%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD057-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 09:49:16 AM UTC 2026
% Result : Unsatisfiable 27.50s 4.55s
% Output : Refutation 28.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 54 ( 39 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 70 ( 36 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X1,X5)
| ~ sum(X3,X4,X0)
| sum(X0,X1,X2)
| ~ sum(X3,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_2) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_1) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X5,X6,X2)
| ~ sum(X3,X4,X5)
| sum(X0,X1,X2)
| ~ product(X3,X6,X0)
| ~ product(X4,X6,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_1) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X4,X1,X6)
| ~ sum(X3,X4,X0)
| ~ product(X3,X1,X5)
| product(X0,X1,X2)
| ~ sum(X5,X6,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_2) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f20,axiom,
! [X0,X1] :
( product(X0,X1,multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_multiplication) ).
fof(f23,axiom,
! [X0,X1] :
( less_or_equal(X1,X0)
| less_or_equal(X0,X1)
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_order_relation) ).
fof(f24,axiom,
! [X2,X3,X0,X1,X4] :
( ~ sum(X3,X4,X1)
| ~ less_or_equal(X2,X3)
| ~ sum(X2,X4,X0)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ product(X1,X2,X0)
| ~ less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X2)
| less_or_equal(additive_identity,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_multiplication) ).
fof(f27,negated_conjecture,
~ less_or_equal(additive_identity,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_1) ).
fof(f31,plain,
sum(additive_identity,multiplicative_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f3,f17]) ).
fof(f32,plain,
product(multiplicative_identity,multiplicative_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f8,f17]) ).
fof(f33,plain,
sum(multiplicative_identity,additive_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f5,f31]) ).
fof(f36,plain,
sum(additive_inverse(multiplicative_identity),multiplicative_identity,additive_identity),
inference(unit_resulting_resolution,[],[f4,f17]) ).
fof(f37,plain,
sum(multiplicative_identity,additive_inverse(multiplicative_identity),additive_identity),
inference(unit_resulting_resolution,[],[f5,f36]) ).
fof(f38,plain,
~ less_or_equal(additive_inverse(multiplicative_identity),additive_identity),
inference(unit_resulting_resolution,[],[f24,f27,f31,f36]) ).
fof(f40,plain,
defined(additive_inverse(multiplicative_identity)),
inference(unit_resulting_resolution,[],[f15,f17]) ).
fof(f42,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f2,f36,f36,f33]) ).
fof(f49,plain,
product(multiplicative_identity,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f8,f14]) ).
fof(f51,plain,
less_or_equal(multiplicative_identity,additive_identity),
inference(unit_resulting_resolution,[],[f23,f17,f27,f14]) ).
fof(f54,plain,
product(additive_identity,multiplicative_identity,additive_identity),
inference(unit_resulting_resolution,[],[f10,f49]) ).
fof(f79,plain,
sum(additive_identity,additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity)),
inference(unit_resulting_resolution,[],[f3,f40]) ).
fof(f80,plain,
sum(additive_inverse(additive_inverse(multiplicative_identity)),additive_inverse(multiplicative_identity),additive_identity),
inference(unit_resulting_resolution,[],[f4,f40]) ).
fof(f81,plain,
product(multiplicative_identity,additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity)),
inference(unit_resulting_resolution,[],[f8,f40]) ).
fof(f82,plain,
defined(additive_inverse(additive_inverse(multiplicative_identity))),
inference(unit_resulting_resolution,[],[f15,f40]) ).
fof(f131,plain,
sum(additive_inverse(multiplicative_identity),additive_identity,additive_inverse(multiplicative_identity)),
inference(unit_resulting_resolution,[],[f1,f36,f37,f79]) ).
fof(f139,plain,
less_or_equal(additive_identity,additive_inverse(multiplicative_identity)),
inference(unit_resulting_resolution,[],[f24,f51,f37,f79]) ).
fof(f165,plain,
product(additive_identity,additive_identity,multiply(additive_identity,additive_identity)),
inference(unit_resulting_resolution,[],[f20,f14,f14]) ).
fof(f166,plain,
product(additive_identity,additive_inverse(multiplicative_identity),multiply(additive_identity,additive_inverse(multiplicative_identity))),
inference(unit_resulting_resolution,[],[f20,f40,f14]) ).
fof(f169,plain,
product(additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity),multiply(additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity))),
inference(unit_resulting_resolution,[],[f20,f40,f40]) ).
