%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV005-2 : 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 : n015.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 10:20:09 AM UTC 2026
% Result : Unsatisfiable 2.45s 1.16s
% Output : Refutation 2.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 39
% Syntax : Number of formulae : 110 ( 26 unt; 13 def)
% Number of atoms : 232 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 230 ( 108 ~; 109 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 25 ( 24 usr; 14 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-1 aty)
% Number of variables : 34 ( 0 sgn 34 !; 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(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] :
( ~ one(X0)
| ~ zero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_value) ).
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(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(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(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(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(f32,axiom,
! [X0] :
( connection(in1(X0),in1(or1(X0)))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_in1_in1or1) ).
fof(f36,axiom,
! [X0] :
( connection(outs(X0),out1(and1(X0)))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_outs_out1and1) ).
fof(f37,axiom,
! [X0] :
( connection(outc(X0),out1(and2(X0)))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_outc_out1and2) ).
fof(f38,axiom,
! [X0] :
( connection(out1(or1(X0)),in1(and1(X0)))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1or1_in1_and1) ).
fof(f39,axiom,
! [X0] :
( connection(out1(and2(X0)),in1(not1(X0)))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1and2_in1not1) ).
fof(f40,axiom,
! [X0] :
( connection(out1(not1(X0)),in2(and1(X0)))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1not1_in2and1) ).
fof(f41,axiom,
halfadder(h),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_isa_halfadder) ).
fof(f42,axiom,
one(in1(h)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in1_1) ).
fof(f44,axiom,
zero(outs(h)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outs_0) ).
fof(f45,axiom,
zero(outc(h)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_0) ).
fof(f46,negated_conjecture,
~ abnormal(and1(h)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and1) ).
fof(f47,negated_conjecture,
~ abnormal(not1(h)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_not1) ).
fof(f48,negated_conjecture,
~ abnormal(or1(h)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1) ).
fof(f50,plain,
! [X0] :
( and_ok(and1(X0))
| abnormal(and1(X0))
| ~ halfadder(X0) ),
inference(resolution,[],[f13,f28]) ).
fof(f52,plain,
! [X0] :
( or_ok(or1(X0))
| abnormal(or1(X0))
| ~ halfadder(X0) ),
inference(resolution,[],[f21,f31]) ).
fof(f53,plain,
! [X0] :
( not_ok(not1(X0))
| abnormal(not1(X0))
| ~ halfadder(X0) ),
inference(resolution,[],[f27,f30]) ).
fof(f56,plain,
! [X0] :
( ~ halfadder(X0)
| ~ one(in1(X0))
| one(in1(or1(X0))) ),
inference(resolution,[],[f32,f2]) ).
fof(f70,plain,
! [X0] :
( ~ halfadder(X0)
| ~ one(out1(and1(X0)))
| one(outs(X0)) ),
inference(resolution,[],[f36,f4]) ).
fof(f77,plain,
! [X0] :
( ~ halfadder(X0)
| ~ zero(outc(X0))
| zero(out1(and2(X0))) ),
inference(resolution,[],[f37,f1]) ).
fof(f85,plain,
! [X0] :
( ~ halfadder(X0)
| ~ one(out1(or1(X0)))
| one(in1(and1(X0))) ),
inference(resolution,[],[f38,f2]) ).
fof(f95,plain,
! [X0] :
( ~ halfadder(X0)
| ~ zero(out1(and2(X0)))
| zero(in1(not1(X0))) ),
inference(resolution,[],[f39,f1]) ).
fof(f99,plain,
! [X0] :
( abnormal(or1(X0))
| ~ halfadder(X0)
| ~ one(in1(or1(X0)))
| one(out1(or1(X0))) ),
inference(resolution,[],[f52,f14]) ).
fof(f103,plain,
! [X0] :
( ~ halfadder(X0)
| ~ one(out1(not1(X0)))
| one(in2(and1(X0))) ),
inference(resolution,[],[f40,f2]) ).
fof(f108,plain,
! [X0] :
( abnormal(not1(X0))
| ~ halfadder(X0)
| ~ zero(in1(not1(X0)))
| one(out1(not1(X0))) ),
inference(resolution,[],[f53,f22]) ).
fof(f110,plain,
! [X0] :
( abnormal(and1(X0))
| ~ one(in2(and1(X0)))
| one(out1(and1(X0)))
| ~ one(in1(and1(X0)))
| ~ halfadder(X0) ),
inference(resolution,[],[f8,f50]) ).
fof(f124,plain,
( ~ one(in1(h))
| one(in1(or1(h))) ),
inference(resolution,[],[f56,f41]) ).
fof(f126,definition,
( spl0_3
<=> one(in1(or1(h))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f129,definition,
( spl0_4
<=> one(in1(h)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f130,plain,
( ~ one(in1(h))
| spl0_4 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f131,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f124,f129,f126]) ).
