%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL079-2 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 09:37:52 AM UTC 2026
% Result : Unsatisfiable 8.27s 1.94s
% Output : Refutation 8.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 23 unt; 3 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : apply(k(X0),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_definition) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(abstraction,X0),X1),X2) = apply(apply(X0,k(X2)),apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstraction) ).
fof(f3,axiom,
! [X0,X1] :
( apply(X0,n(X0,X1)) != apply(X1,n(X0,X1))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality2) ).
fof(f4,negated_conjecture,
apply(abstraction,apply(abstraction,apply(abstraction,b))) != apply(abstraction,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_TRC2a) ).
fof(f5,plain,
apply(abstraction,b) != apply(abstraction,apply(abstraction,apply(abstraction,b))),
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF0 = apply(abstraction,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f7,plain,
apply(abstraction,b) = sF0,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF1 = apply(abstraction,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f9,plain,
apply(abstraction,sF0) = sF1,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF2 = apply(abstraction,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f11,plain,
apply(abstraction,sF1) = sF2,
inference(reorient_equations,[],[f10]) ).
fof(f12,plain,
sF0 != sF2,
inference(definition_folding,[],[f5,f11,f9,f7,f7]) ).
fof(f21,plain,
! [X2,X0,X1] : apply(apply(apply(abstraction,X1),k(X0)),X2) = apply(apply(X1,k(X2)),X0),
inference(superposition,[],[f2,f1]) ).
fof(f26,plain,
! [X2,X0,X1] : apply(apply(apply(abstraction,apply(abstraction,X0)),X1),X2) = apply(apply(X0,k(apply(X1,X2))),X2),
inference(superposition,[],[f2,f21]) ).
fof(f31,plain,
! [X0,X1] : apply(apply(b,k(apply(X0,X1))),X1) = apply(apply(apply(abstraction,sF0),X0),X1),
inference(superposition,[],[f26,f7]) ).
fof(f66,plain,
! [X0,X1] : apply(apply(b,k(apply(X0,X1))),X1) = apply(apply(sF1,X0),X1),
inference(forward_demodulation,[],[f31,f9]) ).
fof(f104,plain,
! [X0,X1] : apply(apply(sF1,k(X0)),X1) = apply(apply(b,k(X0)),X1),
inference(superposition,[],[f66,f1]) ).
fof(f157,plain,
! [X0,X1] : apply(apply(sF1,k(X0)),apply(X1,X0)) = apply(apply(apply(abstraction,b),X1),X0),
inference(superposition,[],[f2,f104]) ).
fof(f170,plain,
! [X0,X1] : apply(apply(sF1,k(X0)),apply(X1,X0)) = apply(apply(sF0,X1),X0),
inference(forward_demodulation,[],[f157,f7]) ).
fof(f176,plain,
! [X0,X1] : apply(apply(sF0,X1),X0) = apply(apply(apply(abstraction,sF1),X1),X0),
inference(forward_demodulation,[],[f170,f2]) ).
fof(f180,plain,
! [X0,X1] : apply(apply(sF0,X1),X0) = apply(apply(sF2,X1),X0),
inference(forward_demodulation,[],[f176,f11]) ).
fof(f188,plain,
! [X0,X1] :
( apply(apply(sF0,X0),n(apply(sF2,X0),X1)) != apply(X1,n(apply(sF2,X0),X1))
| apply(sF2,X0) = X1 ),
inference(superposition,[],[f3,f180]) ).
fof(f213,plain,
! [X0] : apply(sF2,X0) = apply(sF0,X0),
inference(equality_resolution,[],[f188]) ).
fof(f230,plain,
! [X0] :
( apply(sF0,n(X0,sF2)) != apply(X0,n(X0,sF2))
| sF2 = X0 ),
inference(superposition,[],[f3,f213]) ).
fof(f250,plain,
sF0 = sF2,
inference(equality_resolution,[],[f230]) ).
fof(f251,plain,
$false,
inference(forward_subsumption_resolution,[],[f250,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL079-2 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:39:19 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 6.53/1.75 % (4053423)Input is clausal, will run a generic CNF schedule.
% 6.53/1.75 % (4053480)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3749021836:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.53/1.75 % (4053479)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2898725351:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.53/1.75 % (4053476)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4160770828:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.53/1.75 % (4053481)dis-21_1_sil=8000:lcm=predicate:random_seed=1295616022: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)
% 6.53/1.75 % (4053478)lrs+10_1_sil=8000:sp=occurrence:random_seed=1928509085:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.53/1.75 % (4053475)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=3792365673:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.53/1.75 % (4053477)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4263240784:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.53/1.75 % (4053481)Refutation not found, incomplete strategy
% 6.53/1.75 % (4053481)------------------------------
% 6.53/1.75 % (4053481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.75 % (4053481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.75 % (4053481)CaDiCaL version: 2.1.3
% 6.53/1.75 % (4053481)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.75 % (4053481)Time elapsed: 0.001 s
% 6.53/1.75 % (4053481)Peak memory usage: 87 MB
% 6.53/1.75 % (4053480)Instruction limit reached!
