%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP485-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 10:17:56 AM UTC 2026
% Result : Unsatisfiable 0.12s 10.49s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 48 ( 48 unt; 0 def)
% Number of atoms : 48 ( 47 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 : 9 ( 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 : 78 ( 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f6,plain,
a2 != multiply(identity,a2),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f8,plain,
a2 != double_divide(double_divide(a2,identity),identity),
inference(definition_unfolding,[],[f6,f2]) ).
fof(f11,plain,
! [X2,X0,X1] : double_divide(identity,identity) = double_divide(double_divide(X1,double_divide(X0,double_divide(double_divide(double_divide(double_divide(X1,X2),X0),double_divide(X2,identity)),identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f12,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(double_divide(X0,double_divide(identity,double_divide(X1,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f7]) ).
fof(f13,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(double_divide(X1,identity),X2),X0),double_divide(X2,identity)) = double_divide(double_divide(X1,X0),double_divide(identity,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f23,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(double_divide(X0,identity),double_divide(identity,identity)),
inference(superposition,[],[f12,f7]) ).
fof(f53,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(X0,X1),double_divide(identity,identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f13]) ).
fof(f56,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,double_divide(X1,identity))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(X0,identity),identity),X1),identity),
inference(superposition,[],[f12,f13]) ).
fof(f59,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(double_divide(double_divide(double_divide(X0,identity),identity),X1),identity),
inference(forward_demodulation,[],[f56,f12]) ).
fof(f82,plain,
! [X0] : double_divide(identity,identity) = double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,identity),identity),double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f23]) ).
fof(f85,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f82,f1]) ).
fof(f119,plain,
! [X0,X1] : double_divide(identity,identity) = double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X1,identity))),identity),
inference(superposition,[],[f12,f11]) ).
fof(f130,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X1,identity))),identity),
inference(forward_demodulation,[],[f119,f85]) ).
fof(f197,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),identity) = X0,
inference(superposition,[],[f1,f85]) ).
fof(f406,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),identity),double_divide(identity,identity)) = double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X1,identity)),
inference(superposition,[],[f13,f59]) ).
fof(f413,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),identity),identity) = double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X1,identity)),
inference(forward_demodulation,[],[f406,f23]) ).
fof(f447,plain,
! [X0] : identity = double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),X0),
inference(superposition,[],[f7,f197]) ).
fof(f452,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),X2),double_divide(identity,identity)),
inference(superposition,[],[f13,f197]) ).
fof(f455,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),X1),identity) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),X1),identity),
inference(superposition,[],[f59,f197]) ).
fof(f471,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),X2),identity),
inference(forward_demodulation,[],[f452,f85]) ).
fof(f485,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity)) = double_divide(double_divide(double_divide(X0,identity),X2),identity),
inference(forward_demodulation,[],[f471,f455]) ).
fof(f687,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X1,identity))),X2),double_divide(identity,identity))),double_divide(identity,identity)) = X2,
inference(superposition,[],[f53,f130]) ).
fof(f706,plain,
! [X0] : double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),identity),double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f53,f447]) ).
fof(f709,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,identity)) = double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(X0,X1),identity)),double_divide(identity,identity)),
inference(superposition,[],[f53,f12]) ).
fof(f717,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(X0,X1),identity)),identity) = X1,
inference(superposition,[],[f53,f85]) ).
fof(f746,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,identity)) = double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(X0,X1),identity)),identity),
inference(forward_demodulation,[],[f709,f485]) ).
fof(f749,plain,
! [X0] : double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),identity),identity),identity) = X0,
inference(forward_demodulation,[],[f706,f12]) ).
fof(f765,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X1,identity))),X2),identity)),identity) = X2,
inference(forward_demodulation,[],[f687,f85]) ).
fof(f779,plain,
! [X1] : double_divide(identity,double_divide(X1,identity)) = X1,
inference(forward_demodulation,[],[f746,f717]) ).
fof(f780,plain,
! [X0] : double_divide(double_divide(double_divide(double_divide(X0,identity),identity),identity),identity) = X0,
inference(forward_demodulation,[],[f749,f455]) ).
