%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET019-3 : 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 : 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 12:39:36 PM UTC 2026
% Result : Unsatisfiable 7.74s 1.78s
% Output : Refutation 7.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 28 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 9 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( member(f1(X0,X1),X1)
| member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality2) ).
fof(f4,axiom,
! [X0,X1] :
( ~ member(f1(X0,X1),X1)
| ~ member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality3) ).
fof(f79,axiom,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset1) ).
fof(f166,axiom,
subset(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_contains_b) ).
fof(f167,axiom,
subset(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_contains_a) ).
fof(f168,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove__a_equals_b) ).
fof(f169,plain,
b != a,
inference(reorient_equations,[],[f168]) ).
fof(f214,plain,
! [X0] :
( ~ member(X0,b)
| member(X0,a) ),
inference(resolution,[],[f79,f166]) ).
fof(f215,plain,
! [X0] :
( ~ member(X0,a)
| member(X0,b) ),
inference(resolution,[],[f79,f167]) ).
fof(f220,plain,
! [X0] :
( member(f1(a,X0),b)
| member(f1(a,X0),X0)
| a = X0 ),
inference(resolution,[],[f3,f215]) ).
fof(f226,plain,
( member(f1(a,b),b)
| b = a ),
inference(factoring,[],[f220]) ).
fof(f229,plain,
member(f1(a,b),b),
inference(forward_subsumption_resolution,[],[f226,f169]) ).
fof(f230,plain,
( ~ member(f1(a,b),a)
| b = a ),
inference(resolution,[],[f229,f4]) ).
fof(f231,plain,
member(f1(a,b),a),
inference(resolution,[],[f229,f214]) ).
fof(f232,plain,
b = a,
inference(forward_subsumption_resolution,[],[f230,f231]) ).
fof(f233,plain,
$false,
inference(forward_subsumption_resolution,[],[f232,f169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET019-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 00:08:10 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 6.59/1.69 % (3470963)Input is clausal, will run a generic CNF schedule.
% 6.59/1.69 % (3470973)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1068080279:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.59/1.69 % (3470974)dis-21_1_sil=8000:lcm=predicate:random_seed=1953199431: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)
% 6.59/1.69 % (3470970)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=581298154:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.59/1.69 % (3470971)lrs+10_1_sil=8000:sp=occurrence:random_seed=546498934:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.59/1.69 % (3470969)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3655289111:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.59/1.69 % (3470972)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1688395471:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.59/1.69 % (3470968)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=2180011089:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.59/1.69 % (3470971)Refutation not found, incomplete strategy
% 6.59/1.69 % (3470971)------------------------------
% 6.59/1.69 % (3470971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/1.69 % (3470971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.69 % (3470971)CaDiCaL version: 2.1.3
% 6.59/1.69 % (3470971)Termination reason: Refutation not found, incomplete strategy
% 6.59/1.69 % (3470971)Time elapsed: 0.001 s
% 6.59/1.69 % (3470971)Peak memory usage: 87 MB
% 6.59/1.69 % (3470972)Refutation not found, incomplete strategy
% 6.59/1.69 % (3470972)------------------------------
% 6.59/1.69 % (3470972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/1.69 % (3470972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.69 % (3470972)CaDiCaL version: 2.1.3
% 6.59/1.69 % (3470972)Termination reason: Refutation not found, incomplete strategy
% 6.59/1.69 % (3470972)Time elapsed: 0.001 s
% 6.59/1.69 % (3470972)Peak memory usage: 88 MB
% 6.59/1.69 % (3470973)Instruction limit reached!
% 6.59/1.69 % (3470973)------------------------------
% 6.59/1.69 % (3470973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/1.69 % (3470973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.69 % (3470973)CaDiCaL version: 2.1.3
% 6.59/1.69 % (3470973)Termination reason: Instruction limit
% 6.59/1.69 % (3470973)Termination phase: Saturation
% 6.59/1.69 % (3470973)Time elapsed: 0.068 s
% 6.59/1.69 % (3470973)Peak memory usage: 90 MB
% 6.59/1.69 % (3470973)Instructions burned: 183 (million)
% 6.59/1.69 % (3470974)Instruction limit reached!
