%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP128-4.003 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 10:12:58 AM UTC 2026
% Result : Unsatisfiable 0.54s 0.93s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 23
% Syntax : Number of formulae : 104 ( 18 unt; 9 def)
% Number of atoms : 260 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 292 ( 136 ~; 147 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 10 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 64 ( 0 sgn 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( product(e_3,X0,X1)
| ~ group_element(X1)
| product(e_1,X0,X1)
| product(e_2,X0,X1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',row_surjectivity) ).
fof(f2,axiom,
! [X0,X1] :
( product(X0,e_3,X1)
| ~ group_element(X1)
| product(X0,e_1,X1)
| product(X0,e_2,X1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',column_surjectivity) ).
fof(f3,negated_conjecture,
! [X2,X3,X0,X1] :
( product(X0,X1,X2)
| ~ product(X0,X2,X3)
| ~ product(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3_1) ).
fof(f4,negated_conjecture,
! [X2,X3,X0,X1] :
( product(X0,X1,X2)
| ~ product(X3,X0,X2)
| ~ product(X3,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3_2) ).
fof(f5,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
fof(f6,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
fof(f7,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
fof(f8,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f11,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f14,axiom,
! [X0,X1] :
( product(X0,X1,e_3)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| ~ group_element(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f17,axiom,
! [X2,X3,X0,X1] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f18,negated_conjecture,
! [X2,X3,X0,X1] :
( product(X0,X2,X3)
| ~ product(X2,X1,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
fof(f19,plain,
! [X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[],[f8,f17]) ).
fof(f20,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[],[f8,f16]) ).
fof(f21,plain,
! [X0,X1] :
( ~ product(X0,X1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[],[f8,f15]) ).
fof(f28,plain,
! [X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[],[f11,f17]) ).
fof(f30,plain,
! [X0,X1] :
( ~ product(X0,X1,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[],[f11,f15]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ product(e_2,X2,X0)
| ~ product(X0,X2,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[],[f19,f18]) ).
fof(f56,plain,
! [X0] :
( ~ product(e_2,X0,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(factoring,[],[f37]) ).
fof(f58,definition,
( spl0_1
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f60,plain,
( ~ product(e_1,e_2,e_2)
| spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f62,definition,
( spl0_2
<=> ! [X0] : ~ product(e_2,X0,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f63,plain,
( ! [X0] : ~ product(e_2,X0,e_2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f64,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f56,f62,f58]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ product(X1,X2,e_2)
| ~ product(X0,X1,e_1)
| ~ product(X0,X2,X1) ),
inference(resolution,[],[f21,f18]) ).
fof(f75,plain,
( ! [X0] :
( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) )
| spl0_1 ),
inference(resolution,[],[f60,f4]) ).
fof(f87,plain,
( ~ product(e_3,e_1,e_2)
| ~ group_element(e_1)
| product(e_1,e_2,e_1)
| product(e_2,e_2,e_1)
| ~ group_element(e_2)
| spl0_1 ),
inference(resolution,[],[f75,f1]) ).
fof(f88,plain,
( ~ product(e_3,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_2,e_1)
| ~ group_element(e_2)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f87,f5]) ).
fof(f89,plain,
( ~ product(e_3,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_2,e_1)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f88,f6]) ).
fof(f91,definition,
( spl0_3
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f95,definition,
( spl0_4
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f97,plain,
( product(e_1,e_2,e_1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f99,definition,
( spl0_5
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f101,plain,
( ~ product(e_3,e_1,e_2)
| spl0_5 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl0_3
| spl0_4
| ~ spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f89,f58,f99,f95,f91]) ).
fof(f121,definition,
( spl0_7
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f122,plain,
( ~ product(e_1,e_1,e_2)
| spl0_7 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f132,plain,
( ~ product(e_1,e_1,e_2)
| spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f97,f75]) ).
fof(f135,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_4 ),
inference(resolution,[],[f97,f20]) ).
fof(f136,plain,
( ~ spl0_7
| spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f132,f95,f58,f121]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ product(e_2,X2,X0)
| ~ product(X0,X2,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[],[f28,f18]) ).
fof(f167,plain,
( ! [X0] :
( ~ product(e_1,e_1,X0)
| ~ product(e_1,e_1,X0) )
| ~ spl0_4 ),
inference(resolution,[],[f135,f3]) ).
