%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET013-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 12:39:31 PM UTC 2026
% Result : Unsatisfiable 0.17s 11.91s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 9 unt; 0 def)
% Number of atoms : 65 ( 16 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 52 ( 18 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( member(f1(X0,X1),X1)
| member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality2) ).
fof(f4,axiom,
! [X0,X1] :
( ~ member(f1(X0,X1),X1)
| ~ member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality3) ).
fof(f34,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f35,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f36,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f162,axiom,
intersection(as,bs) = cs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_of_a_and_b_is_c) ).
fof(f163,axiom,
intersection(bs,as) = ds,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_of_b_and_a_is_d) ).
fof(f164,negated_conjecture,
cs != ds,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_equals_d) ).
fof(f207,plain,
! [X0] :
( ~ member(X0,cs)
| member(X0,as) ),
inference(superposition,[],[f34,f162]) ).
fof(f208,plain,
! [X0] :
( ~ member(X0,ds)
| member(X0,bs) ),
inference(superposition,[],[f34,f163]) ).
fof(f209,plain,
! [X0] :
( ~ member(X0,cs)
| member(X0,bs) ),
inference(superposition,[],[f35,f162]) ).
fof(f210,plain,
! [X0] :
( ~ member(X0,ds)
| member(X0,as) ),
inference(superposition,[],[f35,f163]) ).
fof(f213,plain,
! [X0] :
( ~ member(X0,bs)
| ~ member(X0,as)
| member(X0,cs) ),
inference(superposition,[],[f36,f162]) ).
fof(f214,plain,
! [X0] :
( ~ member(X0,bs)
| member(X0,ds)
| ~ member(X0,as) ),
inference(superposition,[],[f36,f163]) ).
fof(f223,plain,
! [X0] :
( member(f1(X0,ds),as)
| member(f1(X0,ds),X0)
| ds = X0 ),
inference(resolution,[],[f3,f210]) ).
fof(f224,plain,
! [X0] :
( member(f1(X0,ds),bs)
| member(f1(X0,ds),X0)
| ds = X0 ),
inference(resolution,[],[f3,f208]) ).
fof(f241,plain,
( member(f1(cs,ds),as)
| cs = ds
| member(f1(cs,ds),as) ),
inference(resolution,[],[f223,f207]) ).
fof(f246,plain,
( member(f1(cs,ds),as)
| cs = ds ),
inference(duplicate_literal_removal,[],[f241]) ).
fof(f257,plain,
member(f1(cs,ds),as),
inference(forward_subsumption_resolution,[],[f246,f164]) ).
fof(f260,plain,
! [X0] :
( member(f1(X0,ds),X0)
| ds = X0
| ~ member(f1(X0,ds),as)
| member(f1(X0,ds),cs) ),
inference(resolution,[],[f224,f213]) ).
fof(f264,plain,
( member(f1(cs,ds),bs)
| cs = ds
| member(f1(cs,ds),bs) ),
inference(resolution,[],[f224,f209]) ).
fof(f270,plain,
( member(f1(cs,ds),bs)
| cs = ds ),
inference(duplicate_literal_removal,[],[f264]) ).
fof(f281,plain,
member(f1(cs,ds),bs),
inference(forward_subsumption_resolution,[],[f270,f164]) ).
fof(f282,plain,
! [X0] :
( member(f1(X0,ds),cs)
| member(f1(X0,ds),X0)
| ds = X0 ),
inference(forward_subsumption_resolution,[],[f260,f223]) ).
fof(f291,plain,
( member(f1(cs,ds),cs)
| cs = ds ),
inference(factoring,[],[f282]) ).
fof(f293,plain,
member(f1(cs,ds),cs),
inference(forward_subsumption_resolution,[],[f291,f164]) ).
fof(f301,plain,
( member(f1(cs,ds),ds)
| ~ member(f1(cs,ds),as) ),
inference(resolution,[],[f281,f214]) ).
fof(f304,plain,
member(f1(cs,ds),ds),
inference(forward_subsumption_resolution,[],[f301,f257]) ).
fof(f798,plain,
( ~ member(f1(cs,ds),cs)
| cs = ds ),
inference(resolution,[],[f304,f4]) ).
fof(f802,plain,
cs = ds,
inference(forward_subsumption_resolution,[],[f798,f293]) ).
fof(f803,plain,
$false,
inference(forward_subsumption_resolution,[],[f802,f164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET013-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/10.41 % Computer : n002.cluster.edu
% 0.11/10.41 % Model : x86_64 x86_64
% 0.11/10.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.41 % Memory : 8046.5625MB
% 0.11/10.41 % OS : Linux 6.8.0-71-generic
% 0.11/10.41 % CPULimit : 300
% 0.11/10.41 % WCLimit : 300
% 0.11/10.41 % DateTime : Mon Sep 28 00:06:19 UTC 2026
% 0.11/10.41 % CPUTime :
% 0.11/10.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/10.44 Running first-order theorem proving
% 0.11/10.44 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
% 5.67/11.72 % (4032220)Input is clausal, will run a generic CNF schedule.
