%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO009-1 : 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 09:35:50 AM UTC 2026
% Result : Unsatisfiable 7.01s 1.68s
% Output : Refutation 7.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 42 ( 26 unt; 1 def)
% Number of atoms : 73 ( 19 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 64 ( 33 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 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 : 99 ( 99 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f2,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiplication) ).
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).
fof(f9,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(X2,X4,X6)
| ~ sum(X0,X3,X4)
| ~ product(X1,X3,X5)
| ~ sum(X0,X1,X2)
| sum(X0,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity6) ).
fof(f20,axiom,
! [X0] : product(X0,inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse2) ).
fof(f21,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(f22,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(f23,negated_conjecture,
~ product(x,add(x,y),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equations) ).
fof(f24,definition,
sF0 = add(x,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f25,plain,
add(x,y) = sF0,
inference(reorient_equations,[],[f24]) ).
fof(f26,plain,
~ product(x,sF0,x),
inference(definition_folding,[],[f23,f25]) ).
fof(f27,plain,
sum(x,y,sF0),
inference(superposition,[],[f1,f25]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[],[f2,f22]) ).
fof(f46,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[],[f3,f1]) ).
fof(f50,plain,
sum(y,x,sF0),
inference(resolution,[],[f3,f27]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[],[f21,f1]) ).
fof(f69,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(resolution,[],[f60,f6]) ).
fof(f73,plain,
sF0 = add(y,x),
inference(resolution,[],[f60,f50]) ).
fof(f95,plain,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
inference(resolution,[],[f34,f20]) ).
fof(f129,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,[],[f9,f2]) ).
fof(f134,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),X4,multiply(X3,X2)) ),
inference(resolution,[],[f129,f2]) ).
fof(f140,plain,
! [X2,X3,X0,X1] :
( sum(multiply(X3,X0),multiply(X3,X1),multiply(X3,X2))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f134,f2]) ).
fof(f146,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| multiply(X3,X2) = add(multiply(X3,X0),multiply(X3,X1)) ),
inference(resolution,[],[f140,f60]) ).
fof(f173,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X5)
| sum(X0,X4,multiply(X5,X2)) ),
inference(resolution,[],[f14,f2]) ).
fof(f178,plain,
! [X2,X3,X0,X1,X4] :
( sum(X0,multiply(X3,X1),multiply(X4,X2))
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f173,f2]) ).
fof(f182,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2)
| multiply(X2,X4) = add(X0,multiply(X1,X3)) ),
inference(resolution,[],[f178,f60]) ).
fof(f206,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,multiply(X1,X3)) = multiply(X2,add(X0,X3)) ),
inference(resolution,[],[f182,f1]) ).
fof(f220,plain,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X1,X0),add(X0,X2)),
inference(resolution,[],[f206,f46]) ).
fof(f897,plain,
! [X0,X1] : multiply(X0,X1) = add(multiply(X0,additive_identity),multiply(X0,X1)),
inference(resolution,[],[f146,f5]) ).
fof(f1255,plain,
! [X0] : additive_identity = add(multiply(X0,additive_identity),additive_identity),
inference(superposition,[],[f897,f95]) ).
fof(f1298,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(forward_demodulation,[],[f1255,f69]) ).
fof(f1372,plain,
! [X0,X1] : add(X0,multiply(X1,additive_identity)) = multiply(add(X1,X0),X0),
inference(superposition,[],[f220,f69]) ).
fof(f1395,plain,
! [X0,X1] : add(X0,additive_identity) = multiply(add(X1,X0),X0),
inference(forward_demodulation,[],[f1372,f1298]) ).
fof(f1403,plain,
! [X0,X1] : multiply(add(X1,X0),X0) = X0,
inference(forward_demodulation,[],[f1395,f69]) ).
fof(f1506,plain,
! [X0,X1] : product(add(X1,X0),X0,X0),
inference(superposition,[],[f2,f1403]) ).
fof(f1696,plain,
product(sF0,x,x),
inference(superposition,[],[f1506,f73]) ).
fof(f1698,plain,
product(x,sF0,x),
inference(resolution,[],[f1696,f4]) ).
fof(f1716,plain,
$false,
inference(forward_subsumption_resolution,[],[f1698,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n018.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 21:05:56 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 5.79/1.59 % (3785264)Input is clausal, will run a generic CNF schedule.