fof(f278,plain,
sum(additive_inverse(multiplicative_identity),additive_inverse(additive_inverse(multiplicative_identity)),additive_identity),
inference(unit_resulting_resolution,[],[f5,f80]) ).
fof(f694,plain,
sum(additive_identity,additive_inverse(additive_inverse(multiplicative_identity)),additive_inverse(additive_inverse(multiplicative_identity))),
inference(unit_resulting_resolution,[],[f3,f82]) ).
fof(f1195,plain,
product(additive_inverse(multiplicative_identity),additive_identity,multiply(additive_identity,additive_inverse(multiplicative_identity))),
inference(unit_resulting_resolution,[],[f10,f166]) ).
fof(f2478,plain,
less_or_equal(additive_identity,multiply(additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity))),
inference(unit_resulting_resolution,[],[f25,f139,f139,f169]) ).
fof(f2508,plain,
~ sum(multiply(additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity)),additive_inverse(multiplicative_identity),additive_identity),
inference(unit_resulting_resolution,[],[f24,f38,f79,f2478]) ).
fof(f3573,plain,
sum(multiply(additive_identity,additive_inverse(multiplicative_identity)),additive_identity,multiply(additive_identity,additive_identity)),
inference(unit_resulting_resolution,[],[f11,f49,f1195,f36,f165]) ).
fof(f3590,plain,
sum(multiply(additive_identity,additive_identity),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f11,f49,f49,f31,f165]) ).
fof(f4049,plain,
sum(multiplicative_identity,additive_identity,additive_inverse(additive_inverse(multiplicative_identity))),
inference(unit_resulting_resolution,[],[f1,f37,f278,f694]) ).
fof(f4194,plain,
product(additive_inverse(additive_inverse(multiplicative_identity)),multiplicative_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f12,f33,f54,f32,f4049]) ).
fof(f4256,plain,
product(additive_inverse(additive_inverse(multiplicative_identity)),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f6,f49,f49,f4194]) ).
fof(f54896,plain,
sum(multiply(additive_identity,additive_inverse(multiplicative_identity)),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f1,f42,f3590,f3573]) ).
fof(f55373,plain,
product(additive_identity,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f12,f4256,f278,f1195,f54896]) ).
fof(f56578,plain,
product(additive_inverse(multiplicative_identity),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f12,f54896,f1195,f131,f55373]) ).
fof(f57049,plain,
product(additive_identity,additive_inverse(multiplicative_identity),additive_identity),
inference(unit_resulting_resolution,[],[f10,f56578]) ).
fof(f57860,plain,
sum(multiply(additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity)),additive_inverse(multiplicative_identity),additive_identity),
inference(unit_resulting_resolution,[],[f11,f81,f36,f169,f57049]) ).
fof(f58436,plain,
$false,
inference(forward_subsumption_resolution,[],[f57860,f2508]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD057-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n013.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 00:42:52 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 10.09/2.10 % (1752783)Input is clausal, will run a generic CNF schedule.
% 10.09/2.10 % (1752789)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4095457330:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.09/2.10 % (1752788)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=325865667:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.09/2.10 % (1752791)lrs+10_1_sil=8000:sp=occurrence:random_seed=2215774851:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.09/2.10 % (1752794)dis-21_1_sil=8000:lcm=predicate:random_seed=3817229173: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)
% 10.09/2.10 % (1752792)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=338780879:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.09/2.10 % (1752790)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3183668646:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.09/2.10 % (1752793)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3664666144:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.09/2.10 % (1752792)Instruction limit reached!
% 10.09/2.10 % (1752792)------------------------------
% 10.09/2.10 % (1752792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.10 % (1752792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.10 % (1752792)CaDiCaL version: 2.1.3
% 10.09/2.10 % (1752792)Termination reason: Instruction limit
% 10.09/2.10 % (1752792)Termination phase: Saturation
% 10.09/2.10 % (1752792)Time elapsed: 0.046 s
% 10.09/2.10 % (1752792)Peak memory usage: 87 MB
% 10.09/2.10 % (1752792)Instructions burned: 115 (million)
% 10.09/2.10 % (1752794)Instruction limit reached!
% 10.09/2.10 % (1752794)------------------------------
% 10.09/2.10 % (1752794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.10 % (1752794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.10 % (1752794)CaDiCaL version: 2.1.3
% 10.09/2.10 % (1752794)Termination reason: Instruction limit
% 10.09/2.10 % (1752794)Termination phase: Saturation
% 10.09/2.10 % (1752794)Time elapsed: 0.066 s
% 10.09/2.10 % (1752794)Peak memory usage: 88 MB
% 10.09/2.10 % (1752794)Instructions burned: 118 (million)
% 10.09/2.10 % (1752791)Instruction limit reached!