fof(f132,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f130,f42]) ).
fof(f133,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f132]) ).
fof(f185,plain,
( ~ one(out1(and1(h)))
| one(outs(h)) ),
inference(resolution,[],[f70,f41]) ).
fof(f187,definition,
( spl0_13
<=> one(outs(h)) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f188,plain,
( one(outs(h))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f190,definition,
( spl0_14
<=> one(out1(and1(h))) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f192,plain,
( spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f185,f190,f187]) ).
fof(f203,definition,
( spl0_16
<=> zero(outs(h)) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f204,plain,
( ~ zero(outs(h))
| spl0_16 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f206,plain,
( $false
| spl0_16 ),
inference(resolution,[],[f204,f44]) ).
fof(f207,plain,
spl0_16,
inference(avatar_contradiction_clause,[],[f206]) ).
fof(f221,plain,
( ~ zero(outc(h))
| zero(out1(and2(h))) ),
inference(resolution,[],[f77,f41]) ).
fof(f223,definition,
( spl0_19
<=> zero(out1(and2(h))) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f226,definition,
( spl0_20
<=> zero(outc(h)) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f227,plain,
( ~ zero(outc(h))
| spl0_20 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f228,plain,
( spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f221,f226,f223]) ).
fof(f229,plain,
( $false
| spl0_20 ),
inference(resolution,[],[f227,f45]) ).
fof(f230,plain,
spl0_20,
inference(avatar_contradiction_clause,[],[f229]) ).
fof(f233,definition,
( spl0_21
<=> one(out1(or1(h))) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f236,definition,
( spl0_22
<=> one(in1(and1(h))) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f247,plain,
( ~ one(out1(or1(h)))
| one(in1(and1(h))) ),
inference(resolution,[],[f85,f41]) ).
fof(f250,plain,
( spl0_22
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f247,f233,f236]) ).
fof(f262,plain,
( ~ zero(out1(and2(h)))
| zero(in1(not1(h))) ),
inference(resolution,[],[f95,f41]) ).
fof(f264,definition,
( spl0_26
<=> zero(in1(not1(h))) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f267,plain,
( spl0_26
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f262,f223,f264]) ).
fof(f270,definition,
( spl0_27
<=> one(out1(not1(h))) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f273,definition,
( spl0_28
<=> one(in2(and1(h))) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f284,plain,
( ~ one(out1(not1(h)))
| one(in2(and1(h))) ),
inference(resolution,[],[f103,f41]) ).
fof(f287,plain,
( spl0_28
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f284,f270,f273]) ).
fof(f299,plain,
( ~ halfadder(h)
| ~ one(in1(or1(h)))
| one(out1(or1(h))) ),
inference(resolution,[],[f99,f48]) ).
fof(f302,definition,
( spl0_31
<=> halfadder(h) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f303,plain,
( ~ halfadder(h)
| spl0_31 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f304,plain,
( spl0_21
| ~ spl0_3
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f299,f302,f126,f233]) ).
fof(f305,plain,
( $false
| spl0_31 ),
inference(resolution,[],[f303,f41]) ).
fof(f306,plain,
spl0_31,
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f312,plain,
( ~ halfadder(h)
| ~ zero(in1(not1(h)))
| one(out1(not1(h))) ),
inference(resolution,[],[f108,f47]) ).
fof(f314,plain,
( spl0_27
| ~ spl0_26
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f312,f302,f264,f270]) ).
fof(f317,plain,
( ~ one(in2(and1(h)))
| one(out1(and1(h)))
| ~ one(in1(and1(h)))
| ~ halfadder(h) ),
inference(resolution,[],[f110,f46]) ).
fof(f318,plain,
( ~ spl0_31
| ~ spl0_22
| spl0_14
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f317,f273,f190,f236,f302]) ).
fof(f319,plain,
( ~ zero(outs(h))
| ~ spl0_13 ),
inference(resolution,[],[f188,f5]) ).
fof(f320,plain,
( ~ spl0_16
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f319,f187,f203]) ).
cnf(s2,plain,
( spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f131]) ).
cnf(s3,plain,
spl0_4,
inference(sat_conversion,[],[f133]) ).
cnf(s12,plain,
( spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f192]) ).
cnf(s15,plain,
spl0_16,
inference(sat_conversion,[],[f207]) ).
cnf(s18,plain,
( spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f228]) ).
cnf(s19,plain,
spl0_20,
inference(sat_conversion,[],[f230]) ).
cnf(s22,plain,
( ~ spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f250]) ).
cnf(s25,plain,
( ~ spl0_19
| spl0_26 ),
inference(sat_conversion,[],[f267]) ).
cnf(s28,plain,
( ~ spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f287]) ).
