%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP093-1 : 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 : n012.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 5.33s 1.46s
% Output : Refutation 6.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 5
% Syntax : Number of formulae : 61 ( 48 unt; 0 def)
% Number of atoms : 86 ( 85 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 65 ( 40 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 117 ( 117 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,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/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f6,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,[],[f5]) ).
fof(f7,plain,
( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2))
| divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1))
| divide(a4,divide(identity,b4)) != divide(b4,divide(identity,a4)) ),
inference(definition_unfolding,[],[f6,f2,f3,f2,f3,f2,f2,f3,f2,f2,f2,f2,f2,f2]) ).
fof(f10,plain,
! [X2,X0,X1] : divide(divide(divide(X1,X0),X2),X1) = divide(divide(identity,divide(X0,identity)),X2),
inference(superposition,[],[f1,f1]) ).
fof(f11,plain,
! [X0,X1] : divide(divide(identity,divide(identity,X0)),divide(X0,X1)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f13,plain,
! [X0,X1] : divide(divide(identity,X1),X0) = divide(divide(identity,divide(X0,identity)),X1),
inference(superposition,[],[f10,f4]) ).
fof(f26,plain,
! [X0] : divide(divide(identity,identity),divide(identity,X0)) = X0,
inference(superposition,[],[f11,f4]) ).
fof(f41,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(forward_demodulation,[],[f26,f4]) ).
fof(f45,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(superposition,[],[f11,f41]) ).
fof(f53,plain,
! [X0] : divide(X0,identity) = X0,
inference(superposition,[],[f45,f4]) ).
fof(f58,plain,
! [X2,X0,X1] : divide(divide(identity,divide(divide(X1,X0),identity)),X2) = divide(divide(X0,X2),X1),
inference(superposition,[],[f10,f45]) ).
fof(f65,plain,
! [X2,X0,X1] : divide(divide(identity,X2),divide(X1,X0)) = divide(divide(X0,X2),X1),
inference(forward_demodulation,[],[f58,f13]) ).
fof(f77,plain,
! [X0,X1] : divide(divide(X0,X1),X0) = divide(divide(identity,divide(X1,identity)),identity),
inference(superposition,[],[f10,f53]) ).
fof(f84,plain,
! [X0,X1] : divide(identity,divide(X1,identity)) = divide(divide(X0,X1),X0),
inference(forward_demodulation,[],[f77,f53]) ).
fof(f91,plain,
! [X0,X1] : divide(identity,X1) = divide(divide(X0,X1),X0),
inference(forward_demodulation,[],[f84,f53]) ).
fof(f96,plain,
! [X0,X1] : divide(X0,X1) = divide(identity,divide(X1,X0)),
inference(superposition,[],[f91,f45]) ).
fof(f98,plain,
! [X2,X0,X1] : divide(identity,X1) = divide(X0,divide(identity,divide(divide(divide(X2,X0),X1),X2))),
inference(superposition,[],[f91,f1]) ).
fof(f118,plain,
! [X0,X1] : divide(identity,X1) = divide(X0,divide(identity,divide(divide(identity,divide(X0,identity)),X1))),
inference(forward_demodulation,[],[f98,f10]) ).
fof(f124,plain,
! [X0,X1] : divide(identity,X1) = divide(X0,divide(X1,divide(identity,divide(X0,identity)))),
inference(forward_demodulation,[],[f118,f96]) ).
fof(f126,plain,
! [X0,X1] : divide(identity,X1) = divide(X0,divide(X1,divide(identity,X0))),
inference(forward_demodulation,[],[f124,f96]) ).
fof(f137,plain,
! [X2,X0,X1] : divide(identity,divide(divide(divide(identity,X2),X0),X1)) = divide(X2,divide(divide(identity,divide(X0,identity)),X1)),
inference(superposition,[],[f126,f10]) ).
fof(f141,plain,
! [X0,X1] : divide(divide(identity,X0),X1) = divide(identity,divide(X0,divide(identity,X1))),
inference(superposition,[],[f91,f126]) ).
