%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP039-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 10:12:12 AM UTC 2026
% Result : Unsatisfiable 5.47s 1.77s
% Output : Refutation 5.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of formulae : 81 ( 19 unt; 5 def)
% Number of atoms : 184 ( 16 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 194 ( 91 ~; 98 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 75 ( 0 sgn 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X2,X3,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X3,X4)
| ~ product(X0,X1,X2)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ product(X0,inverse(X1),X2)
| ~ subgroup_member(X1)
| ~ subgroup_member(X0)
| subgroup_member(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_product_and_inverse) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| X3 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X2)
| ~ product(X0,X1,X2)
| X1 = X3 ),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| X3 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f13,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,X2)
| ~ product(X0,X1,X2)
| X0 = X3 ),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X0] : inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_is_self_cancelling) ).
fof(f16,axiom,
! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subgroup_member_inverse_are_in_subgroup) ).
fof(f17,axiom,
! [X0,X1] :
( subgroup_member(element_in_O2(X0,X1))
| subgroup_member(X1)
| subgroup_member(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_element_in_O2) ).
fof(f18,axiom,
! [X0,X1] :
( product(X0,element_in_O2(X0,X1),X1)
| subgroup_member(X1)
| subgroup_member(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_O2) ).
fof(f19,negated_conjecture,
subgroup_member(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_in_subgroup) ).
fof(f20,negated_conjecture,
product(b,inverse(a),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
fof(f21,negated_conjecture,
product(a,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_c_is_d) ).
fof(f22,negated_conjecture,
~ subgroup_member(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d_is_in_subgroup) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ product(X2,X0,a)
| ~ product(X0,c,X1)
| product(X2,X1,d) ),
inference(resolution,[],[f21,f7]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ product(X0,d,X2)
| ~ product(X0,a,X1)
| product(X1,c,X2) ),
inference(resolution,[],[f21,f8]) ).
fof(f26,plain,
! [X0] :
( ~ product(a,X0,d)
| c = X0 ),
inference(resolution,[],[f21,f11]) ).
fof(f28,plain,
( ~ subgroup_member(a)
| ~ subgroup_member(b)
| subgroup_member(c) ),
inference(resolution,[],[f20,f9]) ).
fof(f31,plain,
! [X2,X0,X1] :
( product(X1,inverse(a),X2)
| ~ product(X0,c,X2)
| ~ product(X0,b,X1) ),
inference(resolution,[],[f20,f8]) ).
fof(f34,plain,
( ~ subgroup_member(a)
| subgroup_member(c) ),
inference(forward_subsumption_resolution,[],[f28,f19]) ).
fof(f36,definition,
( spl0_1
<=> subgroup_member(c) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f37,plain,
( subgroup_member(c)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f39,definition,
( spl0_2
<=> subgroup_member(a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f40,plain,
( ~ subgroup_member(a)
| spl0_2 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f41,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f34,f39,f36]) ).
fof(f46,plain,
( c = element_in_O2(a,d)
| subgroup_member(d)
| subgroup_member(a) ),
inference(resolution,[],[f26,f18]) ).
fof(f47,plain,
( c = element_in_O2(a,d)
| subgroup_member(a) ),
inference(forward_subsumption_resolution,[],[f46,f22]) ).
fof(f48,plain,
( c = element_in_O2(a,d)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f47,f40]) ).
fof(f49,plain,
( subgroup_member(c)
| subgroup_member(d)
| subgroup_member(a)
| spl0_2 ),
inference(superposition,[],[f17,f48]) ).
fof(f51,plain,
( subgroup_member(c)
| subgroup_member(a)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f49,f22]) ).
fof(f52,plain,
( subgroup_member(c)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f51,f40]) ).
fof(f53,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f52,f39,f36]) ).
fof(f69,plain,
! [X0] :
( ~ product(inverse(d),a,X0)
| product(X0,c,identity) ),
inference(resolution,[],[f25,f3]) ).
