%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP445-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 10:14:01 AM UTC 2026
% Result : Unsatisfiable 3.42s 1.42s
% Output : Refutation 4.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 5
% Syntax : Number of formulae : 88 ( 85 unt; 1 def)
% Number of atoms : 91 ( 81 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 2 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 21 ( 4 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 213 ( 0 sgn 213 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f6,definition,
( spl0_1
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f8,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_1 ),
inference(avatar_component_clause,[],[f6]) ).
fof(f9,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f4,f6]) ).
fof(f10,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f11,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f12,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f11,f3]) ).
fof(f13,plain,
! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f3,f3]) ).
fof(f15,plain,
! [X0,X1] : inverse(X1) = divide(multiply(inverse(X0),X0),X1),
inference(superposition,[],[f3,f10]) ).
fof(f16,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(superposition,[],[f3,f10]) ).
fof(f21,plain,
! [X0,X1] : inverse(X1) = divide(inverse(inverse(divide(X0,X0))),X1),
inference(superposition,[],[f3,f13]) ).
fof(f26,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(inverse(X1),X1),X0),
inference(superposition,[],[f10,f15]) ).
fof(f36,plain,
! [X2,X0,X1] : divide(X2,X2) = divide(X1,divide(inverse(X0),divide(inverse(X1),X0))),
inference(superposition,[],[f12,f13]) ).
fof(f38,plain,
! [X2,X3,X0,X1] : divide(X1,divide(X0,divide(inverse(X1),divide(divide(inverse(X0),X3),divide(inverse(inverse(X2)),X3))))) = X2,
inference(superposition,[],[f12,f12]) ).
fof(f41,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X2),inverse(X1)),multiply(inverse(X0),X1))) = X2,
inference(superposition,[],[f12,f10]) ).
fof(f43,plain,
! [X0,X1] : divide(X0,inverse(divide(inverse(X0),inverse(X1)))) = X1,
inference(superposition,[],[f12,f3]) ).
fof(f49,plain,
! [X2,X0,X1] : inverse(divide(divide(inverse(X0),X1),divide(inverse(inverse(divide(X2,X2))),X1))) = X0,
inference(superposition,[],[f13,f12]) ).
fof(f50,plain,
! [X0,X1] : inverse(divide(divide(inverse(X0),X1),inverse(X1))) = X0,
inference(forward_demodulation,[],[f49,f21]) ).
fof(f56,plain,
! [X0,X1] : multiply(X0,divide(inverse(X0),inverse(X1))) = X1,
inference(forward_demodulation,[],[f43,f10]) ).
fof(f57,plain,
! [X2,X0,X1] : divide(X0,divide(multiply(inverse(X2),X1),multiply(inverse(X0),X1))) = X2,
inference(forward_demodulation,[],[f41,f10]) ).
fof(f60,plain,
! [X0,X1] : inverse(multiply(divide(inverse(X0),X1),X1)) = X0,
inference(forward_demodulation,[],[f50,f10]) ).
fof(f66,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f56,f10]) ).
fof(f69,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),X0) = multiply(X1,X0),
inference(superposition,[],[f66,f66]) ).
fof(f76,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(superposition,[],[f60,f16]) ).
fof(f89,plain,
! [X0,X1] : divide(X1,X0) = multiply(X1,inverse(inverse(inverse(X0)))),
inference(superposition,[],[f10,f76]) ).
fof(f91,plain,
! [X2,X0,X1] : inverse(inverse(inverse(X0))) = divide(X1,divide(divide(X0,X2),divide(inverse(X1),X2))),
inference(superposition,[],[f12,f76]) ).
fof(f95,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(superposition,[],[f66,f76]) ).
fof(f96,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f95,f69]) ).
fof(f105,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(multiply(X0,inverse(inverse(inverse(X0)))),X1),
inference(backward_demodulation,[],[f16,f89]) ).
fof(f113,plain,
! [X2,X0,X1] : divide(X1,divide(inverse(X0),divide(inverse(X1),X0))) = multiply(X2,inverse(inverse(inverse(X2)))),
inference(backward_demodulation,[],[f36,f89]) ).
fof(f120,plain,
! [X2,X0,X1] : inverse(inverse(inverse(X0))) = divide(X1,divide(multiply(X0,inverse(inverse(inverse(X2)))),divide(inverse(X1),X2))),
inference(backward_demodulation,[],[f91,f89]) ).
fof(f124,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(inverse(inverse(divide(X0,divide(inverse(X1),divide(divide(inverse(X0),X3),divide(inverse(inverse(X2)),X3)))))))) = X2,
inference(backward_demodulation,[],[f38,f89]) ).
