%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT394-2 : TPTP v9.3.1. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 11:48:47 AM UTC 2026
% Result : Unsatisfiable 1.96s 0.77s
% Output : Refutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 2
% Syntax : Number of formulae : 40 ( 40 unt; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 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 : 88 ( 88 !; 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(f2,negated_conjecture,
f(x0,f(x0,x0)) != f(x1,f(x1,x1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f5,plain,
! [X2,X3,X0,X1] : f(f(X0,X3),f(X0,f(f(X0,f(f(f(f(X1,X0),f(X0,X2)),f(f(X1,X0),f(X0,X2))),f(f(X1,X0),f(X0,X2)))),f(f(X0,f(f(X1,X1),X1)),X2)))) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f6,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(f12,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,[],[f6,f1]) ).
fof(f26,plain,
! [X2,X0,X1] : f(f(f(f(X1,X0),f(X0,X2)),X0),f(X0,X0)) = X0,
inference(superposition,[],[f12,f1]) ).
fof(f44,plain,
! [X0] : f(f(X0,X0),f(X0,X0)) = X0,
inference(superposition,[],[f26,f1]) ).
fof(f57,plain,
! [X0,X1] : f(f(X0,X1),f(X0,f(f(X0,f(f(X0,X0),X0)),X0))) = X0,
inference(superposition,[],[f1,f44]) ).
fof(f85,plain,
! [X0,X1] : f(X0,X1) = f(X0,f(f(X0,X1),f(X0,X1))),
inference(superposition,[],[f6,f57]) ).
fof(f100,plain,
! [X2,X3,X0,X1] : f(f(f(f(X1,X0),f(X0,X2)),X3),f(X0,X0)) = X0,
inference(superposition,[],[f85,f1]) ).
fof(f101,plain,
! [X0,X1] : f(f(X0,X1),f(X0,X0)) = X0,
inference(superposition,[],[f85,f57]) ).
fof(f131,plain,
! [X0,X1] : f(X0,X0) = f(f(f(X0,X0),X1),X0),
inference(superposition,[],[f101,f44]) ).
fof(f144,plain,
! [X2,X0] : f(X0,f(f(X0,X0),X2)) = f(X0,f(f(X0,f(f(X0,X0),X2)),f(X0,X0))),
inference(superposition,[],[f12,f101]) ).
fof(f154,plain,
! [X2,X0] : f(X0,X0) = f(X0,f(f(X0,X0),X2)),
inference(forward_demodulation,[],[f144,f101]) ).
fof(f164,plain,
! [X0,X1] : f(f(X0,X0),f(X0,X0)) = f(f(X0,X0),f(X0,X1)),
inference(superposition,[],[f12,f131]) ).
fof(f186,plain,
! [X0,X1] : f(f(X0,X0),f(X0,X1)) = X0,
inference(forward_demodulation,[],[f164,f101]) ).
fof(f192,plain,
! [X0,X1] : f(X0,X1) = f(f(f(X0,X1),f(X0,X1)),X0),
inference(superposition,[],[f186,f57]) ).
fof(f340,plain,
! [X2,X0,X1] : f(f(X0,X1),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
inference(superposition,[],[f1,f5]) ).
fof(f513,plain,
! [X0,X1] : f(f(X0,X1),f(X1,X1)) = X1,
inference(superposition,[],[f100,f57]) ).
fof(f639,plain,
! [X0,X1] : f(X1,X0) = f(X0,f(f(X1,X0),f(X1,X0))),
inference(superposition,[],[f101,f513]) ).
fof(f641,plain,
! [X0,X1] : f(f(X0,X0),f(X1,X0)) = X0,
inference(superposition,[],[f192,f513]) ).
fof(f671,plain,
! [X0,X1] : f(X0,X0) = f(X0,f(X1,f(X0,X0))),
inference(superposition,[],[f641,f513]) ).
fof(f5971,plain,
! [X0,X1] : f(f(X0,X1),f(X1,f(f(X0,X0),X0))) = X1,
inference(superposition,[],[f340,f340]) ).
fof(f6171,plain,
! [X0,X1] : f(f(f(X0,X0),X1),f(X1,f(X0,f(X0,X0)))) = X1,
inference(superposition,[],[f5971,f44]) ).
fof(f6357,plain,
! [X0,X1] : f(f(f(X0,X0),f(X0,X0)),X1) = f(f(f(X0,X0),f(X0,X0)),f(f(f(f(X0,X0),f(X0,X0)),X1),f(X0,f(X0,X0)))),
inference(superposition,[],[f6171,f154]) ).
fof(f6540,plain,
! [X0,X1] : f(X0,X1) = f(X0,f(f(X0,X1),f(X0,f(X0,X0)))),
inference(forward_demodulation,[],[f6357,f101]) ).
