%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP466-1 : 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 : 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 10:14:04 AM UTC 2026
% Result : Unsatisfiable 2.68s 6.68s
% Output : Refutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 14 unt; 1 def)
% Number of atoms : 20 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 2 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 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 : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3)))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f5,definition,
( spl0_1
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f7,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_1 ),
inference(avatar_component_clause,[],[f5]) ).
fof(f8,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f3,f5]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(backward_demodulation,[],[f1,f2]) ).
fof(f13,plain,
! [X2,X3,X0,X1,X4] : divide(X4,X4) = divide(divide(X1,X1),divide(multiply(divide(X0,divide(X2,X3)),X2),multiply(X0,X3))),
inference(superposition,[],[f9,f9]) ).
fof(f47,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(superposition,[],[f13,f13]) ).
fof(f92,plain,
! [X0,X1] : divide(X0,X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f2,f47]) ).
fof(f113,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f2,f92]) ).
fof(f121,plain,
( $false
| spl0_1 ),
inference(backward_subsumption_resolution,[],[f7,f113]) ).
fof(f122,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f121]) ).
cnf(s1,plain,
~ spl0_1,
inference(sat_conversion,[],[f8]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f122]) ).
cnf(s3,plain,
$false,
inference(rat,[],[s1,s2]) ).
fof(f123,plain,
$false,
inference(avatar_sat_refutation,[],[s3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP466-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.78 % Computer : n004.cluster.edu
% 0.10/5.78 % Model : x86_64 x86_64
% 0.10/5.78 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.78 % Memory : 8046.5625MB
% 0.10/5.78 % OS : Linux 6.8.0-71-generic
% 0.10/5.78 % CPULimit : 300
% 0.10/5.78 % WCLimit : 300
% 0.10/5.78 % DateTime : Sun Sep 27 10:05:28 UTC 2026
% 0.10/5.78 % CPUTime :
% 0.10/5.78 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/5.81 Running first-order theorem proving
% 0.14/5.81 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
% 2.68/6.68 % (3273539)Detected a unit-equality problem, will run specialized UEQ schedule.
% 2.68/6.68 % (3273549)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1027361333:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 2.68/6.68 % (3273549)First to succeed.
% 2.68/6.68 % (3273549)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3273539"
% 2.68/6.68 % (3273547)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1886920627:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 2.68/6.68 % (3273544)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=2433917967:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 2.68/6.68 % (3273546)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2165370831:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 2.68/6.68 % (3273545)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=543556704:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 2.68/6.68 % (3273547)Also succeeded, but the first one will report.
% 2.68/6.68 % (3273550)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=659637442:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 2.68/6.68 % (3273550)Also succeeded, but the first one will report.
% 2.68/6.68 % (3273548)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2567554598:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 2.68/6.68 % (3273548)Also succeeded, but the first one will report.
% 2.68/6.68 % (3273549)Refutation found. Thanks to Tanya!
% 2.68/6.68 % SZS status Unsatisfiable for theBenchmark
% 2.68/6.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.68/6.68 % (3273549)------------------------------
% 2.68/6.68 % (3273549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/6.68 % (3273549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/6.68 % (3273549)CaDiCaL version: 2.1.3
% 2.68/6.68 % (3273549)Termination reason: Refutation
% 2.68/6.68 % (3273549)Time elapsed: 0.006 s
% 2.68/6.68 % (3273549)Peak memory usage: 89 MB
% 2.68/6.68 % (3273549)Instructions burned: 13 (million)
% 2.68/6.68 % (3273549)------------------------------
% 2.68/6.68 % (3273549)------------------------------
% 2.68/6.68 % (3273539)Success in time 0.318 s
% 2.68/6.68 % Vampire exiting
%------------------------------------------------------------------------------