%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG004-1 : 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 : n005.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 12:35:04 PM UTC 2026
% Result : Unsatisfiable 23.31s 4.37s
% Output : Refutation 23.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 37 ( 30 unt; 0 def)
% Number of atoms : 56 ( 11 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f4,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f5,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X2,X3,X5)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition1) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X0,X4,X5)
| sum(X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition2) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X5,X6)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X1,X2)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X5,X1,X6)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ product(X0,X1,X2)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f17,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f18,axiom,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
fof(f19,axiom,
product(additive_inverse(a),additive_inverse(b),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_inverse_times_b_inverse) ).
fof(f20,negated_conjecture,
c != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_equals_d) ).
fof(f37,plain,
~ sum(additive_identity,d,c),
inference(unit_resulting_resolution,[],[f16,f20,f1]) ).
fof(f101,plain,
! [X0,X1] : sum(multiply(additive_inverse(X0),X1),multiply(X0,X1),multiply(additive_identity,X1)),
inference(unit_resulting_resolution,[],[f14,f3,f3,f5,f3]) ).
fof(f102,plain,
sum(multiply(additive_identity,additive_inverse(b)),d,d),
inference(unit_resulting_resolution,[],[f14,f19,f19,f1,f3]) ).
fof(f128,plain,
d = multiply(additive_inverse(a),additive_inverse(b)),
inference(unit_resulting_resolution,[],[f17,f19,f3]) ).
fof(f137,plain,
sum(c,multiply(a,additive_identity),c),
inference(unit_resulting_resolution,[],[f12,f18,f18,f3,f2]) ).
fof(f169,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(unit_resulting_resolution,[],[f9,f4]) ).
fof(f240,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(unit_resulting_resolution,[],[f16,f6,f4]) ).
fof(f291,plain,
! [X0,X1] : sum(additive_inverse(X0),add(X0,X1),X1),
inference(unit_resulting_resolution,[],[f7,f4,f5,f1]) ).
fof(f432,plain,
! [X0,X1] : sum(add(X0,additive_inverse(X1)),X1,X0),
inference(unit_resulting_resolution,[],[f8,f2,f4,f5]) ).
fof(f823,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(unit_resulting_resolution,[],[f16,f4,f169]) ).
fof(f1156,plain,
c = add(c,multiply(a,additive_identity)),
inference(unit_resulting_resolution,[],[f16,f4,f137]) ).
fof(f2758,plain,
~ sum(add(c,additive_inverse(d)),multiply(additive_identity,additive_inverse(b)),additive_identity),
inference(unit_resulting_resolution,[],[f8,f37,f102,f432]) ).
fof(f6179,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
inference(unit_resulting_resolution,[],[f16,f4,f291]) ).
fof(f22756,plain,
multiply(a,additive_identity) = add(additive_inverse(c),c),
inference(superposition,[],[f6179,f1156]) ).
fof(f22767,plain,
multiply(a,additive_identity) = add(c,additive_inverse(c)),
inference(forward_demodulation,[],[f22756,f823]) ).
fof(f22772,plain,
additive_identity = multiply(a,additive_identity),
inference(forward_demodulation,[],[f22767,f240]) ).
fof(f22784,plain,
product(a,additive_identity,additive_identity),
inference(superposition,[],[f3,f22772]) ).
fof(f22919,plain,
sum(c,multiply(a,additive_inverse(b)),additive_identity),
inference(unit_resulting_resolution,[],[f12,f6,f18,f3,f22784]) ).
fof(f36979,plain,
sum(add(c,additive_inverse(multiply(additive_inverse(a),additive_inverse(b)))),multiply(additive_identity,additive_inverse(b)),additive_identity),
inference(unit_resulting_resolution,[],[f7,f22919,f432,f101]) ).
fof(f37342,plain,
sum(add(c,additive_inverse(d)),multiply(additive_identity,additive_inverse(b)),additive_identity),
inference(forward_demodulation,[],[f36979,f128]) ).
fof(f37584,plain,
$false,
inference(forward_subsumption_resolution,[],[f37342,f2758]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n005.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
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:58:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 16.95/3.21 % (276086)Input is clausal, will run a generic CNF schedule.
% 16.95/3.21 % (276172)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1233475844:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 16.95/3.21 % (276168)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=3626995458:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 16.95/3.21 % (276169)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3066775430:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 16.95/3.21 % (276171)lrs+10_1_sil=8000:sp=occurrence:random_seed=685775432:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 16.95/3.21 % (276170)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3004414780:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 16.95/3.21 % (276172)Instruction limit reached!
