%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG008-2 : 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 12:35:05 PM UTC 2026
% Result : Unsatisfiable 25.12s 4.69s
% Output : Refutation 26.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 16
% Syntax : Number of formulae : 83 ( 59 unt; 0 def)
% Number of atoms : 125 ( 58 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 85 ( 43 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 195 ( 195 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f4,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f5,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
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/sandbox/benchmark/theBenchmark.p',associativity_of_addition2) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',distributivity3) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X3,X2)
| ~ sum(X0,X1,X2)
| X1 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation1) ).
fof(f20,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_squared_is_x) ).
fof(f21,axiom,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f22,negated_conjecture,
~ product(b,a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[],[f3,f17]) ).
fof(f40,plain,
c = multiply(a,b),
inference(resolution,[],[f35,f21]) ).
fof(f41,plain,
! [X0] : multiply(X0,X0) = X0,
inference(resolution,[],[f35,f20]) ).
fof(f48,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X3,X5)
| ~ sum(X3,X1,X4)
| ~ product(X0,X1,X2)
| sum(X5,X2,multiply(X0,X4)) ),
inference(resolution,[],[f12,f3]) ).
fof(f51,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),X4,multiply(X3,X2)) ),
inference(resolution,[],[f48,f3]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( sum(multiply(X3,X0),multiply(X3,X1),multiply(X3,X2))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f51,f3]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X1,X5)
| ~ sum(X3,X0,X4)
| ~ product(X0,X1,X2)
| sum(X5,X2,multiply(X4,X1)) ),
inference(resolution,[],[f14,f3]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X0,X3),X4,multiply(X2,X3)) ),
inference(resolution,[],[f64,f3]) ).
fof(f70,plain,
! [X2,X3,X0,X1] :
( sum(multiply(X0,X3),multiply(X1,X3),multiply(X2,X3))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f67,f3]) ).
fof(f78,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[],[f4,f9]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[],[f16,f4]) ).
fof(f87,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(resolution,[],[f85,f1]) ).
fof(f88,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(resolution,[],[f85,f2]) ).
fof(f89,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(resolution,[],[f85,f6]) ).
fof(f90,plain,
! [X2,X3,X0,X1] :
( ~ sum(X1,X2,X3)
| multiply(X0,X3) = add(multiply(X0,X1),multiply(X0,X2)) ),
inference(resolution,[],[f85,f54]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X2,X3)
| multiply(X3,X1) = add(multiply(X0,X1),multiply(X2,X1)) ),
inference(resolution,[],[f85,f70]) ).
fof(f93,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(resolution,[],[f85,f78]) ).
fof(f111,plain,
! [X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = X1 ),
inference(resolution,[],[f18,f2]) ).
fof(f112,plain,
! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| additive_inverse(X0) = X1 ),
inference(resolution,[],[f18,f6]) ).
fof(f129,plain,
! [X2,X0,X1] : add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(resolution,[],[f90,f4]) ).
fof(f139,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(X0,multiply(X0,X1)),
inference(superposition,[],[f129,f41]) ).
fof(f141,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X0,X1),X0),
inference(superposition,[],[f129,f41]) ).
fof(f148,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X1,X0)),
inference(forward_demodulation,[],[f141,f93]) ).
fof(f155,plain,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
inference(resolution,[],[f91,f4]) ).
fof(f168,plain,
! [X0,X1] : multiply(add(X1,X0),X0) = add(multiply(X1,X0),X0),
inference(superposition,[],[f155,f41]) ).
fof(f177,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(add(X1,X0),X0),
inference(forward_demodulation,[],[f168,f93]) ).
fof(f284,plain,
! [X2,X0,X1] :
( ~ sum(X2,X1,X2)
| additive_identity = multiply(X0,X1) ),
inference(resolution,[],[f111,f54]) ).
fof(f285,plain,
! [X2,X0,X1] :
( ~ sum(X2,X0,X2)
| additive_identity = multiply(X0,X1) ),
inference(resolution,[],[f111,f70]) ).
fof(f287,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(resolution,[],[f285,f2]) ).
fof(f293,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(resolution,[],[f284,f2]) ).
fof(f418,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,add(X1,X3),X4)
| ~ sum(X0,X1,X2)
| sum(X2,X3,X4) ),
inference(resolution,[],[f8,f4]) ).
