%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT040-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 11:47:44 AM UTC 2026
% Result : Unsatisfiable 1.30s 0.58s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 39 ( 39 unt; 0 def)
% Number of atoms : 39 ( 38 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',idempotence_of_join) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
fof(f9,axiom,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_join) ).
fof(f10,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_meet) ).
fof(f11,axiom,
join(xx,yy) = join(xx,zz),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs1) ).
fof(f12,axiom,
meet(xx,yy) = meet(xx,zz),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs2) ).
fof(f13,negated_conjecture,
yy != zz,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rhs) ).
fof(f20,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f22,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f47,plain,
! [X0] : meet(xx,meet(zz,X0)) = meet(meet(xx,yy),X0),
inference(superposition,[],[f7,f12]) ).
fof(f62,plain,
! [X0] : meet(xx,meet(zz,X0)) = meet(xx,meet(yy,X0)),
inference(forward_demodulation,[],[f47,f7]) ).
fof(f247,plain,
! [X0] : join(xx,join(zz,X0)) = join(join(xx,yy),X0),
inference(superposition,[],[f8,f11]) ).
fof(f281,plain,
! [X0] : join(xx,join(zz,X0)) = join(xx,join(yy,X0)),
inference(forward_demodulation,[],[f247,f8]) ).
fof(f440,plain,
meet(xx,zz) = meet(xx,meet(yy,zz)),
inference(superposition,[],[f62,f1]) ).
fof(f470,plain,
meet(xx,yy) = meet(xx,meet(yy,zz)),
inference(forward_demodulation,[],[f440,f12]) ).
fof(f486,plain,
meet(yy,zz) = join(meet(yy,zz),meet(xx,yy)),
inference(superposition,[],[f20,f470]) ).
fof(f492,plain,
meet(yy,zz) = join(meet(xx,yy),meet(yy,zz)),
inference(forward_demodulation,[],[f486,f6]) ).
fof(f502,plain,
join(xx,zz) = join(xx,join(yy,zz)),
inference(superposition,[],[f281,f2]) ).
fof(f532,plain,
join(xx,yy) = join(xx,join(yy,zz)),
inference(forward_demodulation,[],[f502,f11]) ).
fof(f548,plain,
join(yy,zz) = meet(join(yy,zz),join(xx,yy)),
inference(superposition,[],[f22,f532]) ).
fof(f554,plain,
join(yy,zz) = meet(join(xx,yy),join(yy,zz)),
inference(forward_demodulation,[],[f548,f5]) ).
fof(f1122,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = meet(join(X0,X1),join(X1,X2)),
inference(superposition,[],[f9,f6]) ).
fof(f1432,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = join(meet(X0,X1),meet(X1,X2)),
inference(superposition,[],[f10,f5]) ).
fof(f8513,plain,
join(yy,zz) = join(yy,meet(xx,zz)),
inference(forward_demodulation,[],[f554,f1122]) ).
fof(f8514,plain,
join(yy,meet(xx,yy)) = join(yy,zz),
inference(forward_demodulation,[],[f8513,f12]) ).
fof(f8515,plain,
yy = join(yy,zz),
inference(forward_demodulation,[],[f8514,f20]) ).
fof(f8527,plain,
zz = meet(zz,yy),
inference(superposition,[],[f22,f8515]) ).
fof(f8560,plain,
zz = meet(yy,zz),
inference(forward_demodulation,[],[f8527,f5]) ).
fof(f16419,plain,
meet(yy,zz) = meet(yy,join(xx,zz)),
inference(superposition,[],[f492,f1432]) ).
fof(f16503,plain,
meet(yy,zz) = meet(yy,join(xx,yy)),
inference(forward_demodulation,[],[f16419,f11]) ).
fof(f16632,plain,
yy = meet(yy,zz),
inference(forward_demodulation,[],[f16503,f22]) ).
fof(f16733,plain,
yy = zz,
inference(superposition,[],[f8560,f16632]) ).
fof(f16798,plain,
$false,
inference(forward_subsumption_resolution,[],[f16733,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT040-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.31 % CPULimit : 300
% 0.05/0.31 % WCLimit : 300
% 0.05/0.31 % DateTime : Sun Sep 27 13:57:20 UTC 2026
% 0.05/0.31 % CPUTime :
% 0.05/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.33 Running first-order model finding
% 0.07/0.33 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
% 1.30/0.58 % (2400764)Will run a generic schedule for satisfiability detection.
% 1.30/0.58 % (2400770)% WARNING: option uhcvi not known.
% 1.30/0.58 % (2400771)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2283496453:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.30/0.58 % (2400772)dis+10_1_sil=32000:sp=arity:random_seed=1411596451:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.30/0.58 % (2400769)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3381213041_2999 on theBenchmark for (2999ds/0Mi)
% 1.30/0.58 % (2400770)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1350334523:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.30/0.58 % (2400773)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3824397816:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.30/0.58 % (2400774)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=445436809:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.30/0.58 % (2400775)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2758801051:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.30/0.58 % TRYING [1]
% 1.30/0.58 % TRYING [2]
% 1.30/0.58 % TRYING [3]
% 1.30/0.58 % TRYING [4]
% 1.30/0.58 % TRYING [5]
% 1.30/0.58 % (2400772)Instruction limit reached!
% 1.30/0.58 % (2400772)------------------------------
% 1.30/0.58 % (2400772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58 % (2400772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58 % (2400772)CaDiCaL version: 2.1.3
% 1.30/0.58 % (2400772)Termination reason: Instruction limit
% 1.30/0.58 % (2400772)Termination phase: Saturation
% 1.30/0.58 % (2400772)Time elapsed: 0.031 s
% 1.30/0.58 % (2400772)Peak memory usage: 12 MB
% 1.30/0.58 % (2400772)Instructions burned: 105 (million)
% 1.30/0.58 % (2400773)Instruction limit reached!