% 16.95/3.21 % (276172)------------------------------
% 16.95/3.21 % (276172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.21 % (276172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.21 % (276172)CaDiCaL version: 2.1.3
% 16.95/3.21 % (276172)Termination reason: Instruction limit
% 16.95/3.21 % (276172)Termination phase: Saturation
% 16.95/3.21 % (276172)Time elapsed: 0.064 s
% 16.95/3.21 % (276172)Peak memory usage: 88 MB
% 16.95/3.21 % (276172)Instructions burned: 117 (million)
% 16.95/3.21 % (276173)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3319517887:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 16.95/3.21 % (276174)dis-21_1_sil=8000:lcm=predicate:random_seed=2578686761: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)
% 16.95/3.21 % (276171)Instruction limit reached!
% 16.95/3.21 % (276171)------------------------------
% 16.95/3.21 % (276171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.21 % (276171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.21 % (276171)CaDiCaL version: 2.1.3
% 16.95/3.21 % (276171)Termination reason: Instruction limit
% 16.95/3.21 % (276171)Termination phase: Saturation
% 16.95/3.21 % (276171)Time elapsed: 0.112 s
% 16.95/3.21 % (276171)Peak memory usage: 88 MB
% 16.95/3.21 % (276171)Instructions burned: 107 (million)
% 16.95/3.21 % (276174)Instruction limit reached!
% 16.95/3.21 % (276174)------------------------------
% 16.95/3.21 % (276174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.21 % (276174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.21 % (276174)CaDiCaL version: 2.1.3
% 16.95/3.21 % (276174)Termination reason: Instruction limit
% 16.95/3.21 % (276174)Termination phase: Saturation
% 16.95/3.21 % (276174)Time elapsed: 0.108 s
% 16.95/3.21 % (276174)Peak memory usage: 88 MB
% 16.95/3.21 % (276174)Instructions burned: 117 (million)
% 16.95/3.21 % (276173)Instruction limit reached!
% 16.95/3.21 % (276173)------------------------------
% 16.95/3.21 % (276173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.21 % (276173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.21 % (276173)CaDiCaL version: 2.1.3
% 16.95/3.21 % (276173)Termination reason: Instruction limit
% 16.95/3.21 % (276173)Termination phase: Saturation
% 16.95/3.21 % (276173)Time elapsed: 0.177 s
% 16.95/3.21 % (276173)Peak memory usage: 89 MB
% 16.95/3.21 % (276173)Instructions burned: 181 (million)
% 16.95/3.21 % (276197)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=2461078263:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 16.95/3.21 % (276201)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2486971610: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)
% 16.95/3.21 % (276197)Instruction limit reached!
% 16.95/3.21 % (276197)------------------------------
% 16.95/3.21 % (276197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.21 % (276197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.21 % (276197)CaDiCaL version: 2.1.3
% 16.95/3.21 % (276197)Termination reason: Instruction limit
% 19.66/4.06 % (276197)Termination phase: Saturation
% 19.66/4.06 % (276197)Time elapsed: 0.084 s
% 19.66/4.06 % (276197)Peak memory usage: 89 MB
% 19.66/4.06 % (276197)Instructions burned: 144 (million)
% 19.66/4.06 % (276202)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1261969767:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 19.66/4.06 % (276201)Instruction limit reached!
% 19.66/4.06 % (276201)------------------------------
% 19.66/4.06 % (276201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.66/4.06 % (276201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/4.06 % (276201)CaDiCaL version: 2.1.3
% 19.66/4.06 % (276201)Termination reason: Instruction limit
% 19.66/4.06 % (276201)Termination phase: Saturation
% 19.66/4.06 % (276201)Time elapsed: 0.109 s
% 19.66/4.06 % (276201)Peak memory usage: 89 MB
% 19.66/4.06 % (276201)Instructions burned: 189 (million)
% 19.66/4.06 % (276204)lrs+10_64_to=lpo:sil=8000:random_seed=2105010853:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 19.66/4.06 % (276202)Instruction limit reached!
% 19.66/4.06 % (276202)------------------------------
% 19.66/4.06 % (276202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.66/4.07 % (276202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/4.07 % (276202)CaDiCaL version: 2.1.3
% 19.66/4.07 % (276202)Termination reason: Instruction limit
% 19.66/4.07 % (276202)Termination phase: Saturation
% 19.66/4.07 % (276202)Time elapsed: 0.209 s
% 19.66/4.07 % (276202)Peak memory usage: 89 MB
% 19.66/4.07 % (276202)Instructions burned: 219 (million)
% 19.66/4.07 % (276204)Instruction limit reached!