fof(f142,plain,
! [X0,X1] : divide(X0,divide(identity,X1)) = divide(X1,divide(identity,X0)),
inference(superposition,[],[f45,f126]) ).
fof(f152,plain,
! [X2,X0,X1] : divide(divide(identity,divide(divide(identity,X0),X1)),divide(X0,divide(identity,divide(X1,X2)))) = X2,
inference(superposition,[],[f1,f126]) ).
fof(f153,plain,
! [X2,X0,X1] : divide(divide(divide(identity,divide(X1,X2)),divide(divide(identity,X0),X1)),X0) = X2,
inference(forward_demodulation,[],[f152,f65]) ).
fof(f161,plain,
! [X0,X1] : divide(divide(identity,X1),X0) = divide(divide(identity,X0),X1),
inference(forward_demodulation,[],[f141,f96]) ).
fof(f164,plain,
! [X2,X0,X1] : divide(identity,divide(divide(divide(identity,X2),X0),X1)) = divide(X2,divide(divide(identity,X1),X0)),
inference(forward_demodulation,[],[f137,f13]) ).
fof(f170,plain,
! [X2,X0,X1] : divide(divide(divide(X1,divide(X1,X2)),divide(identity,X0)),X0) = X2,
inference(forward_demodulation,[],[f153,f65]) ).
fof(f175,plain,
! [X2,X0,X1] : divide(X2,divide(divide(identity,X1),X0)) = divide(X1,divide(divide(identity,X2),X0)),
inference(forward_demodulation,[],[f164,f96]) ).
fof(f179,plain,
! [X2,X0] : divide(divide(X2,divide(identity,X0)),X0) = X2,
inference(forward_demodulation,[],[f170,f45]) ).
fof(f196,plain,
! [X2,X0,X1] : divide(X0,X2) = divide(identity,divide(divide(divide(X1,X0),divide(identity,X2)),X1)),
inference(superposition,[],[f179,f1]) ).
fof(f225,plain,
! [X2,X0,X1] : divide(X0,X2) = divide(X1,divide(divide(X1,X0),divide(identity,X2))),
inference(forward_demodulation,[],[f196,f96]) ).
fof(f240,plain,
! [X2,X0,X1] : divide(divide(X1,X0),X2) = divide(X1,divide(X0,divide(identity,X2))),
inference(superposition,[],[f225,f45]) ).
fof(f242,plain,
! [X2,X3,X0,X1] : divide(divide(divide(X2,X0),divide(identity,X1)),X3) = divide(X2,divide(divide(X0,X1),divide(identity,X3))),
inference(superposition,[],[f225,f225]) ).
fof(f266,plain,
! [X2,X0,X1] : divide(divide(X2,X0),divide(identity,X1)) = divide(X2,divide(X0,X1)),
inference(superposition,[],[f45,f225]) ).
fof(f267,plain,
! [X2,X0,X1] : divide(divide(X2,X0),divide(identity,X1)) = divide(divide(identity,divide(identity,X2)),divide(X0,X1)),
inference(superposition,[],[f11,f225]) ).
fof(f284,plain,
! [X2,X0,X1] : divide(divide(X2,X0),divide(identity,X1)) = divide(divide(X1,divide(identity,X2)),X0),
inference(forward_demodulation,[],[f267,f65]) ).
fof(f302,plain,
! [X2,X3,X0,X1] : divide(divide(divide(X2,X0),divide(identity,X1)),X3) = divide(X2,divide(X0,divide(X1,X3))),
inference(forward_demodulation,[],[f242,f266]) ).
fof(f312,plain,
! [X2,X0,X1] : divide(X2,divide(X0,X1)) = divide(divide(X1,divide(identity,X2)),X0),
inference(forward_demodulation,[],[f284,f266]) ).
fof(f324,plain,
! [X2,X3,X0,X1] : divide(X2,divide(X0,divide(X1,X3))) = divide(divide(X2,divide(X0,X1)),X3),
inference(forward_demodulation,[],[f302,f266]) ).
fof(f530,plain,
! [X2,X3,X0,X1] : divide(X1,divide(X3,divide(X2,divide(identity,X0)))) = divide(divide(X0,divide(divide(identity,X1),X2)),X3),
inference(superposition,[],[f312,f312]) ).
