%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP671-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 10:18:31 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
fof(f9,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,mult(X0,X1))) = mult(mult(mult(X0,mult(X1,X2)),X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).
fof(f10,negated_conjecture,
mult(mult(a,b),a) != mult(a,mult(b,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f64,plain,
! [X0,X1] : mult(mult(X0,mult(unit,X1)),X0) = mult(mult(X0,unit),mult(X1,mult(X0,unit))),
inference(superposition,[],[f5,f9]) ).
fof(f65,plain,
! [X0,X1] : mult(mult(X0,mult(unit,X1)),X0) = mult(X0,mult(X1,X0)),
inference(forward_demodulation,[],[f64,f5]) ).
fof(f71,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = mult(mult(X0,X1),X0),
inference(forward_demodulation,[],[f65,f6]) ).
fof(f346,plain,
mult(a,mult(b,a)) != mult(a,mult(b,a)),
inference(superposition,[],[f10,f71]) ).
fof(f357,plain,
$false,
inference(trivial_inequality_removal,[],[f346]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP671-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n017.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 10:30:05 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.45 % (2348248)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (2348254)% WARNING: option uhcvi not known.
% 0.12/0.45 % (2348254)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2273387697:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.45 % (2348255)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=735610224:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.45 % (2348256)dis+10_1_sil=32000:sp=arity:random_seed=2750016708:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.45 % (2348257)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1679771688:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.45 % (2348258)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2733599261:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.45 % (2348259)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1735430610:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.45 % (2348253)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=256354871_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.45 % TRYING [1]
% 0.12/0.45 % TRYING [2]
% 0.12/0.45 % TRYING [3]
% 0.12/0.45 % TRYING [4]
% 0.12/0.45 % (2348256) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2348248-2348256"...
% 0.12/0.45 % (2348256)...printing done.
% 0.12/0.45 % (2348256)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (2348256)------------------------------
% 0.12/0.45 % (2348256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (2348256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (2348256)CaDiCaL version: 2.1.3
% 0.12/0.45 % (2348256)Termination reason: Refutation
% 0.12/0.45 % (2348256)Time elapsed: 0.009 s
% 0.12/0.45 % (2348256)Peak memory usage: 11 MB
% 0.12/0.45 % (2348256)Instructions burned: 12 (million)
% 0.12/0.45 % (2348248)Success in time 0.04 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------