% 10.09/2.10 % (1752791)------------------------------
% 10.09/2.10 % (1752791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.10 % (1752791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.10 % (1752791)CaDiCaL version: 2.1.3
% 10.09/2.10 % (1752791)Termination reason: Instruction limit
% 10.09/2.10 % (1752791)Termination phase: Saturation
% 10.09/2.10 % (1752791)Time elapsed: 0.069 s
% 10.09/2.10 % (1752791)Peak memory usage: 88 MB
% 10.09/2.10 % (1752791)Instructions burned: 108 (million)
% 10.09/2.10 % (1752793)Instruction limit reached!
% 10.09/2.10 % (1752793)------------------------------
% 10.09/2.10 % (1752793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.10 % (1752793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.10 % (1752793)CaDiCaL version: 2.1.3
% 10.09/2.10 % (1752793)Termination reason: Instruction limit
% 10.09/2.10 % (1752793)Termination phase: Saturation
% 10.09/2.10 % (1752793)Time elapsed: 0.116 s
% 10.09/2.10 % (1752793)Peak memory usage: 89 MB
% 10.09/2.10 % (1752793)Instructions burned: 180 (million)
% 10.09/2.10 % (1752802)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=4217129844:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.09/2.10 % (1752803)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2429159992:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 10.09/2.10 % (1752803)Refutation not found, incomplete strategy
% 10.09/2.10 % (1752803)------------------------------
% 10.09/2.10 % (1752803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.10 % (1752803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.10 % (1752803)CaDiCaL version: 2.1.3
% 17.15/3.10 % (1752803)Termination reason: Refutation not found, incomplete strategy
% 17.15/3.10 % (1752803)Time elapsed: 0.002 s
% 17.15/3.10 % (1752803)Peak memory usage: 87 MB
% 17.15/3.10 % (1752803)Instructions burned: 2 (million)
% 17.15/3.10 % (1752804)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1697635656:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 17.15/3.10 % (1752802)Instruction limit reached!
% 17.15/3.10 % (1752802)------------------------------
% 17.15/3.10 % (1752802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.10 % (1752802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.10 % (1752802)CaDiCaL version: 2.1.3
% 17.15/3.10 % (1752802)Termination reason: Instruction limit
% 17.15/3.10 % (1752802)Termination phase: Saturation
% 17.15/3.10 % (1752802)Time elapsed: 0.056 s
% 17.15/3.10 % (1752802)Peak memory usage: 87 MB
% 17.15/3.10 % (1752802)Instructions burned: 144 (million)
% 17.15/3.10 % (1752805)lrs+10_64_to=lpo:sil=8000:random_seed=3653124550:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 17.15/3.10 % (1752804)Instruction limit reached!
% 17.15/3.10 % (1752804)------------------------------
% 17.15/3.10 % (1752804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.10 % (1752804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.10 % (1752804)CaDiCaL version: 2.1.3
% 17.15/3.10 % (1752804)Termination reason: Instruction limit
% 17.15/3.10 % (1752804)Termination phase: Saturation
% 17.15/3.10 % (1752804)Time elapsed: 0.078 s
% 17.15/3.10 % (1752804)Peak memory usage: 87 MB
% 17.15/3.10 % (1752804)Instructions burned: 219 (million)
% 17.15/3.10 % (1752805)Instruction limit reached!
% 17.15/3.10 % (1752805)------------------------------
% 17.15/3.10 % (1752805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.10 % (1752805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.10 % (1752805)CaDiCaL version: 2.1.3
% 17.15/3.10 % (1752805)Termination reason: Instruction limit
% 17.15/3.10 % (1752805)Termination phase: Saturation
% 17.15/3.10 % (1752805)Time elapsed: 0.077 s
% 17.15/3.10 % (1752805)Peak memory usage: 89 MB
% 17.15/3.10 % (1752805)Instructions burned: 127 (million)
% 17.15/3.10 % (1752809)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2941927401:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 17.15/3.10 % (1752811)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2086115834:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 17.15/3.10 % (1752803)------------------------------
% 17.15/3.10 % (1752803)------------------------------
% 17.15/3.10 % (1752809)Instruction limit reached!
