%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LDA007-1 : TPTP v9.3.1. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:01:25 PM UTC 2026
% Result : Unsatisfiable 2.73s 1.37s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 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 : 4 ( 4 !; 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(f10,axiom,
tt = f(t,t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f12,axiom,
ts = f(t,s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f13,axiom,
tt_ts = f(tt,ts),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f16,axiom,
tk = f(t,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f18,axiom,
tsk = f(ts,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f20,negated_conjecture,
f(t,tsk) != f(tt_ts,tk),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
fof(f21,plain,
f(tt_ts,tk) != f(t,f(ts,k)),
inference(superposition,[],[f20,f18]) ).
fof(f23,plain,
f(t,f(ts,k)) != f(f(tt,ts),tk),
inference(superposition,[],[f21,f13]) ).
fof(f26,plain,
f(t,f(ts,k)) != f(f(f(t,t),ts),tk),
inference(superposition,[],[f23,f10]) ).
fof(f31,plain,
f(t,f(ts,k)) != f(f(f(t,t),ts),f(t,k)),
inference(superposition,[],[f26,f16]) ).
fof(f40,plain,
! [X0] : f(t,f(X0,s)) = f(f(t,X0),ts),
inference(superposition,[],[f1,f12]) ).
fof(f83,plain,
f(f(t,t),ts) = f(t,ts),
inference(superposition,[],[f40,f12]) ).
fof(f470,plain,
f(t,f(ts,k)) != f(f(t,ts),f(t,k)),
inference(superposition,[],[f31,f83]) ).
fof(f490,plain,
$false,
inference(forward_subsumption_resolution,[],[f470,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LDA007-1 : TPTP v9.3.1. Bugfixed v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n020.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 17:10:49 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.73/1.37 % (3620700)Input is clausal, will run a generic CNF schedule.
% 2.73/1.37 % (3620709)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1657218386:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.73/1.37 % (3620709)First to succeed.
% 2.73/1.37 % (3620709)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3620700"
% 2.73/1.37 % (3620710)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3579716711:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.73/1.37 % (3620707)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3428908786:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.73/1.37 % (3620708)lrs+10_1_sil=8000:sp=occurrence:random_seed=3593490444:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.73/1.37 % (3620706)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3784298587:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.73/1.37 % (3620711)dis-21_1_sil=8000:lcm=predicate:random_seed=2677312121:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.73/1.37 % (3620705)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2998780152:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.73/1.37 % (3620710)Also succeeded, but the first one will report.
% 2.73/1.37 % (3620708)Also succeeded, but the first one will report.
% 2.73/1.37 % (3620711)Instruction limit reached!
% 2.73/1.37 % (3620711)------------------------------
% 2.73/1.37 % (3620711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.37 % (3620711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.37 % (3620711)CaDiCaL version: 2.1.3
% 2.73/1.37 % (3620711)Termination reason: Instruction limit
% 2.73/1.37 % (3620711)Termination phase: Saturation
% 2.73/1.37 % (3620711)Time elapsed: 0.066 s
% 2.73/1.37 % (3620711)Peak memory usage: 88 MB
% 2.73/1.37 % (3620711)Instructions burned: 118 (million)
% 2.73/1.37 % (3620709)Refutation found. Thanks to Tanya!
% 2.73/1.37 % SZS status Unsatisfiable for theBenchmark
% 2.73/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.37 % (3620709)------------------------------
% 2.73/1.37 % (3620709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.37 % (3620709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.37 % (3620709)CaDiCaL version: 2.1.3
% 2.73/1.37 % (3620709)Termination reason: Refutation
% 2.73/1.37 % (3620709)Time elapsed: 0.010 s
% 2.73/1.37 % (3620709)Peak memory usage: 89 MB
% 2.73/1.37 % (3620709)Instructions burned: 25 (million)
% 2.73/1.37 % (3620709)------------------------------
% 2.73/1.37 % (3620709)------------------------------
% 2.73/1.37 % (3620700)Success in time 0.3 s
% 2.73/1.37 % Vampire exiting
%------------------------------------------------------------------------------