%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP098-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 10:12:34 AM UTC 2026
% Result : Unsatisfiable 5.36s 1.77s
% Output : Refutation 6.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 7
% Syntax : Number of formulae : 67 ( 41 unt; 4 def)
% Number of atoms : 103 ( 60 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 69 ( 33 ~; 32 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 77 ( 0 sgn 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,inverse(X1)),X2),divide(X0,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,plain,
! [X0,X1] : divide(X0,inverse(X1)) = multiply(X0,X1),
inference(reorient_equations,[],[f2]) ).
fof(f4,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f5,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(reorient_equations,[],[f4]) ).
fof(f6,plain,
( divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1))
| a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2))
| divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3))))
| divide(a4,inverse(b4)) != divide(b4,inverse(a4)) ),
inference(definition_unfolding,[],[f5,f3,f3,f3,f3,f3,f3,f3,f3,f3,f3]) ).
fof(f8,definition,
( spl0_1
<=> divide(a4,inverse(b4)) = divide(b4,inverse(a4)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f10,plain,
( divide(a4,inverse(b4)) != divide(b4,inverse(a4))
| spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f12,definition,
( spl0_2
<=> divide(divide(a3,inverse(b3)),inverse(c3)) = divide(a3,inverse(divide(b3,inverse(c3)))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f14,plain,
( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3))))
| spl0_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f16,definition,
( spl0_3
<=> a2 = divide(divide(inverse(b2),inverse(b2)),inverse(a2)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f18,plain,
( a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2))
| spl0_3 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f20,definition,
( spl0_4
<=> divide(inverse(a1),inverse(a1)) = divide(inverse(b1),inverse(b1)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f22,plain,
( divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1))
| spl0_4 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f23,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f6,f20,f16,f12,f8]) ).
fof(f24,plain,
! [X2,X0,X1] : divide(X0,divide(divide(X1,inverse(X0)),divide(X1,inverse(X2)))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f25,plain,
! [X2,X3,X0,X1] : divide(divide(divide(divide(divide(X1,inverse(X0)),X2),inverse(X3)),divide(X1,X2)),X0) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f31,plain,
! [X2,X3,X0,X1] : divide(divide(X0,divide(divide(divide(X1,inverse(inverse(X2))),X3),divide(X1,X3))),X0) = X2,
inference(superposition,[],[f25,f25]) ).
fof(f39,plain,
! [X2,X0] : divide(divide(X0,inverse(X2)),X0) = X2,
inference(forward_demodulation,[],[f31,f1]) ).
fof(f45,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(superposition,[],[f1,f39]) ).
fof(f48,plain,
! [X2,X0,X1] : divide(X1,divide(X0,divide(divide(inverse(X1),inverse(X0)),inverse(X2)))) = X2,
inference(superposition,[],[f24,f39]) ).
fof(f58,plain,
! [X0,X1] : divide(divide(X0,X0),inverse(X1)) = X1,
inference(superposition,[],[f39,f45]) ).
fof(f74,plain,
! [X2,X0,X1] : divide(X0,divide(X0,divide(divide(X1,X1),inverse(X2)))) = X2,
inference(superposition,[],[f24,f58]) ).
fof(f77,plain,
! [X2,X0,X1] : divide(divide(divide(divide(X1,X1),inverse(X2)),inverse(X0)),X0) = X2,
inference(superposition,[],[f1,f58]) ).
fof(f80,plain,
! [X2,X0] : divide(divide(X2,inverse(X0)),X0) = X2,
inference(forward_demodulation,[],[f77,f58]) ).
fof(f82,plain,
! [X2,X0] : divide(X0,divide(X0,X2)) = X2,
inference(forward_demodulation,[],[f74,f58]) ).
fof(f87,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(superposition,[],[f82,f58]) ).
fof(f90,plain,
! [X0,X1] : divide(X1,X1) = divide(X0,X0),
inference(superposition,[],[f82,f45]) ).
fof(f104,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(backward_demodulation,[],[f58,f87]) ).
fof(f114,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X0),X1),
inference(superposition,[],[f39,f104]) ).
fof(f151,plain,
! [X0,X1] : inverse(X1) = divide(inverse(X0),divide(X1,X0)),
inference(superposition,[],[f114,f114]) ).
fof(f154,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(superposition,[],[f114,f82]) ).
