%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP040-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 10:12:13 AM UTC 2026
% Result : Unsatisfiable 3.85s 1.23s
% Output : Refutation 4.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of formulae : 83 ( 18 unt; 6 def)
% Number of atoms : 226 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 271 ( 128 ~; 137 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X4,X5)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X2,X3,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',closure_of_product_and_inverse) ).
fof(f10,axiom,
! [X0,X1] :
( subgroup_member(element_in_O2(X0,X1))
| subgroup_member(X1)
| subgroup_member(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_element_in_O2) ).
fof(f11,axiom,
! [X0,X1] :
( product(X0,element_in_O2(X0,X1),X1)
| subgroup_member(X1)
| subgroup_member(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_O2) ).
fof(f12,axiom,
~ subgroup_member(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_in_subgroup) ).
fof(f13,axiom,
subgroup_member(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_in_subgroup) ).
fof(f14,axiom,
~ subgroup_member(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_in_subgroup) ).
fof(f15,axiom,
product(b,inverse(a),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
fof(f16,axiom,
product(a,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_c_is_d) ).
fof(f17,negated_conjecture,
! [X0] : inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_is_self_cancelling) ).
fof(f20,plain,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| ~ subgroup_member(inverse(X0))
| ~ subgroup_member(X1)
| subgroup_member(X2) ),
inference(superposition,[],[f9,f17]) ).
fof(f21,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X5,X4,X2)
| ~ subgroup_member(X1)
| subgroup_member(X2)
| ~ product(X3,X4,X0)
| ~ subgroup_member(inverse(X0))
| ~ product(X1,X3,X5) ),
inference(resolution,[],[f20,f7]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X5,X4,X2)
| ~ subgroup_member(X1)
| subgroup_member(X2)
| ~ product(X3,X0,X4)
| ~ subgroup_member(inverse(X0))
| ~ product(X5,X3,X1) ),
inference(resolution,[],[f20,f8]) ).
fof(f24,plain,
! [X0] :
( ~ subgroup_member(inverse(inverse(X0)))
| ~ subgroup_member(X0)
| subgroup_member(identity) ),
inference(resolution,[],[f20,f4]) ).
fof(f27,plain,
! [X0] :
( ~ subgroup_member(inverse(X0))
| ~ subgroup_member(identity)
| subgroup_member(X0) ),
inference(resolution,[],[f20,f1]) ).
fof(f31,definition,
( spl0_1
<=> subgroup_member(identity) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f32,plain,
( subgroup_member(identity)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f35,definition,
( spl0_2
<=> ! [X0] :
( ~ subgroup_member(inverse(X0))
| subgroup_member(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f36,plain,
( ! [X0] :
( ~ subgroup_member(inverse(X0))
| subgroup_member(X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f37,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f27,f35,f31]) ).
fof(f42,plain,
! [X0] :
( ~ subgroup_member(X0)
| ~ subgroup_member(X0)
| subgroup_member(identity) ),
inference(forward_demodulation,[],[f24,f17]) ).
fof(f43,plain,
! [X0] :
( ~ subgroup_member(X0)
| subgroup_member(identity) ),
inference(duplicate_literal_removal,[],[f42]) ).
fof(f45,definition,
( spl0_4
<=> ! [X0] : ~ subgroup_member(X0) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f46,plain,
( ! [X0] : ~ subgroup_member(X0)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f47,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f43,f45,f31]) ).
fof(f48,plain,
( ! [X0,X1] :
( subgroup_member(X0)
| subgroup_member(X1) )
| ~ spl0_4 ),
inference(resolution,[],[f46,f10]) ).
fof(f51,plain,
( ! [X0] : subgroup_member(X0)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f48,f46]) ).
fof(f52,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f51,f46]) ).
fof(f53,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f52]) ).
fof(f66,plain,
( ! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) )
| ~ spl0_2 ),
inference(superposition,[],[f36,f17]) ).
