%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL043-2 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 14.02s 3.36s
% Output : Refutation 14.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 17 unt; 0 def)
% Number of atoms : 19 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 10 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 13 ( 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 : 26 ( 26 !; 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(h,X0),X1),X2) = apply(apply(apply(X0,X1),X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_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(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),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(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b),fixed_pt) != apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b),fixed_pt)),
inference(unit_resulting_resolution,[],[f3,f4]) ).
fof(f6,plain,
apply(apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b),apply(b,fixed_pt)) != apply(fixed_pt,apply(apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b),apply(b,fixed_pt))),
inference(forward_demodulation,[],[f5,f1]) ).
fof(f7,plain,
apply(apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h),apply(b,apply(b,fixed_pt))) != apply(fixed_pt,apply(apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h),apply(b,apply(b,fixed_pt)))),
inference(forward_demodulation,[],[f6,f1]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : apply(apply(apply(h,apply(apply(b,X0),X1)),X2),X3) = apply(apply(apply(X0,apply(X1,X2)),X3),X2),
inference(superposition,[],[f2,f1]) ).
fof(f13,plain,
! [X2,X0,X1] : apply(apply(apply(h,apply(b,X0)),X1),X2) = apply(apply(X0,apply(X1,X2)),X1),
inference(superposition,[],[f2,f1]) ).
fof(f41,plain,
! [X2,X0,X1] : apply(X0,apply(apply(X1,X2),X1)) = apply(apply(apply(h,apply(b,apply(b,X0))),X1),X2),
inference(superposition,[],[f1,f13]) ).
fof(f99,plain,
! [X2,X3,X0,X1,X4,X5] : apply(apply(apply(h,apply(apply(b,X4),apply(apply(h,apply(apply(b,X0),X1)),X2))),X3),X5) = apply(apply(apply(X4,apply(apply(apply(X0,apply(X1,X2)),X3),X2)),X5),X3),
inference(superposition,[],[f10,f10]) ).
fof(f138,plain,
! [X2,X0,X1] : apply(apply(X0,X1),apply(X2,X1)) = apply(apply(apply(h,apply(apply(b,b),X0)),X1),X2),
inference(superposition,[],[f1,f10]) ).
fof(f184,plain,
apply(apply(apply(apply(apply(b,h),apply(b,b)),apply(apply(h,apply(apply(b,h),apply(b,b))),h)),apply(b,apply(b,fixed_pt))),h) != apply(fixed_pt,apply(apply(apply(apply(apply(b,h),apply(b,b)),apply(apply(h,apply(apply(b,h),apply(b,b))),h)),apply(b,apply(b,fixed_pt))),h)),
inference(superposition,[],[f7,f10]) ).
fof(f185,plain,
apply(apply(apply(h,apply(apply(b,b),apply(apply(h,apply(apply(b,h),apply(b,b))),h))),apply(b,apply(b,fixed_pt))),h) != apply(fixed_pt,apply(apply(apply(h,apply(apply(b,b),apply(apply(h,apply(apply(b,h),apply(b,b))),h))),apply(b,apply(b,fixed_pt))),h)),
inference(forward_demodulation,[],[f184,f1]) ).
fof(f186,plain,
apply(apply(apply(b,apply(apply(apply(h,apply(apply(b,b),h)),apply(b,apply(b,fixed_pt))),h)),h),apply(b,apply(b,fixed_pt))) != apply(fixed_pt,apply(apply(apply(b,apply(apply(apply(h,apply(apply(b,b),h)),apply(b,apply(b,fixed_pt))),h)),h),apply(b,apply(b,fixed_pt)))),
inference(forward_demodulation,[],[f185,f99]) ).
fof(f187,plain,
apply(apply(apply(apply(h,apply(apply(b,b),h)),apply(b,apply(b,fixed_pt))),h),apply(h,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(apply(h,apply(apply(b,b),h)),apply(b,apply(b,fixed_pt))),h),apply(h,apply(b,apply(b,fixed_pt))))),
inference(forward_demodulation,[],[f186,f1]) ).
fof(f188,plain,
apply(apply(apply(h,apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))),apply(h,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(h,apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))),apply(h,apply(b,apply(b,fixed_pt))))),
inference(forward_demodulation,[],[f187,f138]) ).
fof(f189,plain,
$false,
inference(forward_subsumption_resolution,[],[f188,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL043-2 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.29 % Computer : n007.cluster.edu
% 0.13/0.29 % Model : x86_64 x86_64
% 0.13/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.29 % Memory : 8046.5625MB
% 0.13/0.29 % OS : Linux 6.8.0-71-generic
% 0.13/0.29 % CPULimit : 300
% 0.13/0.29 % WCLimit : 300
% 0.13/0.29 % DateTime : Mon Sep 28 21:28:26 UTC 2026
% 0.13/0.29 % CPUTime :
% 0.13/0.29 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.35 Running first-order theorem proving
% 0.28/0.35 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
% 11.90/2.97 % (2869884)Input is clausal, will run a generic CNF schedule.
