%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LDA003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 12:01:29 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
fof(f2,axiom,
! [X0,X1] : left(X0,f(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
fof(f4,axiom,
n2 = f(n1,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,axiom,
n3 = f(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,axiom,
u = f(n2,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
~ left(n3,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
fof(f24,plain,
! [X0] : f(n2,f(n1,X0)) = f(n3,f(n2,X0)),
inference(superposition,[],[f1,f5]) ).
fof(f99,plain,
f(n2,f(n1,n1)) = f(n3,n3),
inference(superposition,[],[f24,f5]) ).
fof(f119,plain,
f(n2,n2) = f(n3,n3),
inference(forward_demodulation,[],[f99,f4]) ).
fof(f120,plain,
u = f(n3,n3),
inference(forward_demodulation,[],[f119,f6]) ).
fof(f460,plain,
left(n3,u),
inference(superposition,[],[f2,f120]) ).
fof(f474,plain,
$false,
inference(forward_subsumption_resolution,[],[f460,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LDA003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 17:10:15 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.10/0.45 % (2259889)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (2259898)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2326578148:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (2259895)% WARNING: option uhcvi not known.
% 0.10/0.45 % (2259894)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3715062849_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (2259895)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3039031373:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % (2259896)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1671027980:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (2259897)dis+10_1_sil=32000:sp=arity:random_seed=1509756409:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (2259900)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=198090295:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % (2259899)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1435582977:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % (2259898) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2259889-2259898"...
% 0.10/0.45 % (2259899) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2259889-2259899"...
% 0.10/0.45 % (2259898)...printing done.
% 0.10/0.45 % (2259895) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2259889-2259895"...
% 0.10/0.45 % (2259897) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2259889-2259897"...
% 0.10/0.45 % TRYING [4]
% 0.10/0.45 % (2259898)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (2259898)------------------------------
% 0.10/0.45 % (2259898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (2259898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (2259898)CaDiCaL version: 2.1.3
% 0.10/0.45 % (2259898)Termination reason: Refutation
% 0.10/0.45 % (2259898)Time elapsed: 0.010 s
% 0.10/0.45 % (2259898)Peak memory usage: 11 MB
% 0.10/0.45 % (2259898)Instructions burned: 25 (million)
% 0.10/0.45 % (2259889)Success in time 0.034 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------