fof(f77,plain,
! [X2,X3,X0,X1] :
( ~ product(X2,X1,X3)
| subgroup_member(X1)
| ~ subgroup_member(X0)
| ~ subgroup_member(inverse(X3))
| ~ product(X0,X2,identity) ),
inference(resolution,[],[f21,f1]) ).
fof(f85,definition,
( spl0_5
<=> subgroup_member(c) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f86,plain,
( ~ subgroup_member(c)
| spl0_5 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( subgroup_member(c)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f100,definition,
( spl0_7
<=> subgroup_member(inverse(a)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f101,plain,
( subgroup_member(inverse(a))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f102,plain,
( ~ subgroup_member(inverse(a))
| spl0_7 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f125,definition,
( spl0_13
<=> subgroup_member(inverse(c)) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f126,plain,
( subgroup_member(inverse(c))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( ~ subgroup_member(inverse(c))
| spl0_13 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ subgroup_member(X0)
| subgroup_member(d)
| ~ product(X1,X2,c)
| ~ subgroup_member(inverse(X2))
| ~ product(a,X1,X0) ),
inference(resolution,[],[f22,f16]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ product(a,X1,X0)
| ~ product(X1,X2,c)
| ~ subgroup_member(inverse(X2))
| ~ subgroup_member(X0) ),
inference(forward_subsumption_resolution,[],[f139,f14]) ).
fof(f286,plain,
( ~ subgroup_member(c)
| ~ spl0_2
| spl0_13 ),
inference(resolution,[],[f127,f66]) ).
fof(f291,plain,
! [X0] :
( ~ product(inverse(a),X0,c)
| ~ subgroup_member(inverse(X0))
| ~ subgroup_member(identity) ),
inference(resolution,[],[f145,f4]) ).
fof(f294,plain,
( ! [X0] :
( ~ product(inverse(a),X0,c)
| ~ subgroup_member(inverse(X0)) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f291,f32]) ).
fof(f341,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f286,f87]) ).
fof(f342,plain,
( ~ spl0_2
| ~ spl0_5
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f353,plain,
( subgroup_member(a)
| ~ spl0_2
| ~ spl0_7 ),
inference(resolution,[],[f101,f36]) ).
fof(f354,plain,
( $false
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f353,f12]) ).
fof(f355,plain,
( ~ spl0_2
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f372,plain,
! [X0] :
( subgroup_member(inverse(a))
| ~ subgroup_member(X0)
| ~ subgroup_member(inverse(c))
| ~ product(X0,b,identity) ),
inference(resolution,[],[f77,f15]) ).
fof(f402,plain,
( ~ subgroup_member(inverse(element_in_O2(inverse(a),c)))
| subgroup_member(c)
| subgroup_member(inverse(a))
| ~ spl0_1 ),
inference(resolution,[],[f294,f11]) ).
fof(f403,plain,
( ~ subgroup_member(inverse(element_in_O2(inverse(a),c)))
| subgroup_member(inverse(a))
| ~ spl0_1
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f402,f86]) ).
fof(f404,plain,
( ~ subgroup_member(inverse(element_in_O2(inverse(a),c)))
| ~ spl0_1
| spl0_5
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f403,f102]) ).
fof(f413,plain,
( ~ subgroup_member(element_in_O2(inverse(a),c))
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_7 ),
inference(resolution,[],[f404,f66]) ).
fof(f422,plain,
( subgroup_member(c)
| subgroup_member(inverse(a))
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_7 ),
inference(resolution,[],[f413,f10]) ).
fof(f423,plain,
( subgroup_member(inverse(a))
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f422,f86]) ).
fof(f424,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f423,f102]) ).
fof(f425,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f424]) ).
fof(f427,plain,
( ! [X0] :
( ~ subgroup_member(X0)
| ~ subgroup_member(inverse(c))
| ~ product(X0,b,identity) )
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f372,f102]) ).
fof(f430,plain,
( ! [X0] :
( ~ product(X0,b,identity)
| ~ subgroup_member(X0) )
| spl0_7
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f427,f126]) ).