% 1.30/0.58 % (2400773)------------------------------
% 1.30/0.58 % (2400773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58 % (2400773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58 % (2400773)CaDiCaL version: 2.1.3
% 1.30/0.58 % (2400773)Termination reason: Instruction limit
% 1.30/0.58 % (2400773)Termination phase: Saturation
% 1.30/0.58 % (2400773)Time elapsed: 0.037 s
% 1.30/0.58 % (2400773)Peak memory usage: 12 MB
% 1.30/0.58 % (2400773)Instructions burned: 119 (million)
% 1.30/0.58 % TRYING [6]
% 1.30/0.58 % (2400774)Instruction limit reached!
% 1.30/0.58 % (2400774)------------------------------
% 1.30/0.58 % (2400774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58 % (2400774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58 % (2400774)CaDiCaL version: 2.1.3
% 1.30/0.58 % (2400774)Termination reason: Instruction limit
% 1.30/0.58 % (2400774)Termination phase: Saturation
% 1.30/0.58 % (2400774)Time elapsed: 0.042 s
% 1.30/0.58 % (2400774)Peak memory usage: 12 MB
% 1.30/0.58 % (2400774)Instructions burned: 134 (million)
% 1.30/0.58 % (2400783)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3682428349:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.30/0.58 % TRYING [1]
% 1.30/0.58 % TRYING [2]
% 1.30/0.58 % TRYING [3]
% 1.30/0.58 % TRYING [4]
% 1.30/0.58 % (2400784)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1696705728:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.30/0.58 % (2400785)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=483289817:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.30/0.58 % (2400775)Instruction limit reached!
% 1.30/0.58 % (2400775)------------------------------
% 1.30/0.58 % (2400775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58 % (2400775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58 % (2400775)CaDiCaL version: 2.1.3
% 1.30/0.58 % (2400775)Termination reason: Instruction limit
% 1.30/0.58 % (2400775)Termination phase: Saturation
% 1.30/0.58 % (2400775)Time elapsed: 0.053 s
% 1.30/0.58 % (2400775)Peak memory usage: 12 MB
% 1.30/0.58 % (2400775)Instructions burned: 161 (million)
% 1.30/0.58 % TRYING [5]
% 1.30/0.58 % (2400789)ott-21_1_sil=16000:fs=off:random_seed=1190610495:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.30/0.58 % TRYING [6]
% 1.30/0.58 % (2400784)Instruction limit reached!
% 1.30/0.58 % (2400784)------------------------------
% 1.30/0.58 % (2400784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58 % (2400784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58 % (2400784)CaDiCaL version: 2.1.3
% 1.30/0.58 % (2400784)Termination reason: Instruction limit
% 1.30/0.58 % (2400784)Termination phase: Saturation
% 1.30/0.58 % (2400784)Time elapsed: 0.045 s
% 1.30/0.58 % (2400784)Peak memory usage: 12 MB
% 1.30/0.58 % (2400784)Instructions burned: 131 (million)
% 1.30/0.58 % TRYING [7]
% 1.30/0.58 % (2400791)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=607982299:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.30/0.58 % (2400789)Instruction limit reached!
% 1.30/0.58 % (2400789)------------------------------
% 1.30/0.58 % (2400789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58 % (2400789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58 % (2400789)CaDiCaL version: 2.1.3
% 1.30/0.58 % (2400789)Termination reason: Instruction limit
% 1.30/0.58 % (2400789)Termination phase: Saturation
% 1.30/0.58 % (2400789)Time elapsed: 0.044 s
% 1.30/0.58 % (2400789)Peak memory usage: 12 MB
% 1.30/0.58 % (2400789)Instructions burned: 185 (million)
% 1.30/0.58 % (2400793)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2386745275:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.30/0.58 % TRYING [1]
% 1.30/0.58 % TRYING [2]
% 1.30/0.58 % TRYING [3]
% 1.30/0.58 % TRYING [4]
% 1.30/0.58 % TRYING [7]
% 1.30/0.58 % TRYING [5]
% 1.30/0.58 % (2400783)Instruction limit reached!
% 1.30/0.58 % (2400783)------------------------------
% 1.30/0.58 % (2400783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58 % (2400783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58 % (2400783)CaDiCaL version: 2.1.3
% 1.30/0.58 % (2400783)Termination reason: Instruction limit
% 1.30/0.58 % (2400783)Termination phase: Finite model building constraint generation
% 1.30/0.58 % (2400783)Time elapsed: 0.142 s
% 1.30/0.58 % (2400783)Peak memory usage: 29 MB
% 1.30/0.58 % (2400783)Instructions burned: 715 (million)
% 1.30/0.58 % (2400795)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2820678407:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.30/0.58 % (2400785) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2400764-2400785"...
% 1.30/0.58 % (2400785)...printing done.
% 1.30/0.58 % (2400785)Refutation found. Thanks to Tanya!
% 1.30/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.30/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.58 % (2400785)------------------------------
% 1.30/0.58 % (2400785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58 % (2400785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58 % (2400785)CaDiCaL version: 2.1.3
% 1.30/0.58 % (2400785)Termination reason: Refutation
% 1.30/0.58 % (2400785)Time elapsed: 0.159 s
% 1.30/0.58 % (2400785)Peak memory usage: 16 MB
% 1.30/0.58 % (2400785)Instructions burned: 579 (million)
% 1.30/0.58 % (2400764)Success in time 0.239 s
% 1.30/0.58 % Vampire exiting
%------------------------------------------------------------------------------