cnf(s30,plain,
( ~ spl0_3
| spl0_21
| ~ spl0_31 ),
inference(sat_conversion,[],[f304]) ).
cnf(s31,plain,
spl0_31,
inference(sat_conversion,[],[f306]) ).
cnf(s32,plain,
( ~ spl0_26
| spl0_27
| ~ spl0_31 ),
inference(sat_conversion,[],[f314]) ).
cnf(s33,plain,
( spl0_14
| ~ spl0_22
| ~ spl0_28
| ~ spl0_31 ),
inference(sat_conversion,[],[f318]) ).
cnf(s34,plain,
( ~ spl0_13
| ~ spl0_16 ),
inference(sat_conversion,[],[f320]) ).
cnf(s35,plain,
( ~ spl0_3
| spl0_21 ),
inference(rat,[],[s30,s31]) ).
cnf(s36,plain,
spl0_19,
inference(rat,[],[s18,s19]) ).
cnf(s37,plain,
spl0_26,
inference(rat,[],[s25,s36]) ).
cnf(s38,plain,
spl0_27,
inference(rat,[],[s32,s31,s37]) ).
cnf(s39,plain,
spl0_28,
inference(rat,[],[s28,s38]) ).
cnf(s40,plain,
~ spl0_13,
inference(rat,[],[s34,s15]) ).
cnf(s42,plain,
~ spl0_14,
inference(rat,[],[s12,s40]) ).
cnf(s43,plain,
~ spl0_22,
inference(rat,[],[s33,s31,s39,s42]) ).
cnf(s44,plain,
~ spl0_21,
inference(rat,[],[s22,s43]) ).
cnf(s45,plain,
~ spl0_3,
inference(rat,[],[s35,s44]) ).
cnf(s49,plain,
$false,
inference(rat,[],[s2,s3,s45]) ).
fof(f321,plain,
$false,
inference(avatar_sat_refutation,[],[s49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV005-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n015.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 : Sun Sep 27 10:56:30 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 2.45/1.16 % (1484808)Input is clausal, will run a generic CNF schedule.
% 2.45/1.16 % (1484819)dis-21_1_sil=8000:lcm=predicate:random_seed=3572543393: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)
% 2.45/1.16 % (1484819)First to succeed.
% 2.45/1.16 % (1484819)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1484808"
% 2.45/1.16 % (1484815)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1468900464:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.45/1.16 % (1484816)lrs+10_1_sil=8000:sp=occurrence:random_seed=1019322908:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.45/1.16 % (1484814)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2763897986:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.45/1.16 % (1484817)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=123176445:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.45/1.16 % (1484818)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1244058851:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.45/1.16 % (1484813)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=2874487549:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.45/1.16 % (1484817)Refutation not found, incomplete strategy
% 2.45/1.16 % (1484817)------------------------------
% 2.45/1.16 % (1484817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.45/1.16 % (1484817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/1.16 % (1484817)CaDiCaL version: 2.1.3
% 2.45/1.16 % (1484817)Termination reason: Refutation not found, incomplete strategy
% 2.45/1.16 % (1484817)Time elapsed: 0.003 s
% 2.45/1.16 % (1484817)Peak memory usage: 87 MB
% 2.45/1.16 % (1484817)Instructions burned: 3 (million)
% 2.45/1.16 % (1484818)Also succeeded, but the first one will report.
% 2.45/1.16 % (1484816)Instruction limit reached!
% 2.45/1.16 % (1484816)------------------------------
% 2.45/1.16 % (1484816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.45/1.16 % (1484816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/1.16 % (1484816)CaDiCaL version: 2.1.3
% 2.45/1.16 % (1484816)Termination reason: Instruction limit
% 2.45/1.16 % (1484816)Termination phase: Saturation
% 2.45/1.16 % (1484816)Time elapsed: 0.059 s
% 2.45/1.16 % (1484816)Peak memory usage: 88 MB
% 2.45/1.16 % (1484816)Instructions burned: 107 (million)
% 2.45/1.16 % (1484819)Refutation found. Thanks to Tanya!
% 2.45/1.16 % SZS status Unsatisfiable for theBenchmark
% 2.45/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.83/1.36 % (1484819)------------------------------
% 2.83/1.36 % (1484819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.36 % (1484819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.36 % (1484819)CaDiCaL version: 2.1.3
% 2.83/1.36 % (1484819)Termination reason: Refutation
% 2.83/1.36 % (1484819)Time elapsed: 0.004 s
% 2.83/1.36 % (1484819)Peak memory usage: 89 MB
% 2.83/1.36 % (1484819)Instructions burned: 8 (million)
% 2.83/1.36 % (1484819)------------------------------
% 2.83/1.36 % (1484819)------------------------------
% 2.83/1.36 % (1484808)Success in time 0.317 s
% 2.83/1.36 % Vampire exiting
%------------------------------------------------------------------------------