%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT005-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 11:45:48 AM UTC 2026
% Result : Unsatisfiable 0.18s 1.81s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of formulae : 32 ( 26 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : join(X0,n0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_x_and_0) ).
fof(f7,axiom,
! [X0] : meet(X0,n0,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_x_and_0) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| meet(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ join(X0,X1,X2)
| join(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ join(X0,X1,X2)
| meet(X0,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorbtion2) ).
fof(f15,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ meet(X1,X3,X4)
| ~ meet(X0,X1,X2)
| ~ meet(X0,X4,X5)
| meet(X2,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet1) ).
fof(f16,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ meet(X2,X3,X5)
| ~ meet(X1,X3,X4)
| ~ meet(X0,X1,X2)
| meet(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet2) ).
fof(f20,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ meet(X2,X1,X4)
| ~ join(X0,X2,X3)
| ~ meet(X0,X1,X0)
| ~ join(X0,X4,X5)
| meet(X1,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modularity2) ).
fof(f21,negated_conjecture,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_a2_and_b2) ).
fof(f22,negated_conjecture,
meet(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_a_and_b) ).
fof(f24,negated_conjecture,
meet(c,r2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_c_and_r2) ).
fof(f25,negated_conjecture,
meet(r2,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_r2_and_b) ).
fof(f26,negated_conjecture,
join(a,b,c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_a_and_b) ).
fof(f28,negated_conjecture,
meet(c2,r1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_c2_and_r1) ).
fof(f29,negated_conjecture,
meet(r2,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_r2_and_a) ).
fof(f30,negated_conjecture,
join(r1,e,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_r1_and_e) ).
fof(f31,negated_conjecture,
join(r1,d,b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_r1_and_d) ).
fof(f39,plain,
meet(r1,c2,n0),
inference(unit_resulting_resolution,[],[f11,f28]) ).
fof(f168,plain,
meet(b,r2,e),
inference(unit_resulting_resolution,[],[f11,f25]) ).
fof(f200,plain,
meet(a,e,n0),
inference(unit_resulting_resolution,[],[f16,f24,f168,f22]) ).
fof(f209,plain,
meet(d,e,n0),
inference(unit_resulting_resolution,[],[f15,f7,f29,f200]) ).
fof(f248,plain,
join(e,r1,a2),
inference(unit_resulting_resolution,[],[f12,f30]) ).
fof(f687,plain,
join(b,a,c2),
inference(unit_resulting_resolution,[],[f12,f26]) ).
fof(f768,plain,
meet(r1,a2,r1),
inference(unit_resulting_resolution,[],[f14,f30]) ).
fof(f769,plain,
meet(a,c2,a),
inference(unit_resulting_resolution,[],[f14,f26]) ).
fof(f824,plain,
meet(d,c2,d),
inference(unit_resulting_resolution,[],[f15,f29,f29,f769]) ).
fof(f1101,plain,
~ meet(d,a2,n0),
inference(unit_resulting_resolution,[],[f20,f5,f21,f31,f768]) ).
fof(f2279,plain,
meet(b,c2,b),
inference(unit_resulting_resolution,[],[f14,f687]) ).
fof(f2311,plain,
meet(e,c2,e),
inference(unit_resulting_resolution,[],[f15,f25,f25,f2279]) ).
fof(f2419,plain,
meet(c2,a2,e),
inference(unit_resulting_resolution,[],[f20,f5,f39,f248,f2311]) ).
fof(f2433,plain,
meet(d,a2,n0),
inference(unit_resulting_resolution,[],[f15,f209,f824,f2419]) ).
fof(f2450,plain,
$false,
inference(forward_subsumption_resolution,[],[f2433,f1101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT005-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n015.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 13:58:31 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/1.81 % (1687742)Input is clausal, will run a generic CNF schedule.
% 0.18/1.81 % (1687748)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3144223282:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.18/1.81 % (1687747)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=279360477:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.18/1.81 % (1687749)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3498754213:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.18/1.81 % (1687753)dis-21_1_sil=8000:lcm=predicate:random_seed=2908889361: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)
% 0.18/1.81 % (1687751)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3391059509:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.18/1.81 % (1687752)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3351268873:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.18/1.81 % (1687750)lrs+10_1_sil=8000:sp=occurrence:random_seed=2047005803:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.18/1.81 % (1687750)Instruction limit reached!
% 0.18/1.81 % (1687750)------------------------------
% 0.18/1.81 % (1687750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.81 % (1687750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.81 % (1687750)CaDiCaL version: 2.1.3
% 0.18/1.81 % (1687750)Termination reason: Instruction limit
% 0.18/1.81 % (1687750)Termination phase: Saturation
% 0.18/1.81 % (1687750)Time elapsed: 0.059 s
% 0.18/1.81 % (1687750)Peak memory usage: 89 MB
% 0.18/1.81 % (1687750)Instructions burned: 108 (million)
% 0.18/1.81 % (1687751)Instruction limit reached!
% 0.18/1.81 % (1687751)------------------------------
% 0.18/1.81 % (1687751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.81 % (1687751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.81 % (1687751)CaDiCaL version: 2.1.3
% 0.18/1.81 % (1687751)Termination reason: Instruction limit
% 0.18/1.81 % (1687751)Termination phase: Saturation
% 0.18/1.81 % (1687751)Time elapsed: 0.066 s
% 0.18/1.81 % (1687751)Peak memory usage: 88 MB
% 0.18/1.81 % (1687751)Instructions burned: 115 (million)
% 0.18/1.81 % (1687753)Instruction limit reached!
