%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ROB022-1 : 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 : n001.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 12:36:17 PM UTC 2026
% Result : Unsatisfiable 7.61s 2.04s
% Output : Refutation 7.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of formulae : 62 ( 62 unt; 0 def)
% Number of atoms : 62 ( 61 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 83 ( 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f2,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_add) ).
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',robbins_axiom) ).
fof(f4,axiom,
add(c,negate(c)) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
fof(f5,plain,
c = add(c,negate(c)),
inference(reorient_equations,[],[f4]) ).
fof(f6,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_huntingtons_axiom) ).
fof(f7,plain,
b != add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))),
inference(reorient_equations,[],[f6]) ).
fof(f8,plain,
b != add(negate(add(a,negate(b))),negate(add(negate(b),negate(a)))),
inference(backward_demodulation,[],[f7,f1]) ).
fof(f10,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X1,negate(X0))))) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f11,plain,
! [X0,X1] : negate(add(X0,X1)) = negate(add(X0,negate(add(negate(add(X0,X1)),negate(negate(add(X0,negate(X1)))))))),
inference(superposition,[],[f3,f3]) ).
fof(f12,plain,
! [X2,X0,X1] : negate(add(negate(add(X2,add(negate(add(X0,X1)),negate(add(X0,negate(X1)))))),negate(add(X2,X0)))) = X2,
inference(superposition,[],[f3,f3]) ).
fof(f14,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(negate(X1),X0)))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f15,plain,
! [X0,X1] : negate(add(X0,X1)) = negate(add(negate(add(negate(add(X0,X1)),add(X0,negate(X1)))),X0)),
inference(superposition,[],[f3,f3]) ).
fof(f16,plain,
! [X0,X1] : negate(add(X0,X1)) = negate(add(X0,negate(add(negate(add(X0,X1)),add(X0,negate(X1)))))),
inference(forward_demodulation,[],[f15,f1]) ).
fof(f17,plain,
! [X2,X0,X1] : negate(add(negate(add(X2,X0)),negate(add(X2,add(negate(add(X0,X1)),negate(add(X0,negate(X1)))))))) = X2,
inference(forward_demodulation,[],[f12,f1]) ).
fof(f18,plain,
! [X0,X1] : negate(add(X0,X1)) = negate(add(X0,negate(add(add(X0,negate(X1)),negate(add(X0,X1)))))),
inference(forward_demodulation,[],[f16,f1]) ).
fof(f19,plain,
! [X0,X1] : negate(add(X0,X1)) = negate(add(X0,negate(add(X0,add(negate(X1),negate(add(X0,X1))))))),
inference(forward_demodulation,[],[f18,f2]) ).
fof(f25,plain,
! [X2,X0,X1] : add(X1,X2) = negate(add(negate(add(X1,add(X2,X0))),negate(add(add(X1,X2),negate(X0))))),
inference(superposition,[],[f3,f2]) ).
fof(f27,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X1,add(X2,X0)),
inference(superposition,[],[f1,f2]) ).
fof(f28,plain,
! [X2,X0,X1] : add(X1,X2) = negate(add(negate(add(X1,add(X2,X0))),negate(add(X1,add(X2,negate(X0)))))),
inference(forward_demodulation,[],[f25,f2]) ).
fof(f32,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(negate(X0),X1)))) = X1,
inference(superposition,[],[f14,f1]) ).
fof(f40,plain,
! [X0,X1] : negate(add(X0,negate(X1))) = negate(add(negate(add(negate(add(X0,negate(X1))),add(X0,X1))),X0)),
inference(superposition,[],[f14,f3]) ).
fof(f48,plain,
! [X0,X1] : negate(add(X0,negate(X1))) = negate(add(X0,negate(add(negate(add(X0,negate(X1))),add(X0,X1))))),
inference(forward_demodulation,[],[f40,f1]) ).
fof(f55,plain,
! [X0,X1] : negate(add(X0,negate(X1))) = negate(add(X0,negate(add(add(X0,X1),negate(add(X0,negate(X1))))))),
inference(forward_demodulation,[],[f48,f1]) ).
fof(f58,plain,
! [X0,X1] : negate(add(X0,negate(X1))) = negate(add(X0,negate(add(X0,add(X1,negate(add(X0,negate(X1)))))))),
inference(forward_demodulation,[],[f55,f2]) ).