fof(f551,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(b3,divide(divide(identity,c3),a3))
| a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2))
| divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1))
| divide(a4,divide(identity,b4)) != divide(b4,divide(identity,a4)) ),
inference(superposition,[],[f7,f312]) ).
fof(f585,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(b3,divide(divide(identity,c3),a3))
| a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2))
| divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1)) ),
inference(forward_subsumption_resolution,[],[f551,f142]) ).
fof(f598,plain,
! [X2,X3,X0,X1] : divide(X1,divide(X3,divide(X2,divide(identity,X0)))) = divide(X0,divide(divide(identity,X1),divide(X2,X3))),
inference(forward_demodulation,[],[f530,f324]) ).
fof(f624,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(b3,divide(divide(identity,a3),c3))
| a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2))
| divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1)) ),
inference(forward_demodulation,[],[f585,f161]) ).
fof(f635,plain,
! [X2,X3,X0,X1] : divide(X1,divide(X3,divide(X2,divide(identity,X0)))) = divide(X0,divide(divide(X3,X1),X2)),
inference(forward_demodulation,[],[f598,f65]) ).
fof(f649,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(a3,divide(divide(identity,b3),c3))
| a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2))
| divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1)) ),
inference(forward_demodulation,[],[f624,f175]) ).
fof(f657,plain,
! [X2,X3,X0,X1] : divide(X0,divide(divide(X3,X1),X2)) = divide(X1,divide(divide(X3,X2),X0)),
inference(forward_demodulation,[],[f635,f240]) ).
fof(f666,plain,
( divide(a3,divide(divide(identity,b3),c3)) != divide(a3,divide(divide(identity,b3),c3))
| a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2))
| divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1)) ),
inference(forward_demodulation,[],[f649,f240]) ).
fof(f667,plain,
( a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2))
| divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1)) ),
inference(trivial_inequality_removal,[],[f666]) ).
fof(f673,plain,
( a2 != divide(a2,divide(identity,divide(divide(identity,b2),divide(identity,b2))))
| divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1)) ),
inference(forward_demodulation,[],[f667,f142]) ).
fof(f676,plain,
( a2 != divide(a2,divide(divide(identity,divide(identity,b2)),b2))
| divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1)) ),
inference(forward_demodulation,[],[f673,f240]) ).
fof(f678,plain,
( a2 != divide(b2,divide(divide(identity,a2),divide(identity,b2)))
| divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1)) ),
inference(forward_demodulation,[],[f676,f657]) ).
fof(f679,plain,
( a2 != divide(identity,divide(identity,a2))
| divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1)) ),
inference(forward_demodulation,[],[f678,f126]) ).
fof(f680,plain,
divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1)),
inference(forward_subsumption_resolution,[],[f679,f41]) ).
fof(f681,plain,
identity != divide(divide(identity,a1),divide(identity,a1)),
inference(forward_demodulation,[],[f680,f4]) ).
fof(f682,plain,
$false,
inference(forward_subsumption_resolution,[],[f681,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP093-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 09:18:49 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.32 Running first-order theorem proving
% 0.07/0.32 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
% 5.33/1.46 % (2108198)Input is clausal, will run a generic CNF schedule.
% 5.33/1.46 % (2108216)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=1299114275:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.33/1.46 % (2108218)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3020075106:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.33/1.46 % (2108217)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1607574943:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.33/1.46 % (2108219)lrs+10_1_sil=8000:sp=occurrence:random_seed=3413296295:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.33/1.46 % (2108222)dis-21_1_sil=8000:lcm=predicate:random_seed=533541854: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)
% 5.33/1.46 % (2108221)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=884068159:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.33/1.46 % (2108222)Refutation not found, incomplete strategy
% 5.33/1.46 % (2108222)------------------------------
% 5.33/1.46 % (2108222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.46 % (2108222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.46 % (2108222)CaDiCaL version: 2.1.3
% 5.33/1.46 % (2108222)Termination reason: Refutation not found, incomplete strategy
% 5.33/1.46 % (2108222)Time elapsed: 0.001 s
% 5.33/1.46 % (2108222)Peak memory usage: 88 MB
% 5.33/1.46 % (2108220)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=765836060:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.33/1.46 % (2108219)Instruction limit reached!