fof(f126,plain,
! [X2,X0,X1] : multiply(X0,inverse(inverse(inverse(divide(multiply(inverse(X2),X1),multiply(inverse(X0),X1)))))) = X2,
inference(backward_demodulation,[],[f57,f89]) ).
fof(f148,plain,
! [X2,X0,X1] : multiply(X0,inverse(inverse(inverse(multiply(multiply(inverse(X2),X1),inverse(inverse(inverse(multiply(inverse(X0),X1))))))))) = X2,
inference(forward_demodulation,[],[f126,f89]) ).
fof(f150,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(inverse(inverse(multiply(X0,inverse(inverse(inverse(divide(inverse(X1),divide(divide(inverse(X0),X3),divide(inverse(inverse(X2)),X3))))))))))) = X2,
inference(forward_demodulation,[],[f124,f89]) ).
fof(f153,plain,
! [X2,X0,X1] : inverse(inverse(inverse(X0))) = multiply(X1,inverse(inverse(inverse(divide(multiply(X0,inverse(inverse(inverse(X2)))),divide(inverse(X1),X2)))))),
inference(forward_demodulation,[],[f120,f89]) ).
fof(f157,plain,
! [X2,X0,X1] : multiply(X2,inverse(inverse(inverse(X2)))) = multiply(X1,inverse(inverse(inverse(divide(inverse(X0),divide(inverse(X1),X0)))))),
inference(forward_demodulation,[],[f113,f89]) ).
fof(f168,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(inverse(inverse(multiply(X0,inverse(inverse(inverse(multiply(inverse(X1),inverse(inverse(inverse(divide(divide(inverse(X0),X3),divide(inverse(inverse(X2)),X3)))))))))))))) = X2,
inference(forward_demodulation,[],[f150,f89]) ).
fof(f170,plain,
! [X2,X0,X1] : inverse(inverse(inverse(X0))) = multiply(X1,inverse(inverse(inverse(multiply(multiply(X0,inverse(inverse(inverse(X2)))),inverse(inverse(inverse(divide(inverse(X1),X2))))))))),
inference(forward_demodulation,[],[f153,f89]) ).
fof(f173,plain,
! [X2,X0,X1] : multiply(X2,inverse(inverse(inverse(X2)))) = multiply(X1,inverse(inverse(inverse(multiply(inverse(X0),inverse(inverse(inverse(divide(inverse(X1),X0))))))))),
inference(forward_demodulation,[],[f157,f89]) ).
fof(f178,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(inverse(inverse(multiply(X0,inverse(inverse(inverse(multiply(inverse(X1),inverse(inverse(inverse(multiply(divide(inverse(X0),X3),inverse(inverse(inverse(divide(inverse(inverse(X2)),X3))))))))))))))))) = X2,
inference(forward_demodulation,[],[f168,f89]) ).
fof(f180,plain,
! [X2,X0,X1] : inverse(inverse(inverse(X0))) = multiply(X1,inverse(inverse(inverse(multiply(multiply(X0,inverse(inverse(inverse(X2)))),inverse(inverse(inverse(multiply(inverse(X1),inverse(inverse(inverse(X2)))))))))))),
inference(forward_demodulation,[],[f170,f89]) ).
fof(f183,plain,
! [X2,X0,X1] : multiply(X2,inverse(inverse(inverse(X2)))) = multiply(X1,inverse(inverse(inverse(multiply(inverse(X0),inverse(inverse(inverse(multiply(inverse(X1),inverse(inverse(inverse(X0)))))))))))),
inference(forward_demodulation,[],[f173,f89]) ).
fof(f185,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(inverse(inverse(multiply(X0,inverse(inverse(inverse(multiply(inverse(X1),inverse(inverse(inverse(multiply(divide(inverse(X0),X3),inverse(inverse(inverse(multiply(inverse(inverse(X2)),inverse(inverse(inverse(X3)))))))))))))))))))) = X2,
inference(forward_demodulation,[],[f178,f89]) ).
fof(f190,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(inverse(inverse(multiply(X0,inverse(inverse(inverse(multiply(inverse(X1),inverse(inverse(inverse(multiply(divide(inverse(X0),X3),inverse(inverse(inverse(multiply(X2,inverse(inverse(inverse(X3)))))))))))))))))))) = X2,
inference(forward_demodulation,[],[f185,f69]) ).