% 17.15/3.10 % (1752809)------------------------------
% 17.15/3.10 % (1752809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.10 % (1752809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.10 % (1752809)CaDiCaL version: 2.1.3
% 17.15/3.10 % (1752809)Termination reason: Instruction limit
% 17.15/3.10 % (1752809)Termination phase: Saturation
% 17.15/3.10 % (1752809)Time elapsed: 0.084 s
% 17.15/3.10 % (1752809)Peak memory usage: 88 MB
% 17.15/3.10 % (1752809)Instructions burned: 194 (million)
% 17.15/3.10 % (1752812)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1585801210:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 17.15/3.10 % (1752811)Instruction limit reached!
% 17.15/3.10 % (1752811)------------------------------
% 17.15/3.10 % (1752811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.10 % (1752811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.10 % (1752811)CaDiCaL version: 2.1.3
% 17.15/3.10 % (1752811)Termination reason: Instruction limit
% 17.15/3.10 % (1752811)Termination phase: Saturation
% 17.15/3.10 % (1752811)Time elapsed: 0.098 s
% 17.15/3.10 % (1752811)Peak memory usage: 89 MB
% 17.15/3.10 % (1752811)Instructions burned: 157 (million)
% 17.15/3.10 % (1752816)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4000007514:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 17.15/3.10 % (1752815)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=196651543:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 17.15/3.10 % (1752816)Refutation not found, incomplete strategy
% 17.15/3.10 % (1752816)------------------------------
% 27.50/4.55 % (1752816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.55 % (1752816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.55 % (1752816)CaDiCaL version: 2.1.3
% 27.50/4.55 % (1752816)Termination reason: Refutation not found, incomplete strategy
% 27.50/4.55 % (1752816)Time elapsed: 0.001 s
% 27.50/4.55 % (1752816)Peak memory usage: 87 MB
% 27.50/4.55 % (1752815)Instruction limit reached!
% 27.50/4.55 % (1752815)------------------------------
% 27.50/4.55 % (1752815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.55 % (1752815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.55 % (1752815)CaDiCaL version: 2.1.3
% 27.50/4.55 % (1752815)Termination reason: Instruction limit
% 27.50/4.55 % (1752815)Termination phase: Saturation
% 27.50/4.55 % (1752815)Time elapsed: 0.055 s
% 27.50/4.55 % (1752815)Peak memory usage: 90 MB
% 27.50/4.55 % (1752815)Instructions burned: 106 (million)
% 27.50/4.55 % (1752818)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2055445540:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 27.50/4.55 % (1752821)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=862818573:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 27.50/4.55 % (1752816)------------------------------
% 27.50/4.55 % (1752816)------------------------------
% 27.50/4.55 % (1752818)Instruction limit reached!
% 27.50/4.55 % (1752818)------------------------------
% 27.50/4.55 % (1752818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.55 % (1752818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.55 % (1752818)CaDiCaL version: 2.1.3
% 27.50/4.55 % (1752818)Termination reason: Instruction limit
% 27.50/4.55 % (1752818)Termination phase: Saturation
% 27.50/4.55 % (1752818)Time elapsed: 0.146 s
% 27.50/4.55 % (1752818)Peak memory usage: 88 MB
% 27.50/4.55 % (1752818)Instructions burned: 245 (million)
% 27.50/4.55 % (1752825)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=626157340:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 27.50/4.55 % (1752824)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2778874456:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 27.50/4.55 % (1752824)Instruction limit reached!
% 27.50/4.55 % (1752824)------------------------------
% 27.50/4.55 % (1752824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.55 % (1752824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.55 % (1752824)CaDiCaL version: 2.1.3
% 27.50/4.55 % (1752824)Termination reason: Instruction limit
% 27.50/4.55 % (1752824)Termination phase: Saturation
% 27.50/4.55 % (1752824)Time elapsed: 0.061 s
% 27.50/4.55 % (1752824)Peak memory usage: 88 MB
% 27.50/4.55 % (1752824)Instructions burned: 135 (million)
% 27.50/4.55 % (1752828)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3298830794:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 27.50/4.55 % (1752825)Instruction limit reached!
% 27.50/4.55 % (1752825)------------------------------
% 27.50/4.55 % (1752825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.55 % (1752825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.55 % (1752825)CaDiCaL version: 2.1.3
% 27.50/4.55 % (1752825)Termination reason: Instruction limit
% 27.50/4.55 % (1752825)Termination phase: Saturation
% 27.50/4.55 % (1752825)Time elapsed: 0.247 s
% 27.50/4.55 % (1752825)Peak memory usage: 103 MB
% 27.50/4.55 % (1752825)Instructions burned: 501 (million)
% 27.50/4.55 % (1752828)Instruction limit reached!