% 6.59/1.69 % (3470974)------------------------------
% 6.59/1.69 % (3470974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/1.69 % (3470974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.69 % (3470974)CaDiCaL version: 2.1.3
% 6.59/1.69 % (3470974)Termination reason: Instruction limit
% 6.59/1.69 % (3470974)Termination phase: Saturation
% 6.59/1.69 % (3470974)Time elapsed: 0.066 s
% 6.59/1.69 % (3470974)Peak memory usage: 89 MB
% 6.59/1.69 % (3470974)Instructions burned: 117 (million)
% 6.59/1.69 % (3470983)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2778642363: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)
% 6.59/1.69 % (3470982)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=1021500948:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.59/1.69 % (3470983)Refutation not found, incomplete strategy
% 6.59/1.69 % (3470983)------------------------------
% 6.59/1.69 % (3470983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/1.69 % (3470983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.69 % (3470983)CaDiCaL version: 2.1.3
% 6.59/1.69 % (3470983)Termination reason: Refutation not found, incomplete strategy
% 7.74/1.78 % (3470983)Time elapsed: 0.006 s
% 7.74/1.78 % (3470983)Peak memory usage: 88 MB
% 7.74/1.78 % (3470983)Instructions burned: 8 (million)
% 7.74/1.78 % (3470982)Refutation not found, incomplete strategy
% 7.74/1.78 % (3470982)------------------------------
% 7.74/1.78 % (3470982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.74/1.78 % (3470982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.78 % (3470982)CaDiCaL version: 2.1.3
% 7.74/1.78 % (3470982)Termination reason: Refutation not found, incomplete strategy
% 7.74/1.78 % (3470982)Time elapsed: 0.005 s
% 7.74/1.78 % (3470982)Peak memory usage: 88 MB
% 7.74/1.78 % (3470982)Instructions burned: 12 (million)
% 7.74/1.78 % (3470971)------------------------------
% 7.74/1.78 % (3470971)------------------------------
% 7.74/1.78 % (3470972)------------------------------
% 7.74/1.78 % (3470972)------------------------------
% 7.74/1.78 % (3470982)------------------------------
% 7.74/1.78 % (3470982)------------------------------
% 7.74/1.78 % (3470987)lrs+10_64_to=lpo:sil=8000:random_seed=1566852656:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 7.74/1.78 % (3470986)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1449704575:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 7.74/1.78 % (3470983)------------------------------
% 7.74/1.78 % (3470983)------------------------------
% 7.74/1.78 % (3470987)Instruction limit reached!
% 7.74/1.78 % (3470987)------------------------------
% 7.74/1.78 % (3470987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.74/1.78 % (3470987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.78 % (3470987)CaDiCaL version: 2.1.3
% 7.74/1.78 % (3470987)Termination reason: Instruction limit
% 7.74/1.78 % (3470987)Termination phase: Saturation
% 7.74/1.78 % (3470987)Time elapsed: 0.073 s
% 7.74/1.78 % (3470987)Peak memory usage: 90 MB
% 7.74/1.78 % (3470987)Instructions burned: 126 (million)
% 7.74/1.78 % (3470988)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1729529468:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 7.74/1.78 % (3470986)Instruction limit reached!
% 7.74/1.78 % (3470986)------------------------------
% 7.74/1.78 % (3470986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.74/1.78 % (3470986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.78 % (3470986)CaDiCaL version: 2.1.3
% 7.74/1.78 % (3470986)Termination reason: Instruction limit
% 7.74/1.78 % (3470986)Termination phase: Saturation
% 7.74/1.78 % (3470986)Time elapsed: 0.122 s
% 7.74/1.78 % (3470986)Peak memory usage: 89 MB
% 7.74/1.78 % (3470986)Instructions burned: 221 (million)
% 7.74/1.78 % (3470988)Instruction limit reached!
