%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LDA004-1 : 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 : n018.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 12:01:25 PM UTC 2026
% Result : Unsatisfiable 31.15s 5.53s
% Output : Refutation 31.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 69 ( 64 unt; 0 def)
% Number of atoms : 76 ( 45 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
fof(f2,axiom,
! [X0,X1] : left(X0,f(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ left(X1,X2)
| ~ left(X0,X1)
| left(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
fof(f4,axiom,
n2 = f(n1,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,axiom,
n3 = f(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,axiom,
u = f(n2,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,axiom,
u1 = f(u,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f8,axiom,
u2 = f(u,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f9,axiom,
u3 = f(u,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f10,axiom,
a = f(f(n3,n2),u2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f11,axiom,
b = f(u1,u3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f12,negated_conjecture,
~ left(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
fof(f19,plain,
! [X0] : f(n2,f(n1,X0)) = f(n3,f(n2,X0)),
inference(superposition,[],[f1,f5]) ).
fof(f20,plain,
! [X0] : f(n2,f(n1,X0)) = f(n1,f(n1,X0)),
inference(superposition,[],[f1,f4]) ).
fof(f25,plain,
! [X0] : f(n1,f(X0,n1)) = f(f(n1,X0),n2),
inference(superposition,[],[f1,f4]) ).
fof(f27,plain,
! [X2,X0,X1] : left(f(X0,X1),f(X0,f(X1,X2))),
inference(superposition,[],[f2,f1]) ).
fof(f28,plain,
! [X0] : f(n2,f(X0,n2)) = f(f(n2,X0),u),
inference(superposition,[],[f1,f6]) ).
fof(f29,plain,
! [X0] : f(n2,f(n2,X0)) = f(u,f(n2,X0)),
inference(superposition,[],[f1,f6]) ).
fof(f32,plain,
! [X0] : f(u,f(n1,X0)) = f(u1,f(u,X0)),
inference(superposition,[],[f1,f7]) ).
fof(f35,plain,
! [X0] : f(u,f(n2,X0)) = f(u2,f(u,X0)),
inference(superposition,[],[f1,f8]) ).
fof(f37,plain,
! [X0] : f(n2,f(n2,X0)) = f(u2,f(u,X0)),
inference(forward_demodulation,[],[f35,f29]) ).
fof(f39,plain,
! [X0] : f(u,f(n3,X0)) = f(u3,f(u,X0)),
inference(superposition,[],[f1,f9]) ).
fof(f41,plain,
! [X2,X0,X1] :
( left(X0,f(X1,X2))
| ~ left(X0,X1) ),
inference(resolution,[],[f3,f2]) ).
fof(f42,plain,
f(n2,n2) = f(n1,n2),
inference(superposition,[],[f20,f4]) ).
fof(f47,plain,
u = f(n1,n2),
inference(forward_demodulation,[],[f42,f6]) ).
fof(f48,plain,
f(n2,u) = f(n1,u),
inference(superposition,[],[f20,f47]) ).
fof(f49,plain,
! [X0] : f(n1,f(X0,n2)) = f(f(n1,X0),u),
inference(superposition,[],[f1,f47]) ).
fof(f50,plain,
! [X0] : f(u,f(n1,X0)) = f(n1,f(n2,X0)),
inference(superposition,[],[f1,f47]) ).
fof(f75,plain,
! [X2,X0,X1] : left(f(f(X0,X1),X0),f(X0,f(X1,X2))),
inference(superposition,[],[f27,f1]) ).
fof(f84,plain,
f(u,n2) = f(n1,f(n2,n1)),
inference(superposition,[],[f25,f47]) ).
fof(f92,plain,
f(u,n2) = f(n1,n3),
inference(forward_demodulation,[],[f84,f5]) ).
fof(f94,plain,
u2 = f(n1,n3),
inference(forward_demodulation,[],[f92,f8]) ).
fof(f113,plain,
! [X0] : f(n1,f(X0,n3)) = f(f(n1,X0),u2),
inference(superposition,[],[f1,f94]) ).
fof(f131,plain,
f(n2,f(n1,n1)) = f(n3,n3),
inference(superposition,[],[f19,f5]) ).
fof(f140,plain,
f(n2,n2) = f(n3,n3),
inference(forward_demodulation,[],[f131,f4]) ).
