) ).
cnf(s97,plain,
( ~ spl0_46
| ~ spl0_51
| spl0_59
| spl0_85 ),
inference(sat_conversion,[],[f703]) ).
cnf(s99,plain,
( ~ spl0_58
| ~ spl0_59 ),
inference(sat_conversion,[],[f706]) ).
cnf(s103,plain,
( spl0_2
| spl0_23
| ~ spl0_34 ),
inference(sat_conversion,[],[f711]) ).
cnf(s105,plain,
( spl0_3
| spl0_70
| ~ spl0_79 ),
inference(sat_conversion,[],[f713]) ).
cnf(s113,plain,
~ spl0_85,
inference(sat_conversion,[],[f723]) ).
cnf(s115,plain,
~ spl0_84,
inference(sat_conversion,[],[f726]) ).
cnf(s117,plain,
~ spl0_81,
inference(sat_conversion,[],[f729]) ).
cnf(s119,plain,
~ spl0_83,
inference(sat_conversion,[],[f732]) ).
cnf(s120,plain,
( ~ spl0_46
| ~ spl0_51
| spl0_59 ),
inference(rat,[],[s97,s113]) ).
cnf(s121,plain,
( spl0_53
| ~ spl0_62
| ~ spl0_74 ),
inference(rat,[],[s93,s115]) ).
cnf(s122,plain,
( ~ spl0_68
| spl0_75 ),
inference(rat,[],[s92,s119]) ).
cnf(s123,plain,
( ~ spl0_40
| spl0_63 ),
inference(rat,[],[s89,s117]) ).
cnf(s124,plain,
( ~ spl0_44
| spl0_56 ),
inference(rat,[],[s82,s83]) ).
cnf(s125,plain,
spl0_20,
inference(rat,[],[s19,s21]) ).
cnf(s126,plain,
~ spl0_23,
inference(rat,[],[s22,s125]) ).
cnf(s127,plain,
spl0_18,
inference(rat,[],[s16,s18]) ).
cnf(s128,plain,
spl0_54,
inference(rat,[],[s55,s127]) ).
cnf(s129,plain,
spl0_14,
inference(rat,[],[s12,s14]) ).
cnf(s131,plain,
spl0_40,
inference(rat,[],[s40,s129]) ).
cnf(s132,plain,
spl0_63,
inference(rat,[],[s123,s131]) ).
cnf(s133,plain,
spl0_62,
inference(rat,[],[s62,s132]) ).
cnf(s134,plain,
spl0_8,
inference(rat,[],[s7,s9]) ).
cnf(s135,plain,
spl0_44,
inference(rat,[],[s44,s134]) ).
cnf(s138,plain,
spl0_56,
inference(rat,[],[s124,s135]) ).
cnf(s141,plain,
spl0_68,
inference(rat,[],[s84,s138]) ).
cnf(s143,plain,
spl0_75,
inference(rat,[],[s122,s141]) ).
cnf(s145,plain,
spl0_74,
inference(rat,[],[s74,s143]) ).
cnf(s146,plain,
spl0_53,
inference(rat,[],[s121,s133,s145]) ).
cnf(s147,plain,
spl0_27,
inference(rat,[],[s54,s146]) ).
cnf(s148,plain,
spl0_26,
inference(rat,[],[s24,s147]) ).
cnf(s149,plain,
spl0_51,
inference(rat,[],[s96,s148]) ).
cnf(s151,plain,
spl0_6,
inference(rat,[],[s4,s6]) ).
cnf(s152,plain,
spl0_46,
inference(rat,[],[s47,s151]) ).
cnf(s154,plain,
spl0_59,
inference(rat,[],[s120,s149,s152]) ).
cnf(s155,plain,
~ spl0_58,
inference(rat,[],[s99,s154]) ).
cnf(s157,plain,
spl0_35,
inference(rat,[],[s60,s154]) ).
cnf(s159,plain,
~ spl0_70,
inference(rat,[],[s71,s155]) ).
cnf(s160,plain,
spl0_34,
inference(rat,[],[s32,s157]) ).
cnf(s162,plain,
spl0_2,
inference(rat,[],[s103,s126,s160]) ).
