%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL044-4 : 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 : 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 09:37:43 AM UTC 2026
% Result : Unsatisfiable 7.05s 1.42s
% Output : Refutation 7.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 19 unt; 0 def)
% Number of atoms : 21 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 10 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(n,X0),X1),X2) = apply(apply(apply(X0,X2),X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_definition) ).
fof(f3,axiom,
! [X0] :
( apply(X0,fixed_pt) != apply(fixed_pt,apply(X0,fixed_pt))
| fixed_point(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',strong_fixed_point) ).
fof(f4,negated_conjecture,
~ fixed_point(apply(apply(b,apply(apply(b,apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(apply(b,b),n))))),n)),b)),b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
fof(f5,plain,
apply(apply(apply(b,apply(apply(b,apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(apply(b,b),n))))),n)),b)),b),fixed_pt) != apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(apply(b,b),n))))),n)),b)),b),fixed_pt)),
inference(unit_resulting_resolution,[],[f3,f4]) ).
fof(f6,plain,
apply(apply(apply(b,apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(apply(b,b),n))))),n)),b),apply(b,fixed_pt)) != apply(fixed_pt,apply(apply(apply(b,apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(apply(b,b),n))))),n)),b),apply(b,fixed_pt))),
inference(forward_demodulation,[],[f5,f1]) ).
fof(f7,plain,
apply(apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(apply(b,b),n))))),n),apply(b,apply(b,fixed_pt))) != apply(fixed_pt,apply(apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(apply(b,b),n))))),n),apply(b,apply(b,fixed_pt)))),
inference(forward_demodulation,[],[f6,f1]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : apply(apply(apply(n,apply(apply(b,X0),X1)),X3),X2) = apply(apply(apply(X0,apply(X1,X2)),X3),X2),
inference(superposition,[],[f2,f1]) ).
fof(f13,plain,
! [X2,X0,X1] : apply(apply(apply(n,apply(b,X0)),X2),X1) = apply(apply(X0,apply(X1,X2)),X1),
inference(superposition,[],[f2,f1]) ).
fof(f46,plain,
! [X2,X0,X1] : apply(apply(apply(n,apply(b,apply(b,X0))),X1),X2) = apply(X0,apply(apply(X2,X1),X2)),
inference(superposition,[],[f1,f13]) ).
fof(f118,plain,
! [X2,X3,X0,X1] : apply(apply(apply(n,apply(apply(b,apply(b,X0)),X1)),X3),X2) = apply(apply(X0,apply(apply(X1,X2),X3)),X2),
inference(superposition,[],[f10,f1]) ).
fof(f142,plain,
! [X2,X0,X1] : apply(apply(apply(n,apply(apply(b,b),X0)),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
inference(superposition,[],[f1,f10]) ).
fof(f273,plain,
! [X2,X3,X0,X1] : apply(apply(apply(n,apply(b,apply(b,X3))),apply(X1,X2)),apply(X0,X2)) = apply(X3,apply(apply(apply(apply(n,apply(apply(b,b),X0)),X1),X2),apply(X0,X2))),
inference(superposition,[],[f46,f142]) ).
fof(f405,plain,
! [X2,X3,X0,X1] : apply(apply(apply(n,apply(n,apply(apply(b,apply(b,X0)),X1))),X2),X3) = apply(apply(apply(X0,apply(apply(X1,X2),X3)),X2),X3),
inference(superposition,[],[f2,f118]) ).
fof(f538,plain,
apply(apply(apply(b,apply(apply(apply(n,apply(apply(b,b),n)),n),apply(b,apply(b,fixed_pt)))),n),apply(b,apply(b,fixed_pt))) != apply(fixed_pt,apply(apply(apply(b,apply(apply(apply(n,apply(apply(b,b),n)),n),apply(b,apply(b,fixed_pt)))),n),apply(b,apply(b,fixed_pt)))),
inference(superposition,[],[f7,f405]) ).
fof(f625,plain,
apply(apply(apply(n,apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n))),n),apply(b,apply(b,fixed_pt))) != apply(fixed_pt,apply(apply(apply(n,apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n))),n),apply(b,apply(b,fixed_pt)))),
inference(forward_demodulation,[],[f538,f10]) ).
fof(f642,plain,
apply(apply(apply(apply(n,apply(apply(b,b),n)),n),apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(apply(n,apply(apply(b,b),n)),n),apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt))))),
inference(forward_demodulation,[],[f625,f142]) ).
fof(f644,plain,
apply(apply(apply(apply(n,apply(apply(b,b),n)),n),apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt)))),
inference(forward_demodulation,[],[f642,f273]) ).
fof(f645,plain,
apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt)))),
inference(forward_demodulation,[],[f644,f142]) ).
fof(f646,plain,
$false,
inference(trivial_inequality_removal,[],[f645]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : COL044-4 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.11 % Computer : n012.cluster.edu
% 0.07/0.11 % Model : x86_64 x86_64
% 0.07/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.11 % Memory : 8046.5625MB
% 0.07/0.11 % OS : Linux 6.8.0-71-generic
% 0.07/0.11 % CPULimit : 300
% 0.07/0.11 % WCLimit : 300
% 0.07/0.11 % DateTime : Mon Sep 28 21:30:19 UTC 2026
% 0.07/0.12 % CPUTime :
% 0.07/0.12 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.13 Running first-order theorem proving
% 0.07/0.13 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
% 6.36/1.32 % (3800946)Input is clausal, will run a generic CNF schedule.