% 19.66/4.07 % (276204)------------------------------
% 19.66/4.07 % (276204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.66/4.07 % (276204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/4.07 % (276204)CaDiCaL version: 2.1.3
% 19.66/4.07 % (276204)Termination reason: Instruction limit
% 19.66/4.07 % (276204)Termination phase: Saturation
% 19.66/4.07 % (276204)Time elapsed: 0.100 s
% 19.66/4.07 % (276204)Peak memory usage: 88 MB
% 19.66/4.07 % (276204)Instructions burned: 127 (million)
% 19.66/4.07 % (276207)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1629931280:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 19.66/4.07 % (276209)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1670581173:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 19.66/4.07 % (276207)Instruction limit reached!
% 19.66/4.07 % (276207)------------------------------
% 19.66/4.07 % (276207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.66/4.07 % (276207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/4.07 % (276207)CaDiCaL version: 2.1.3
% 19.66/4.07 % (276207)Termination reason: Instruction limit
% 19.66/4.07 % (276207)Termination phase: Saturation
% 19.66/4.07 % (276207)Time elapsed: 0.111 s
% 19.66/4.07 % (276207)Peak memory usage: 88 MB
% 19.66/4.07 % (276207)Instructions burned: 195 (million)
% 19.66/4.07 % (276215)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=223959899:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 19.66/4.07 % (276216)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=3580464574:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 19.66/4.07 % (276209)Instruction limit reached!
% 19.66/4.07 % (276209)------------------------------
% 19.66/4.07 % (276209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.66/4.07 % (276209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/4.07 % (276209)CaDiCaL version: 2.1.3
% 19.66/4.07 % (276209)Termination reason: Instruction limit
% 19.66/4.07 % (276209)Termination phase: Saturation
% 19.66/4.07 % (276209)Time elapsed: 0.154 s
% 19.66/4.07 % (276209)Peak memory usage: 89 MB
% 19.66/4.07 % (276209)Instructions burned: 158 (million)
% 19.66/4.07 % (276222)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2173389974:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 19.66/4.07 % (276216)Instruction limit reached!
% 19.66/4.07 % (276216)------------------------------
% 19.66/4.07 % (276216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.66/4.07 % (276216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.31/4.37 % (276216)CaDiCaL version: 2.1.3
% 23.31/4.37 % (276216)Termination reason: Instruction limit
% 23.31/4.37 % (276216)Termination phase: Saturation
% 23.31/4.37 % (276216)Time elapsed: 0.109 s
% 23.31/4.37 % (276216)Peak memory usage: 89 MB
% 23.31/4.37 % (276216)Instructions burned: 106 (million)
% 23.31/4.37 % (276222)Instruction limit reached!
% 23.31/4.37 % (276222)------------------------------
% 23.31/4.37 % (276222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.31/4.37 % (276222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.31/4.37 % (276222)CaDiCaL version: 2.1.3
% 23.31/4.37 % (276222)Termination reason: Instruction limit
% 23.31/4.37 % (276222)Termination phase: Saturation
% 23.31/4.37 % (276222)Time elapsed: 0.068 s
% 23.31/4.37 % (276222)Peak memory usage: 88 MB
% 23.31/4.37 % (276222)Instructions burned: 111 (million)
% 23.31/4.37 % (276226)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=305735202:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2988 on theBenchmark for (2988ds/242Mi)
% 23.31/4.37 % (276229)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2085790502:i=134:sd=2:doe=on:ss=axioms:sgt=14_2987 on theBenchmark for (2987ds/134Mi)
% 23.31/4.37 % (276228)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3757383230:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 23.31/4.37 % (276229)Instruction limit reached!
% 23.31/4.37 % (276229)------------------------------
% 23.31/4.37 % (276229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.31/4.37 % (276229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.31/4.37 % (276229)CaDiCaL version: 2.1.3
% 23.31/4.37 % (276229)Termination reason: Instruction limit
% 23.31/4.37 % (276229)Termination phase: Saturation
% 23.31/4.37 % (276229)Time elapsed: 0.072 s
% 23.31/4.37 % (276229)Peak memory usage: 88 MB
% 23.31/4.37 % (276229)Instructions burned: 135 (million)
% 23.31/4.37 % (276226)Instruction limit reached!