fof(f6627,plain,
! [X2,X0,X1] : f(f(f(f(X1,X0),f(X0,f(X0,f(X0,X0)))),X2),f(X0,f(f(X1,X1),X1))) = X0,
inference(superposition,[],[f1,f6540]) ).
fof(f6715,plain,
! [X2,X0,X1] : f(f(f(f(X1,X0),f(X0,X0)),X2),f(X0,f(f(X1,X1),X1))) = X0,
inference(forward_demodulation,[],[f6627,f671]) ).
fof(f6719,plain,
! [X2,X0,X1] : f(f(X0,X2),f(X0,f(f(X1,X1),X1))) = X0,
inference(forward_demodulation,[],[f6715,f513]) ).
fof(f6801,plain,
! [X0,X1] : f(X0,X0) = f(X0,f(f(X1,X1),X1)),
inference(superposition,[],[f85,f6719]) ).
fof(f6999,plain,
! [X0,X1] : f(f(X0,X0),f(f(X1,X1),X1)) = X0,
inference(superposition,[],[f6801,f44]) ).
fof(f7008,plain,
! [X0,X1] : f(X1,X1) = f(X1,f(X0,f(X0,X0))),
inference(superposition,[],[f6801,f44]) ).
fof(f7429,plain,
! [X0,X1] : f(f(X1,X1),f(X0,f(X0,X0))) = X1,
inference(superposition,[],[f6999,f44]) ).
fof(f7876,plain,
! [X0,X1] : f(X0,X0) = f(f(X1,f(X1,X1)),f(f(X0,X0),f(X0,X0))),
inference(superposition,[],[f639,f7008]) ).
fof(f7973,plain,
! [X0,X1] : f(X0,X0) = f(f(X1,f(X1,X1)),X0),
inference(forward_demodulation,[],[f7876,f101]) ).
fof(f9219,plain,
! [X0,X1] : f(X1,f(X1,X1)) = f(f(f(X0,X0),f(X1,f(X1,X1))),f(f(X0,f(X0,X0)),f(X0,f(X0,X0)))),
inference(superposition,[],[f6171,f7973]) ).
fof(f9220,plain,
! [X0,X1] : f(X1,f(X1,X1)) = f(X0,f(f(X0,f(X0,X0)),f(X0,f(X0,X0)))),
inference(forward_demodulation,[],[f9219,f7429]) ).
fof(f9265,plain,
! [X0,X1] : f(X0,f(X0,X0)) = f(X1,f(X1,X1)),
inference(forward_demodulation,[],[f9220,f85]) ).
fof(f9990,plain,
! [X0] : f(x0,f(x0,x0)) != f(X0,f(X0,X0)),
inference(superposition,[],[f2,f9265]) ).
fof(f10127,plain,
$false,
inference(forward_subsumption_resolution,[],[f9990,f9265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT394-2 : TPTP v9.3.1. Released v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 15:16:26 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 Running first-order model finding
% 0.10/0.39 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
% 1.96/0.77 % (682391)Will run a generic schedule for satisfiability detection.
% 1.96/0.77 % (682400)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1643871608:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.96/0.77 % (682397)% WARNING: option uhcvi not known.
% 1.96/0.77 % (682396)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2205470350_2999 on theBenchmark for (2999ds/0Mi)
% 1.96/0.77 % (682397)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=603726534:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.96/0.77 % (682398)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2948151206:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.96/0.77 % (682399)dis+10_1_sil=32000:sp=arity:random_seed=2835200452:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.96/0.77 % (682401)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1494540979:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.96/0.77 % TRYING [1]
% 1.96/0.77 % (682402)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2165305141:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.96/0.77 % TRYING [2]
% 1.96/0.77 % TRYING [3]
% 1.96/0.77 % TRYING [4]
% 1.96/0.77 % (682400)Instruction limit reached!
% 1.96/0.77 % (682400)------------------------------
% 1.96/0.77 % (682400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.77 % (682400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.77 % (682400)CaDiCaL version: 2.1.3
% 1.96/0.77 % (682400)Termination reason: Instruction limit
% 1.96/0.77 % (682400)Termination phase: Saturation
% 1.96/0.77 % (682400)Time elapsed: 0.037 s
% 1.96/0.77 % (682400)Peak memory usage: 12 MB
% 1.96/0.77 % (682400)Instructions burned: 118 (million)
% 1.96/0.77 % (682410)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3328594520:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.96/0.77 % TRYING [1]
% 1.96/0.77 % TRYING [2]
% 1.96/0.77 % TRYING [3]
% 1.96/0.77 % TRYING [4]
% 1.96/0.77 % (682399)Instruction limit reached!