fof(f111,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,inverse(a),X1)
| ~ product(X0,b,X2)
| ~ product(X0,c,X1)
| X2 = X3 ),
inference(resolution,[],[f31,f13]) ).
fof(f185,plain,
product(multiply(inverse(d),a),c,identity),
inference(resolution,[],[f69,f5]) ).
fof(f189,plain,
! [X0] :
( ~ product(multiply(inverse(d),a),X0,identity)
| c = X0 ),
inference(resolution,[],[f185,f11]) ).
fof(f496,plain,
! [X0,X1] :
( ~ product(X0,c,identity)
| ~ product(X0,b,X1)
| a = X1 ),
inference(resolution,[],[f111,f4]) ).
fof(f946,plain,
! [X0] :
( ~ product(inverse(c),b,X0)
| a = X0 ),
inference(resolution,[],[f496,f3]) ).
fof(f948,plain,
a = multiply(inverse(c),b),
inference(resolution,[],[f946,f5]) ).
fof(f950,plain,
product(inverse(c),b,a),
inference(superposition,[],[f5,f948]) ).
fof(f953,plain,
! [X0] :
( product(inverse(c),X0,d)
| ~ product(b,c,X0) ),
inference(resolution,[],[f950,f24]) ).
fof(f1152,plain,
! [X0] :
( ~ product(b,c,inverse(X0))
| ~ subgroup_member(X0)
| ~ subgroup_member(inverse(c))
| subgroup_member(d) ),
inference(resolution,[],[f953,f9]) ).
fof(f1166,plain,
! [X0] :
( ~ product(b,c,inverse(X0))
| ~ subgroup_member(X0)
| ~ subgroup_member(inverse(c)) ),
inference(forward_subsumption_resolution,[],[f1152,f22]) ).
fof(f1217,definition,
( spl0_77
<=> subgroup_member(inverse(c)) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f1218,plain,
( ~ subgroup_member(inverse(c))
| spl0_77 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f1220,definition,
( spl0_78
<=> ! [X0] :
( ~ product(b,c,inverse(X0))
| ~ subgroup_member(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f1221,plain,
( ! [X0] :
( ~ product(b,c,inverse(X0))
| ~ subgroup_member(X0) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f1222,plain,
( ~ spl0_77
| spl0_78 ),
inference(avatar_split_clause,[],[f1166,f1220,f1217]) ).
fof(f1232,plain,
( ~ subgroup_member(c)
| spl0_77 ),
inference(resolution,[],[f1218,f16]) ).
fof(f1233,plain,
( $false
| ~ spl0_1
| spl0_77 ),
inference(forward_subsumption_resolution,[],[f1232,f37]) ).
fof(f1234,plain,
( ~ spl0_1
| spl0_77 ),
inference(avatar_contradiction_clause,[],[f1233]) ).
fof(f1245,plain,
( ! [X0] :
( ~ product(b,c,X0)
| ~ subgroup_member(inverse(X0)) )
| ~ spl0_78 ),
inference(superposition,[],[f1221,f14]) ).
fof(f1247,plain,
( ~ subgroup_member(inverse(multiply(b,c)))
| ~ spl0_78 ),
inference(resolution,[],[f1245,f5]) ).
fof(f1248,plain,
( ~ subgroup_member(multiply(b,c))
| ~ spl0_78 ),
inference(resolution,[],[f1247,f16]) ).
fof(f1967,plain,
c = inverse(multiply(inverse(d),a)),
inference(resolution,[],[f189,f4]) ).
fof(f1981,plain,
! [X0,X1] :
( ~ product(X0,c,X1)
| ~ subgroup_member(multiply(inverse(d),a))
| ~ subgroup_member(X0)
| subgroup_member(X1) ),
inference(superposition,[],[f9,f1967]) ).
fof(f1982,plain,
inverse(c) = multiply(inverse(d),a),
inference(superposition,[],[f14,f1967]) ).
fof(f2312,plain,
! [X0,X1] :
( ~ subgroup_member(inverse(c))
| ~ product(X0,c,X1)
| ~ subgroup_member(X0)
| subgroup_member(X1) ),
inference(forward_demodulation,[],[f1981,f1982]) ).