fof(f192,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(inverse(inverse(multiply(X0,inverse(inverse(inverse(multiply(inverse(X1),inverse(inverse(inverse(multiply(multiply(inverse(X0),inverse(inverse(inverse(X3)))),inverse(inverse(inverse(multiply(X2,inverse(inverse(inverse(X3)))))))))))))))))))) = X2,
inference(forward_demodulation,[],[f190,f89]) ).
fof(f211,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(inverse(inverse(X1))))),inverse(inverse(X0))) = X0,
inference(superposition,[],[f96,f105]) ).
fof(f223,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(multiply(X0,inverse(inverse(inverse(inverse(inverse(X0)))))),X1),
inference(superposition,[],[f105,f69]) ).
fof(f226,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(multiply(X0,inverse(X0)),X1),
inference(forward_demodulation,[],[f223,f76]) ).
fof(f249,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),inverse(inverse(X1))) = X1,
inference(superposition,[],[f76,f26]) ).
fof(f265,plain,
! [X2,X0,X1] : multiply(X1,inverse(inverse(inverse(multiply(X0,inverse(inverse(inverse(multiply(inverse(X1),multiply(X2,X0)))))))))) = X2,
inference(superposition,[],[f148,f96]) ).
fof(f266,plain,
! [X2,X0,X1] : inverse(X0) = multiply(X2,inverse(inverse(inverse(multiply(multiply(X0,X1),inverse(inverse(inverse(multiply(inverse(X2),X1))))))))),
inference(superposition,[],[f148,f69]) ).
fof(f268,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(inverse(inverse(multiply(X0,inverse(inverse(inverse(multiply(inverse(X1),inverse(inverse(inverse(multiply(multiply(inverse(X0),X3),inverse(inverse(inverse(multiply(inverse(inverse(X2)),X3))))))))))))))))) = X2,
inference(superposition,[],[f148,f148]) ).
fof(f287,plain,
! [X2,X0,X1] : multiply(inverse(X1),X0) = inverse(inverse(inverse(multiply(multiply(inverse(X0),X2),inverse(inverse(inverse(multiply(inverse(X1),X2)))))))),
inference(superposition,[],[f96,f148]) ).
fof(f297,plain,
! [X2,X0,X1] : multiply(X1,inverse(inverse(inverse(multiply(X0,inverse(inverse(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),X0)))))))))) = X2,
inference(forward_demodulation,[],[f268,f287]) ).
fof(f299,plain,
! [X0] : inverse(X0) = inverse(inverse(inverse(X0))),
inference(backward_demodulation,[],[f180,f266]) ).
fof(f306,plain,
! [X2] : inverse(inverse(X2)) = X2,
inference(forward_demodulation,[],[f297,f265]) ).
fof(f324,plain,
! [X2,X0,X1] : multiply(X2,inverse(inverse(inverse(X2)))) = multiply(X1,inverse(inverse(inverse(multiply(inverse(X0),inverse(inverse(inverse(multiply(inverse(X1),inverse(X0)))))))))),
inference(backward_demodulation,[],[f183,f299]) ).
fof(f327,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(inverse(inverse(multiply(X0,inverse(inverse(inverse(multiply(inverse(X1),inverse(inverse(inverse(multiply(multiply(inverse(X0),inverse(X3)),inverse(inverse(inverse(multiply(X2,inverse(X3)))))))))))))))))) = X2,
inference(backward_demodulation,[],[f192,f299]) ).
fof(f330,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),inverse(inverse(X0))) = X0,
inference(backward_demodulation,[],[f211,f299]) ).
fof(f358,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(backward_demodulation,[],[f226,f306]) ).
fof(f360,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(backward_demodulation,[],[f249,f306]) ).
fof(f374,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),X0) = X0,
inference(forward_demodulation,[],[f330,f306]) ).
fof(f377,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(X0,inverse(inverse(inverse(multiply(inverse(X1),inverse(inverse(inverse(multiply(multiply(inverse(X0),inverse(X3)),inverse(inverse(inverse(multiply(X2,inverse(X3)))))))))))))))) = X2,
inference(forward_demodulation,[],[f327,f306]) ).
fof(f380,plain,
! [X2,X0,X1] : multiply(X2,inverse(inverse(inverse(X2)))) = multiply(X1,inverse(multiply(inverse(X0),inverse(inverse(inverse(multiply(inverse(X1),inverse(X0)))))))),
inference(forward_demodulation,[],[f324,f306]) ).
fof(f409,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(inverse(inverse(multiply(multiply(inverse(X0),inverse(X3)),inverse(inverse(inverse(multiply(X2,inverse(X3)))))))))))))) = X2,
inference(forward_demodulation,[],[f377,f306]) ).