fof(f59,plain,
c = negate(add(negate(add(c,c)),negate(c))),
inference(superposition,[],[f3,f5]) ).
fof(f61,plain,
! [X0] : add(c,add(negate(c),X0)) = add(c,X0),
inference(superposition,[],[f2,f5]) ).
fof(f64,plain,
c = negate(add(negate(c),negate(add(c,c)))),
inference(forward_demodulation,[],[f59,f1]) ).
fof(f67,plain,
! [X2,X0,X1] : negate(add(negate(add(X1,add(X2,X0))),negate(add(X0,negate(add(X1,X2)))))) = X0,
inference(superposition,[],[f10,f2]) ).
fof(f135,plain,
! [X0] : add(c,X0) = add(c,add(X0,negate(c))),
inference(superposition,[],[f61,f1]) ).
fof(f199,plain,
! [X2,X0,X1] : add(X2,X1) = negate(add(negate(add(X2,add(X0,X1))),negate(add(X2,add(X1,negate(X0)))))),
inference(superposition,[],[f28,f1]) ).
fof(f270,plain,
! [X0] : add(negate(c),X0) = negate(add(negate(add(c,X0)),negate(add(negate(c),add(negate(c),X0))))),
inference(superposition,[],[f32,f61]) ).
fof(f341,plain,
! [X0] : negate(add(negate(add(X0,c)),negate(add(X0,add(negate(add(c,c)),negate(c)))))) = X0,
inference(superposition,[],[f17,f5]) ).
fof(f377,plain,
! [X0] : negate(add(negate(add(X0,c)),negate(add(X0,add(negate(c),negate(add(c,c))))))) = X0,
inference(forward_demodulation,[],[f341,f1]) ).
fof(f437,plain,
negate(add(c,c)) = negate(add(c,negate(add(c,negate(add(c,c)))))),
inference(superposition,[],[f19,f61]) ).
fof(f576,plain,
negate(c) = negate(add(negate(add(negate(c),add(c,c))),c)),
inference(superposition,[],[f3,f64]) ).
fof(f603,plain,
negate(c) = negate(add(c,negate(add(negate(c),add(c,c))))),
inference(forward_demodulation,[],[f576,f1]) ).
fof(f608,plain,
negate(c) = negate(add(c,negate(add(c,add(c,negate(c)))))),
inference(forward_demodulation,[],[f603,f27]) ).
fof(f611,plain,
negate(c) = negate(add(c,negate(add(c,c)))),
inference(forward_demodulation,[],[f608,f135]) ).
fof(f614,plain,
negate(add(c,c)) = negate(add(c,negate(c))),
inference(backward_demodulation,[],[f437,f611]) ).
fof(f616,plain,
negate(c) = negate(add(c,c)),
inference(forward_demodulation,[],[f614,f5]) ).
fof(f619,plain,
! [X0] : negate(add(negate(add(X0,c)),negate(add(X0,add(negate(c),negate(c)))))) = X0,
inference(backward_demodulation,[],[f377,f616]) ).
fof(f1063,plain,
! [X0] : add(X0,negate(c)) = negate(add(negate(add(X0,c)),negate(add(X0,add(negate(c),negate(c)))))),
inference(superposition,[],[f199,f5]) ).
fof(f1064,plain,
! [X0,X1] : add(X0,add(negate(c),X1)) = negate(add(negate(add(X0,add(c,X1))),negate(add(X0,add(add(negate(c),X1),negate(c)))))),
inference(superposition,[],[f199,f61]) ).
fof(f1074,plain,
! [X2,X0,X1] : add(X0,X2) = negate(add(negate(add(X0,add(X1,X2))),negate(add(X0,add(negate(X1),X2))))),
inference(superposition,[],[f199,f1]) ).
fof(f1129,plain,
! [X0,X1] : add(X0,add(negate(c),X1)) = negate(add(negate(add(X0,add(c,X1))),negate(add(X0,add(negate(c),add(X1,negate(c))))))),
inference(forward_demodulation,[],[f1064,f2]) ).
fof(f1130,plain,
! [X0] : add(X0,negate(c)) = X0,
inference(forward_demodulation,[],[f1063,f619]) ).