fof(f938,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
inference(resolution,[],[f112,f5]) ).
fof(f1643,plain,
! [X2,X3,X0,X1] :
( sum(X2,X3,add(X0,add(X1,X3)))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f418,f4]) ).
fof(f2145,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(X0,add(X1,X3)) ),
inference(resolution,[],[f1643,f85]) ).
fof(f3604,plain,
! [X0,X1] : add(additive_identity,X0) = add(X1,add(additive_inverse(X1),X0)),
inference(resolution,[],[f2145,f6]) ).
fof(f3605,plain,
! [X0,X1] : add(additive_identity,X0) = add(additive_inverse(X1),add(X1,X0)),
inference(resolution,[],[f2145,f5]) ).
fof(f3615,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
inference(resolution,[],[f2145,f4]) ).
fof(f3620,plain,
! [X0,X1] : add(additive_inverse(X1),add(X1,X0)) = X0,
inference(forward_demodulation,[],[f3605,f87]) ).
fof(f3621,plain,
! [X0,X1] : add(X1,add(additive_inverse(X1),X0)) = X0,
inference(forward_demodulation,[],[f3604,f87]) ).
fof(f3655,plain,
! [X0,X1] : multiply(X0,X1) = add(additive_inverse(X1),multiply(add(X0,X1),X1)),
inference(superposition,[],[f3620,f177]) ).
fof(f3709,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
inference(superposition,[],[f93,f3615]) ).
fof(f3837,plain,
! [X2,X3,X0,X1] : add(X3,add(X0,add(X1,X2))) = add(X2,add(X3,add(X0,X1))),
inference(superposition,[],[f3709,f3615]) ).
fof(f3853,plain,
! [X2,X0,X1] : add(X0,add(multiply(X0,X1),X2)) = add(X2,multiply(X0,add(X1,X0))),
inference(superposition,[],[f3709,f148]) ).
fof(f4222,plain,
! [X0] : multiply(X0,additive_inverse(X0)) = add(additive_inverse(additive_inverse(X0)),multiply(additive_identity,additive_inverse(X0))),
inference(superposition,[],[f3655,f89]) ).
fof(f4274,plain,
! [X0] : add(additive_inverse(additive_inverse(X0)),additive_identity) = multiply(X0,additive_inverse(X0)),
inference(forward_demodulation,[],[f4222,f287]) ).
fof(f4298,plain,
! [X0] : add(additive_identity,additive_inverse(additive_inverse(X0))) = multiply(X0,additive_inverse(X0)),
inference(forward_demodulation,[],[f4274,f93]) ).
fof(f4309,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = multiply(X0,additive_inverse(X0)),
inference(forward_demodulation,[],[f4298,f87]) ).
fof(f4313,plain,
! [X0] : multiply(X0,additive_inverse(X0)) = X0,
inference(forward_demodulation,[],[f4309,f938]) ).
fof(f4342,plain,
! [X0] : add(X0,X0) = multiply(X0,add(X0,additive_inverse(X0))),
inference(superposition,[],[f139,f4313]) ).
fof(f4388,plain,
! [X0] : multiply(X0,additive_identity) = add(X0,X0),
inference(forward_demodulation,[],[f4342,f89]) ).
fof(f4396,plain,
! [X0] : additive_identity = add(X0,X0),
inference(forward_demodulation,[],[f4388,f293]) ).
fof(f4470,plain,
! [X0,X1] : add(X1,additive_identity) = add(X0,add(X0,X1)),
inference(superposition,[],[f3709,f4396]) ).
fof(f4484,plain,
! [X0] : additive_inverse(X0) = add(X0,additive_identity),
inference(superposition,[],[f3621,f4396]) ).
fof(f4489,plain,
! [X0] : additive_inverse(X0) = X0,
inference(forward_demodulation,[],[f4484,f88]) ).
fof(f4500,plain,
! [X0,X1] : add(X0,add(X0,X1)) = X1,
inference(forward_demodulation,[],[f4470,f88]) ).
fof(f5055,plain,
! [X0,X1] : multiply(X1,add(X1,X0)) = add(additive_inverse(add(X1,X0)),multiply(X0,add(X1,X0))),
inference(superposition,[],[f3655,f4500]) ).