fof(f487,plain,
( ~ subgroup_member(inverse(b))
| spl0_7
| ~ spl0_13 ),
inference(resolution,[],[f430,f3]) ).
fof(f503,plain,
( ~ subgroup_member(b)
| ~ spl0_2
| spl0_7
| ~ spl0_13 ),
inference(resolution,[],[f487,f66]) ).
fof(f504,plain,
( $false
| ~ spl0_2
| spl0_7
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f503,f13]) ).
fof(f505,plain,
( ~ spl0_2
| spl0_7
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f504]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f37]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f47]) ).
cnf(s5,plain,
~ spl0_4,
inference(sat_conversion,[],[f53]) ).
cnf(s31,plain,
( ~ spl0_2
| ~ spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f342]) ).
cnf(s33,plain,
( ~ spl0_2
| ~ spl0_7 ),
inference(sat_conversion,[],[f355]) ).
cnf(s34,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f425]) ).
cnf(s37,plain,
( ~ spl0_2
| spl0_7
| ~ spl0_13 ),
inference(sat_conversion,[],[f505]) ).
cnf(s39,plain,
spl0_1,
inference(rat,[],[s3,s5]) ).
cnf(s40,plain,
spl0_2,
inference(rat,[],[s1,s39]) ).
cnf(s41,plain,
~ spl0_7,
inference(rat,[],[s33,s40]) ).
cnf(s43,plain,
~ spl0_13,
inference(rat,[],[s37,s40,s41]) ).
cnf(s45,plain,
spl0_5,
inference(rat,[],[s34,s40,s39,s41]) ).
cnf(s47,plain,
$false,
inference(rat,[],[s31,s40,s43,s45]) ).
fof(f506,plain,
$false,
inference(avatar_sat_refutation,[],[s47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP040-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n010.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 09:16:47 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.85/1.23 % (679935)Input is clausal, will run a generic CNF schedule.
% 3.85/1.23 % (679945)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1565759031:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.85/1.23 % (679944)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3979745883:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.85/1.23 % (679943)lrs+10_1_sil=8000:sp=occurrence:random_seed=806425714:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.85/1.23 % (679940)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=2277292077:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.85/1.23 % (679946)dis-21_1_sil=8000:lcm=predicate:random_seed=204513482: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)
% 3.85/1.23 % (679941)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3349654268:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.85/1.23 % (679942)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3670967777:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.85/1.23 % (679946)Instruction limit reached!
% 3.85/1.23 % (679946)------------------------------
% 3.85/1.23 % (679946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.23 % (679946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.23 % (679946)CaDiCaL version: 2.1.3
% 3.85/1.23 % (679946)Termination reason: Instruction limit
% 3.85/1.23 % (679946)Termination phase: Saturation
% 3.85/1.23 % (679946)Time elapsed: 0.053 s
% 3.85/1.23 % (679946)Peak memory usage: 88 MB
% 3.85/1.23 % (679946)Instructions burned: 117 (million)
% 3.85/1.23 % (679944)Instruction limit reached!
% 3.85/1.23 % (679944)------------------------------
% 3.85/1.23 % (679944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.23 % (679944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.23 % (679944)CaDiCaL version: 2.1.3
% 3.85/1.23 % (679944)Termination reason: Instruction limit
% 3.85/1.23 % (679944)Termination phase: Saturation
% 3.85/1.23 % (679944)Time elapsed: 0.073 s
% 3.85/1.23 % (679944)Peak memory usage: 88 MB
% 3.85/1.23 % (679944)Instructions burned: 114 (million)
% 3.85/1.23 % (679943)Instruction limit reached!
% 3.85/1.23 % (679943)------------------------------
% 3.85/1.23 % (679943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.23 % (679943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.23 % (679943)CaDiCaL version: 2.1.3
% 3.85/1.23 % (679943)Termination reason: Instruction limit
% 3.85/1.23 % (679943)Termination phase: Saturation
% 3.85/1.23 % (679943)Time elapsed: 0.073 s
% 3.85/1.23 % (679943)Peak memory usage: 89 MB
% 3.85/1.23 % (679943)Instructions burned: 107 (million)
% 3.85/1.23 % (679945)Instruction limit reached!