% 5.79/1.59 % (3785358)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=1963268358:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.79/1.59 % (3785365)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3961568171:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.79/1.59 % (3785369)dis-21_1_sil=8000:lcm=predicate:random_seed=2512681629: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)
% 5.79/1.59 % (3785361)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3411155862:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.79/1.59 % (3785363)lrs+10_1_sil=8000:sp=occurrence:random_seed=451081617:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.79/1.59 % (3785360)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1212751562:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.79/1.59 % (3785363)Refutation not found, incomplete strategy
% 5.79/1.59 % (3785363)------------------------------
% 5.79/1.59 % (3785363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.59 % (3785363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.59 % (3785363)CaDiCaL version: 2.1.3
% 5.79/1.59 % (3785363)Termination reason: Refutation not found, incomplete strategy
% 5.79/1.59 % (3785363)Time elapsed: 0.001 s
% 5.79/1.59 % (3785363)Peak memory usage: 87 MB
% 5.79/1.59 % (3785367)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2061673391:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.79/1.59 % (3785365)Instruction limit reached!
% 5.79/1.59 % (3785365)------------------------------
% 5.79/1.59 % (3785365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.59 % (3785365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.59 % (3785365)CaDiCaL version: 2.1.3
% 5.79/1.59 % (3785365)Termination reason: Instruction limit
% 5.79/1.59 % (3785365)Termination phase: Saturation
% 5.79/1.59 % (3785365)Time elapsed: 0.058 s
% 5.79/1.59 % (3785365)Peak memory usage: 87 MB
% 5.79/1.59 % (3785365)Instructions burned: 116 (million)
% 5.79/1.59 % (3785369)Instruction limit reached!
% 5.79/1.59 % (3785369)------------------------------
% 5.79/1.59 % (3785369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.59 % (3785369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.59 % (3785369)CaDiCaL version: 2.1.3
% 5.79/1.59 % (3785369)Termination reason: Instruction limit
% 5.79/1.59 % (3785369)Termination phase: Saturation
% 5.79/1.59 % (3785369)Time elapsed: 0.064 s
% 5.79/1.59 % (3785369)Peak memory usage: 88 MB
% 5.79/1.59 % (3785369)Instructions burned: 117 (million)
% 5.79/1.59 % (3785367)Instruction limit reached!
% 5.79/1.59 % (3785367)------------------------------
% 5.79/1.59 % (3785367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.59 % (3785367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.59 % (3785367)CaDiCaL version: 2.1.3
% 5.79/1.59 % (3785367)Termination reason: Instruction limit
% 5.79/1.59 % (3785367)Termination phase: Saturation
% 5.79/1.59 % (3785367)Time elapsed: 0.106 s
% 5.79/1.59 % (3785367)Peak memory usage: 88 MB
% 5.79/1.59 % (3785367)Instructions burned: 181 (million)
% 5.79/1.59 % (3785396)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=1122331321:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.79/1.59 % (3785397)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3901196351:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 5.79/1.59 % (3785396)Refutation not found, incomplete strategy
% 5.79/1.59 % (3785396)------------------------------
% 5.79/1.59 % (3785396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.59 % (3785396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.59 % (3785396)CaDiCaL version: 2.1.3
% 5.79/1.59 % (3785396)Termination reason: Refutation not found, incomplete strategy
% 7.01/1.68 % (3785396)Time elapsed: 0.001 s
% 7.01/1.68 % (3785396)Peak memory usage: 87 MB
% 7.01/1.68 % (3785396)Instructions burned: 1 (million)
% 7.01/1.68 % (3785363)------------------------------
% 7.01/1.68 % (3785363)------------------------------
% 7.01/1.68 % (3785398)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=685999462:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.01/1.68 % (3785397)Instruction limit reached!
% 7.01/1.68 % (3785397)------------------------------
% 7.01/1.68 % (3785397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.68 % (3785397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.68 % (3785397)CaDiCaL version: 2.1.3
% 7.01/1.68 % (3785397)Termination reason: Instruction limit
% 7.01/1.68 % (3785397)Termination phase: Saturation
% 7.01/1.68 % (3785397)Time elapsed: 0.099 s
% 7.01/1.68 % (3785397)Peak memory usage: 88 MB
% 7.01/1.68 % (3785397)Instructions burned: 191 (million)
% 7.01/1.68 % (3785401)lrs+10_64_to=lpo:sil=8000:random_seed=1508690867:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 7.01/1.68 % (3785401)Instruction limit reached!
% 7.01/1.68 % (3785401)------------------------------
% 7.01/1.68 % (3785401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.68 % (3785401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.68 % (3785401)CaDiCaL version: 2.1.3
% 7.01/1.68 % (3785401)Termination reason: Instruction limit
% 7.01/1.68 % (3785401)Termination phase: Saturation
% 7.01/1.68 % (3785401)Time elapsed: 0.042 s
% 7.01/1.68 % (3785401)Peak memory usage: 88 MB
% 7.01/1.68 % (3785401)Instructions burned: 130 (million)
% 7.01/1.68 % (3785398)Instruction limit reached!
