%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP528-1 : 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 : n017.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 10:14:47 AM UTC 2026
% Result : Unsatisfiable 5.65s 1.85s
% Output : Refutation 5.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(X0,X1),divide(X2,X1))) = X2,
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(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
fof(f23,plain,
! [X0,X1] : divide(X1,inverse(divide(X0,X1))) = X0,
inference(superposition,[],[f1,f3]) ).
fof(f27,plain,
! [X2,X0,X1] : inverse(divide(divide(divide(X1,X1),X2),divide(X0,X2))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f32,plain,
! [X2,X0] : inverse(divide(inverse(X2),divide(X0,X2))) = X0,
inference(forward_demodulation,[],[f27,f3]) ).
fof(f61,plain,
! [X0,X1] : inverse(X1) = divide(divide(X0,X1),X0),
inference(superposition,[],[f23,f32]) ).
fof(f68,plain,
! [X0,X1] : divide(divide(X1,X0),inverse(X0)) = X1,
inference(superposition,[],[f1,f61]) ).
fof(f73,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f75,plain,
! [X0,X1] : multiply(X1,divide(X0,X1)) = X0,
inference(superposition,[],[f73,f23]) ).
fof(f96,plain,
! [X0,X1] : divide(X1,X0) = multiply(X1,inverse(X0)),
inference(superposition,[],[f75,f61]) ).
fof(f106,plain,
! [X0,X1] : multiply(divide(X1,X0),X0) = X1,
inference(forward_demodulation,[],[f68,f73]) ).
fof(f118,plain,
! [X0,X1] : divide(divide(X0,inverse(X1)),X1) = X0,
inference(superposition,[],[f106,f96]) ).
fof(f119,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f118,f73]) ).
fof(f130,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f75,f119]) ).
fof(f188,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f4,f130]) ).
fof(f189,plain,
$false,
inference(trivial_inequality_removal,[],[f188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP528-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n017.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 10:02:04 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 5.65/1.85 % (2309294)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.65/1.85 % (2309299)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=3737526607:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 5.65/1.85 % (2309304)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3075109075:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 5.65/1.85 % (2309301)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2598519325:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 5.65/1.85 % (2309302)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3284767114:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 5.65/1.85 % (2309305)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3203920292:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 5.65/1.85 % (2309300)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=3977693294:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 5.65/1.85 % (2309303)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3280048365:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 5.65/1.85 % (2309305)First to succeed.
% 5.65/1.85 % (2309305)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2309294"
% 5.65/1.85 % (2309304)Also succeeded, but the first one will report.
% 5.65/1.85 % (2309302)Also succeeded, but the first one will report.
% 5.65/1.85 % (2309303)Also succeeded, but the first one will report.
% 5.65/1.85 % (2309305)Refutation found. Thanks to Tanya!
% 5.65/1.85 % SZS status Unsatisfiable for theBenchmark
% 5.65/1.85 % SZS output start Proof for theBenchmark
% See solution above
% 5.65/1.85 % (2309305)------------------------------
% 5.65/1.85 % (2309305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.85 % (2309305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.85 % (2309305)CaDiCaL version: 2.1.3
% 5.65/1.85 % (2309305)Termination reason: Refutation
% 5.65/1.85 % (2309305)Time elapsed: 0.009 s
% 5.65/1.85 % (2309305)Peak memory usage: 88 MB
% 5.65/1.85 % (2309305)Instructions burned: 8 (million)
% 5.65/1.85 % (2309305)------------------------------
% 5.65/1.85 % (2309305)------------------------------
% 5.65/1.85 % (2309294)Success in time 0.699 s
% 5.65/1.85 % Vampire exiting
%------------------------------------------------------------------------------