fof(f141,plain,
u = f(n3,n3),
inference(forward_demodulation,[],[f140,f6]) ).
fof(f146,plain,
! [X0] : f(u,f(n3,X0)) = f(n3,f(n3,X0)),
inference(superposition,[],[f1,f141]) ).
fof(f159,plain,
f(u,n3) = f(n2,n3),
inference(superposition,[],[f29,f5]) ).
fof(f168,plain,
u3 = f(n2,n3),
inference(forward_demodulation,[],[f159,f9]) ).
fof(f184,plain,
! [X2,X3,X0,X1] :
( ~ left(X2,X0)
| ~ left(X0,X1)
| left(X2,f(X1,X3)) ),
inference(resolution,[],[f41,f3]) ).
fof(f230,plain,
f(n1,f(n3,n2)) = f(u2,u),
inference(superposition,[],[f49,f94]) ).
fof(f553,plain,
f(n2,f(n2,n1)) = f(u2,u1),
inference(superposition,[],[f37,f7]) ).
fof(f573,plain,
f(n2,n3) = f(u2,u1),
inference(forward_demodulation,[],[f553,f5]) ).
fof(f577,plain,
u3 = f(u2,u1),
inference(forward_demodulation,[],[f573,f168]) ).
fof(f712,plain,
! [X0] : left(f(f(X0,u),X0),f(X0,u2)),
inference(superposition,[],[f75,f8]) ).
fof(f718,plain,
! [X0] : left(f(f(X0,u2),X0),f(X0,u3)),
inference(superposition,[],[f75,f577]) ).
fof(f938,plain,
f(u1,u3) = f(u,f(n1,n3)),
inference(superposition,[],[f32,f9]) ).
fof(f985,plain,
f(u1,u3) = f(n1,f(n2,n3)),
inference(forward_demodulation,[],[f938,f50]) ).
fof(f992,plain,
f(u1,u3) = f(n1,u3),
inference(forward_demodulation,[],[f985,f168]) ).
fof(f997,plain,
b = f(n1,u3),
inference(forward_demodulation,[],[f992,f11]) ).
fof(f1309,plain,
f(f(n2,u),u2) = f(n1,f(u,n3)),
inference(superposition,[],[f113,f48]) ).
fof(f1340,plain,
f(n1,u3) = f(f(n2,u),u2),
inference(forward_demodulation,[],[f1309,f9]) ).
fof(f1346,plain,
b = f(f(n2,u),u2),
inference(forward_demodulation,[],[f1340,f997]) ).
fof(f2226,plain,
! [X0,X1] : f(n3,f(X1,f(n3,X0))) = f(f(n3,X1),f(u,f(n3,X0))),
inference(superposition,[],[f1,f146]) ).
fof(f2880,plain,
left(f(f(f(n2,u),u),f(n2,u)),b),
inference(superposition,[],[f712,f1346]) ).
fof(f2892,plain,
left(f(f(n2,f(u,n2)),f(n2,u)),b),
inference(forward_demodulation,[],[f2880,f28]) ).
fof(f2903,plain,
left(f(n2,f(f(u,n2),u)),b),
inference(forward_demodulation,[],[f2892,f1]) ).
fof(f2908,plain,
left(f(n2,f(u2,u)),b),
inference(forward_demodulation,[],[f2903,f8]) ).
fof(f2921,plain,
! [X0] :
( ~ left(X0,f(n2,f(u2,u)))
| left(X0,b) ),
inference(resolution,[],[f2908,f3]) ).
fof(f3889,plain,
! [X2,X3,X0,X1] :
( ~ left(f(X0,X1),X2)
| left(X0,f(X2,X3)) ),
inference(resolution,[],[f184,f2]) ).
fof(f4062,plain,
! [X0,X1] : left(f(X0,u2),f(f(X0,u3),X1)),
inference(resolution,[],[f3889,f718]) ).
fof(f4215,plain,
! [X0,X1] : left(f(X0,u2),f(X0,f(u3,X1))),
inference(superposition,[],[f4062,f1]) ).
fof(f13907,plain,
! [X0] : left(a,f(f(n3,n2),f(u3,X0))),
inference(superposition,[],[f4215,f10]) ).