% 7.01/1.68 % (3785398)------------------------------
% 7.01/1.68 % (3785398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.68 % (3785398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.68 % (3785398)CaDiCaL version: 2.1.3
% 7.01/1.68 % (3785398)Termination reason: Instruction limit
% 7.01/1.68 % (3785398)Termination phase: Saturation
% 7.01/1.68 % (3785398)Time elapsed: 0.122 s
% 7.01/1.68 % (3785398)Peak memory usage: 89 MB
% 7.01/1.68 % (3785398)Instructions burned: 220 (million)
% 7.01/1.68 % (3785403)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1585172829:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.01/1.68 % (3785396)------------------------------
% 7.01/1.68 % (3785396)------------------------------
% 7.01/1.68 % (3785406)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4158500684:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.01/1.68 % (3785405)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1877854250:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 7.01/1.68 % (3785358)First to succeed.
% 7.01/1.68 % (3785358)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3785264"
% 7.01/1.68 % (3785403)Instruction limit reached!
% 7.01/1.68 % (3785403)------------------------------
% 7.01/1.68 % (3785403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.68 % (3785403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.68 % (3785403)CaDiCaL version: 2.1.3
% 7.01/1.68 % (3785403)Termination reason: Instruction limit
% 7.01/1.68 % (3785403)Termination phase: Saturation
% 7.01/1.68 % (3785403)Time elapsed: 0.130 s
% 7.01/1.68 % (3785403)Peak memory usage: 88 MB
% 7.01/1.68 % (3785403)Instructions burned: 194 (million)
% 7.01/1.68 % (3785408)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=4221723769:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 7.01/1.68 % (3785405)Instruction limit reached!
% 7.01/1.68 % (3785405)------------------------------
% 7.01/1.68 % (3785405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.68 % (3785405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.68 % (3785405)CaDiCaL version: 2.1.3
% 7.01/1.68 % (3785405)Termination reason: Instruction limit
% 7.01/1.68 % (3785405)Termination phase: Saturation
% 7.01/1.68 % (3785405)Time elapsed: 0.105 s
% 7.01/1.68 % (3785405)Peak memory usage: 89 MB
% 7.01/1.68 % (3785405)Instructions burned: 158 (million)
% 7.01/1.68 % (3785408)Instruction limit reached!
% 7.01/1.68 % (3785408)------------------------------
% 7.01/1.68 % (3785408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.68 % (3785408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.68 % (3785408)CaDiCaL version: 2.1.3
% 7.01/1.68 % (3785408)Termination reason: Instruction limit
% 7.01/1.68 % (3785408)Termination phase: Saturation
% 7.01/1.68 % (3785408)Time elapsed: 0.065 s
% 7.01/1.68 % (3785408)Peak memory usage: 89 MB
% 7.01/1.68 % (3785408)Instructions burned: 107 (million)
% 7.01/1.68 % (3785411)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2117175538:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.01/1.68 % (3785411)Refutation not found, incomplete strategy
% 7.01/1.68 % (3785411)------------------------------
% 7.01/1.68 % (3785411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.68 % (3785411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.68 % (3785411)CaDiCaL version: 2.1.3
% 7.01/1.68 % (3785411)Termination reason: Refutation not found, incomplete strategy
% 7.01/1.68 % (3785411)Time elapsed: 0.001 s
% 7.01/1.68 % (3785411)Peak memory usage: 87 MB
% 7.01/1.68 % (3785413)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3689585404:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 7.01/1.68 % (3785414)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2462045393:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 7.01/1.68 % (3785358)Refutation found. Thanks to Tanya!
% 7.01/1.68 % SZS status Unsatisfiable for theBenchmark
% 7.01/1.68 % SZS output start Proof for theBenchmark
% See solution above
% 7.01/1.68 % (3785358)------------------------------
% 7.01/1.68 % (3785358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.68 % (3785358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.68 % (3785358)CaDiCaL version: 2.1.3
% 7.01/1.68 % (3785358)Termination reason: Refutation
% 7.01/1.68 % (3785358)Time elapsed: 0.570 s
% 7.01/1.68 % (3785358)Peak memory usage: 130 MB
% 7.01/1.68 % (3785358)Instructions burned: 1206 (million)
% 7.01/1.68 % (3785358)------------------------------
% 7.01/1.68 % (3785358)------------------------------
% 7.01/1.68 % (3785264)Success in time 0.915 s
% 7.01/1.68 % Vampire exiting
%------------------------------------------------------------------------------