% 0.18/1.81 % (1687753)------------------------------
% 0.18/1.81 % (1687753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.81 % (1687753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.81 % (1687753)CaDiCaL version: 2.1.3
% 0.18/1.81 % (1687753)Termination reason: Instruction limit
% 0.18/1.81 % (1687753)Termination phase: Saturation
% 0.18/1.81 % (1687753)Time elapsed: 0.072 s
% 0.18/1.81 % (1687753)Peak memory usage: 88 MB
% 0.18/1.81 % (1687753)Instructions burned: 118 (million)
% 0.18/1.81 % (1687752)Instruction limit reached!
% 0.18/1.81 % (1687752)------------------------------
% 0.18/1.81 % (1687752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.81 % (1687752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.81 % (1687752)CaDiCaL version: 2.1.3
% 0.18/1.81 % (1687752)Termination reason: Instruction limit
% 0.18/1.81 % (1687752)Termination phase: Saturation
% 0.18/1.81 % (1687752)Time elapsed: 0.105 s
% 0.18/1.81 % (1687752)Peak memory usage: 88 MB
% 0.18/1.81 % (1687752)Instructions burned: 180 (million)
% 0.18/1.81 % (1687762)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2270902680:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 0.18/1.81 % (1687761)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4271635092:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.18/1.81 % (1687763)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=564191297:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.18/1.81 % (1687764)lrs+10_64_to=lpo:sil=8000:random_seed=3240050559:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 0.18/1.81 % (1687761)Instruction limit reached!
% 0.18/1.81 % (1687761)------------------------------
% 0.18/1.81 % (1687761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.81 % (1687761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.81 % (1687761)CaDiCaL version: 2.1.3
% 0.18/1.81 % (1687761)Termination reason: Instruction limit
% 0.18/1.81 % (1687761)Termination phase: Saturation
% 0.18/1.81 % (1687761)Time elapsed: 0.083 s
% 0.18/1.81 % (1687761)Peak memory usage: 89 MB
% 0.18/1.81 % (1687761)Instructions burned: 144 (million)
% 0.18/1.81 % (1687762)Instruction limit reached!
% 0.18/1.81 % (1687762)------------------------------
% 0.18/1.81 % (1687762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.81 % (1687762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.81 % (1687762)CaDiCaL version: 2.1.3
% 0.18/1.81 % (1687762)Termination reason: Instruction limit
% 0.18/1.81 % (1687762)Termination phase: Saturation
% 0.18/1.81 % (1687762)Time elapsed: 0.089 s
% 0.18/1.81 % (1687762)Peak memory usage: 87 MB
% 0.18/1.81 % (1687762)Instructions burned: 189 (million)
% 0.18/1.81 % (1687764)Instruction limit reached!
% 0.18/1.81 % (1687764)------------------------------
% 0.18/1.81 % (1687764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.81 % (1687764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.81 % (1687764)CaDiCaL version: 2.1.3
% 0.18/1.81 % (1687764)Termination reason: Instruction limit
% 0.18/1.81 % (1687764)Termination phase: Saturation
% 0.18/1.81 % (1687764)Time elapsed: 0.066 s
% 0.18/1.81 % (1687764)Peak memory usage: 88 MB
% 0.18/1.81 % (1687764)Instructions burned: 126 (million)
% 0.18/1.81 % (1687763)Instruction limit reached!
% 0.18/1.81 % (1687763)------------------------------
% 0.18/1.81 % (1687763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.81 % (1687763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.81 % (1687763)CaDiCaL version: 2.1.3
% 0.18/1.81 % (1687763)Termination reason: Instruction limit
% 0.18/1.81 % (1687763)Termination phase: Saturation
% 0.18/1.81 % (1687763)Time elapsed: 0.131 s
% 0.18/1.81 % (1687763)Peak memory usage: 89 MB
% 0.18/1.81 % (1687763)Instructions burned: 219 (million)
% 0.18/1.81 % (1687748)First to succeed.
% 0.18/1.81 % (1687748)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1687742"
% 0.18/1.81 % (1687769)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=881484429:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 0.18/1.81 % (1687770)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=110760203:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 0.18/1.81 % (1687771)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2030228270:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 0.18/1.81 % (1687772)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3594067451:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 0.18/1.81 % (1687770)Instruction limit reached!
% 0.18/1.81 % (1687770)------------------------------
% 0.18/1.81 % (1687770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.81 % (1687770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.81 % (1687770)CaDiCaL version: 2.1.3
% 0.18/1.81 % (1687770)Termination reason: Instruction limit
% 0.18/1.81 % (1687770)Termination phase: Saturation
% 0.18/1.81 % (1687770)Time elapsed: 0.094 s
% 0.18/1.81 % (1687770)Peak memory usage: 90 MB
% 0.18/1.81 % (1687770)Instructions burned: 158 (million)
% 0.18/1.81 % (1687748)Refutation found. Thanks to Tanya!
% 0.18/1.81 % SZS status Unsatisfiable for theBenchmark
% 0.18/1.81 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.81 % (1687748)------------------------------
% 0.18/1.81 % (1687748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.81 % (1687748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.81 % (1687748)CaDiCaL version: 2.1.3
% 0.18/1.81 % (1687748)Termination reason: Refutation
% 0.18/1.81 % (1687748)Time elapsed: 0.425 s
% 0.18/1.81 % (1687748)Peak memory usage: 128 MB
% 0.18/1.81 % (1687748)Instructions burned: 1042 (million)
% 0.18/1.81 % (1687748)------------------------------
% 0.18/1.81 % (1687748)------------------------------
% 0.18/1.81 % (1687742)Success in time 0.734 s
% 0.18/1.81 % Vampire exiting
%------------------------------------------------------------------------------