fof(f161,plain,
! [X0,X1] : divide(inverse(X1),X0) = divide(inverse(X0),X1),
inference(superposition,[],[f80,f114]) ).
fof(f273,plain,
( divide(a4,inverse(b4)) != inverse(divide(inverse(a4),b4))
| spl0_1 ),
inference(superposition,[],[f10,f154]) ).
fof(f378,plain,
! [X0,X1] : divide(inverse(X0),inverse(X1)) = inverse(divide(X0,X1)),
inference(superposition,[],[f114,f151]) ).
fof(f383,plain,
! [X2,X0,X1] : divide(X1,divide(X0,divide(inverse(divide(X1,X0)),inverse(X2)))) = X2,
inference(backward_demodulation,[],[f48,f378]) ).
fof(f395,plain,
! [X2,X0,X1] : divide(X1,divide(X0,inverse(divide(divide(X1,X0),X2)))) = X2,
inference(forward_demodulation,[],[f383,f378]) ).
fof(f529,plain,
! [X0,X1] : inverse(divide(X0,inverse(X1))) = divide(inverse(X0),X1),
inference(superposition,[],[f154,f161]) ).
fof(f530,plain,
! [X0,X1] : divide(X0,inverse(X1)) = inverse(divide(inverse(X0),X1)),
inference(superposition,[],[f154,f161]) ).
fof(f540,plain,
( divide(a4,inverse(b4)) != divide(a4,inverse(b4))
| spl0_1 ),
inference(backward_demodulation,[],[f273,f530]) ).
fof(f542,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f540]) ).
fof(f543,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f542]) ).
fof(f816,plain,
! [X2,X0,X1] : divide(divide(X0,X1),X2) = inverse(divide(divide(X1,X0),inverse(X2))),
inference(superposition,[],[f529,f154]) ).
fof(f1264,plain,
! [X2,X0,X1] : divide(divide(X1,X2),X0) = divide(X1,divide(X2,inverse(X0))),
inference(superposition,[],[f395,f82]) ).
fof(f1326,plain,
! [X2,X0,X1] : inverse(divide(divide(X1,X0),inverse(X2))) = divide(X0,divide(X1,inverse(X2))),
inference(backward_demodulation,[],[f816,f1264]) ).
fof(f1340,plain,
( divide(a3,inverse(divide(b3,inverse(c3)))) != divide(a3,divide(inverse(b3),inverse(inverse(c3))))
| spl0_2 ),
inference(backward_demodulation,[],[f14,f1264]) ).
fof(f1387,plain,
( divide(a3,inverse(divide(b3,inverse(c3)))) != divide(a3,inverse(divide(b3,inverse(inverse(inverse(c3))))))
| spl0_2 ),
inference(forward_demodulation,[],[f1340,f529]) ).
fof(f1400,plain,
! [X2,X0,X1] : divide(X0,divide(X1,inverse(X2))) = inverse(divide(X1,divide(X0,inverse(inverse(X2))))),
inference(forward_demodulation,[],[f1326,f1264]) ).
fof(f1452,plain,
( divide(a3,inverse(divide(b3,inverse(c3)))) != divide(a3,inverse(divide(b3,inverse(c3))))
| spl0_2 ),
inference(forward_demodulation,[],[f1387,f104]) ).
fof(f1453,plain,
( $false
| spl0_2 ),
inference(trivial_inequality_removal,[],[f1452]) ).
fof(f1454,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f1453]) ).
fof(f1463,plain,
! [X2,X0,X1] : divide(X0,divide(X1,inverse(X2))) = inverse(divide(X1,divide(X0,X2))),
inference(forward_demodulation,[],[f1400,f104]) ).
fof(f1773,plain,
( a2 != divide(inverse(b2),divide(inverse(b2),inverse(inverse(a2))))
| spl0_3 ),
inference(forward_demodulation,[],[f18,f1264]) ).
fof(f1775,plain,
( a2 != inverse(divide(inverse(b2),divide(inverse(b2),inverse(a2))))
| spl0_3 ),
inference(forward_demodulation,[],[f1773,f1463]) ).
fof(f1776,plain,
( a2 != inverse(inverse(divide(inverse(b2),divide(inverse(b2),a2))))
| spl0_3 ),
inference(forward_demodulation,[],[f1775,f1463]) ).
fof(f1777,plain,
( a2 != divide(inverse(b2),divide(inverse(b2),a2))
| spl0_3 ),
inference(forward_demodulation,[],[f1776,f104]) ).
fof(f1778,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1777,f82]) ).
fof(f1779,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f1778]) ).
fof(f1781,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f22,f90]) ).
fof(f1782,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f1781]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f23]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f543]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f1454]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f1779]) ).
cnf(s5,plain,
spl0_4,
inference(sat_conversion,[],[f1782]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s5,s4,s3,s2]) ).
fof(f1786,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP098-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n001.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
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:24:45 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 5.36/1.77 % (3287665)Input is clausal, will run a generic CNF schedule.