fof(f13943,plain,
! [X0] : left(a,f(f(n3,n2),f(u,f(n3,X0)))),
inference(superposition,[],[f13907,f39]) ).
fof(f13947,plain,
! [X0] : left(a,f(n3,f(n2,f(n3,X0)))),
inference(forward_demodulation,[],[f13943,f2226]) ).
fof(f13948,plain,
! [X0] : left(a,f(n2,f(n1,f(n3,X0)))),
inference(forward_demodulation,[],[f13947,f19]) ).
fof(f14487,plain,
left(a,f(n2,f(u2,u))),
inference(superposition,[],[f13948,f230]) ).
fof(f14502,plain,
left(a,b),
inference(resolution,[],[f14487,f2921]) ).
fof(f14505,plain,
$false,
inference(forward_subsumption_resolution,[],[f14502,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LDA004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n018.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 17:12:23 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 19.26/3.75 % (2606084)Input is clausal, will run a generic CNF schedule.
% 19.26/3.75 % (2606090)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2341826927:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 19.26/3.75 % (2606092)lrs+10_1_sil=8000:sp=occurrence:random_seed=2340518966:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 19.26/3.75 % (2606093)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1678467310:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 19.26/3.75 % (2606091)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=468208126:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 19.26/3.75 % (2606089)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=4057211971:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 19.26/3.75 % (2606095)dis-21_1_sil=8000:lcm=predicate:random_seed=3808420000: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)
% 19.26/3.75 % (2606094)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1608877253:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 19.26/3.75 % (2606092)Instruction limit reached!
% 19.26/3.75 % (2606092)------------------------------
% 19.26/3.75 % (2606092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.26/3.75 % (2606092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.26/3.75 % (2606092)CaDiCaL version: 2.1.3
% 19.26/3.75 % (2606092)Termination reason: Instruction limit
% 19.26/3.75 % (2606092)Termination phase: Saturation
% 19.26/3.75 % (2606092)Time elapsed: 0.111 s
% 19.26/3.75 % (2606092)Peak memory usage: 89 MB
% 19.26/3.75 % (2606092)Instructions burned: 107 (million)
% 19.26/3.75 % (2606093)Instruction limit reached!
% 19.26/3.75 % (2606093)------------------------------
% 19.26/3.75 % (2606093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.26/3.75 % (2606093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.26/3.75 % (2606093)CaDiCaL version: 2.1.3
% 19.26/3.75 % (2606093)Termination reason: Instruction limit
% 19.26/3.75 % (2606093)Termination phase: Saturation
% 19.26/3.75 % (2606093)Time elapsed: 0.115 s
% 19.26/3.75 % (2606093)Peak memory usage: 89 MB
% 19.26/3.75 % (2606093)Instructions burned: 114 (million)
% 19.26/3.75 % (2606095)Instruction limit reached!
% 19.26/3.75 % (2606095)------------------------------
% 19.26/3.75 % (2606095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.26/3.75 % (2606095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.26/3.75 % (2606095)CaDiCaL version: 2.1.3
% 19.26/3.75 % (2606095)Termination reason: Instruction limit
% 19.26/3.75 % (2606095)Termination phase: Saturation
% 19.26/3.75 % (2606095)Time elapsed: 0.100 s
% 19.26/3.75 % (2606095)Peak memory usage: 87 MB
% 19.26/3.75 % (2606095)Instructions burned: 118 (million)
% 19.26/3.75 % (2606094)Instruction limit reached!
% 19.26/3.75 % (2606094)------------------------------
% 19.26/3.75 % (2606094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.26/3.75 % (2606094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.26/3.75 % (2606094)CaDiCaL version: 2.1.3
% 19.26/3.75 % (2606094)Termination reason: Instruction limit
% 19.26/3.75 % (2606094)Termination phase: Saturation
% 19.26/3.75 % (2606094)Time elapsed: 0.144 s
% 19.26/3.75 % (2606094)Peak memory usage: 88 MB
% 19.26/3.75 % (2606094)Instructions burned: 184 (million)
% 19.26/3.75 % (2606105)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4203322429:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 19.26/3.75 % (2606104)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=2083019549:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 19.26/3.75 % (2606108)lrs+10_64_to=lpo:sil=8000:random_seed=472810620:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 19.26/3.75 % (2606104)Refutation not found, incomplete strategy
% 19.26/3.75 % (2606104)------------------------------
% 19.26/3.75 % (2606104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/5.30 % (2606104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/5.30 % (2606104)CaDiCaL version: 2.1.3
% 18.59/5.30 % (2606104)Termination reason: Refutation not found, incomplete strategy
% 18.59/5.30 % (2606104)Time elapsed: 0.002 s
% 18.59/5.30 % (2606104)Peak memory usage: 88 MB
% 18.59/5.30 % (2606106)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1990972376:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 18.59/5.30 % (2606108)Instruction limit reached!