fof(f792,plain,
! [X2,X0] : double_divide(double_divide(identity,double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,identity),identity),identity)),X2),identity)),identity) = X2,
inference(forward_demodulation,[],[f765,f413]) ).
fof(f801,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(forward_demodulation,[],[f780,f59]) ).
fof(f808,plain,
! [X2,X0] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,identity),identity),identity)),X2),identity) = X2,
inference(forward_demodulation,[],[f792,f779]) ).
fof(f817,plain,
! [X2,X0] : double_divide(double_divide(double_divide(X0,double_divide(X0,identity)),X2),identity) = X2,
inference(forward_demodulation,[],[f808,f801]) ).
fof(f820,plain,
! [X2] : double_divide(double_divide(identity,X2),identity) = X2,
inference(forward_demodulation,[],[f817,f7]) ).
fof(f840,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,X1),double_divide(double_divide(X0,identity),identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f779]) ).
fof(f841,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,X1),double_divide(double_divide(X0,identity),identity))),identity) = X1,
inference(forward_demodulation,[],[f840,f85]) ).
fof(f853,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),double_divide(double_divide(X0,identity),identity)) = X1,
inference(forward_demodulation,[],[f841,f820]) ).
fof(f860,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(forward_demodulation,[],[f853,f801]) ).
fof(f1390,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(superposition,[],[f860,f7]) ).
fof(f1879,plain,
a2 != double_divide(double_divide(identity,a2),identity),
inference(superposition,[],[f8,f1390]) ).
fof(f1936,plain,
$false,
inference(forward_subsumption_resolution,[],[f1879,f860]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP485-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/10.40 % Computer : n026.cluster.edu
% 0.12/10.40 % Model : x86_64 x86_64
% 0.12/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.40 % Memory : 8046.5625MB
% 0.12/10.40 % OS : Linux 6.8.0-71-generic
% 0.12/10.40 % CPULimit : 300
% 0.12/10.40 % WCLimit : 300
% 0.12/10.40 % DateTime : Sun Sep 27 10:08:53 UTC 2026
% 0.12/10.40 % CPUTime :
% 0.12/10.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/10.43 Running first-order model finding
% 0.12/10.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/10.49 % (2598098)Will run a generic schedule for satisfiability detection.
% 0.12/10.49 % (2598107)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1502078085:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/10.49 % (2598104)% WARNING: option uhcvi not known.
% 0.12/10.49 % (2598106)dis+10_1_sil=32000:sp=arity:random_seed=1108630108:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/10.49 % (2598103)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=765650090_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/10.49 % (2598104)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2890102694:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/10.49 % (2598105)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3328129622:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/10.49 % (2598108)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2079424917:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/10.49 % (2598109)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3009330681:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/10.49 % TRYING [1]
% 0.12/10.49 % TRYING [2]
% 0.12/10.49 % TRYING [3]
% 0.12/10.49 % TRYING [4]
% 0.12/10.49 % TRYING [5]
% 0.12/10.49 % (2598107) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2598098-2598107"...
% 0.12/10.49 % (2598106) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2598098-2598106"...
% 0.12/10.49 % (2598107)...printing done.
% 0.12/10.49 % (2598107)Refutation found. Thanks to Tanya!
% 0.12/10.49 % SZS status Unsatisfiable for theBenchmark
% 0.12/10.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/10.50 % (2598107)------------------------------
% 0.12/10.50 % (2598107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/10.50 % (2598107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/10.50 % (2598107)CaDiCaL version: 2.1.3
% 0.12/10.50 % (2598107)Termination reason: Refutation
% 0.12/10.50 % (2598107)Time elapsed: 0.022 s
% 0.12/10.50 % (2598107)Peak memory usage: 12 MB
% 0.12/10.50 % (2598107)Instructions burned: 70 (million)
% 0.12/10.50 % (2598098)Success in time 0.049 s
% 0.12/10.50 % Vampire exiting
%------------------------------------------------------------------------------