% 5.36/1.77 % (3287673)lrs+10_1_sil=8000:sp=occurrence:random_seed=2681723859:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.36/1.77 % (3287673)Instruction limit reached!
% 5.36/1.77 % (3287673)------------------------------
% 5.36/1.77 % (3287673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.77 % (3287673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.77 % (3287673)CaDiCaL version: 2.1.3
% 5.36/1.77 % (3287673)Termination reason: Instruction limit
% 5.36/1.77 % (3287673)Termination phase: Saturation
% 5.36/1.77 % (3287673)Time elapsed: 0.036 s
% 5.36/1.77 % (3287673)Peak memory usage: 89 MB
% 5.36/1.77 % (3287673)Instructions burned: 109 (million)
% 5.36/1.77 % (3287672)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=103772564:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.36/1.77 % (3287671)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2337687985:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.36/1.77 % (3287674)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=971405663:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.36/1.77 % (3287670)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=14868486:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.36/1.77 % (3287675)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1610429727:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.36/1.77 % (3287676)dis-21_1_sil=8000:lcm=predicate:random_seed=1644545402: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)
% 5.36/1.77 % (3287676)Refutation not found, incomplete strategy
% 5.36/1.77 % (3287676)------------------------------
% 5.36/1.77 % (3287676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.77 % (3287676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.77 % (3287676)CaDiCaL version: 2.1.3
% 5.36/1.77 % (3287676)Termination reason: Refutation not found, incomplete strategy
% 5.36/1.77 % (3287676)Time elapsed: 0.001 s
% 5.36/1.77 % (3287676)Peak memory usage: 88 MB
% 5.36/1.77 % (3287675)Instruction limit reached!
% 5.36/1.77 % (3287675)------------------------------
% 5.36/1.77 % (3287675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.77 % (3287675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.77 % (3287675)CaDiCaL version: 2.1.3
% 5.36/1.77 % (3287675)Termination reason: Instruction limit
% 5.36/1.77 % (3287675)Termination phase: Saturation
% 5.36/1.77 % (3287675)Time elapsed: 0.055 s
% 5.36/1.77 % (3287675)Peak memory usage: 90 MB
% 5.36/1.77 % (3287675)Instructions burned: 182 (million)
% 5.36/1.77 % (3287674)Instruction limit reached!
% 5.36/1.77 % (3287674)------------------------------
% 5.36/1.77 % (3287674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.77 % (3287674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.77 % (3287674)CaDiCaL version: 2.1.3
% 5.36/1.77 % (3287674)Termination reason: Instruction limit
% 5.36/1.77 % (3287674)Termination phase: Saturation
% 5.36/1.77 % (3287674)Time elapsed: 0.076 s
% 5.36/1.77 % (3287674)Peak memory usage: 89 MB
% 5.36/1.77 % (3287674)Instructions burned: 115 (million)
% 5.36/1.77 % (3287682)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=1679538085:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.36/1.77 % (3287682)Refutation not found, incomplete strategy
% 5.36/1.77 % (3287682)------------------------------
% 5.36/1.77 % (3287682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.77 % (3287682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.77 % (3287682)CaDiCaL version: 2.1.3
% 5.36/1.77 % (3287682)Termination reason: Refutation not found, incomplete strategy
% 5.36/1.77 % (3287682)Time elapsed: 0.001 s
% 5.36/1.77 % (3287682)Peak memory usage: 88 MB
% 5.36/1.77 % (3287685)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=750568760: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)
% 5.36/1.77 % (3287685)Refutation not found, incomplete strategy
% 5.36/1.77 % (3287685)------------------------------
% 5.36/1.77 % (3287685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.77 % (3287685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.77 % (3287685)CaDiCaL version: 2.1.3
% 5.36/1.77 % (3287685)Termination reason: Refutation not found, incomplete strategy
% 5.36/1.77 % (3287685)Time elapsed: 0.001 s
% 5.36/1.77 % (3287685)Peak memory usage: 88 MB
% 5.36/1.77 % (3287686)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2807454873:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.36/1.77 % (3287686)Refutation not found, incomplete strategy
% 5.36/1.77 % (3287686)------------------------------
% 5.36/1.77 % (3287686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.77 % (3287686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.77 % (3287686)CaDiCaL version: 2.1.3
% 5.36/1.77 % (3287686)Termination reason: Refutation not found, incomplete strategy
% 5.36/1.77 % (3287686)Time elapsed: 0.001 s
% 5.36/1.77 % (3287686)Peak memory usage: 88 MB
% 5.36/1.77 % (3287676)------------------------------
% 5.36/1.77 % (3287676)------------------------------
% 5.36/1.77 % (3287685)------------------------------
% 5.36/1.77 % (3287685)------------------------------
% 5.36/1.77 % (3287682)------------------------------
% 5.36/1.77 % (3287682)------------------------------
% 5.36/1.77 % (3287690)lrs+10_64_to=lpo:sil=8000:random_seed=962985593:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.36/1.77 % (3287691)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4037230097:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 5.36/1.77 % (3287690)First to succeed.