fof(f168,plain,
( ! [X0] : ~ product(e_1,e_1,X0)
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f167]) ).
fof(f172,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,e_2)
| ~ product(X1,X2,e_3)
| ~ product(X0,X2,X1) ),
inference(resolution,[],[f30,f18]) ).
fof(f219,plain,
( ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| ~ group_element(e_1)
| ~ spl0_4 ),
inference(resolution,[],[f168,f14]) ).
fof(f220,plain,
( ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f221,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f220,f5]) ).
fof(f222,plain,
( product(e_1,e_1,e_2)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f221,f135]) ).
fof(f223,plain,
( $false
| ~ spl0_4
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f222,f122]) ).
fof(f224,plain,
( ~ spl0_4
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f279,plain,
( ~ group_element(e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| ~ group_element(e_2)
| ~ spl0_2 ),
inference(resolution,[],[f63,f2]) ).
fof(f280,plain,
( ~ group_element(e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f279]) ).
fof(f292,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f280,f6]) ).
fof(f293,plain,
( product(e_2,e_1,e_2)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f292,f63]) ).
fof(f294,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f293,f63]) ).
fof(f295,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f343,plain,
! [X0] :
( ~ product(e_2,X0,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(factoring,[],[f67]) ).
fof(f348,plain,
( ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f343,f62,f91]) ).
fof(f427,definition,
( spl0_17
<=> ! [X0] : ~ product(e_3,X0,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f428,plain,
( ! [X0] : ~ product(e_3,X0,e_3)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f499,plain,
( ~ group_element(e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_3)
| ~ group_element(e_3)
| ~ spl0_17 ),
inference(resolution,[],[f428,f2]) ).
fof(f500,plain,
( ~ group_element(e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_3)
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f499]) ).
fof(f501,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_2,e_3)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f500,f7]) ).
fof(f504,plain,
( product(e_3,e_1,e_3)
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f501,f428]) ).
fof(f505,plain,
( $false
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f504,f428]) ).
fof(f506,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f505]) ).
fof(f591,plain,
! [X0] :
( ~ product(e_2,X0,e_2)
| ~ product(e_3,e_2,e_2) ),
inference(factoring,[],[f146]) ).
fof(f593,definition,
( spl0_25
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f595,plain,
( ~ product(e_3,e_2,e_2)
| spl0_25 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f596,plain,
( ~ spl0_25
| spl0_2 ),
inference(avatar_split_clause,[],[f591,f62,f593]) ).
fof(f780,definition,
( spl0_32
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f781,plain,
( product(e_3,e_3,e_2)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f782,plain,
( ~ product(e_3,e_3,e_2)
| spl0_32 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f795,plain,
( ~ group_element(e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_2)
| ~ group_element(e_3)
| spl0_32 ),
inference(resolution,[],[f782,f2]) ).
fof(f799,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_2,e_2)
| ~ group_element(e_3)
| spl0_32 ),
inference(forward_subsumption_resolution,[],[f795,f6]) ).
fof(f801,plain,
( product(e_3,e_2,e_2)
| ~ group_element(e_3)
| spl0_5
| spl0_32 ),
inference(forward_subsumption_resolution,[],[f799,f101]) ).
fof(f803,plain,
( ~ group_element(e_3)
| spl0_5
| spl0_25
| spl0_32 ),
inference(forward_subsumption_resolution,[],[f801,f595]) ).
fof(f805,plain,
( $false
| spl0_5
| spl0_25
| spl0_32 ),
inference(forward_subsumption_resolution,[],[f803,f7]) ).
fof(f806,plain,
( spl0_5
| spl0_25
| spl0_32 ),
inference(avatar_contradiction_clause,[],[f805]) ).
fof(f811,plain,
( ! [X0] :
( ~ product(e_3,X0,e_3)
| ~ product(e_3,X0,e_3) )
| ~ spl0_32 ),
inference(resolution,[],[f781,f172]) ).
fof(f824,plain,
( ! [X0] : ~ product(e_3,X0,e_3)
| ~ spl0_32 ),
inference(duplicate_literal_removal,[],[f811]) ).
fof(f826,plain,
( spl0_17
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f824,f780,f427]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f64]) ).
cnf(s2,plain,
( spl0_1
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f102]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(sat_conversion,[],[f136]) ).
cnf(s8,plain,
( ~ spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f224]) ).