% 18.59/5.30 % (2606108)------------------------------
% 18.59/5.30 % (2606108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/5.30 % (2606108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/5.30 % (2606108)CaDiCaL version: 2.1.3
% 18.59/5.30 % (2606108)Termination reason: Instruction limit
% 18.59/5.30 % (2606108)Termination phase: Saturation
% 18.59/5.30 % (2606108)Time elapsed: 0.086 s
% 18.59/5.30 % (2606108)Peak memory usage: 89 MB
% 18.59/5.30 % (2606108)Instructions burned: 126 (million)
% 18.59/5.30 % (2606105)Instruction limit reached!
% 18.59/5.30 % (2606105)------------------------------
% 18.59/5.30 % (2606105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/5.30 % (2606105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/5.30 % (2606105)CaDiCaL version: 2.1.3
% 18.59/5.30 % (2606105)Termination reason: Instruction limit
% 18.59/5.30 % (2606105)Termination phase: Saturation
% 18.59/5.30 % (2606105)Time elapsed: 0.183 s
% 18.59/5.30 % (2606105)Peak memory usage: 89 MB
% 18.59/5.30 % (2606105)Instructions burned: 189 (million)
% 18.59/5.30 % (2606106)Instruction limit reached!
% 18.59/5.30 % (2606106)------------------------------
% 18.59/5.30 % (2606106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/5.30 % (2606106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/5.30 % (2606106)CaDiCaL version: 2.1.3
% 18.59/5.30 % (2606106)Termination reason: Instruction limit
% 18.59/5.30 % (2606106)Termination phase: Saturation
% 18.59/5.30 % (2606106)Time elapsed: 0.209 s
% 18.59/5.30 % (2606106)Peak memory usage: 88 MB
% 18.59/5.30 % (2606106)Instructions burned: 220 (million)
% 18.59/5.30 % (2606115)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4024218694:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 18.59/5.30 % (2606104)------------------------------
% 18.59/5.30 % (2606104)------------------------------
% 18.59/5.30 % (2606115)Instruction limit reached!
% 18.59/5.30 % (2606115)------------------------------
% 18.59/5.30 % (2606115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/5.30 % (2606115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/5.30 % (2606115)CaDiCaL version: 2.1.3
% 18.59/5.30 % (2606115)Termination reason: Instruction limit
% 18.59/5.30 % (2606115)Termination phase: Saturation
% 18.59/5.30 % (2606115)Time elapsed: 0.087 s
% 18.59/5.30 % (2606115)Peak memory usage: 88 MB
% 18.59/5.30 % (2606115)Instructions burned: 194 (million)
% 18.59/5.30 % (2606116)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2667437706:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 18.59/5.30 % (2606117)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1104879059:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 18.59/5.30 % (2606116)Instruction limit reached!
% 18.59/5.30 % (2606116)------------------------------
% 18.59/5.30 % (2606116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/5.30 % (2606116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/5.30 % (2606116)CaDiCaL version: 2.1.3
% 18.59/5.30 % (2606116)Termination reason: Instruction limit
% 18.59/5.30 % (2606116)Termination phase: Saturation
% 18.59/5.30 % (2606116)Time elapsed: 0.171 s
% 18.59/5.30 % (2606116)Peak memory usage: 91 MB
% 18.59/5.30 % (2606116)Instructions burned: 157 (million)
% 18.59/5.30 % (2606120)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4260100971:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 18.59/5.30 % (2606119)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=416701847:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 18.59/5.30 % (2606120)Refutation not found, incomplete strategy
% 18.59/5.30 % (2606120)------------------------------
% 18.59/5.30 % (2606120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/5.30 % (2606120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/5.30 % (2606120)CaDiCaL version: 2.1.3
% 18.59/5.30 % (2606120)Termination reason: Refutation not found, incomplete strategy
% 18.59/5.30 % (2606120)Time elapsed: 0.002 s
% 18.59/5.30 % (2606120)Peak memory usage: 87 MB
% 18.59/5.30 % (2606119)Instruction limit reached!