fof(f1166,plain,
! [X0,X1] : add(X0,add(negate(c),X1)) = negate(add(negate(add(X0,add(c,X1))),negate(add(X0,add(negate(c),X1))))),
inference(backward_demodulation,[],[f1129,f1130]) ).
fof(f1204,plain,
! [X0,X1] : add(X0,X1) = add(X0,add(negate(c),X1)),
inference(forward_demodulation,[],[f1166,f1074]) ).
fof(f1234,plain,
! [X0] : add(negate(c),X0) = negate(add(negate(add(c,X0)),negate(add(negate(c),X0)))),
inference(backward_demodulation,[],[f270,f1204]) ).
fof(f1246,plain,
! [X0] : add(negate(c),X0) = X0,
inference(forward_demodulation,[],[f1234,f32]) ).
fof(f1352,plain,
! [X0] : negate(X0) = negate(add(negate(c),negate(add(negate(X0),negate(negate(add(negate(c),negate(X0)))))))),
inference(superposition,[],[f11,f1246]) ).
fof(f1363,plain,
! [X0] : negate(add(negate(c),negate(X0))) = negate(add(negate(c),negate(add(X0,negate(add(negate(c),negate(X0))))))),
inference(superposition,[],[f58,f1246]) ).
fof(f1366,plain,
! [X0] : negate(add(negate(c),negate(X0))) = negate(negate(add(X0,negate(add(negate(c),negate(X0)))))),
inference(forward_demodulation,[],[f1363,f1246]) ).
fof(f1376,plain,
! [X0] : negate(X0) = negate(negate(add(negate(X0),negate(negate(add(negate(c),negate(X0))))))),
inference(forward_demodulation,[],[f1352,f1246]) ).
fof(f1382,plain,
! [X0] : negate(negate(X0)) = negate(negate(add(X0,negate(negate(X0))))),
inference(forward_demodulation,[],[f1366,f1246]) ).
fof(f1389,plain,
! [X0] : negate(X0) = negate(negate(add(negate(X0),negate(negate(negate(X0)))))),
inference(forward_demodulation,[],[f1376,f1246]) ).
fof(f1392,plain,
! [X0] : negate(X0) = negate(negate(negate(X0))),
inference(forward_demodulation,[],[f1389,f1382]) ).
fof(f1400,plain,
! [X1] : negate(negate(X1)) = X1,
inference(superposition,[],[f1392,f67]) ).
fof(f1692,plain,
! [X0,X1] : negate(X1) = add(negate(add(X0,X1)),negate(add(X1,negate(X0)))),
inference(superposition,[],[f1400,f10]) ).
fof(f1741,plain,
b != negate(negate(b)),
inference(backward_demodulation,[],[f8,f1692]) ).
fof(f1808,plain,
$false,
inference(forward_subsumption_resolution,[],[f1741,f1400]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ROB022-1 : 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 : n001.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
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 23:33:47 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 5.10/1.86 % (4084515)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.10/1.86 % (4084524)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=805045986:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.10/1.86 % (4084526)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2147752072:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.10/1.86 % (4084520)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=2314658933:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.10/1.86 % (4084525)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1568576347:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.10/1.86 % (4084522)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2007892383:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.10/1.86 % (4084521)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2300936035:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.10/1.86 % (4084523)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3828567473:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.10/1.86 % (4084524)Instruction limit reached!
% 5.10/1.86 % (4084524)------------------------------
% 5.10/1.86 % (4084524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/1.86 % (4084524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.86 % (4084524)CaDiCaL version: 2.1.3
% 5.10/1.86 % (4084524)Termination reason: Instruction limit
% 5.10/1.86 % (4084524)Termination phase: Saturation
% 5.10/1.86 % (4084524)Time elapsed: 0.050 s
% 5.10/1.86 % (4084524)Peak memory usage: 89 MB
% 5.10/1.86 % (4084524)Instructions burned: 181 (million)
% 5.10/1.86 % (4084523)Instruction limit reached!