% 5.36/1.77 % (3287690)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3287665"
% 5.36/1.77 % (3287686)------------------------------
% 5.36/1.77 % (3287686)------------------------------
% 5.36/1.77 % (3287691)Instruction limit reached!
% 5.36/1.77 % (3287691)------------------------------
% 5.36/1.77 % (3287691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.77 % (3287691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.77 % (3287691)CaDiCaL version: 2.1.3
% 5.36/1.77 % (3287691)Termination reason: Instruction limit
% 5.36/1.77 % (3287691)Termination phase: Saturation
% 5.36/1.77 % (3287691)Time elapsed: 0.063 s
% 5.36/1.77 % (3287691)Peak memory usage: 90 MB
% 5.36/1.77 % (3287691)Instructions burned: 195 (million)
% 5.36/1.77 % (3287692)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=134735884:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.36/1.77 % (3287695)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2075481104:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 5.36/1.77 % (3287696)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2282811768:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 5.36/1.77 % (3287692)Instruction limit reached!
% 5.36/1.77 % (3287692)------------------------------
% 5.36/1.77 % (3287692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.77 % (3287692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.77 % (3287692)CaDiCaL version: 2.1.3
% 5.36/1.77 % (3287692)Termination reason: Instruction limit
% 5.36/1.77 % (3287692)Termination phase: Saturation
% 5.36/1.77 % (3287692)Time elapsed: 0.100 s
% 5.36/1.77 % (3287692)Peak memory usage: 92 MB
% 5.36/1.77 % (3287692)Instructions burned: 158 (million)
% 5.36/1.77 % (3287696)Instruction limit reached!
% 5.36/1.77 % (3287696)------------------------------
% 5.36/1.77 % (3287696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.77 % (3287696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.77 % (3287696)CaDiCaL version: 2.1.3
% 5.36/1.77 % (3287696)Termination reason: Instruction limit
% 5.36/1.77 % (3287696)Termination phase: Saturation
% 5.36/1.77 % (3287696)Time elapsed: 0.067 s
% 5.36/1.77 % (3287696)Peak memory usage: 89 MB
% 5.36/1.77 % (3287696)Instructions burned: 107 (million)
% 5.36/1.77 % (3287690)Refutation found. Thanks to Tanya!
% 5.36/1.77 % SZS status Unsatisfiable for theBenchmark
% 6.86/1.87 % SZS output start Proof for theBenchmark
% See solution above
% 6.86/1.87 % (3287690)------------------------------
% 6.86/1.87 % (3287690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.86/1.87 % (3287690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.87 % (3287690)CaDiCaL version: 2.1.3
% 6.86/1.87 % (3287690)Termination reason: Refutation
% 6.86/1.87 % (3287690)Time elapsed: 0.039 s
% 6.86/1.87 % (3287690)Peak memory usage: 90 MB
% 6.86/1.87 % (3287690)Instructions burned: 62 (million)
% 6.86/1.87 % (3287690)------------------------------
% 6.86/1.87 % (3287690)------------------------------
% 6.86/1.87 % (3287665)Success in time 0.915 s
% 6.86/1.87 % Vampire exiting
%------------------------------------------------------------------------------