% 5.33/1.46 % (2108219)------------------------------
% 5.33/1.46 % (2108219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.46 % (2108219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.46 % (2108219)CaDiCaL version: 2.1.3
% 5.33/1.46 % (2108219)Termination reason: Instruction limit
% 5.33/1.46 % (2108219)Termination phase: Saturation
% 5.33/1.46 % (2108219)Time elapsed: 0.047 s
% 5.33/1.46 % (2108219)Peak memory usage: 89 MB
% 5.33/1.46 % (2108219)Instructions burned: 109 (million)
% 5.33/1.46 % (2108220)Instruction limit reached!
% 5.33/1.46 % (2108220)------------------------------
% 5.33/1.46 % (2108220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.46 % (2108220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.46 % (2108220)CaDiCaL version: 2.1.3
% 5.33/1.46 % (2108220)Termination reason: Instruction limit
% 5.33/1.46 % (2108220)Termination phase: Saturation
% 5.33/1.46 % (2108220)Time elapsed: 0.040 s
% 5.33/1.46 % (2108220)Peak memory usage: 89 MB
% 5.33/1.46 % (2108220)Instructions burned: 116 (million)
% 5.33/1.46 % (2108221)Instruction limit reached!
% 5.33/1.46 % (2108221)------------------------------
% 5.33/1.46 % (2108221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.46 % (2108221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.46 % (2108221)CaDiCaL version: 2.1.3
% 5.33/1.46 % (2108221)Termination reason: Instruction limit
% 5.33/1.46 % (2108221)Termination phase: Saturation
% 5.33/1.46 % (2108221)Time elapsed: 0.077 s
% 5.33/1.46 % (2108221)Peak memory usage: 90 MB
% 5.33/1.46 % (2108221)Instructions burned: 182 (million)
% 5.33/1.46 % (2108238)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=3499510761:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.33/1.46 % (2108238)Refutation not found, incomplete strategy
% 5.33/1.46 % (2108238)------------------------------
% 5.33/1.46 % (2108238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.46 % (2108238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.46 % (2108238)CaDiCaL version: 2.1.3
% 5.33/1.46 % (2108238)Termination reason: Refutation not found, incomplete strategy
% 5.33/1.46 % (2108238)Time elapsed: 0.001 s
% 5.33/1.46 % (2108238)Peak memory usage: 88 MB
% 5.33/1.46 % (2108241)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=139116427:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 5.33/1.46 % (2108241)Refutation not found, incomplete strategy
% 5.33/1.46 % (2108241)------------------------------
% 5.33/1.46 % (2108241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.46 % (2108241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.46 % (2108241)CaDiCaL version: 2.1.3
% 5.33/1.46 % (2108241)Termination reason: Refutation not found, incomplete strategy
% 5.33/1.46 % (2108241)Time elapsed: 0.001 s
% 5.33/1.46 % (2108241)Peak memory usage: 88 MB
% 5.33/1.46 % (2108240)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3256611792:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 5.33/1.46 % (2108240)Refutation not found, incomplete strategy
% 5.33/1.46 % (2108240)------------------------------
% 5.33/1.46 % (2108240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.46 % (2108240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.46 % (2108240)CaDiCaL version: 2.1.3
% 5.33/1.46 % (2108240)Termination reason: Refutation not found, incomplete strategy
% 5.33/1.46 % (2108240)Time elapsed: 0.001 s
% 5.33/1.46 % (2108240)Peak memory usage: 88 MB
% 5.33/1.46 % (2108240)Instructions burned: 1 (million)
% 5.33/1.46 % (2108222)------------------------------
% 5.33/1.46 % (2108222)------------------------------
% 5.33/1.46 % (2108254)lrs+10_64_to=lpo:sil=8000:random_seed=3507460483:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.33/1.46 % (2108254)Instruction limit reached!
