%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP526-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 10:18:01 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 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 : 35 ( 35 !; 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(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f5,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f4]) ).
fof(f6,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f17,plain,
! [X0,X1] : divide(X1,inverse(divide(X0,X1))) = X0,
inference(superposition,[],[f1,f3]) ).
fof(f18,plain,
! [X2,X0,X1] : divide(X1,X0) = divide(divide(X1,divide(X0,X2)),X2),
inference(superposition,[],[f1,f1]) ).
fof(f23,plain,
! [X0,X1] : multiply(X1,divide(X0,X1)) = X0,
inference(forward_demodulation,[],[f17,f6]) ).
fof(f28,plain,
! [X0,X1] : divide(X1,X1) = multiply(X0,inverse(X0)),
inference(superposition,[],[f23,f3]) ).
fof(f50,plain,
! [X0,X1] : divide(X1,X1) = divide(X0,X0),
inference(superposition,[],[f28,f28]) ).
fof(f53,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = X1,
inference(superposition,[],[f23,f28]) ).
fof(f108,plain,
! [X0,X1] : divide(X1,divide(X0,X0)) = X1,
inference(superposition,[],[f1,f50]) ).
fof(f196,plain,
! [X2,X0,X1] : divide(X1,divide(X2,X2)) = divide(divide(X1,inverse(X0)),X0),
inference(superposition,[],[f18,f3]) ).
fof(f229,plain,
! [X2,X0,X1] : divide(X1,divide(X2,X2)) = divide(multiply(X1,X0),X0),
inference(forward_demodulation,[],[f196,f6]) ).
fof(f235,plain,
! [X0,X1] : divide(multiply(X1,X0),X0) = X1,
inference(forward_demodulation,[],[f229,f108]) ).
fof(f244,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f23,f235]) ).
fof(f341,plain,
a2 != multiply(multiply(b2,inverse(b2)),a2),
inference(superposition,[],[f5,f244]) ).
fof(f343,plain,
a2 != multiply(a2,multiply(b2,inverse(b2))),
inference(forward_demodulation,[],[f341,f244]) ).
fof(f351,plain,
$false,
inference(forward_subsumption_resolution,[],[f343,f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP526-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n016.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 10:11:31 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 % (2399309)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (2399318)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=136219602:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (2399315)% WARNING: option uhcvi not known.
% 0.18/0.47 % (2399318) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2399309-2399318"...
% 0.18/0.47 % (2399318)...printing done.
% 0.18/0.47 % (2399315)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1362244656:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % (2399317)dis+10_1_sil=32000:sp=arity:random_seed=2083186592:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.47 % (2399316)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2035810301:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47 % (2399314)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=59202375_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47 % (2399318)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (2399318)------------------------------
% 0.18/0.47 % (2399318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (2399318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (2399318)CaDiCaL version: 2.1.3
% 0.18/0.47 % (2399318)Termination reason: Refutation
% 0.18/0.47 % (2399318)Time elapsed: 0.005 s
% 0.18/0.47 % (2399318)Peak memory usage: 11 MB
% 0.18/0.47 % (2399318)Instructions burned: 12 (million)
% 0.18/0.47 % (2399309)Success in time 0.035 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------