% 6.53/1.75 % (4053480)------------------------------
% 6.53/1.75 % (4053480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.75 % (4053480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.75 % (4053480)CaDiCaL version: 2.1.3
% 6.53/1.75 % (4053480)Termination reason: Instruction limit
% 6.53/1.75 % (4053480)Termination phase: Saturation
% 6.53/1.75 % (4053480)Time elapsed: 0.057 s
% 6.53/1.75 % (4053480)Peak memory usage: 90 MB
% 6.53/1.75 % (4053480)Instructions burned: 180 (million)
% 6.53/1.75 % (4053478)Instruction limit reached!
% 6.53/1.75 % (4053478)------------------------------
% 6.53/1.75 % (4053478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.75 % (4053478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.75 % (4053478)CaDiCaL version: 2.1.3
% 6.53/1.75 % (4053478)Termination reason: Instruction limit
% 6.53/1.75 % (4053478)Termination phase: Saturation
% 6.53/1.75 % (4053478)Time elapsed: 0.070 s
% 6.53/1.75 % (4053478)Peak memory usage: 89 MB
% 6.53/1.75 % (4053478)Instructions burned: 107 (million)
% 6.53/1.75 % (4053479)Instruction limit reached!
% 6.53/1.75 % (4053479)------------------------------
% 6.53/1.75 % (4053479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.75 % (4053479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.75 % (4053479)CaDiCaL version: 2.1.3
% 6.53/1.75 % (4053479)Termination reason: Instruction limit
% 6.53/1.75 % (4053479)Termination phase: Saturation
% 6.53/1.75 % (4053479)Time elapsed: 0.074 s
% 6.53/1.75 % (4053479)Peak memory usage: 88 MB
% 6.53/1.75 % (4053479)Instructions burned: 115 (million)
% 6.53/1.75 % (4053489)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=4128961488:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.53/1.75 % (4053489)Refutation not found, incomplete strategy
% 6.53/1.75 % (4053489)------------------------------
% 6.53/1.75 % (4053489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.75 % (4053489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.75 % (4053489)CaDiCaL version: 2.1.3
% 6.53/1.75 % (4053489)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.75 % (4053489)Time elapsed: 0.0000 s
% 6.53/1.75 % (4053489)Peak memory usage: 87 MB
% 6.53/1.75 % (4053490)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3499493556: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)
% 8.27/1.94 % (4053481)------------------------------
% 8.27/1.94 % (4053481)------------------------------
% 8.27/1.94 % (4053491)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=930792304:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.27/1.94 % (4053491)Refutation not found, incomplete strategy
% 8.27/1.94 % (4053491)------------------------------
% 8.27/1.94 % (4053491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.27/1.94 % (4053491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.94 % (4053491)CaDiCaL version: 2.1.3
% 8.27/1.94 % (4053491)Termination reason: Refutation not found, incomplete strategy
% 8.27/1.94 % (4053491)Time elapsed: 0.001 s
% 8.27/1.94 % (4053491)Peak memory usage: 87 MB
% 8.27/1.94 % (4053489)------------------------------
% 8.27/1.94 % (4053489)------------------------------
% 8.27/1.94 % (4053490)Instruction limit reached!
% 8.27/1.94 % (4053490)------------------------------
% 8.27/1.94 % (4053490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.27/1.94 % (4053490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.94 % (4053490)CaDiCaL version: 2.1.3
% 8.27/1.94 % (4053490)Termination reason: Instruction limit
% 8.27/1.94 % (4053490)Termination phase: Saturation
% 8.27/1.94 % (4053490)Time elapsed: 0.078 s
% 8.27/1.94 % (4053490)Peak memory usage: 92 MB
% 8.27/1.94 % (4053490)Instructions burned: 190 (million)
% 8.27/1.94 % (4053495)lrs+10_64_to=lpo:sil=8000:random_seed=4101848068:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.27/1.94 % (4053496)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=723099327:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.27/1.94 % (4053496)Instruction limit reached!
% 8.27/1.94 % (4053496)------------------------------
% 8.27/1.94 % (4053496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.27/1.94 % (4053496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.94 % (4053496)CaDiCaL version: 2.1.3
% 8.27/1.94 % (4053496)Termination reason: Instruction limit
% 8.27/1.94 % (4053496)Termination phase: Saturation
% 8.27/1.94 % (4053496)Time elapsed: 0.065 s
% 8.27/1.94 % (4053496)Peak memory usage: 90 MB
% 8.27/1.94 % (4053496)Instructions burned: 195 (million)
% 8.27/1.94 % (4053495)Instruction limit reached!