% 5.67/11.72 % (4032226)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3184448501:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.67/11.72 % (4032228)lrs+10_1_sil=8000:sp=occurrence:random_seed=32097291:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.67/11.72 % (4032230)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1034005997:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.67/11.72 % (4032231)dis-21_1_sil=8000:lcm=predicate:random_seed=1533013891: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)
% 5.67/11.72 % (4032229)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2849945350:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.67/11.72 % (4032225)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=114028968:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.67/11.72 % (4032227)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1562964834:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.67/11.72 % (4032229)Refutation not found, incomplete strategy
% 5.67/11.72 % (4032229)------------------------------
% 5.67/11.72 % (4032229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.67/11.72 % (4032229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/11.72 % (4032229)CaDiCaL version: 2.1.3
% 5.67/11.72 % (4032229)Termination reason: Refutation not found, incomplete strategy
% 5.67/11.72 % (4032229)Time elapsed: 0.001 s
% 5.67/11.72 % (4032229)Peak memory usage: 88 MB
% 5.67/11.72 % (4032229)Instructions burned: 1 (million)
% 5.67/11.72 % (4032228)Refutation not found, incomplete strategy
% 5.67/11.72 % (4032228)------------------------------
% 5.67/11.72 % (4032228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.67/11.72 % (4032228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/11.72 % (4032228)CaDiCaL version: 2.1.3
% 5.67/11.72 % (4032228)Termination reason: Refutation not found, incomplete strategy
% 5.67/11.72 % (4032228)Time elapsed: 0.002 s
% 5.67/11.72 % (4032228)Peak memory usage: 88 MB
% 5.67/11.72 % (4032228)Instructions burned: 2 (million)
% 5.67/11.72 % (4032231)Instruction limit reached!
% 5.67/11.72 % (4032231)------------------------------
% 5.67/11.72 % (4032231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.67/11.72 % (4032231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/11.72 % (4032231)CaDiCaL version: 2.1.3
% 5.67/11.72 % (4032231)Termination reason: Instruction limit
% 5.67/11.72 % (4032231)Termination phase: Saturation
% 5.67/11.72 % (4032231)Time elapsed: 0.066 s
% 5.67/11.72 % (4032231)Peak memory usage: 90 MB
% 5.67/11.72 % (4032231)Instructions burned: 117 (million)
% 5.67/11.72 % (4032230)Instruction limit reached!
% 5.67/11.72 % (4032230)------------------------------
% 5.67/11.72 % (4032230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.67/11.72 % (4032230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/11.72 % (4032230)CaDiCaL version: 2.1.3
% 5.67/11.72 % (4032230)Termination reason: Instruction limit
% 5.67/11.72 % (4032230)Termination phase: Saturation
% 5.67/11.72 % (4032230)Time elapsed: 0.124 s
% 5.67/11.72 % (4032230)Peak memory usage: 90 MB
% 5.67/11.72 % (4032230)Instructions burned: 181 (million)
% 5.67/11.72 % (4032239)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=1969540910:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.67/11.72 % (4032239)Refutation not found, incomplete strategy
% 5.67/11.72 % (4032239)------------------------------
% 5.67/11.72 % (4032239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.67/11.72 % (4032239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/11.72 % (4032239)CaDiCaL version: 2.1.3
% 5.67/11.72 % (4032239)Termination reason: Refutation not found, incomplete strategy
% 5.67/11.72 % (4032239)Time elapsed: 0.001 s
% 5.67/11.72 % (4032239)Peak memory usage: 88 MB
% 5.67/11.72 % (4032239)Instructions burned: 1 (million)
% 5.67/11.72 % (4032228)------------------------------
% 0.17/11.91 % (4032228)------------------------------
% 0.17/11.91 % (4032229)------------------------------
% 0.17/11.91 % (4032229)------------------------------
% 0.17/11.91 % (4032240)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1898753000: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)
% 0.17/11.91 % (4032240)Refutation not found, incomplete strategy
% 0.17/11.91 % (4032240)------------------------------
% 0.17/11.91 % (4032240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/11.91 % (4032240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/11.91 % (4032240)CaDiCaL version: 2.1.3
% 0.17/11.91 % (4032240)Termination reason: Refutation not found, incomplete strategy
% 0.17/11.91 % (4032240)Time elapsed: 0.005 s
% 0.17/11.91 % (4032240)Peak memory usage: 88 MB
% 0.17/11.91 % (4032240)Instructions burned: 7 (million)
% 0.17/11.91 % (4032239)------------------------------
% 0.17/11.91 % (4032239)------------------------------
% 0.17/11.91 % (4032242)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3814325268:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 0.17/11.91 % (4032243)lrs+10_64_to=lpo:sil=8000:random_seed=2374786662:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 0.17/11.91 % (4032242)Refutation not found, incomplete strategy
% 0.17/11.91 % (4032242)------------------------------
% 0.17/11.91 % (4032242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/11.91 % (4032242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/11.91 % (4032242)CaDiCaL version: 2.1.3
% 0.17/11.91 % (4032242)Termination reason: Refutation not found, incomplete strategy
% 0.17/11.91 % (4032242)Time elapsed: 0.003 s
% 0.17/11.91 % (4032242)Peak memory usage: 88 MB
% 0.17/11.91 % (4032242)Instructions burned: 3 (million)
% 0.17/11.91 % (4032245)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2287400081:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 0.17/11.91 % (4032243)Instruction limit reached!