fof(f5071,plain,
! [X0,X1] : multiply(X1,add(X1,X0)) = add(X0,add(multiply(X0,X1),additive_inverse(add(X1,X0)))),
inference(forward_demodulation,[],[f5055,f3853]) ).
fof(f5095,plain,
! [X0,X1] : multiply(X1,add(X1,X0)) = add(X0,add(multiply(X0,X1),add(X1,X0))),
inference(forward_demodulation,[],[f5071,f4489]) ).
fof(f5105,plain,
! [X0,X1] : multiply(X1,add(X1,X0)) = add(X0,add(X0,add(multiply(X0,X1),X1))),
inference(forward_demodulation,[],[f5095,f3837]) ).
fof(f5106,plain,
! [X0,X1] : add(multiply(X0,X1),X1) = multiply(X1,add(X1,X0)),
inference(forward_demodulation,[],[f5105,f4500]) ).
fof(f5107,plain,
! [X0,X1] : add(X1,multiply(X0,X1)) = multiply(X1,add(X1,X0)),
inference(forward_demodulation,[],[f5106,f93]) ).
fof(f5508,plain,
! [X0,X1] : multiply(X1,X0) = add(X0,multiply(X0,add(X0,X1))),
inference(superposition,[],[f4500,f5107]) ).
fof(f5523,plain,
! [X0,X1] : multiply(X1,X0) = multiply(X0,add(X0,add(X0,X1))),
inference(forward_demodulation,[],[f5508,f139]) ).
fof(f5565,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[],[f5523,f4500]) ).
fof(f5794,plain,
! [X0,X1] : product(X1,X0,multiply(X0,X1)),
inference(superposition,[],[f3,f5565]) ).
fof(f6100,plain,
product(b,a,c),
inference(superposition,[],[f5794,f40]) ).
fof(f6110,plain,
$false,
inference(forward_subsumption_resolution,[],[f6100,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG008-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n001.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 27 23:04:31 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.51 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
% 20.17/3.82 % (4068040)Input is clausal, will run a generic CNF schedule.
% 20.17/3.82 % (4068050)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1608992658:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 20.17/3.82 % (4068048)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=1481195405:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 20.17/3.82 % (4068053)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3757053037:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 20.17/3.82 % (4068052)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2362268865:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 20.17/3.82 % (4068049)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1524145232:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 20.17/3.82 % (4068054)dis-21_1_sil=8000:lcm=predicate:random_seed=3768255522: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)
% 20.17/3.82 % (4068051)lrs+10_1_sil=8000:sp=occurrence:random_seed=1472809747:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 20.17/3.82 % (4068051)Refutation not found, incomplete strategy
% 20.17/3.82 % (4068051)------------------------------
% 20.17/3.82 % (4068051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.17/3.82 % (4068051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.17/3.82 % (4068051)CaDiCaL version: 2.1.3
% 20.17/3.82 % (4068051)Termination reason: Refutation not found, incomplete strategy
% 20.17/3.82 % (4068051)Time elapsed: 0.009 s
% 20.17/3.82 % (4068051)Peak memory usage: 88 MB
% 20.17/3.82 % (4068051)Instructions burned: 7 (million)
% 20.17/3.82 % (4068052)Instruction limit reached!
% 20.17/3.82 % (4068052)------------------------------
% 20.17/3.82 % (4068052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.17/3.82 % (4068052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.17/3.82 % (4068052)CaDiCaL version: 2.1.3
% 20.17/3.82 % (4068052)Termination reason: Instruction limit
% 20.17/3.82 % (4068052)Termination phase: Saturation
% 20.17/3.82 % (4068052)Time elapsed: 0.103 s
% 20.17/3.82 % (4068052)Peak memory usage: 88 MB
% 20.17/3.82 % (4068052)Instructions burned: 114 (million)
% 20.17/3.82 % (4068054)Instruction limit reached!
% 20.17/3.82 % (4068054)------------------------------
% 20.17/3.82 % (4068054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.17/3.82 % (4068054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.17/3.82 % (4068054)CaDiCaL version: 2.1.3
% 20.17/3.82 % (4068054)Termination reason: Instruction limit
% 20.17/3.82 % (4068054)Termination phase: Saturation
% 20.17/3.82 % (4068054)Time elapsed: 0.106 s
% 20.17/3.82 % (4068054)Peak memory usage: 88 MB
% 20.17/3.82 % (4068054)Instructions burned: 117 (million)
% 20.17/3.82 % (4068053)Instruction limit reached!