% 18.59/5.30 % (2606119)------------------------------
% 18.59/5.30 % (2606119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/5.30 % (2606119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/5.30 % (2606119)CaDiCaL version: 2.1.3
% 18.59/5.30 % (2606119)Termination reason: Instruction limit
% 18.59/5.30 % (2606119)Termination phase: Saturation
% 18.59/5.30 % (2606119)Time elapsed: 0.091 s
% 18.59/5.30 % (2606119)Peak memory usage: 88 MB
% 18.59/5.30 % (2606119)Instructions burned: 106 (million)
% 18.59/5.30 % (2606123)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1849240548:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 18.59/5.30 % (2606120)------------------------------
% 18.59/5.30 % (2606120)------------------------------
% 18.59/5.30 % (2606126)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1170162011:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 18.59/5.30 % (2606123)Instruction limit reached!
% 18.59/5.30 % (2606123)------------------------------
% 18.59/5.30 % (2606123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/5.30 % (2606123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/5.30 % (2606123)CaDiCaL version: 2.1.3
% 18.59/5.30 % (2606123)Termination reason: Instruction limit
% 18.59/5.30 % (2606123)Termination phase: Saturation
% 18.59/5.30 % (2606123)Time elapsed: 0.244 s
% 18.59/5.30 % (2606123)Peak memory usage: 91 MB
% 18.59/5.30 % (2606123)Instructions burned: 242 (million)
% 18.59/5.30 % (2606128)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3093457702:i=134:sd=2:doe=on:ss=axioms:sgt=14_2983 on theBenchmark for (2983ds/134Mi)
% 18.59/5.30 % (2606128)Instruction limit reached!
% 18.59/5.30 % (2606128)------------------------------
% 18.59/5.30 % (2606128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/5.30 % (2606128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/5.30 % (2606128)CaDiCaL version: 2.1.3
% 18.59/5.30 % (2606128)Termination reason: Instruction limit
% 18.59/5.30 % (2606128)Termination phase: Saturation
% 18.59/5.30 % (2606128)Time elapsed: 0.083 s
% 18.59/5.30 % (2606128)Peak memory usage: 88 MB
% 18.59/5.30 % (2606128)Instructions burned: 134 (million)
% 18.59/5.30 % (2606130)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1206874985:i=499:bd=all_2982 on theBenchmark for (2982ds/499Mi)
% 18.59/5.30 % (2606132)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=68964394:i=191:fgj=on:bd=all_2980 on theBenchmark for (2980ds/191Mi)
% 18.59/5.30 % (2606132)Instruction limit reached!
% 18.59/5.30 % (2606132)------------------------------
% 18.59/5.30 % (2606132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/5.30 % (2606132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/5.30 % (2606132)CaDiCaL version: 2.1.3
% 18.59/5.30 % (2606132)Termination reason: Instruction limit
% 18.59/5.30 % (2606132)Termination phase: Saturation
% 18.59/5.30 % (2606132)Time elapsed: 0.225 s
% 18.59/5.30 % (2606132)Peak memory usage: 91 MB
% 18.59/5.30 % (2606132)Instructions burned: 191 (million)
% 18.59/5.30 % (2606130)Instruction limit reached!
% 18.59/5.30 % (2606130)------------------------------
% 18.59/5.30 % (2606130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/5.30 % (2606130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/5.30 % (2606130)CaDiCaL version: 2.1.3
% 18.59/5.30 % (2606130)Termination reason: Instruction limit
% 18.59/5.30 % (2606130)Termination phase: Saturation
% 18.59/5.30 % (2606130)Time elapsed: 0.503 s
% 18.59/5.30 % (2606130)Peak memory usage: 94 MB
% 18.59/5.30 % (2606130)Instructions burned: 499 (million)
% 18.59/5.30 % (2606135)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1950984433:i=264:kws=precedence:fsr=off_2975 on theBenchmark for (2975ds/264Mi)
% 31.15/5.53 % (2606136)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2184559714:cond=on:i=156:bs=on:gtg=exists_all:er=known_2974 on theBenchmark for (2974ds/156Mi)
% 31.15/5.53 % (2606136)Instruction limit reached!