% 6.36/1.32 % (3800965)dis-21_1_sil=8000:lcm=predicate:random_seed=739601110:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 6.36/1.32 % (3800965)Refutation not found, incomplete strategy
% 6.36/1.32 % (3800965)------------------------------
% 6.36/1.32 % (3800965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.32 % (3800965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.32 % (3800965)CaDiCaL version: 2.1.3
% 6.36/1.32 % (3800965)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.32 % (3800965)Time elapsed: 0.001 s
% 6.36/1.32 % (3800965)Peak memory usage: 88 MB
% 6.36/1.32 % (3800960)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1572491668:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 6.36/1.32 % (3800962)lrs+10_1_sil=8000:sp=occurrence:random_seed=2197653322:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 6.36/1.32 % (3800959)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=2642527438:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 6.36/1.32 % (3800964)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4241252782:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 6.36/1.32 % (3800961)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=905446868:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 6.36/1.32 % (3800963)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4246422437:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 6.36/1.32 % (3800963)Instruction limit reached!
% 6.36/1.32 % (3800963)------------------------------
% 6.36/1.32 % (3800963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.32 % (3800963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.32 % (3800963)CaDiCaL version: 2.1.3
% 6.36/1.32 % (3800963)Termination reason: Instruction limit
% 6.36/1.32 % (3800963)Termination phase: Saturation
% 6.36/1.32 % (3800963)Time elapsed: 0.061 s
% 6.36/1.32 % (3800963)Peak memory usage: 89 MB
% 6.36/1.32 % (3800963)Instructions burned: 115 (million)
% 6.36/1.32 % (3800962)Instruction limit reached!
% 6.36/1.32 % (3800962)------------------------------
% 6.36/1.32 % (3800962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.32 % (3800962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.32 % (3800962)CaDiCaL version: 2.1.3
% 6.36/1.32 % (3800962)Termination reason: Instruction limit
% 6.36/1.32 % (3800962)Termination phase: Saturation
% 6.36/1.32 % (3800962)Time elapsed: 0.061 s
% 6.36/1.32 % (3800962)Peak memory usage: 89 MB
% 6.36/1.32 % (3800962)Instructions burned: 107 (million)
% 6.36/1.32 % (3800964)Instruction limit reached!
% 6.36/1.32 % (3800964)------------------------------
% 6.36/1.32 % (3800964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.32 % (3800964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.32 % (3800964)CaDiCaL version: 2.1.3
% 6.36/1.32 % (3800964)Termination reason: Instruction limit
% 6.36/1.32 % (3800964)Termination phase: Saturation
% 6.36/1.32 % (3800964)Time elapsed: 0.090 s
% 6.36/1.32 % (3800964)Peak memory usage: 89 MB
% 6.36/1.32 % (3800964)Instructions burned: 181 (million)
% 6.36/1.32 % (3800965)------------------------------
% 6.36/1.32 % (3800965)------------------------------
% 6.36/1.32 % (3800983)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=4241356932:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.36/1.32 % (3800983)Refutation not found, incomplete strategy
% 6.36/1.32 % (3800983)------------------------------
% 6.36/1.32 % (3800983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.32 % (3800983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.32 % (3800983)CaDiCaL version: 2.1.3
% 6.36/1.32 % (3800983)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.32 % (3800983)Time elapsed: 0.001 s
% 6.36/1.32 % (3800983)Peak memory usage: 88 MB
% 6.36/1.32 % (3800985)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3476268228:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.05/1.42 % (3800984)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2837154389: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)
% 7.05/1.42 % (3800985)Refutation not found, incomplete strategy
% 7.05/1.42 % (3800985)------------------------------
% 7.05/1.42 % (3800985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.05/1.42 % (3800985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.42 % (3800985)CaDiCaL version: 2.1.3
% 7.05/1.42 % (3800985)Termination reason: Refutation not found, incomplete strategy
% 7.05/1.42 % (3800985)Time elapsed: 0.001 s
% 7.05/1.42 % (3800985)Peak memory usage: 88 MB
% 7.05/1.42 % (3800984)Refutation not found, incomplete strategy
% 7.05/1.42 % (3800984)------------------------------
% 7.05/1.42 % (3800984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.05/1.42 % (3800984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.42 % (3800984)CaDiCaL version: 2.1.3
% 7.05/1.42 % (3800984)Termination reason: Refutation not found, incomplete strategy
% 7.05/1.42 % (3800984)Time elapsed: 0.001 s
% 7.05/1.42 % (3800984)Peak memory usage: 88 MB
% 7.05/1.42 % (3800984)Instructions burned: 1 (million)
% 7.05/1.42 % (3800987)lrs+10_64_to=lpo:sil=8000:random_seed=3885070638:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 7.05/1.42 % (3800983)------------------------------
% 7.05/1.42 % (3800983)------------------------------
% 7.05/1.42 % (3800987)Instruction limit reached!