% 20.17/3.82 % (4068053)------------------------------
% 20.17/3.82 % (4068053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.17/3.82 % (4068053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.17/3.82 % (4068053)CaDiCaL version: 2.1.3
% 20.17/3.82 % (4068053)Termination reason: Instruction limit
% 20.17/3.82 % (4068053)Termination phase: Saturation
% 20.17/3.82 % (4068053)Time elapsed: 0.169 s
% 20.17/3.82 % (4068053)Peak memory usage: 88 MB
% 20.17/3.82 % (4068053)Instructions burned: 180 (million)
% 20.17/3.82 % (4068051)------------------------------
% 20.17/3.82 % (4068051)------------------------------
% 20.17/3.82 % (4068063)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=4143214266:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 20.17/3.82 % (4068064)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=101331396: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)
% 20.17/3.82 % (4068065)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1208643863:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 20.17/3.82 % (4068063)Instruction limit reached!
% 20.17/3.82 % (4068063)------------------------------
% 25.12/4.69 % (4068063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.12/4.69 % (4068063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.12/4.69 % (4068063)CaDiCaL version: 2.1.3
% 25.12/4.69 % (4068063)Termination reason: Instruction limit
% 25.12/4.69 % (4068063)Termination phase: Saturation
% 25.12/4.69 % (4068063)Time elapsed: 0.154 s
% 25.12/4.69 % (4068063)Peak memory usage: 89 MB
% 25.12/4.69 % (4068063)Instructions burned: 143 (million)
% 25.12/4.69 % (4068066)lrs+10_64_to=lpo:sil=8000:random_seed=1970581665:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 25.12/4.69 % (4068064)Instruction limit reached!
% 25.12/4.69 % (4068064)------------------------------
% 25.12/4.69 % (4068064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.12/4.69 % (4068064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.12/4.69 % (4068064)CaDiCaL version: 2.1.3
% 25.12/4.69 % (4068064)Termination reason: Instruction limit
% 25.12/4.69 % (4068064)Termination phase: Saturation
% 25.12/4.69 % (4068064)Time elapsed: 0.175 s
% 25.12/4.69 % (4068064)Peak memory usage: 89 MB
% 25.12/4.69 % (4068064)Instructions burned: 190 (million)
% 25.12/4.69 % (4068066)Instruction limit reached!
% 25.12/4.69 % (4068066)------------------------------
% 25.12/4.69 % (4068066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.12/4.69 % (4068066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.12/4.69 % (4068066)CaDiCaL version: 2.1.3
% 25.12/4.69 % (4068066)Termination reason: Instruction limit
% 25.12/4.69 % (4068066)Termination phase: Saturation
% 25.12/4.69 % (4068066)Time elapsed: 0.100 s
% 25.12/4.69 % (4068066)Peak memory usage: 88 MB
% 25.12/4.69 % (4068066)Instructions burned: 126 (million)
% 25.12/4.69 % (4068065)Instruction limit reached!
% 25.12/4.69 % (4068065)------------------------------
% 25.12/4.69 % (4068065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.12/4.69 % (4068065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.12/4.69 % (4068065)CaDiCaL version: 2.1.3
% 25.12/4.69 % (4068065)Termination reason: Instruction limit
% 25.12/4.69 % (4068065)Termination phase: Saturation
% 25.12/4.69 % (4068065)Time elapsed: 0.206 s
% 25.12/4.69 % (4068065)Peak memory usage: 89 MB
% 25.12/4.69 % (4068065)Instructions burned: 219 (million)
% 25.12/4.69 % (4068070)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4059100155:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 25.12/4.69 % (4068072)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3609156799:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 25.12/4.69 % (4068073)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3866408755:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 25.12/4.69 % (4068074)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=350834372:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 25.12/4.69 % (4068070)Instruction limit reached!
