%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT394-1 : TPTP v9.3.1. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 11:47:35 AM UTC 2026
% Result : Unsatisfiable 5.66s 1.77s
% Output : Refutation 5.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 2
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(f6,negated_conjecture,
f(x0,f(x0,x0)) != f(x1,f(x1,x1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f10,plain,
! [X2,X3,X0,X1] : f(X0,X2) = f(X0,f(f(X0,X2),f(f(f(X0,X2),f(f(f(X1,X0),f(X1,X0)),f(X1,X0))),X3))),
inference(superposition,[],[f1,f1]) ).
fof(f16,plain,
! [X2,X0,X1] : f(f(X1,X0),f(X0,X2)) = f(f(X1,X0),f(f(f(X1,X0),f(X0,X2)),X0)),
inference(superposition,[],[f10,f1]) ).
fof(f30,plain,
! [X2,X0,X1] : f(f(f(f(X1,X0),f(X0,X2)),X0),f(X0,X0)) = X0,
inference(superposition,[],[f16,f1]) ).
fof(f49,plain,
! [X0] : f(f(X0,X0),f(X0,X0)) = X0,
inference(superposition,[],[f30,f30]) ).
fof(f62,plain,
! [X0,X1] : f(f(X0,X1),f(X0,f(f(X0,f(f(X0,X0),X0)),X0))) = X0,
inference(superposition,[],[f1,f49]) ).
fof(f89,plain,
! [X2,X0,X1] : f(f(X0,X1),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
inference(superposition,[],[f1,f62]) ).
fof(f90,plain,
! [X0,X1] : f(X0,X1) = f(X0,f(f(X0,X1),f(X0,X1))),
inference(superposition,[],[f10,f62]) ).
fof(f99,plain,
! [X0] : f(X0,X0) = f(X0,f(f(X0,f(f(X0,X0),X0)),X0)),
inference(superposition,[],[f49,f62]) ).
fof(f110,plain,
! [X2,X3,X0,X1] : f(f(f(f(X1,X0),f(X0,X2)),X3),f(X0,X0)) = X0,
inference(superposition,[],[f90,f1]) ).
fof(f111,plain,
! [X0,X1] : f(f(X0,X1),f(X0,X0)) = X0,
inference(superposition,[],[f90,f62]) ).
fof(f276,plain,
! [X0,X1] : f(f(X0,X1),f(X1,X1)) = X1,
inference(superposition,[],[f110,f111]) ).
fof(f352,plain,
! [X0,X1] : f(X1,X0) = f(X0,f(f(X1,X0),f(X1,X0))),
inference(superposition,[],[f111,f276]) ).
fof(f598,plain,
! [X0,X1] : f(f(X1,X0),f(X0,f(f(X1,X1),X1))) = X0,
inference(superposition,[],[f89,f90]) ).
fof(f872,plain,
! [X2,X0,X1] : f(f(X2,X1),f(X1,f(X0,f(X1,f(f(X2,X2),X2))))) = X1,
inference(superposition,[],[f89,f352]) ).
fof(f1035,plain,
! [X2,X0,X1] : f(f(f(f(X1,X0),f(X0,f(f(f(X0,f(f(X1,X1),X1)),f(f(f(X0,f(f(X1,X1),X1)),f(X0,f(f(X1,X1),X1))),f(X0,f(f(X1,X1),X1)))),f(X0,f(f(X1,X1),X1))))),X2),f(X0,f(f(X0,f(f(X1,X1),X1)),f(X0,f(f(X1,X1),X1))))) = X0,
inference(superposition,[],[f1,f99]) ).
fof(f1040,plain,
! [X2,X0,X1] : f(f(f(f(X1,X0),f(X0,f(f(f(X0,f(f(X1,X1),X1)),f(f(f(X0,f(f(X1,X1),X1)),f(X0,f(f(X1,X1),X1))),f(X0,f(f(X1,X1),X1)))),f(X0,f(f(X1,X1),X1))))),X2),f(X0,f(f(X1,X1),X1))) = X0,
inference(forward_demodulation,[],[f1035,f90]) ).
fof(f1053,plain,
! [X2,X0,X1] : f(f(X0,X2),f(X0,f(f(X1,X1),X1))) = X0,
inference(forward_demodulation,[],[f1040,f872]) ).
fof(f1140,plain,
! [X0,X1] : f(X0,X0) = f(X0,f(f(X1,X1),X1)),
inference(superposition,[],[f49,f1053]) ).
fof(f1245,plain,
! [X0,X1] : f(f(X0,X0),f(f(X1,X1),X1)) = X0,
inference(superposition,[],[f111,f1140]) ).
fof(f1283,plain,
! [X0,X1] : f(X0,X0) = f(f(f(X1,X1),X1),f(f(X0,X0),f(X0,X0))),
inference(superposition,[],[f352,f1140]) ).
fof(f1308,plain,
! [X0,X1] : f(X0,X0) = f(f(f(X1,X1),X1),X0),
inference(forward_demodulation,[],[f1283,f111]) ).
fof(f1414,plain,
! [X2,X0,X1] : f(X1,X2) = f(X1,f(f(f(X0,X0),X0),f(X1,X2))),
inference(superposition,[],[f90,f1308]) ).