% 1.96/0.77 % (682399)------------------------------
% 1.96/0.77 % (682399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.77 % (682399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.77 % (682399)CaDiCaL version: 2.1.3
% 1.96/0.77 % (682399)Termination reason: Instruction limit
% 1.96/0.77 % (682399)Termination phase: Saturation
% 1.96/0.77 % (682399)Time elapsed: 0.059 s
% 1.96/0.77 % (682399)Peak memory usage: 11 MB
% 1.96/0.77 % (682399)Instructions burned: 105 (million)
% 1.96/0.77 % (682412)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3508237495:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.96/0.77 % (682401)Instruction limit reached!
% 1.96/0.77 % (682401)------------------------------
% 1.96/0.77 % (682401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.77 % (682401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.77 % (682401)CaDiCaL version: 2.1.3
% 1.96/0.77 % (682401)Termination reason: Instruction limit
% 1.96/0.77 % (682401)Termination phase: Saturation
% 1.96/0.77 % (682401)Time elapsed: 0.079 s
% 1.96/0.77 % (682401)Peak memory usage: 13 MB
% 1.96/0.77 % (682401)Instructions burned: 131 (million)
% 1.96/0.77 % (682402)Instruction limit reached!
% 1.96/0.77 % (682402)------------------------------
% 1.96/0.77 % (682402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.77 % (682402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.77 % (682402)CaDiCaL version: 2.1.3
% 1.96/0.77 % (682402)Termination reason: Instruction limit
% 1.96/0.77 % (682402)Termination phase: Saturation
% 1.96/0.77 % (682402)Time elapsed: 0.098 s
% 1.96/0.77 % (682402)Peak memory usage: 12 MB
% 1.96/0.77 % (682402)Instructions burned: 160 (million)
% 1.96/0.77 % (682414)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4278657169:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.96/0.77 % (682416)ott-21_1_sil=16000:fs=off:random_seed=3835988099:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.96/0.77 % (682412)Instruction limit reached!
% 1.96/0.77 % (682412)------------------------------
% 1.96/0.77 % (682412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.77 % (682412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.77 % (682412)CaDiCaL version: 2.1.3
% 1.96/0.77 % (682412)Termination reason: Instruction limit
% 1.96/0.77 % (682412)Termination phase: Saturation
% 1.96/0.77 % (682412)Time elapsed: 0.079 s
% 1.96/0.77 % (682412)Peak memory usage: 12 MB
% 1.96/0.77 % (682412)Instructions burned: 132 (million)
% 1.96/0.77 % (682418)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4190538617:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.96/0.77 % TRYING [5]
% 1.96/0.77 % (682416)Instruction limit reached!
% 1.96/0.77 % (682416)------------------------------
% 1.96/0.77 % (682416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.77 % (682416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.77 % (682416)CaDiCaL version: 2.1.3
% 1.96/0.77 % (682416)Termination reason: Instruction limit
% 1.96/0.77 % (682416)Termination phase: Saturation
% 1.96/0.77 % (682416)Time elapsed: 0.099 s
% 1.96/0.77 % (682416)Peak memory usage: 12 MB
% 1.96/0.77 % (682416)Instructions burned: 181 (million)
% 1.96/0.77 % (682420)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1692104912:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.96/0.77 % TRYING [1]
% 1.96/0.77 % TRYING [2]
% 1.96/0.77 % TRYING [3]
% 1.96/0.77 % TRYING [4]
% 1.96/0.77 % (682410)Instruction limit reached!
% 1.96/0.77 % (682410)------------------------------
% 1.96/0.77 % (682410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.77 % (682410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.77 % (682410)CaDiCaL version: 2.1.3
% 1.96/0.77 % (682410)Termination reason: Instruction limit
% 1.96/0.77 % (682410)Termination phase: Finite model building SAT solving
% 1.96/0.77 % (682410)Time elapsed: 0.234 s
% 1.96/0.77 % (682410)Peak memory usage: 12 MB
% 1.96/0.77 % (682410)Instructions burned: 715 (million)
% 1.96/0.77 % (682422)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2182710123:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 1.96/0.77 % (682398) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-682391-682398"...
% 1.96/0.77 % (682398)...printing done.
% 1.96/0.77 % (682398)Refutation found. Thanks to Tanya!
% 1.96/0.77 % SZS status Unsatisfiable for theBenchmark
% 1.96/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 1.96/0.77 % (682398)------------------------------
% 1.96/0.77 % (682398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.77 % (682398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.77 % (682398)CaDiCaL version: 2.1.3
% 1.96/0.77 % (682398)Termination reason: Refutation
% 1.96/0.77 % (682398)Time elapsed: 0.335 s
% 1.96/0.77 % (682398)Peak memory usage: 17 MB
% 1.96/0.77 % (682398)Instructions burned: 650 (million)
% 1.96/0.77 % (682391)Success in time 0.372 s
% 1.96/0.77 % Vampire exiting
%------------------------------------------------------------------------------