% 11.90/2.97 % (2869889)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=3978856154:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.90/2.97 % (2869893)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1298060413:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.90/2.97 % (2869892)lrs+10_1_sil=8000:sp=occurrence:random_seed=1995619699:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.90/2.97 % (2869891)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1067685795:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.90/2.97 % (2869890)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3330388904:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.90/2.97 % (2869895)dis-21_1_sil=8000:lcm=predicate:random_seed=1977223927: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)
% 11.90/2.97 % (2869894)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2210504827:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.90/2.97 % (2869895)Refutation not found, incomplete strategy
% 11.90/2.97 % (2869895)------------------------------
% 11.90/2.97 % (2869895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.97 % (2869895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.97 % (2869895)CaDiCaL version: 2.1.3
% 11.90/2.97 % (2869895)Termination reason: Refutation not found, incomplete strategy
% 11.90/2.97 % (2869895)Time elapsed: 0.002 s
% 11.90/2.97 % (2869895)Peak memory usage: 88 MB
% 11.90/2.97 % (2869892)Instruction limit reached!
% 11.90/2.97 % (2869892)------------------------------
% 11.90/2.97 % (2869892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.97 % (2869892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.97 % (2869892)CaDiCaL version: 2.1.3
% 11.90/2.97 % (2869892)Termination reason: Instruction limit
% 11.90/2.97 % (2869892)Termination phase: Saturation
% 11.90/2.97 % (2869892)Time elapsed: 0.110 s
% 11.90/2.97 % (2869892)Peak memory usage: 89 MB
% 11.90/2.97 % (2869892)Instructions burned: 107 (million)
% 11.90/2.97 % (2869893)Instruction limit reached!
% 11.90/2.97 % (2869893)------------------------------
% 11.90/2.97 % (2869893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.97 % (2869893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.97 % (2869893)CaDiCaL version: 2.1.3
% 11.90/2.97 % (2869893)Termination reason: Instruction limit
% 11.90/2.97 % (2869893)Termination phase: Saturation
% 11.90/2.97 % (2869893)Time elapsed: 0.111 s
% 11.90/2.97 % (2869893)Peak memory usage: 88 MB
% 11.90/2.97 % (2869893)Instructions burned: 115 (million)
% 11.90/2.97 % (2869894)Instruction limit reached!
% 11.90/2.97 % (2869894)------------------------------
% 11.90/2.97 % (2869894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.97 % (2869894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.97 % (2869894)CaDiCaL version: 2.1.3
% 11.90/2.97 % (2869894)Termination reason: Instruction limit
% 11.90/2.97 % (2869894)Termination phase: Saturation
% 11.90/2.97 % (2869894)Time elapsed: 0.172 s
% 11.90/2.97 % (2869894)Peak memory usage: 89 MB
% 11.90/2.97 % (2869894)Instructions burned: 180 (million)
% 11.90/2.97 % (2869904)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3733221645:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 11.90/2.97 % (2869903)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=2410286202:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 11.90/2.97 % (2869903)Refutation not found, incomplete strategy
% 11.90/2.97 % (2869903)------------------------------
% 11.90/2.97 % (2869903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.97 % (2869903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.97 % (2869903)CaDiCaL version: 2.1.3
% 11.90/2.97 % (2869903)Termination reason: Refutation not found, incomplete strategy
% 14.02/3.36 % (2869903)Time elapsed: 0.002 s
% 14.02/3.36 % (2869903)Peak memory usage: 87 MB
% 14.02/3.36 % (2869904)Refutation not found, incomplete strategy
% 14.02/3.36 % (2869904)------------------------------
% 14.02/3.36 % (2869904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/3.36 % (2869904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/3.36 % (2869904)CaDiCaL version: 2.1.3
% 14.02/3.36 % (2869904)Termination reason: Refutation not found, incomplete strategy
% 14.02/3.36 % (2869904)Time elapsed: 0.003 s
% 14.02/3.36 % (2869904)Peak memory usage: 88 MB
% 14.02/3.36 % (2869904)Instructions burned: 1 (million)
% 14.02/3.36 % (2869895)------------------------------
% 14.02/3.36 % (2869895)------------------------------
% 14.02/3.36 % (2869905)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=799652859:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 14.02/3.36 % (2869905)Refutation not found, incomplete strategy
% 14.02/3.36 % (2869905)------------------------------
% 14.02/3.36 % (2869905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/3.36 % (2869905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/3.36 % (2869905)CaDiCaL version: 2.1.3
% 14.02/3.36 % (2869905)Termination reason: Refutation not found, incomplete strategy
% 14.02/3.36 % (2869905)Time elapsed: 0.002 s
% 14.02/3.36 % (2869905)Peak memory usage: 87 MB
% 14.02/3.36 % (2869908)lrs+10_64_to=lpo:sil=8000:random_seed=2118036399:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 14.02/3.36 % (2869908)Instruction limit reached!