fof(f2314,definition,
( spl0_152
<=> ! [X0,X1] :
( ~ product(X0,c,X1)
| subgroup_member(X1)
| ~ subgroup_member(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f2315,plain,
( ! [X0,X1] :
( ~ product(X0,c,X1)
| subgroup_member(X1)
| ~ subgroup_member(X0) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f2314]) ).
fof(f2316,plain,
( spl0_152
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f2312,f1217,f2314]) ).
fof(f2327,plain,
( ! [X0] :
( subgroup_member(multiply(X0,c))
| ~ subgroup_member(X0) )
| ~ spl0_152 ),
inference(resolution,[],[f2315,f5]) ).
fof(f2526,plain,
( ~ subgroup_member(b)
| ~ spl0_78
| ~ spl0_152 ),
inference(resolution,[],[f2327,f1248]) ).
fof(f2535,plain,
( $false
| ~ spl0_78
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f2526,f19]) ).
fof(f2536,plain,
( ~ spl0_78
| ~ spl0_152 ),
inference(avatar_contradiction_clause,[],[f2535]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f41]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f53]) ).
cnf(s76,plain,
( ~ spl0_77
| spl0_78 ),
inference(sat_conversion,[],[f1222]) ).
cnf(s80,plain,
( ~ spl0_1
| spl0_77 ),
inference(sat_conversion,[],[f1234]) ).
cnf(s162,plain,
( ~ spl0_77
| spl0_152 ),
inference(sat_conversion,[],[f2316]) ).
cnf(s193,plain,
( ~ spl0_78
| ~ spl0_152 ),
inference(sat_conversion,[],[f2536]) ).
cnf(s216,plain,
spl0_1,
inference(rat,[],[s1,s2]) ).
cnf(s217,plain,
spl0_77,
inference(rat,[],[s80,s216]) ).
cnf(s219,plain,
spl0_152,
inference(rat,[],[s162,s217]) ).
cnf(s220,plain,
spl0_78,
inference(rat,[],[s76,s217]) ).
cnf(s229,plain,
$false,
inference(rat,[],[s193,s219,s220]) ).
fof(f2537,plain,
$false,
inference(avatar_sat_refutation,[],[s229]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP039-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n004.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 09:15:52 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 3.92/1.56 % (3236298)Input is clausal, will run a generic CNF schedule.
% 3.92/1.56 % (3236366)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1895147232:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.92/1.56 % (3236370)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3870887394:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.92/1.56 % (3236369)lrs+10_1_sil=8000:sp=occurrence:random_seed=3525721694:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.92/1.56 % (3236371)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=870477370:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.92/1.56 % (3236373)dis-21_1_sil=8000:lcm=predicate:random_seed=2077633038: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)
% 3.92/1.56 % (3236364)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=3468131202:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.92/1.56 % (3236373)Instruction limit reached!
% 3.92/1.56 % (3236373)------------------------------
% 3.92/1.56 % (3236373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.56 % (3236373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.56 % (3236373)CaDiCaL version: 2.1.3
% 3.92/1.56 % (3236373)Termination reason: Instruction limit
% 3.92/1.56 % (3236373)Termination phase: Saturation
% 3.92/1.56 % (3236373)Time elapsed: 0.055 s
% 3.92/1.56 % (3236373)Peak memory usage: 88 MB
% 3.92/1.56 % (3236373)Instructions burned: 118 (million)
% 3.92/1.56 % (3236370)Instruction limit reached!
% 3.92/1.56 % (3236370)------------------------------
% 3.92/1.56 % (3236370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.56 % (3236370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.56 % (3236370)CaDiCaL version: 2.1.3
% 3.92/1.56 % (3236370)Termination reason: Instruction limit
% 3.92/1.56 % (3236370)Termination phase: Saturation
% 3.92/1.56 % (3236370)Time elapsed: 0.073 s
% 3.92/1.56 % (3236370)Peak memory usage: 88 MB
% 3.92/1.56 % (3236370)Instructions burned: 115 (million)
% 3.92/1.56 % (3236369)Instruction limit reached!