% 7.74/1.78 % (3470988)------------------------------
% 7.74/1.78 % (3470988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.74/1.78 % (3470988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.78 % (3470988)CaDiCaL version: 2.1.3
% 7.74/1.78 % (3470988)Termination reason: Instruction limit
% 7.74/1.78 % (3470988)Termination phase: Saturation
% 7.74/1.78 % (3470988)Time elapsed: 0.069 s
% 7.74/1.78 % (3470988)Peak memory usage: 90 MB
% 7.74/1.78 % (3470988)Instructions burned: 196 (million)
% 7.74/1.78 % (3470968)First to succeed.
% 7.74/1.78 % (3470968)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3470963"
% 7.74/1.78 % (3470991)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=662046821:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 7.74/1.78 % (3470992)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=377301470:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 7.74/1.78 % (3470995)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=255383631:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 7.74/1.78 % (3470994)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=306889899:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.74/1.78 % (3470995)Instruction limit reached!
% 7.74/1.78 % (3470995)------------------------------
% 7.74/1.78 % (3470995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.74/1.78 % (3470995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.78 % (3470995)CaDiCaL version: 2.1.3
% 7.74/1.78 % (3470995)Termination reason: Instruction limit
% 7.74/1.78 % (3470995)Termination phase: Saturation
% 7.74/1.78 % (3470995)Time elapsed: 0.040 s
% 7.74/1.78 % (3470995)Peak memory usage: 90 MB
% 7.74/1.78 % (3470995)Instructions burned: 108 (million)
% 7.74/1.78 % (3470991)Instruction limit reached!
% 7.74/1.78 % (3470991)------------------------------
% 7.74/1.78 % (3470991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.74/1.78 % (3470991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.78 % (3470991)CaDiCaL version: 2.1.3
% 7.74/1.78 % (3470991)Termination reason: Instruction limit
% 7.74/1.78 % (3470991)Termination phase: Saturation
% 7.74/1.78 % (3470991)Time elapsed: 0.099 s
% 7.74/1.78 % (3470991)Peak memory usage: 91 MB
% 7.74/1.78 % (3470991)Instructions burned: 157 (million)
% 7.74/1.78 % (3470994)Instruction limit reached!
% 7.74/1.78 % (3470994)------------------------------
% 7.74/1.78 % (3470994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.74/1.78 % (3470994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.78 % (3470994)CaDiCaL version: 2.1.3
% 7.74/1.78 % (3470994)Termination reason: Instruction limit
% 7.74/1.78 % (3470994)Termination phase: Saturation
% 7.74/1.78 % (3470994)Time elapsed: 0.057 s
% 7.74/1.78 % (3470994)Peak memory usage: 89 MB
% 7.74/1.78 % (3470994)Instructions burned: 106 (million)
% 7.74/1.78 % (3471000)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1737778201:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 7.74/1.78 % (3471001)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3932613839:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 7.74/1.78 % (3470968)Refutation found. Thanks to Tanya!
% 7.74/1.78 % SZS status Unsatisfiable for theBenchmark
% 7.74/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 7.74/1.78 % (3470968)------------------------------
% 7.74/1.78 % (3470968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.74/1.78 % (3470968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.78 % (3470968)CaDiCaL version: 2.1.3
% 7.74/1.78 % (3470968)Termination reason: Refutation
% 7.74/1.78 % (3470968)Time elapsed: 0.635 s
% 7.74/1.78 % (3470968)Peak memory usage: 128 MB
% 7.74/1.78 % (3470968)Instructions burned: 960 (million)
% 7.74/1.78 % (3470968)------------------------------
% 7.74/1.78 % (3470968)------------------------------
% 7.74/1.78 % (3470963)Success in time 1.057 s
% 7.74/1.78 % Vampire exiting
%------------------------------------------------------------------------------