% 8.27/1.94 % (4053495)------------------------------
% 8.27/1.94 % (4053495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.27/1.94 % (4053495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.94 % (4053495)CaDiCaL version: 2.1.3
% 8.27/1.94 % (4053495)Termination reason: Instruction limit
% 8.27/1.94 % (4053495)Termination phase: Saturation
% 8.27/1.94 % (4053495)Time elapsed: 0.077 s
% 8.27/1.94 % (4053495)Peak memory usage: 88 MB
% 8.27/1.94 % (4053495)Instructions burned: 126 (million)
% 8.27/1.94 % (4053497)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1210452241:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 8.27/1.94 % (4053491)------------------------------
% 8.27/1.94 % (4053491)------------------------------
% 8.27/1.94 % (4053497)Instruction limit reached!
% 8.27/1.94 % (4053497)------------------------------
% 8.27/1.94 % (4053497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.27/1.94 % (4053497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.94 % (4053497)CaDiCaL version: 2.1.3
% 8.27/1.94 % (4053497)Termination reason: Instruction limit
% 8.27/1.94 % (4053497)Termination phase: Saturation
% 8.27/1.94 % (4053497)Time elapsed: 0.103 s
% 8.27/1.94 % (4053497)Peak memory usage: 90 MB
% 8.27/1.94 % (4053497)Instructions burned: 157 (million)
% 8.27/1.94 % (4053500)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3640742798:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.27/1.94 % (4053502)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=2082789194:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.27/1.94 % (4053475)First to succeed.
% 8.27/1.94 % (4053475)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4053423"
% 8.27/1.94 % (4053477)Also succeeded, but the first one will report.
% 8.27/1.94 % (4053503)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2743397438:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.27/1.94 % (4053502)Instruction limit reached!
% 8.27/1.94 % (4053502)------------------------------
% 8.27/1.94 % (4053502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.27/1.94 % (4053502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.94 % (4053503)Refutation not found, incomplete strategy
% 8.27/1.94 % (4053503)------------------------------
% 8.27/1.94 % (4053503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.27/1.94 % (4053502)CaDiCaL version: 2.1.3
% 8.27/1.94 % (4053503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.94 % (4053502)Termination reason: Instruction limit
% 8.27/1.94 % (4053502)Termination phase: Saturation
% 8.27/1.94 % (4053502)Time elapsed: 0.046 s
% 8.27/1.94 % (4053502)Peak memory usage: 89 MB
% 8.27/1.94 % (4053503)CaDiCaL version: 2.1.3
% 8.27/1.94 % (4053502)Instructions burned: 108 (million)
% 8.27/1.94 % (4053503)Termination reason: Refutation not found, incomplete strategy
% 8.27/1.94 % (4053503)Time elapsed: 0.001 s
% 8.27/1.94 % (4053503)Peak memory usage: 87 MB
% 8.27/1.94 % (4053476)Also succeeded, but the first one will report.
% 8.27/1.94 % (4053505)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=260519863:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.27/1.94 % (4053508)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=972267246:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.27/1.94 % (4053505)Instruction limit reached!
% 8.27/1.94 % (4053505)------------------------------
% 8.27/1.94 % (4053505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.27/1.94 % (4053505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.94 % (4053505)CaDiCaL version: 2.1.3
% 8.27/1.94 % (4053505)Termination reason: Instruction limit
% 8.27/1.94 % (4053505)Termination phase: Saturation
% 8.27/1.94 % (4053505)Time elapsed: 0.152 s
% 8.27/1.94 % (4053505)Peak memory usage: 91 MB
% 8.27/1.94 % (4053505)Instructions burned: 243 (million)
% 8.27/1.94 % (4053503)------------------------------
% 8.27/1.94 % (4053503)------------------------------
% 8.27/1.94 % (4053475)Refutation found. Thanks to Tanya!
% 8.27/1.94 % SZS status Unsatisfiable for theBenchmark
% 8.27/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 8.27/1.94 % (4053475)------------------------------
% 8.27/1.94 % (4053475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.27/1.94 % (4053475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.94 % (4053475)CaDiCaL version: 2.1.3
% 8.27/1.94 % (4053475)Termination reason: Refutation
% 8.27/1.94 % (4053475)Time elapsed: 0.654 s
% 8.27/1.94 % (4053475)Peak memory usage: 127 MB
% 8.27/1.94 % (4053475)Instructions burned: 974 (million)
% 8.27/1.94 % (4053475)------------------------------
% 8.27/1.94 % (4053475)------------------------------
% 8.27/1.94 % (4053423)Success in time 1.079 s
% 8.27/1.94 % Vampire exiting
%------------------------------------------------------------------------------