% 23.31/4.37 % (276226)------------------------------
% 23.31/4.37 % (276226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.31/4.37 % (276226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.31/4.37 % (276226)CaDiCaL version: 2.1.3
% 23.31/4.37 % (276226)Termination reason: Instruction limit
% 23.31/4.37 % (276226)Termination phase: Saturation
% 23.31/4.37 % (276226)Time elapsed: 0.237 s
% 23.31/4.37 % (276226)Peak memory usage: 88 MB
% 23.31/4.37 % (276226)Instructions burned: 242 (million)
% 23.31/4.37 % (276236)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=960761839:i=499:bd=all_2984 on theBenchmark for (2984ds/499Mi)
% 23.31/4.37 % (276240)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4118459696:i=191:fgj=on:bd=all_2983 on theBenchmark for (2983ds/191Mi)
% 23.31/4.37 % (276236)Instruction limit reached!
% 23.31/4.37 % (276236)------------------------------
% 23.31/4.37 % (276236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.31/4.37 % (276236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.31/4.37 % (276236)CaDiCaL version: 2.1.3
% 23.31/4.37 % (276236)Termination reason: Instruction limit
% 23.31/4.37 % (276236)Termination phase: Saturation
% 23.31/4.37 % (276236)Time elapsed: 0.241 s
% 23.31/4.37 % (276236)Peak memory usage: 91 MB
% 23.31/4.37 % (276236)Instructions burned: 499 (million)
% 23.31/4.37 % (276240)Instruction limit reached!
% 23.31/4.37 % (276240)------------------------------
% 23.31/4.37 % (276240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.31/4.37 % (276240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.31/4.37 % (276240)CaDiCaL version: 2.1.3
% 23.31/4.37 % (276240)Termination reason: Instruction limit
% 23.31/4.37 % (276240)Termination phase: Saturation
% 23.31/4.37 % (276240)Time elapsed: 0.220 s
% 23.31/4.37 % (276240)Peak memory usage: 90 MB
% 23.31/4.37 % (276240)Instructions burned: 191 (million)
% 23.31/4.37 % (276245)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=292009796:i=264:kws=precedence:fsr=off_2980 on theBenchmark for (2980ds/264Mi)
% 23.31/4.37 % (276245)Instruction limit reached!
% 23.31/4.37 % (276245)------------------------------
% 23.31/4.37 % (276245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.31/4.37 % (276245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.31/4.37 % (276245)CaDiCaL version: 2.1.3
% 23.31/4.37 % (276245)Termination reason: Instruction limit
% 23.31/4.37 % (276245)Termination phase: Saturation
% 23.31/4.37 % (276245)Time elapsed: 0.136 s
% 23.31/4.37 % (276245)Peak memory usage: 91 MB
% 23.31/4.37 % (276245)Instructions burned: 265 (million)
% 23.31/4.37 % (276246)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3695186530:cond=on:i=156:bs=on:gtg=exists_all:er=known_2978 on theBenchmark for (2978ds/156Mi)
% 23.31/4.37 % (276246)Instruction limit reached!
% 23.31/4.37 % (276246)------------------------------
% 23.31/4.37 % (276246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.31/4.37 % (276246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.31/4.37 % (276246)CaDiCaL version: 2.1.3
% 23.31/4.37 % (276246)Termination reason: Instruction limit
% 23.31/4.37 % (276246)Termination phase: Saturation
% 23.31/4.37 % (276246)Time elapsed: 0.158 s
% 23.31/4.37 % (276246)Peak memory usage: 88 MB
% 23.31/4.37 % (276246)Instructions burned: 156 (million)
% 23.31/4.37 % (276250)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=335004373:i=3256:kws=precedence:bd=preordered:av=off_2976 on theBenchmark for (2976ds/3256Mi)
% 23.31/4.37 % (276169)First to succeed.
% 23.31/4.37 % (276169)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-276086"
% 23.31/4.37 % (276252)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=4226287195:i=537:av=off:ss=included_2974 on theBenchmark for (2974ds/537Mi)
% 23.31/4.37 % (276169)Refutation found. Thanks to Tanya!
% 23.31/4.37 % SZS status Unsatisfiable for theBenchmark
% 23.31/4.37 % SZS output start Proof for theBenchmark
% See solution above
% 23.31/4.37 % (276169)------------------------------
% 23.31/4.37 % (276169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.31/4.37 % (276169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.31/4.37 % (276169)CaDiCaL version: 2.1.3
% 23.31/4.37 % (276169)Termination reason: Refutation
% 23.31/4.37 % (276169)Time elapsed: 2.496 s
% 23.31/4.37 % (276169)Peak memory usage: 140 MB
% 23.31/4.37 % (276169)Instructions burned: 2556 (million)
% 23.31/4.37 % (276169)------------------------------
% 23.31/4.37 % (276169)------------------------------
% 23.31/4.37 % (276086)Success in time 3.207 s
% 23.31/4.37 % Vampire exiting
%------------------------------------------------------------------------------