% 5.33/1.46 % (2108254)------------------------------
% 5.33/1.46 % (2108254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.46 % (2108254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.46 % (2108254)CaDiCaL version: 2.1.3
% 5.33/1.46 % (2108254)Termination reason: Instruction limit
% 5.33/1.46 % (2108254)Termination phase: Saturation
% 5.33/1.46 % (2108254)Time elapsed: 0.041 s
% 5.33/1.46 % (2108254)Peak memory usage: 88 MB
% 5.33/1.46 % (2108254)Instructions burned: 126 (million)
% 5.33/1.46 % (2108238)------------------------------
% 5.33/1.46 % (2108238)------------------------------
% 5.33/1.46 % (2108241)------------------------------
% 5.33/1.46 % (2108241)------------------------------
% 5.33/1.46 % (2108240)------------------------------
% 5.33/1.46 % (2108240)------------------------------
% 5.33/1.46 % (2108260)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=886206477:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.33/1.46 % (2108261)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2478642381:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.33/1.46 % (2108217)First to succeed.
% 5.33/1.46 % (2108217)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2108198"
% 5.33/1.46 % (2108260)Also succeeded, but the first one will report.
% 5.33/1.46 % (2108262)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=620502741:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 5.33/1.46 % (2108263)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=674814786:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 5.33/1.46 % (2108261)Instruction limit reached!
% 5.33/1.46 % (2108261)------------------------------
% 5.33/1.46 % (2108261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.46 % (2108261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.46 % (2108261)CaDiCaL version: 2.1.3
% 5.33/1.46 % (2108261)Termination reason: Instruction limit
% 5.33/1.46 % (2108261)Termination phase: Saturation
% 5.33/1.46 % (2108261)Time elapsed: 0.090 s
% 5.33/1.46 % (2108261)Peak memory usage: 91 MB
% 5.33/1.46 % (2108261)Instructions burned: 158 (million)
% 5.33/1.46 % (2108263)Instruction limit reached!
% 5.33/1.46 % (2108263)------------------------------
% 5.33/1.46 % (2108263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.46 % (2108263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.46 % (2108263)CaDiCaL version: 2.1.3
% 5.33/1.46 % (2108263)Termination reason: Instruction limit
% 5.33/1.46 % (2108263)Termination phase: Saturation
% 5.33/1.46 % (2108263)Time elapsed: 0.047 s
% 5.33/1.46 % (2108263)Peak memory usage: 89 MB
% 5.33/1.46 % (2108263)Instructions burned: 107 (million)
% 5.33/1.46 % (2108216)Also succeeded, but the first one will report.
% 5.33/1.46 % (2108273)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=349450485:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 5.33/1.46 % (2108273)Refutation not found, incomplete strategy
% 5.33/1.46 % (2108273)------------------------------
% 5.33/1.46 % (2108273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.46 % (2108273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.46 % (2108273)CaDiCaL version: 2.1.3
% 5.33/1.46 % (2108273)Termination reason: Refutation not found, incomplete strategy
% 5.33/1.46 % (2108273)Time elapsed: 0.001 s
% 5.33/1.46 % (2108273)Peak memory usage: 88 MB
% 5.33/1.46 % (2108217)Refutation found. Thanks to Tanya!
% 5.33/1.46 % SZS status Unsatisfiable for theBenchmark
% 5.33/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 6.72/1.66 % (2108217)------------------------------
% 6.72/1.66 % (2108217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.72/1.66 % (2108217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/1.66 % (2108217)CaDiCaL version: 2.1.3
% 6.72/1.66 % (2108217)Termination reason: Refutation
% 6.72/1.66 % (2108217)Time elapsed: 0.552 s
% 6.72/1.66 % (2108217)Peak memory usage: 128 MB
% 6.72/1.66 % (2108217)Instructions burned: 960 (million)
% 6.72/1.66 % (2108217)------------------------------
% 6.72/1.66 % (2108217)------------------------------
% 6.72/1.66 % (2108198)Success in time 0.932 s
% 6.72/1.66 % Vampire exiting
%------------------------------------------------------------------------------