%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP580-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 10:18:09 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.49s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 5
% Syntax : Number of formulae : 50 ( 50 unt; 0 def)
% Number of atoms : 50 ( 49 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
fof(f6,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f7,plain,
double_divide(double_divide(b,a),identity) != double_divide(double_divide(a,b),identity),
inference(definition_unfolding,[],[f5,f2,f2]) ).
fof(f8,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X1),double_divide(X0,identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f6]) ).
fof(f15,plain,
! [X0] : double_divide(double_divide(double_divide(double_divide(identity,X0),identity),identity),double_divide(identity,identity)) = X0,
inference(superposition,[],[f8,f6]) ).
fof(f18,plain,
double_divide(identity,identity) = double_divide(double_divide(double_divide(identity,identity),identity),double_divide(identity,identity)),
inference(superposition,[],[f15,f6]) ).
fof(f22,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(double_divide(identity,identity),identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f18]) ).
fof(f24,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(forward_demodulation,[],[f22,f6]) ).
fof(f27,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f24]) ).
fof(f29,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(identity,identity)),
inference(forward_demodulation,[],[f27,f24]) ).
fof(f31,plain,
double_divide(identity,identity) = double_divide(identity,double_divide(identity,identity)),
inference(forward_demodulation,[],[f29,f6]) ).
fof(f32,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f31,f6]) ).
fof(f35,plain,
! [X0] : double_divide(double_divide(double_divide(double_divide(identity,X0),identity),identity),identity) = X0,
inference(superposition,[],[f15,f32]) ).
fof(f40,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),identity) = X0,
inference(superposition,[],[f8,f32]) ).
fof(f51,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),X0)),double_divide(identity,identity)) = X1,
inference(superposition,[],[f8,f35]) ).
fof(f53,plain,
! [X0] : identity = double_divide(double_divide(double_divide(double_divide(identity,X0),identity),identity),X0),
inference(superposition,[],[f6,f35]) ).
fof(f54,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,X1),X0)),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f35]) ).
fof(f55,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,X1),X0)),identity) = X1,
inference(forward_demodulation,[],[f54,f32]) ).
fof(f57,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),X0)),identity) = X1,
inference(forward_demodulation,[],[f51,f32]) ).
fof(f65,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = double_divide(double_divide(X0,identity),identity),
inference(superposition,[],[f35,f40]) ).
fof(f114,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,identity),double_divide(double_divide(X1,X0),X1)),
inference(superposition,[],[f53,f55]) ).
fof(f115,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),identity) = double_divide(double_divide(X1,X0),X1),
inference(superposition,[],[f40,f55]) ).
fof(f188,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,X0),identity),identity)),identity),
inference(superposition,[],[f65,f35]) ).
fof(f234,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,X0)),identity)),identity),
inference(forward_demodulation,[],[f188,f65]) ).
fof(f238,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(forward_demodulation,[],[f234,f57]) ).
fof(f430,plain,
! [X0] : identity = double_divide(identity,double_divide(double_divide(X0,identity),X0)),
inference(superposition,[],[f114,f32]) ).
fof(f560,plain,
! [X0] : double_divide(double_divide(double_divide(identity,identity),identity),identity) = double_divide(double_divide(X0,identity),X0),
inference(superposition,[],[f35,f430]) ).
fof(f581,plain,
! [X0] : double_divide(identity,double_divide(double_divide(identity,identity),identity)) = double_divide(double_divide(X0,identity),X0),
inference(forward_demodulation,[],[f560,f238]) ).
fof(f599,plain,
! [X0] : identity = double_divide(double_divide(X0,identity),X0),
inference(forward_demodulation,[],[f581,f430]) ).
fof(f622,plain,
! [X0] : identity = double_divide(double_divide(identity,X0),X0),
inference(superposition,[],[f599,f238]) ).
fof(f684,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(superposition,[],[f57,f622]) ).
fof(f714,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(forward_demodulation,[],[f684,f238]) ).
fof(f731,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(superposition,[],[f714,f238]) ).
fof(f820,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,X0)) = double_divide(double_divide(X1,X0),X1),
inference(forward_demodulation,[],[f115,f238]) ).
fof(f821,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),X1) = X0,
inference(forward_demodulation,[],[f820,f731]) ).
fof(f844,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[],[f821,f821]) ).
fof(f861,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(X0,double_divide(X1,identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f821]) ).
fof(f901,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(X0,double_divide(X1,identity))),identity) = X1,
inference(forward_demodulation,[],[f861,f32]) ).
fof(f925,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,double_divide(X0,double_divide(X1,identity)))) = X1,
inference(forward_demodulation,[],[f901,f238]) ).
fof(f1100,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,double_divide(X1,double_divide(identity,X0)))) = X0,
inference(superposition,[],[f925,f238]) ).
fof(f1105,plain,
! [X0,X1] : double_divide(identity,X0) = double_divide(identity,double_divide(X1,double_divide(X1,X0))),
inference(superposition,[],[f925,f821]) ).
fof(f1330,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X1,double_divide(X1,double_divide(identity,X0)))) = double_divide(X2,double_divide(X2,X0)),
inference(superposition,[],[f1100,f1105]) ).
fof(f1343,plain,
! [X2,X0] : double_divide(X2,double_divide(X2,X0)) = X0,
inference(forward_demodulation,[],[f1330,f1100]) ).
fof(f1394,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(superposition,[],[f1343,f844]) ).
fof(f1649,plain,
double_divide(double_divide(a,b),identity) != double_divide(double_divide(a,b),identity),
inference(superposition,[],[f7,f1394]) ).
fof(f1650,plain,
$false,
inference(trivial_inequality_removal,[],[f1649]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP580-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:11:15 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.49 % (1433382)Will run a generic schedule for satisfiability detection.
% 0.12/0.49 % (1433393)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2549602197:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.49 % (1433388)% WARNING: option uhcvi not known.
% 0.12/0.49 % (1433387)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3182351918_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.49 % (1433389)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2943286183:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.49 % (1433390)dis+10_1_sil=32000:sp=arity:random_seed=1461747484:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.49 % (1433391)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=125351401:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.49 % (1433392)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3236137789:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.49 % (1433388)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=171010554:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.49 % TRYING [1]
% 0.12/0.49 % TRYING [2]
% 0.12/0.49 % TRYING [3]
% 0.12/0.49 % TRYING [4]
% 0.12/0.49 % TRYING [5]
% 0.12/0.49 % (1433389) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1433382-1433389"...
% 0.12/0.49 % (1433389)...printing done.
% 0.12/0.49 % (1433389)Refutation found. Thanks to Tanya!
% 0.12/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.49 % (1433389)------------------------------
% 0.12/0.49 % (1433389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.49 % (1433389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.49 % (1433389)CaDiCaL version: 2.1.3
% 0.12/0.49 % (1433389)Termination reason: Refutation
% 0.12/0.49 % (1433389)Time elapsed: 0.032 s
% 0.12/0.49 % (1433389)Peak memory usage: 12 MB
% 0.12/0.49 % (1433389)Instructions burned: 54 (million)
% 0.12/0.49 % (1433382)Success in time 0.069 s
% 0.12/0.49 % Vampire exiting
%------------------------------------------------------------------------------