fof(f1575,plain,
! [X0,X1] : f(f(X1,X1),X1) = f(X0,f(f(f(X1,X1),X1),f(f(f(X0,X0),f(X0,X0)),f(X0,X0)))),
inference(superposition,[],[f598,f1245]) ).
fof(f1577,plain,
! [X0,X1] : f(f(X1,X1),X1) = f(X0,f(f(f(X1,X1),X1),f(X0,f(X0,X0)))),
inference(forward_demodulation,[],[f1575,f111]) ).
fof(f1588,plain,
! [X0,X1] : f(f(X1,X1),X1) = f(X0,f(X0,X0)),
inference(forward_demodulation,[],[f1577,f1414]) ).
fof(f1602,plain,
! [X2,X0] : f(X0,f(X0,X0)) = f(X2,f(X2,X2)),
inference(superposition,[],[f1588,f1588]) ).
fof(f1725,plain,
$false,
inference(unit_resulting_resolution,[],[f1602,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT394-1 : TPTP v9.3.1. Released v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 15:09:35 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 5.66/1.77 % (2707786)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.66/1.77 % (2707792)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3081324053:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.66/1.77 % (2707797)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=630712074:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.66/1.77 % (2707794)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=100343994:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.66/1.77 % (2707795)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4126968248:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.66/1.77 % (2707793)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2568005108:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.66/1.77 % (2707791)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1782307487:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.66/1.77 % (2707796)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1987655605:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.66/1.77 % (2707794)Instruction limit reached!
% 5.66/1.77 % (2707794)------------------------------
% 5.66/1.77 % (2707794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.66/1.77 % (2707794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.77 % (2707794)CaDiCaL version: 2.1.3
% 5.66/1.77 % (2707794)Termination reason: Instruction limit
% 5.66/1.77 % (2707794)Termination phase: Saturation
% 5.66/1.77 % (2707794)Time elapsed: 0.080 s
% 5.66/1.77 % (2707794)Peak memory usage: 89 MB
% 5.66/1.77 % (2707794)Instructions burned: 137 (million)
% 5.66/1.77 % (2707795)Instruction limit reached!
% 5.66/1.77 % (2707795)------------------------------
% 5.66/1.77 % (2707795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.66/1.77 % (2707795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.77 % (2707795)CaDiCaL version: 2.1.3
% 5.66/1.77 % (2707795)Termination reason: Instruction limit
% 5.66/1.77 % (2707795)Termination phase: Saturation
% 5.66/1.77 % (2707795)Time elapsed: 0.098 s
% 5.66/1.77 % (2707795)Peak memory usage: 89 MB
% 5.66/1.77 % (2707795)Instructions burned: 183 (million)
% 5.66/1.77 % (2707796)Instruction limit reached!
% 5.66/1.77 % (2707796)------------------------------
% 5.66/1.77 % (2707796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.66/1.77 % (2707796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.77 % (2707796)CaDiCaL version: 2.1.3
% 5.66/1.77 % (2707796)Termination reason: Instruction limit
% 5.66/1.77 % (2707796)Termination phase: Saturation
% 5.66/1.77 % (2707796)Time elapsed: 0.155 s
% 5.66/1.77 % (2707796)Peak memory usage: 89 MB
% 5.66/1.77 % (2707796)Instructions burned: 259 (million)
% 5.66/1.77 % (2707805)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2269909793:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 5.66/1.77 % (2707806)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3817765461:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 5.66/1.77 % (2707807)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=356000385:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 5.66/1.77 % (2707792)First to succeed.
% 5.66/1.77 % (2707792)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2707786"
% 5.66/1.77 % (2707797)Also succeeded, but the first one will report.
% 5.66/1.77 % (2707807)Instruction limit reached!
% 5.66/1.77 % (2707807)------------------------------
% 5.66/1.77 % (2707807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.66/1.77 % (2707807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.77 % (2707807)CaDiCaL version: 2.1.3
% 5.66/1.77 % (2707807)Termination reason: Instruction limit
% 5.66/1.77 % (2707807)Termination phase: Saturation
% 5.66/1.77 % (2707807)Time elapsed: 0.096 s
% 5.66/1.77 % (2707807)Peak memory usage: 98 MB
% 5.66/1.77 % (2707807)Instructions burned: 217 (million)
% 5.66/1.77 % (2707792)Refutation found. Thanks to Tanya!
% 5.66/1.77 % SZS status Unsatisfiable for theBenchmark
% 5.66/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 5.66/1.77 % (2707792)------------------------------
% 5.66/1.77 % (2707792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.66/1.77 % (2707792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.77 % (2707792)CaDiCaL version: 2.1.3
% 5.66/1.77 % (2707792)Termination reason: Refutation
% 5.66/1.77 % (2707792)Time elapsed: 0.434 s
% 5.66/1.77 % (2707792)Peak memory usage: 130 MB
% 5.66/1.77 % (2707792)Instructions burned: 1153 (million)
% 5.66/1.77 % (2707792)------------------------------
% 5.66/1.77 % (2707792)------------------------------
% 5.66/1.77 % (2707786)Success in time 0.722 s
% 5.66/1.77 % Vampire exiting
%------------------------------------------------------------------------------