fof(f412,plain,
! [X2,X0,X1] : multiply(X2,inverse(inverse(inverse(X2)))) = multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),inverse(X0)))))),
inference(forward_demodulation,[],[f380,f306]) ).
fof(f424,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(X0),inverse(X3)),inverse(inverse(inverse(multiply(X2,inverse(X3)))))))))))) = X2,
inference(forward_demodulation,[],[f409,f306]) ).
fof(f427,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),inverse(X0)))))),
inference(forward_demodulation,[],[f412,f306]) ).
fof(f428,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(X0),inverse(X3)),inverse(multiply(X2,inverse(X3)))))))))) = X2,
inference(forward_demodulation,[],[f424,f306]) ).
fof(f445,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(inverse(multiply(inverse(X0),inverse(multiply(multiply(inverse(multiply(X1,inverse(X1))),inverse(X2)),inverse(multiply(X3,inverse(X2))))))))) = X3,
inference(superposition,[],[f428,f358]) ).
fof(f454,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X0),inverse(multiply(multiply(inverse(multiply(X1,inverse(X1))),inverse(X2)),inverse(multiply(X3,inverse(X2))))))) = X3,
inference(forward_demodulation,[],[f445,f306]) ).
fof(f460,plain,
! [X2,X3,X1] : inverse(multiply(multiply(inverse(multiply(X1,inverse(X1))),inverse(X2)),inverse(multiply(X3,inverse(X2))))) = X3,
inference(forward_demodulation,[],[f454,f66]) ).
fof(f463,plain,
! [X2,X3] : inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(X2))))) = X3,
inference(forward_demodulation,[],[f460,f374]) ).
fof(f464,plain,
! [X2,X1] : multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)),
inference(backward_demodulation,[],[f427,f463]) ).
fof(f485,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(X1,multiply(X0,inverse(X0))),
inference(superposition,[],[f66,f464]) ).
fof(f490,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = X1,
inference(forward_demodulation,[],[f485,f306]) ).
fof(f492,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f490,f306]) ).
fof(f583,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f360,f492]) ).
fof(f584,plain,
( $false
| spl0_1 ),
inference(backward_subsumption_resolution,[],[f8,f583]) ).
fof(f585,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f584]) ).
cnf(s1,plain,
~ spl0_1,
inference(sat_conversion,[],[f9]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f585]) ).
cnf(s3,plain,
$false,
inference(rat,[],[s1,s2]) ).
fof(f586,plain,
$false,
inference(avatar_sat_refutation,[],[s3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP445-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:04:46 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 3.42/1.42 % (564062)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.42/1.42 % (564084)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2304521218:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.42/1.42 % (564081)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2178676996:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.42/1.42 % (564084)First to succeed.
% 3.42/1.42 % (564084)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-564062"
% 3.42/1.42 % (564081)Also succeeded, but the first one will report.
% 3.42/1.42 % (564073)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1877793126:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.42/1.42 % (564079)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2181474048:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.42/1.42 % (564077)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=855633018:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.42/1.42 % (564075)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2967446086:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.42/1.42 % (564085)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1468062924:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.42/1.42 % (564085)Also succeeded, but the first one will report.
% 3.42/1.42 % (564079)Instruction limit reached!
% 3.42/1.42 % (564079)------------------------------
% 3.42/1.42 % (564079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.42 % (564079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.42 % (564079)CaDiCaL version: 2.1.3
% 3.42/1.42 % (564079)Termination reason: Instruction limit
% 3.42/1.42 % (564079)Termination phase: Saturation
% 3.42/1.42 % (564079)Time elapsed: 0.128 s
% 3.42/1.42 % (564079)Peak memory usage: 89 MB
% 3.42/1.42 % (564079)Instructions burned: 136 (million)
% 3.42/1.42 % (564084)Refutation found. Thanks to Tanya!
% 3.42/1.42 % SZS status Unsatisfiable for theBenchmark
% 3.42/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 4.45/1.54 % (564084)------------------------------
% 4.45/1.54 % (564084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.54 % (564084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.54 % (564084)CaDiCaL version: 2.1.3
% 4.45/1.54 % (564084)Termination reason: Refutation
% 4.45/1.54 % (564084)Time elapsed: 0.033 s
% 4.45/1.54 % (564084)Peak memory usage: 89 MB
% 4.45/1.54 % (564084)Instructions burned: 47 (million)
% 4.45/1.54 % (564084)------------------------------
% 4.45/1.54 % (564084)------------------------------
% 4.45/1.54 % (564062)Success in time 0.565 s
% 4.45/1.54 % Vampire exiting
%------------------------------------------------------------------------------