cnf(s13,plain,
~ spl0_2,
inference(sat_conversion,[],[f295]) ).
cnf(s20,plain,
( spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f348]) ).
cnf(s31,plain,
~ spl0_17,
inference(sat_conversion,[],[f506]) ).
cnf(s40,plain,
( spl0_2
| ~ spl0_25 ),
inference(sat_conversion,[],[f596]) ).
cnf(s52,plain,
( spl0_5
| spl0_25
| spl0_32 ),
inference(sat_conversion,[],[f806]) ).
cnf(s53,plain,
( spl0_17
| ~ spl0_32 ),
inference(sat_conversion,[],[f826]) ).
cnf(s54,plain,
~ spl0_32,
inference(rat,[],[s53,s31]) ).
cnf(s58,plain,
~ spl0_25,
inference(rat,[],[s40,s13]) ).
cnf(s59,plain,
~ spl0_3,
inference(rat,[],[s20,s13]) ).
cnf(s61,plain,
spl0_5,
inference(rat,[],[s52,s54,s58]) ).
cnf(s63,plain,
( spl0_1
| spl0_4 ),
inference(rat,[],[s2,s61,s59]) ).
cnf(s64,plain,
~ spl0_1,
inference(rat,[],[s1,s13]) ).
cnf(s66,plain,
spl0_4,
inference(rat,[],[s63,s64]) ).
cnf(s68,plain,
spl0_7,
inference(rat,[],[s8,s66]) ).
cnf(s69,plain,
$false,
inference(rat,[],[s4,s64,s68,s66]) ).
fof(f827,plain,
$false,
inference(avatar_sat_refutation,[],[s69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP128-4.003 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n010.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 09:27:02 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.93 % (689629)Input is clausal, will run a generic CNF schedule.
% 0.54/0.93 % (689675)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=32223908:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 0.54/0.93 % (689672)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=386133964:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 0.54/0.93 % (689674)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1957015088:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 0.54/0.93 % (689670)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=3715551245:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 0.54/0.93 % (689673)lrs+10_1_sil=8000:sp=occurrence:random_seed=2153312150:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 0.54/0.93 % (689671)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2658914584:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 0.54/0.93 % (689676)dis-21_1_sil=8000:lcm=predicate:random_seed=4035220710:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 0.54/0.93 % (689673)Refutation not found, incomplete strategy
% 0.54/0.93 % (689673)------------------------------
% 0.54/0.93 % (689673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.54/0.93 % (689673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.93 % (689673)CaDiCaL version: 2.1.3
% 0.54/0.93 % (689673)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.93 % (689673)Time elapsed: 0.001 s
% 0.54/0.93 % (689673)Peak memory usage: 87 MB
% 0.54/0.93 % (689675)First to succeed.
% 0.54/0.93 % (689675)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-689629"
% 0.54/0.93 % (689676)Also succeeded, but the first one will report.
% 0.54/0.93 % (689674)Instruction limit reached!
% 0.54/0.93 % (689674)------------------------------
% 0.54/0.93 % (689674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.54/0.93 % (689674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.93 % (689674)CaDiCaL version: 2.1.3
% 0.54/0.93 % (689674)Termination reason: Instruction limit
% 0.54/0.93 % (689674)Termination phase: Saturation
% 0.54/0.93 % (689674)Time elapsed: 0.060 s
% 0.54/0.93 % (689674)Peak memory usage: 88 MB
% 0.54/0.93 % (689674)Instructions burned: 114 (million)
% 0.54/0.93 % (689675)Refutation found. Thanks to Tanya!
% 0.54/0.93 % SZS status Unsatisfiable for theBenchmark
% 0.54/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.13 % (689675)------------------------------
% 2.66/1.13 % (689675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.13 % (689675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.13 % (689675)CaDiCaL version: 2.1.3
% 2.66/1.13 % (689675)Termination reason: Refutation
% 2.66/1.13 % (689675)Time elapsed: 0.019 s
% 2.66/1.13 % (689675)Peak memory usage: 89 MB
% 2.66/1.13 % (689675)Instructions burned: 27 (million)
% 2.66/1.13 % (689675)------------------------------
% 2.66/1.13 % (689675)------------------------------
% 2.66/1.13 % (689629)Success in time 0.323 s
% 2.66/1.13 % Vampire exiting
%------------------------------------------------------------------------------