% 0.17/11.91 % (4032243)------------------------------
% 0.17/11.91 % (4032243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/11.91 % (4032243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/11.91 % (4032243)CaDiCaL version: 2.1.3
% 0.17/11.91 % (4032243)Termination reason: Instruction limit
% 0.17/11.91 % (4032243)Termination phase: Saturation
% 0.17/11.91 % (4032243)Time elapsed: 0.073 s
% 0.17/11.91 % (4032243)Peak memory usage: 90 MB
% 0.17/11.91 % (4032243)Instructions burned: 127 (million)
% 0.17/11.91 % (4032245)Instruction limit reached!
% 0.17/11.91 % (4032245)------------------------------
% 0.17/11.91 % (4032245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/11.91 % (4032245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/11.91 % (4032245)CaDiCaL version: 2.1.3
% 0.17/11.91 % (4032245)Termination reason: Instruction limit
% 0.17/11.91 % (4032245)Termination phase: Saturation
% 0.17/11.91 % (4032245)Time elapsed: 0.066 s
% 0.17/11.91 % (4032245)Peak memory usage: 90 MB
% 0.17/11.91 % (4032245)Instructions burned: 197 (million)
% 0.17/11.91 % (4032240)------------------------------
% 0.17/11.91 % (4032240)------------------------------
% 0.17/11.91 % (4032250)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2933038322:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 0.17/11.91 % (4032249)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2162856271:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 0.17/11.91 % (4032242)------------------------------
% 0.17/11.91 % (4032242)------------------------------
% 0.17/11.91 % (4032251)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=2377184595:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 0.17/11.91 % (4032249)Instruction limit reached!
% 0.17/11.91 % (4032249)------------------------------
% 0.17/11.91 % (4032249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/11.91 % (4032249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/11.91 % (4032249)CaDiCaL version: 2.1.3
% 0.17/11.91 % (4032249)Termination reason: Instruction limit
% 0.17/11.91 % (4032249)Termination phase: Saturation
% 0.17/11.91 % (4032249)Time elapsed: 0.100 s
% 0.17/11.91 % (4032249)Peak memory usage: 91 MB
% 0.17/11.91 % (4032249)Instructions burned: 157 (million)
% 0.17/11.91 % (4032225)First to succeed.
% 0.17/11.91 % (4032225)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4032220"
% 0.17/11.91 % (4032251)Instruction limit reached!
% 0.17/11.91 % (4032251)------------------------------
% 0.17/11.91 % (4032251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/11.91 % (4032251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/11.91 % (4032251)CaDiCaL version: 2.1.3
% 0.17/11.91 % (4032251)Termination reason: Instruction limit
% 0.17/11.91 % (4032251)Termination phase: Saturation
% 0.17/11.91 % (4032251)Time elapsed: 0.058 s
% 0.17/11.91 % (4032251)Peak memory usage: 89 MB
% 0.17/11.91 % (4032251)Instructions burned: 106 (million)
% 0.17/11.91 % (4032254)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3559859403:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 0.17/11.91 % (4032256)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1344745328:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 0.17/11.91 % (4032254)Instruction limit reached!
% 0.17/11.91 % (4032254)------------------------------
% 0.17/11.91 % (4032254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/11.91 % (4032254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/11.91 % (4032254)CaDiCaL version: 2.1.3
% 0.17/11.91 % (4032254)Termination reason: Instruction limit
% 0.17/11.91 % (4032254)Termination phase: Saturation
% 0.17/11.91 % (4032254)Time elapsed: 0.076 s
% 0.17/11.91 % (4032254)Peak memory usage: 90 MB
% 0.17/11.91 % (4032254)Instructions burned: 111 (million)
% 0.17/11.91 % (4032257)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=139481716:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 0.17/11.91 % (4032225)Refutation found. Thanks to Tanya!
% 0.17/11.91 % SZS status Unsatisfiable for theBenchmark
% 0.17/11.91 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/11.91 % (4032225)------------------------------
% 0.17/11.91 % (4032225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/11.91 % (4032225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/11.91 % (4032225)CaDiCaL version: 2.1.3
% 0.17/11.91 % (4032225)Termination reason: Refutation
% 0.17/11.91 % (4032225)Time elapsed: 0.684 s
% 0.17/11.91 % (4032225)Peak memory usage: 129 MB
% 0.17/11.91 % (4032225)Instructions burned: 1017 (million)
% 0.17/11.91 % (4032225)------------------------------
% 0.17/11.91 % (4032225)------------------------------
% 0.17/11.91 % (4032220)Success in time 1.078 s
% 0.17/11.91 % Vampire exiting
%------------------------------------------------------------------------------