% 3.92/1.56 % (3236369)------------------------------
% 3.92/1.56 % (3236369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.56 % (3236369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.56 % (3236369)CaDiCaL version: 2.1.3
% 3.92/1.56 % (3236369)Termination reason: Instruction limit
% 3.92/1.56 % (3236369)Termination phase: Saturation
% 3.92/1.56 % (3236369)Time elapsed: 0.074 s
% 3.92/1.56 % (3236369)Peak memory usage: 88 MB
% 3.92/1.56 % (3236369)Instructions burned: 107 (million)
% 3.92/1.56 % (3236367)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2157130721:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.92/1.56 % (3236371)Instruction limit reached!
% 3.92/1.56 % (3236371)------------------------------
% 3.92/1.56 % (3236371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.56 % (3236371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.56 % (3236371)CaDiCaL version: 2.1.3
% 3.92/1.56 % (3236371)Termination reason: Instruction limit
% 3.92/1.56 % (3236371)Termination phase: Saturation
% 3.92/1.56 % (3236371)Time elapsed: 0.110 s
% 3.92/1.56 % (3236371)Peak memory usage: 89 MB
% 3.92/1.56 % (3236371)Instructions burned: 181 (million)
% 3.92/1.56 % (3236385)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=1103151960:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.92/1.56 % (3236386)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2310218179:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.92/1.56 % (3236387)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2286084383:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.92/1.56 % (3236389)lrs+10_64_to=lpo:sil=8000:random_seed=2920504902:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 3.92/1.56 % (3236385)First to succeed.
% 3.92/1.56 % (3236385)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3236298"
% 5.47/1.77 % (3236389)Also succeeded, but the first one will report.
% 5.47/1.77 % (3236386)Instruction limit reached!
% 5.47/1.77 % (3236386)------------------------------
% 5.47/1.77 % (3236386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.77 % (3236386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.77 % (3236386)CaDiCaL version: 2.1.3
% 5.47/1.77 % (3236386)Termination reason: Instruction limit
% 5.47/1.77 % (3236386)Termination phase: Saturation
% 5.47/1.77 % (3236386)Time elapsed: 0.101 s
% 5.47/1.77 % (3236386)Peak memory usage: 88 MB
% 5.47/1.77 % (3236386)Instructions burned: 189 (million)
% 5.47/1.77 % (3236387)Instruction limit reached!
% 5.47/1.77 % (3236387)------------------------------
% 5.47/1.77 % (3236387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.77 % (3236387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.77 % (3236387)CaDiCaL version: 2.1.3
% 5.47/1.77 % (3236387)Termination reason: Instruction limit
% 5.47/1.77 % (3236387)Termination phase: Saturation
% 5.47/1.77 % (3236387)Time elapsed: 0.131 s
% 5.47/1.77 % (3236387)Peak memory usage: 89 MB
% 5.47/1.77 % (3236387)Instructions burned: 220 (million)
% 5.47/1.77 % (3236394)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1616563916:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 5.47/1.77 % (3236385)Refutation found. Thanks to Tanya!
% 5.47/1.77 % SZS status Unsatisfiable for theBenchmark
% 5.47/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 5.47/1.77 % (3236385)------------------------------
% 5.47/1.77 % (3236385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.77 % (3236385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.77 % (3236385)CaDiCaL version: 2.1.3
% 5.47/1.77 % (3236385)Termination reason: Refutation
% 5.47/1.77 % (3236385)Time elapsed: 0.073 s
% 5.47/1.77 % (3236385)Peak memory usage: 90 MB
% 5.47/1.77 % (3236385)Instructions burned: 102 (million)
% 5.47/1.77 % (3236385)------------------------------
% 5.47/1.77 % (3236385)------------------------------
% 5.47/1.77 % (3236298)Success in time 0.701 s
% 5.47/1.77 % Vampire exiting
%------------------------------------------------------------------------------