% 31.15/5.53 % (2606136)------------------------------
% 31.15/5.53 % (2606136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.15/5.53 % (2606136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.15/5.53 % (2606136)CaDiCaL version: 2.1.3
% 31.15/5.53 % (2606136)Termination reason: Instruction limit
% 31.15/5.53 % (2606136)Termination phase: Saturation
% 31.15/5.53 % (2606136)Time elapsed: 0.096 s
% 31.15/5.53 % (2606136)Peak memory usage: 87 MB
% 31.15/5.53 % (2606136)Instructions burned: 158 (million)
% 31.15/5.53 % (2606135)Instruction limit reached!
% 31.15/5.53 % (2606135)------------------------------
% 31.15/5.53 % (2606135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.15/5.53 % (2606135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.15/5.53 % (2606135)CaDiCaL version: 2.1.3
% 31.15/5.53 % (2606135)Termination reason: Instruction limit
% 31.15/5.53 % (2606135)Termination phase: Saturation
% 31.15/5.53 % (2606135)Time elapsed: 0.285 s
% 31.15/5.53 % (2606135)Peak memory usage: 90 MB
% 31.15/5.53 % (2606135)Instructions burned: 264 (million)
% 31.15/5.53 % (2606140)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=443674554:i=3256:kws=precedence:bd=preordered:av=off_2970 on theBenchmark for (2970ds/3256Mi)
% 31.15/5.53 % (2606142)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=4163394871:i=537:av=off:ss=included_2969 on theBenchmark for (2969ds/537Mi)
% 31.15/5.53 % (2606142)Instruction limit reached!
% 31.15/5.53 % (2606142)------------------------------
% 31.15/5.53 % (2606142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.15/5.53 % (2606142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.15/5.53 % (2606142)CaDiCaL version: 2.1.3
% 31.15/5.53 % (2606142)Termination reason: Instruction limit
% 31.15/5.53 % (2606142)Termination phase: Saturation
% 31.15/5.53 % (2606142)Time elapsed: 0.325 s
% 31.15/5.53 % (2606142)Peak memory usage: 88 MB
% 31.15/5.53 % (2606142)Instructions burned: 539 (million)
% 31.15/5.53 % (2606089)First to succeed.
% 31.15/5.53 % (2606089)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2606084"
% 31.15/5.53 % (2606145)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2818597139:i=180:bd=preordered:av=off_2964 on theBenchmark for (2964ds/180Mi)
% 31.15/5.53 % (2606145)Instruction limit reached!
% 31.15/5.53 % (2606145)------------------------------
% 31.15/5.53 % (2606145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.15/5.53 % (2606145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.15/5.53 % (2606145)CaDiCaL version: 2.1.3
% 31.15/5.53 % (2606145)Termination reason: Instruction limit
% 31.15/5.53 % (2606145)Termination phase: Saturation
% 31.15/5.53 % (2606145)Time elapsed: 0.176 s
% 31.15/5.53 % (2606145)Peak memory usage: 88 MB
% 31.15/5.53 % (2606145)Instructions burned: 183 (million)
% 31.15/5.53 % (2606089)Refutation found. Thanks to Tanya!
% 31.15/5.53 % SZS status Unsatisfiable for theBenchmark
% 31.15/5.53 % SZS output start Proof for theBenchmark
% See solution above
% 31.15/5.53 % (2606089)------------------------------
% 31.15/5.53 % (2606089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.15/5.53 % (2606089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.15/5.53 % (2606089)CaDiCaL version: 2.1.3
% 31.15/5.53 % (2606089)Termination reason: Refutation
% 31.15/5.53 % (2606089)Time elapsed: 3.562 s
% 31.15/5.53 % (2606089)Peak memory usage: 151 MB
% 31.15/5.53 % (2606089)Instructions burned: 3281 (million)
% 31.15/5.53 % (2606089)------------------------------
% 31.15/5.53 % (2606089)------------------------------
% 31.15/5.53 % (2606084)Success in time 4.298 s
% 31.15/5.53 % Vampire exiting
%------------------------------------------------------------------------------