% 25.12/4.69 % (4068070)------------------------------
% 25.12/4.69 % (4068070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.12/4.69 % (4068070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.12/4.69 % (4068070)CaDiCaL version: 2.1.3
% 25.12/4.69 % (4068070)Termination reason: Instruction limit
% 25.12/4.69 % (4068070)Termination phase: Saturation
% 25.12/4.69 % (4068070)Time elapsed: 0.192 s
% 25.12/4.69 % (4068070)Peak memory usage: 88 MB
% 25.12/4.69 % (4068070)Instructions burned: 194 (million)
% 25.12/4.69 % (4068072)Instruction limit reached!
% 25.12/4.69 % (4068072)------------------------------
% 25.12/4.69 % (4068072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.12/4.69 % (4068072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.12/4.69 % (4068072)CaDiCaL version: 2.1.3
% 25.12/4.69 % (4068072)Termination reason: Instruction limit
% 25.12/4.69 % (4068072)Termination phase: Saturation
% 25.12/4.69 % (4068072)Time elapsed: 0.162 s
% 25.12/4.69 % (4068072)Peak memory usage: 89 MB
% 25.12/4.69 % (4068072)Instructions burned: 157 (million)
% 25.12/4.69 % (4068074)Instruction limit reached!
% 25.12/4.69 % (4068074)------------------------------
% 25.12/4.69 % (4068074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.12/4.69 % (4068074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.12/4.69 % (4068074)CaDiCaL version: 2.1.3
% 25.12/4.69 % (4068074)Termination reason: Instruction limit
% 25.12/4.69 % (4068074)Termination phase: Saturation
% 25.12/4.69 % (4068074)Time elapsed: 0.109 s
% 25.12/4.69 % (4068074)Peak memory usage: 89 MB
% 25.12/4.69 % (4068074)Instructions burned: 107 (million)
% 25.12/4.69 % (4068079)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3841111760:i=107_2987 on theBenchmark for (2987ds/107Mi)
% 25.12/4.69 % (4068080)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=983195784:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 25.12/4.69 % (4068081)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2304595625:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 25.12/4.69 % (4068080)Refutation not found, incomplete strategy
% 25.12/4.69 % (4068080)------------------------------
% 25.12/4.69 % (4068080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.12/4.69 % (4068080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.12/4.69 % (4068080)CaDiCaL version: 2.1.3
% 25.12/4.69 % (4068080)Termination reason: Refutation not found, incomplete strategy
% 25.12/4.69 % (4068080)Time elapsed: 0.028 s
% 25.12/4.69 % (4068080)Peak memory usage: 87 MB
% 25.12/4.69 % (4068080)Instructions burned: 24 (million)
% 25.12/4.69 % (4068079)Instruction limit reached!
% 25.12/4.69 % (4068079)------------------------------
% 25.12/4.69 % (4068079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.12/4.69 % (4068079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.12/4.69 % (4068079)CaDiCaL version: 2.1.3
% 25.12/4.69 % (4068079)Termination reason: Instruction limit
% 25.12/4.69 % (4068079)Termination phase: Saturation
% 25.12/4.69 % (4068079)Time elapsed: 0.115 s
% 25.12/4.69 % (4068079)Peak memory usage: 88 MB
% 25.12/4.69 % (4068079)Instructions burned: 107 (million)
% 25.12/4.69 % (4068086)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2767531344:i=134:sd=2:doe=on:ss=axioms:sgt=14_2983 on theBenchmark for (2983ds/134Mi)
% 25.12/4.69 % (4068080)------------------------------
% 25.12/4.69 % (4068080)------------------------------
% 25.12/4.69 % (4068086)Instruction limit reached!
% 25.12/4.69 % (4068086)------------------------------
% 25.12/4.69 % (4068086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.12/4.69 % (4068086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.12/4.69 % (4068086)CaDiCaL version: 2.1.3
% 25.12/4.69 % (4068086)Termination reason: Instruction limit
% 25.12/4.69 % (4068086)Termination phase: Saturation
% 25.12/4.69 % (4068086)Time elapsed: 0.146 s
% 25.12/4.69 % (4068086)Peak memory usage: 88 MB
% 25.12/4.69 % (4068086)Instructions burned: 135 (million)
% 25.12/4.69 % (4068091)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3671794922:i=499:bd=all_2979 on theBenchmark for (2979ds/499Mi)
% 25.12/4.69 % (4068092)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3298790958:i=191:fgj=on:bd=all_2978 on theBenchmark for (2978ds/191Mi)
% 25.12/4.69 % (4068092)Instruction limit reached!