cnf(s163,plain,
~ spl0_3,
inference(rat,[],[s2,s162]) ).
cnf(s164,plain,
~ spl0_79,
inference(rat,[],[s105,s159,s163]) ).
cnf(s166,plain,
~ spl0_78,
inference(rat,[],[s80,s164]) ).
cnf(s168,plain,
spl0_1,
inference(rat,[],[s81,s128,s166]) ).
cnf(s169,plain,
$false,
inference(rat,[],[s1,s162,s168]) ).
fof(f733,plain,
$false,
inference(avatar_sat_refutation,[],[s169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV006-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:53:07 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.84/1.24 % (3342880)Input is clausal, will run a generic CNF schedule.
% 2.84/1.24 % (3343006)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1972415690:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.84/1.24 % (3343005)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=338379639:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.84/1.24 % (3343004)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2843027568:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.84/1.24 % (3343007)lrs+10_1_sil=8000:sp=occurrence:random_seed=1038973190:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.84/1.24 % (3343010)dis-21_1_sil=8000:lcm=predicate:random_seed=3010586160:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.84/1.24 % (3343008)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3521632765:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.84/1.24 % (3343009)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1405173190:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.84/1.24 % (3343008)Refutation not found, incomplete strategy
% 2.84/1.24 % (3343008)------------------------------
% 2.84/1.24 % (3343008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.24 % (3343008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.24 % (3343008)CaDiCaL version: 2.1.3
% 2.84/1.24 % (3343008)Termination reason: Refutation not found, incomplete strategy
% 2.84/1.24 % (3343008)Time elapsed: 0.005 s
% 2.84/1.24 % (3343008)Peak memory usage: 87 MB
% 2.84/1.24 % (3343008)Instructions burned: 7 (million)
% 2.84/1.24 % (3343010)First to succeed.
% 2.84/1.24 % (3343010)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3342880"
% 2.84/1.24 % (3343009)Also succeeded, but the first one will report.
% 2.84/1.24 % (3343007)Instruction limit reached!
% 2.84/1.24 % (3343007)------------------------------
% 2.84/1.24 % (3343007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.24 % (3343007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.24 % (3343007)CaDiCaL version: 2.1.3
% 2.84/1.24 % (3343007)Termination reason: Instruction limit
% 2.84/1.24 % (3343007)Termination phase: Saturation
% 2.84/1.24 % (3343007)Time elapsed: 0.060 s
% 2.84/1.24 % (3343007)Peak memory usage: 88 MB
% 2.84/1.24 % (3343007)Instructions burned: 108 (million)
% 2.84/1.24 % (3343065)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1438190190:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.84/1.24 % (3343065)Refutation not found, incomplete strategy
% 2.84/1.24 % (3343065)------------------------------
% 2.84/1.24 % (3343065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.24 % (3343065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.24 % (3343065)CaDiCaL version: 2.1.3
% 2.84/1.24 % (3343065)Termination reason: Refutation not found, incomplete strategy
% 2.84/1.24 % (3343065)Time elapsed: 0.002 s
% 2.84/1.24 % (3343065)Peak memory usage: 88 MB
% 2.84/1.24 % (3343065)Instructions burned: 1 (million)
% 2.84/1.24 % (3343008)------------------------------
% 2.84/1.24 % (3343008)------------------------------
% 2.84/1.24 % (3343010)Refutation found. Thanks to Tanya!
% 2.84/1.24 % SZS status Unsatisfiable for theBenchmark
% 2.84/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 3.39/1.34 % (3343010)------------------------------
% 3.39/1.34 % (3343010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.34 % (3343010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.34 % (3343010)CaDiCaL version: 2.1.3
% 3.39/1.34 % (3343010)Termination reason: Refutation
% 3.39/1.34 % (3343010)Time elapsed: 0.011 s
% 3.39/1.34 % (3343010)Peak memory usage: 89 MB
% 3.39/1.34 % (3343010)Instructions burned: 15 (million)
% 3.39/1.34 % (3343010)------------------------------
% 3.39/1.34 % (3343010)------------------------------
% 3.39/1.34 % (3342880)Success in time 0.407 s
% 3.39/1.34 % Vampire exiting
%------------------------------------------------------------------------------