% 14.02/3.36 % (2869908)------------------------------
% 14.02/3.36 % (2869908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/3.36 % (2869908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/3.36 % (2869908)CaDiCaL version: 2.1.3
% 14.02/3.36 % (2869908)Termination reason: Instruction limit
% 14.02/3.36 % (2869908)Termination phase: Saturation
% 14.02/3.36 % (2869908)Time elapsed: 0.075 s
% 14.02/3.36 % (2869908)Peak memory usage: 90 MB
% 14.02/3.36 % (2869908)Instructions burned: 128 (million)
% 14.02/3.36 % (2869904)------------------------------
% 14.02/3.36 % (2869904)------------------------------
% 14.02/3.36 % (2869903)------------------------------
% 14.02/3.36 % (2869903)------------------------------
% 14.02/3.36 % (2869905)------------------------------
% 14.02/3.36 % (2869905)------------------------------
% 14.02/3.36 % (2869911)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=61131196:avsq=on:i=194:fgj=on:bd=preordered_2989 on theBenchmark for (2989ds/194Mi)
% 14.02/3.36 % (2869912)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3620512250:i=157:gtg=all_2989 on theBenchmark for (2989ds/157Mi)
% 14.02/3.36 % (2869913)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2679216849:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 14.02/3.36 % (2869890)First to succeed.
% 14.02/3.36 % (2869890)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2869884"
% 14.02/3.36 % (2869914)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=809485486:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 14.02/3.36 % (2869912)Instruction limit reached!
% 14.02/3.36 % (2869912)------------------------------
% 14.02/3.36 % (2869912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/3.36 % (2869912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/3.36 % (2869912)CaDiCaL version: 2.1.3
% 14.02/3.36 % (2869912)Termination reason: Instruction limit
% 14.02/3.36 % (2869912)Termination phase: Saturation
% 14.02/3.36 % (2869912)Time elapsed: 0.161 s
% 14.02/3.36 % (2869912)Peak memory usage: 91 MB
% 14.02/3.36 % (2869912)Instructions burned: 157 (million)
% 14.02/3.36 % (2869911)Instruction limit reached!
% 14.02/3.36 % (2869911)------------------------------
% 14.02/3.36 % (2869911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/3.36 % (2869911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/3.36 % (2869911)CaDiCaL version: 2.1.3
% 14.02/3.36 % (2869911)Termination reason: Instruction limit
% 14.02/3.36 % (2869911)Termination phase: Saturation
% 14.02/3.36 % (2869911)Time elapsed: 0.219 s
% 14.02/3.36 % (2869911)Peak memory usage: 91 MB
% 14.02/3.36 % (2869911)Instructions burned: 195 (million)
% 14.02/3.36 % (2869914)Instruction limit reached!
% 14.02/3.36 % (2869914)------------------------------
% 14.02/3.36 % (2869914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/3.36 % (2869914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/3.36 % (2869914)CaDiCaL version: 2.1.3
% 14.02/3.36 % (2869914)Termination reason: Instruction limit
% 14.02/3.36 % (2869914)Termination phase: Saturation
% 14.02/3.36 % (2869914)Time elapsed: 0.108 s
% 14.02/3.36 % (2869914)Peak memory usage: 89 MB
% 14.02/3.36 % (2869914)Instructions burned: 106 (million)
% 14.02/3.36 % (2869919)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3406783893:i=107_2984 on theBenchmark for (2984ds/107Mi)
% 14.02/3.36 % (2869920)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2577750004:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2984 on theBenchmark for (2984ds/242Mi)
% 14.02/3.36 % (2869919)Refutation not found, incomplete strategy
% 14.02/3.36 % (2869919)------------------------------
% 14.02/3.36 % (2869919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/3.36 % (2869919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/3.36 % (2869919)CaDiCaL version: 2.1.3
% 14.02/3.36 % (2869919)Termination reason: Refutation not found, incomplete strategy
% 14.02/3.36 % (2869919)Time elapsed: 0.002 s
% 14.02/3.36 % (2869919)Peak memory usage: 87 MB
% 14.02/3.36 % (2869890)Refutation found. Thanks to Tanya!
% 14.02/3.36 % SZS status Unsatisfiable for theBenchmark
% 14.02/3.36 % SZS output start Proof for theBenchmark
% See solution above
% 14.02/3.36 % (2869890)------------------------------
% 14.02/3.36 % (2869890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/3.36 % (2869890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/3.36 % (2869890)CaDiCaL version: 2.1.3
% 14.02/3.36 % (2869890)Termination reason: Refutation
% 14.02/3.36 % (2869890)Time elapsed: 1.117 s
% 14.02/3.36 % (2869890)Peak memory usage: 128 MB
% 14.02/3.36 % (2869890)Instructions burned: 1022 (million)
% 14.02/3.36 % (2869890)------------------------------
% 14.02/3.36 % (2869890)------------------------------
% 14.02/3.36 % (2869884)Success in time 1.825 s
% 14.02/3.36 % Vampire exiting
%------------------------------------------------------------------------------