% 25.12/4.69 % (4068092)------------------------------
% 25.12/4.69 % (4068092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.12/4.69 % (4068092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.12/4.69 % (4068092)CaDiCaL version: 2.1.3
% 25.12/4.69 % (4068092)Termination reason: Instruction limit
% 25.12/4.69 % (4068092)Termination phase: Saturation
% 25.12/4.69 % (4068092)Time elapsed: 0.204 s
% 25.12/4.69 % (4068092)Peak memory usage: 90 MB
% 25.12/4.69 % (4068092)Instructions burned: 191 (million)
% 25.12/4.69 % (4068091)Instruction limit reached!
% 25.12/4.69 % (4068091)------------------------------
% 25.12/4.69 % (4068091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.12/4.69 % (4068091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.12/4.69 % (4068091)CaDiCaL version: 2.1.3
% 25.12/4.69 % (4068091)Termination reason: Instruction limit
% 25.12/4.69 % (4068091)Termination phase: Saturation
% 25.12/4.69 % (4068091)Time elapsed: 0.466 s
% 25.12/4.69 % (4068091)Peak memory usage: 91 MB
% 25.12/4.69 % (4068091)Instructions burned: 499 (million)
% 25.12/4.69 % (4068095)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2541233971:i=264:kws=precedence:fsr=off_2973 on theBenchmark for (2973ds/264Mi)
% 25.12/4.69 % (4068096)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1101590442:cond=on:i=156:bs=on:gtg=exists_all:er=known_2972 on theBenchmark for (2972ds/156Mi)
% 25.12/4.69 % (4068095)Instruction limit reached!
% 25.12/4.69 % (4068095)------------------------------
% 25.12/4.69 % (4068095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.12/4.69 % (4068095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.12/4.69 % (4068095)CaDiCaL version: 2.1.3
% 25.12/4.69 % (4068095)Termination reason: Instruction limit
% 25.12/4.69 % (4068095)Termination phase: Saturation
% 25.12/4.69 % (4068095)Time elapsed: 0.260 s
% 25.12/4.69 % (4068095)Peak memory usage: 89 MB
% 25.12/4.69 % (4068095)Instructions burned: 264 (million)
% 25.12/4.69 % (4068096)Instruction limit reached!
% 25.12/4.69 % (4068096)------------------------------
% 25.12/4.69 % (4068096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.12/4.69 % (4068096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.12/4.69 % (4068096)CaDiCaL version: 2.1.3
% 25.12/4.69 % (4068096)Termination reason: Instruction limit
% 25.12/4.69 % (4068096)Termination phase: Saturation
% 25.12/4.69 % (4068096)Time elapsed: 0.152 s
% 25.12/4.69 % (4068096)Peak memory usage: 88 MB
% 25.12/4.69 % (4068096)Instructions burned: 156 (million)
% 25.12/4.69 % (4068073)First to succeed.
% 25.12/4.69 % (4068073)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4068040"
% 25.12/4.69 % (4068100)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=3780701544:i=3256:kws=precedence:bd=preordered:av=off_2969 on theBenchmark for (2969ds/3256Mi)
% 25.12/4.69 % (4068101)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2866248595:i=537:av=off:ss=included_2967 on theBenchmark for (2967ds/537Mi)
% 25.12/4.69 % (4068073)Refutation found. Thanks to Tanya!
% 25.12/4.69 % SZS status Unsatisfiable for theBenchmark
% 25.12/4.69 % SZS output start Proof for theBenchmark
% See solution above
% 26.87/4.95 % (4068073)------------------------------
% 26.87/4.95 % (4068073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.87/4.95 % (4068073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.87/4.95 % (4068073)CaDiCaL version: 2.1.3
% 26.87/4.95 % (4068073)Termination reason: Refutation
% 26.87/4.95 % (4068073)Time elapsed: 2.109 s
% 26.87/4.95 % (4068073)Peak memory usage: 137 MB
% 26.87/4.95 % (4068073)Instructions burned: 1926 (million)
% 26.87/4.95 % (4068073)------------------------------
% 26.87/4.95 % (4068073)------------------------------
% 26.87/4.95 % (4068040)Success in time 3.697 s
% 26.87/4.95 % Vampire exiting
%------------------------------------------------------------------------------