% 3.85/1.23 % (679945)------------------------------
% 3.85/1.23 % (679945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.23 % (679945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.23 % (679945)CaDiCaL version: 2.1.3
% 3.85/1.23 % (679945)Termination reason: Instruction limit
% 3.85/1.23 % (679945)Termination phase: Saturation
% 3.85/1.23 % (679945)Time elapsed: 0.118 s
% 3.85/1.23 % (679945)Peak memory usage: 89 MB
% 3.85/1.23 % (679945)Instructions burned: 181 (million)
% 3.85/1.23 % (679954)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=3318768027:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.85/1.23 % (679955)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1047666373: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)
% 3.85/1.23 % (679956)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2070856859:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.85/1.23 % (679956)First to succeed.
% 3.85/1.23 % (679956)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-679935"
% 3.85/1.23 % (679957)lrs+10_64_to=lpo:sil=8000:random_seed=2397395574:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 3.85/1.23 % (679954)Instruction limit reached!
% 3.85/1.23 % (679954)------------------------------
% 3.85/1.23 % (679954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.23 % (679954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.23 % (679954)CaDiCaL version: 2.1.3
% 3.85/1.23 % (679954)Termination reason: Instruction limit
% 3.85/1.23 % (679954)Termination phase: Saturation
% 3.85/1.23 % (679954)Time elapsed: 0.094 s
% 3.85/1.23 % (679954)Peak memory usage: 89 MB
% 3.85/1.23 % (679954)Instructions burned: 143 (million)
% 3.85/1.23 % (679957)Instruction limit reached!
% 3.85/1.23 % (679957)------------------------------
% 3.85/1.23 % (679957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.23 % (679957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.23 % (679957)CaDiCaL version: 2.1.3
% 3.85/1.23 % (679957)Termination reason: Instruction limit
% 3.85/1.23 % (679957)Termination phase: Saturation
% 3.85/1.23 % (679957)Time elapsed: 0.050 s
% 3.85/1.23 % (679957)Peak memory usage: 89 MB
% 3.85/1.23 % (679957)Instructions burned: 128 (million)
% 3.85/1.23 % (679955)Instruction limit reached!
% 3.85/1.23 % (679955)------------------------------
% 3.85/1.23 % (679955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.23 % (679955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.23 % (679955)CaDiCaL version: 2.1.3
% 3.85/1.23 % (679955)Termination reason: Instruction limit
% 3.85/1.23 % (679955)Termination phase: Saturation
% 3.85/1.23 % (679955)Time elapsed: 0.101 s
% 3.85/1.23 % (679955)Peak memory usage: 90 MB
% 3.85/1.23 % (679955)Instructions burned: 190 (million)
% 3.85/1.23 % (679963)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3678405412:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 3.85/1.23 % (679962)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=479925769:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 3.85/1.23 % (679964)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1961738833:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 3.85/1.23 % (679963)Also succeeded, but the first one will report.
% 3.85/1.23 % (679956)Refutation found. Thanks to Tanya!
% 3.85/1.23 % SZS status Unsatisfiable for theBenchmark
% 3.85/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 4.71/1.42 % (679956)------------------------------
% 4.71/1.42 % (679956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.71/1.42 % (679956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.71/1.42 % (679956)CaDiCaL version: 2.1.3
% 4.71/1.42 % (679956)Termination reason: Refutation
% 4.71/1.42 % (679956)Time elapsed: 0.019 s
% 4.71/1.42 % (679956)Peak memory usage: 89 MB
% 4.71/1.42 % (679956)Instructions burned: 30 (million)
% 4.71/1.42 % (679956)------------------------------
% 4.71/1.42 % (679956)------------------------------
% 4.71/1.42 % (679935)Success in time 0.607 s
% 4.71/1.42 % Vampire exiting
%------------------------------------------------------------------------------