% 7.05/1.42 % (3800987)------------------------------
% 7.05/1.42 % (3800987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.05/1.42 % (3800987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.42 % (3800987)CaDiCaL version: 2.1.3
% 7.05/1.42 % (3800987)Termination reason: Instruction limit
% 7.05/1.42 % (3800987)Termination phase: Saturation
% 7.05/1.42 % (3800987)Time elapsed: 0.070 s
% 7.05/1.42 % (3800987)Peak memory usage: 89 MB
% 7.05/1.42 % (3800987)Instructions burned: 128 (million)
% 7.05/1.42 % (3800985)------------------------------
% 7.05/1.42 % (3800985)------------------------------
% 7.05/1.42 % (3800984)------------------------------
% 7.05/1.42 % (3800984)------------------------------
% 7.05/1.42 % (3800996)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3606214943:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 7.05/1.42 % (3800997)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1715467673:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 7.05/1.42 % (3800960)First to succeed.
% 7.05/1.42 % (3801001)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2962421495:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.05/1.42 % (3801002)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=416438874:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 7.05/1.42 % (3800960)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3800946"
% 7.05/1.42 % (3800997)Instruction limit reached!
% 7.05/1.42 % (3800997)------------------------------
% 7.05/1.42 % (3800997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.05/1.42 % (3800997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.42 % (3800997)CaDiCaL version: 2.1.3
% 7.05/1.42 % (3800997)Termination reason: Instruction limit
% 7.05/1.42 % (3800997)Termination phase: Saturation
% 7.05/1.42 % (3800997)Time elapsed: 0.088 s
% 7.05/1.42 % (3800997)Peak memory usage: 91 MB
% 7.05/1.42 % (3800997)Instructions burned: 158 (million)
% 7.05/1.42 % (3800996)Instruction limit reached!
% 7.05/1.42 % (3800996)------------------------------
% 7.05/1.42 % (3800996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.05/1.42 % (3800996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.42 % (3800996)CaDiCaL version: 2.1.3
% 7.05/1.42 % (3800996)Termination reason: Instruction limit
% 7.05/1.42 % (3800996)Termination phase: Saturation
% 7.05/1.42 % (3800996)Time elapsed: 0.095 s
% 7.05/1.42 % (3800996)Peak memory usage: 91 MB
% 7.05/1.42 % (3800996)Instructions burned: 195 (million)
% 7.05/1.42 % (3801002)Instruction limit reached!
% 7.05/1.42 % (3801002)------------------------------
% 7.05/1.42 % (3801002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.05/1.42 % (3801002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.42 % (3801002)CaDiCaL version: 2.1.3
% 7.05/1.42 % (3801002)Termination reason: Instruction limit
% 7.05/1.42 % (3801002)Termination phase: Saturation
% 7.05/1.42 % (3801002)Time elapsed: 0.055 s
% 7.05/1.42 % (3801002)Peak memory usage: 89 MB
% 7.05/1.42 % (3801002)Instructions burned: 107 (million)
% 7.05/1.42 % (3801012)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1030433324:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 7.05/1.42 % (3801012)Refutation not found, incomplete strategy
% 7.05/1.42 % (3801012)------------------------------
% 7.05/1.42 % (3801012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.05/1.42 % (3801012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.42 % (3801012)CaDiCaL version: 2.1.3
% 7.05/1.42 % (3801012)Termination reason: Refutation not found, incomplete strategy
% 7.05/1.42 % (3801012)Time elapsed: 0.0000 s
% 7.05/1.42 % (3801012)Peak memory usage: 87 MB
% 7.05/1.42 % (3801013)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3231740297:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 7.05/1.42 % (3801014)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=317409029:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 7.05/1.42 % (3800960)Refutation found. Thanks to Tanya!
% 7.05/1.42 % SZS status Unsatisfiable for theBenchmark
% 7.05/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 7.05/1.42 % (3800960)------------------------------
% 7.05/1.42 % (3800960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.05/1.42 % (3800960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.42 % (3800960)CaDiCaL version: 2.1.3
% 7.05/1.42 % (3800960)Termination reason: Refutation
% 7.05/1.42 % (3800960)Time elapsed: 0.601 s
% 7.05/1.42 % (3800960)Peak memory usage: 131 MB
% 7.05/1.42 % (3800960)Instructions burned: 1232 (million)
% 7.05/1.42 % (3800960)------------------------------
% 7.05/1.42 % (3800960)------------------------------
% 7.05/1.42 % (3800946)Success in time 0.96 s
% 7.05/1.42 % Vampire exiting
%------------------------------------------------------------------------------