%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LDA007-2 : TPTP v9.3.1. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 0.15s 0.46s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
fof(f11,axiom,
tt = f(t,t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f13,axiom,
ts = f(t,s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f14,axiom,
tt_ts = f(tt,ts),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f17,axiom,
tk = f(t,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f19,axiom,
tsk = f(ts,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f21,negated_conjecture,
f(t,tsk) != f(tt_ts,tk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
fof(f57,plain,
! [X0] : f(t,f(t,X0)) = f(tt,f(t,X0)),
inference(superposition,[],[f1,f11]) ).
fof(f72,plain,
! [X0] : f(t,f(X0,k)) = f(f(t,X0),tk),
inference(superposition,[],[f1,f17]) ).
fof(f127,plain,
f(tt,ts) = f(t,ts),
inference(superposition,[],[f57,f13]) ).
fof(f132,plain,
tt_ts = f(t,ts),
inference(forward_demodulation,[],[f127,f14]) ).
fof(f305,plain,
f(tt_ts,tk) = f(t,f(ts,k)),
inference(superposition,[],[f72,f132]) ).
fof(f312,plain,
f(t,tsk) = f(tt_ts,tk),
inference(forward_demodulation,[],[f305,f19]) ).
fof(f316,plain,
$false,
inference(forward_subsumption_resolution,[],[f312,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LDA007-2 : TPTP v9.3.1. Bugfixed v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n004.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 17:09:52 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 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
% 0.15/0.46 % (3758649)Will run a generic schedule for satisfiability detection.
% 0.15/0.46 % (3758655)% WARNING: option uhcvi not known.
% 0.15/0.46 % (3758655)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=205621609:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.46 % (3758654)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=857877538_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.46 % (3758656)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4139971518:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.46 % (3758657)dis+10_1_sil=32000:sp=arity:random_seed=4220133213:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.46 % (3758658)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1949048484:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.46 % (3758659)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1976797227:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.46 % (3758660)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=938222695:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.46 % TRYING [1]
% 0.15/0.46 % TRYING [2]
% 0.15/0.46 % TRYING [3]
% 0.15/0.46 % TRYING [4]
% 0.15/0.46 % (3758657) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3758649-3758657"...
% 0.15/0.46 % (3758657)...printing done.
% 0.15/0.46 % (3758655) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3758649-3758655"...
% 0.15/0.46 % (3758657)Refutation found. Thanks to Tanya!
% 0.15/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.46 % (3758657)------------------------------
% 0.15/0.46 % (3758657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.46 % (3758657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.46 % (3758657)CaDiCaL version: 2.1.3
% 0.15/0.46 % (3758657)Termination reason: Refutation
% 0.15/0.46 % (3758657)Time elapsed: 0.010 s
% 0.15/0.46 % (3758657)Peak memory usage: 11 MB
% 0.15/0.46 % (3758657)Instructions burned: 16 (million)
% 0.15/0.46 % (3758649)Success in time 0.05 s
% 0.15/0.46 % Vampire exiting
%------------------------------------------------------------------------------