% 5.10/1.86 % (4084523)------------------------------
% 5.10/1.86 % (4084523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/1.86 % (4084523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.86 % (4084523)CaDiCaL version: 2.1.3
% 5.10/1.86 % (4084523)Termination reason: Instruction limit
% 5.10/1.86 % (4084523)Termination phase: Saturation
% 5.10/1.86 % (4084523)Time elapsed: 0.081 s
% 5.10/1.86 % (4084523)Peak memory usage: 88 MB
% 5.10/1.86 % (4084523)Instructions burned: 137 (million)
% 5.10/1.86 % (4084534)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3482403956:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 5.10/1.86 % (4084525)Instruction limit reached!
% 5.10/1.86 % (4084525)------------------------------
% 5.10/1.86 % (4084525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/1.86 % (4084525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.86 % (4084525)CaDiCaL version: 2.1.3
% 5.10/1.86 % (4084525)Termination reason: Instruction limit
% 5.10/1.86 % (4084525)Termination phase: Saturation
% 5.10/1.86 % (4084525)Time elapsed: 0.153 s
% 5.10/1.86 % (4084525)Peak memory usage: 90 MB
% 5.10/1.86 % (4084525)Instructions burned: 258 (million)
% 5.10/1.86 % (4084535)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2119612828:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 5.10/1.86 % (4084537)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2429773113:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 5.10/1.86 % (4084537)Instruction limit reached!
% 5.10/1.86 % (4084537)------------------------------
% 5.10/1.86 % (4084537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/1.86 % (4084537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.86 % (4084537)CaDiCaL version: 2.1.3
% 5.10/1.86 % (4084537)Termination reason: Instruction limit
% 5.10/1.86 % (4084537)Termination phase: Saturation
% 5.10/1.86 % (4084537)Time elapsed: 0.122 s
% 7.61/2.04 % (4084537)Peak memory usage: 91 MB
% 7.61/2.04 % (4084537)Instructions burned: 215 (million)
% 7.61/2.04 % (4084526)Instruction limit reached!
% 7.61/2.04 % (4084526)------------------------------
% 7.61/2.04 % (4084526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.61/2.04 % (4084526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/2.04 % (4084526)CaDiCaL version: 2.1.3
% 7.61/2.04 % (4084526)Termination reason: Instruction limit
% 7.61/2.04 % (4084526)Termination phase: Saturation
% 7.61/2.04 % (4084526)Time elapsed: 0.574 s
% 7.61/2.04 % (4084526)Peak memory usage: 95 MB
% 7.61/2.04 % (4084526)Instructions burned: 1188 (million)
% 7.61/2.04 % (4084540)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=737908977:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 7.61/2.04 % (4084534)First to succeed.
% 7.61/2.04 % (4084534)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4084515"
% 7.61/2.04 % (4084541)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1150124474:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 7.61/2.04 % (4084540)Instruction limit reached!
% 7.61/2.04 % (4084540)------------------------------
% 7.61/2.04 % (4084540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.61/2.04 % (4084540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/2.04 % (4084540)CaDiCaL version: 2.1.3
% 7.61/2.04 % (4084540)Termination reason: Instruction limit
% 7.61/2.04 % (4084540)Termination phase: Saturation
% 7.61/2.04 % (4084540)Time elapsed: 0.169 s
% 7.61/2.04 % (4084540)Peak memory usage: 91 MB
% 7.61/2.04 % (4084540)Instructions burned: 317 (million)
% 7.61/2.04 % (4084534)Refutation found. Thanks to Tanya!
% 7.61/2.04 % SZS status Unsatisfiable for theBenchmark
% 7.61/2.04 % SZS output start Proof for theBenchmark
% See solution above
% 7.61/2.05 % (4084534)------------------------------
% 7.61/2.05 % (4084534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.61/2.05 % (4084534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/2.05 % (4084534)CaDiCaL version: 2.1.3
% 7.61/2.05 % (4084534)Termination reason: Refutation
% 7.61/2.05 % (4084534)Time elapsed: 0.501 s
% 7.61/2.05 % (4084534)Peak memory usage: 133 MB
% 7.61/2.05 % (4084534)Instructions burned: 1376 (million)
% 7.61/2.05 % (4084534)------------------------------
% 7.61/2.05 % (4084534)------------------------------
% 7.61/2.05 % (4084515)Success in time 0.988 s
% 7.61/2.05 % Vampire exiting
%------------------------------------------------------------------------------