%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n006.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 2.68s 1.33s
% Output : Refutation 2.68s
% 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(f16,plain,
! [X0] : f(n2,f(n1,X0)) = f(n3,f(n2,X0)),
inference(superposition,[],[f1,f5]) ).
fof(f41,plain,
f(n2,f(n1,n1)) = f(n3,n3),
inference(superposition,[],[f16,f5]) ).
fof(f49,plain,
f(n2,n2) = f(n3,n3),
inference(forward_demodulation,[],[f41,f4]) ).
fof(f50,plain,
u = f(n3,n3),
inference(forward_demodulation,[],[f49,f6]) ).
fof(f242,plain,
left(n3,u),
inference(superposition,[],[f2,f50]) ).
fof(f249,plain,
$false,
inference(forward_subsumption_resolution,[],[f242,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LDA003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n006.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 17:09:55 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 2.68/1.33 % (3181192)Input is clausal, will run a generic CNF schedule.
% 2.68/1.33 % (3181347)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2918038685:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.68/1.33 % (3181347)First to succeed.
% 2.68/1.33 % (3181347)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3181192"
% 2.68/1.33 % (3181342)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=1678413827:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.68/1.33 % (3181344)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1320439297:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.68/1.33 % (3181345)lrs+10_1_sil=8000:sp=occurrence:random_seed=2763715731:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.68/1.33 % (3181343)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=982770605:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.68/1.33 % (3181346)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2128989885:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.68/1.33 % (3181345)Also succeeded, but the first one will report.
% 2.68/1.33 % (3181346)Also succeeded, but the first one will report.
% 2.68/1.33 % (3181348)dis-21_1_sil=8000:lcm=predicate:random_seed=2921904566: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)
% 2.68/1.33 % (3181348)Instruction limit reached!
% 2.68/1.33 % (3181348)------------------------------
% 2.68/1.33 % (3181348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.33 % (3181348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.33 % (3181348)CaDiCaL version: 2.1.3
% 2.68/1.33 % (3181348)Termination reason: Instruction limit
% 2.68/1.33 % (3181348)Termination phase: Saturation
% 2.68/1.33 % (3181348)Time elapsed: 0.059 s
% 2.68/1.33 % (3181348)Peak memory usage: 87 MB
% 2.68/1.33 % (3181348)Instructions burned: 119 (million)
% 2.68/1.33 % (3181347)Refutation found. Thanks to Tanya!
% 2.68/1.33 % SZS status Unsatisfiable for theBenchmark
% 2.68/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 2.68/1.33 % (3181347)------------------------------
% 2.68/1.33 % (3181347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.33 % (3181347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.33 % (3181347)CaDiCaL version: 2.1.3
% 2.68/1.33 % (3181347)Termination reason: Refutation
% 2.68/1.33 % (3181347)Time elapsed: 0.005 s
% 2.68/1.33 % (3181347)Peak memory usage: 88 MB
% 2.68/1.33 % (3181347)Instructions burned: 12 (million)
% 2.68/1.33 % (3181347)------------------------------
% 2.68/1.33 % (3181347)------------------------------
% 2.68/1.33 % (3181192)Success in time 0.289 s
% 2.68/1.34 % Vampire exiting
%------------------------------------------------------------------------------