% 27.50/4.55 % (1752828)------------------------------
% 27.50/4.55 % (1752828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.55 % (1752828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.55 % (1752828)CaDiCaL version: 2.1.3
% 27.50/4.55 % (1752828)Termination reason: Instruction limit
% 27.50/4.55 % (1752828)Termination phase: Saturation
% 27.50/4.55 % (1752828)Time elapsed: 0.118 s
% 27.50/4.55 % (1752828)Peak memory usage: 90 MB
% 27.50/4.55 % (1752828)Instructions burned: 193 (million)
% 27.50/4.55 % (1752830)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=440061649:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 27.50/4.55 % (1752831)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1682271295:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 27.50/4.55 % (1752830)Instruction limit reached!
% 27.50/4.55 % (1752830)------------------------------
% 27.50/4.55 % (1752830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.55 % (1752830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.55 % (1752830)CaDiCaL version: 2.1.3
% 27.50/4.55 % (1752830)Termination reason: Instruction limit
% 27.50/4.55 % (1752830)Termination phase: Saturation
% 27.50/4.55 % (1752830)Time elapsed: 0.092 s
% 27.50/4.55 % (1752830)Peak memory usage: 87 MB
% 27.50/4.55 % (1752830)Instructions burned: 267 (million)
% 27.50/4.55 % (1752831)Instruction limit reached!
% 27.50/4.55 % (1752831)------------------------------
% 27.50/4.55 % (1752831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.55 % (1752831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.55 % (1752831)CaDiCaL version: 2.1.3
% 27.50/4.55 % (1752831)Termination reason: Instruction limit
% 27.50/4.55 % (1752831)Termination phase: Saturation
% 27.50/4.55 % (1752831)Time elapsed: 0.066 s
% 27.50/4.55 % (1752831)Peak memory usage: 87 MB
% 27.50/4.55 % (1752831)Instructions burned: 158 (million)
% 27.50/4.55 % (1752834)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=2943009888:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 27.50/4.55 % (1752835)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1377685509:i=537:av=off:ss=included_2984 on theBenchmark for (2984ds/537Mi)
% 27.50/4.55 % (1752835)Instruction limit reached!
% 27.50/4.55 % (1752835)------------------------------
% 27.50/4.55 % (1752835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.55 % (1752835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.55 % (1752835)CaDiCaL version: 2.1.3
% 27.50/4.55 % (1752835)Termination reason: Instruction limit
% 27.50/4.55 % (1752835)Termination phase: Saturation
% 27.50/4.55 % (1752835)Time elapsed: 0.184 s
% 27.50/4.55 % (1752835)Peak memory usage: 87 MB
% 27.50/4.55 % (1752835)Instructions burned: 537 (million)
% 27.50/4.55 % (1752838)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=314558302:i=180:bd=preordered:av=off_2981 on theBenchmark for (2981ds/180Mi)
% 27.50/4.55 % (1752812)Instruction limit reached!
% 27.50/4.55 % (1752812)------------------------------
% 27.50/4.55 % (1752812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.55 % (1752812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.55 % (1752812)CaDiCaL version: 2.1.3
% 27.50/4.55 % (1752812)Termination reason: Instruction limit
% 27.50/4.55 % (1752812)Termination phase: Saturation
% 27.50/4.55 % (1752812)Time elapsed: 1.423 s
% 27.50/4.55 % (1752812)Peak memory usage: 147 MB
% 27.50/4.55 % (1752812)Instructions burned: 3396 (million)
% 27.50/4.55 % (1752838)Instruction limit reached!
% 27.50/4.55 % (1752838)------------------------------
% 27.50/4.55 % (1752838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.55 % (1752838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.55 % (1752838)CaDiCaL version: 2.1.3
% 27.50/4.55 % (1752838)Termination reason: Instruction limit
% 27.50/4.55 % (1752838)Termination phase: Saturation
% 27.50/4.55 % (1752838)Time elapsed: 0.092 s
% 27.50/4.55 % (1752838)Peak memory usage: 92 MB
% 27.50/4.55 % (1752838)Instructions burned: 181 (million)
% 27.50/4.55 % (1752840)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=801963577:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2979 on theBenchmark for (2979ds/10307Mi)
% 27.50/4.55 % (1752841)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=2926315355:i=412:gtgl=4:gtg=exists_all_2978 on theBenchmark for (2978ds/412Mi)
% 27.50/4.55 % (1752841)Instruction limit reached!
% 27.50/4.55 % (1752841)------------------------------
% 27.50/4.55 % (1752841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.55 % (1752841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.55 % (1752841)CaDiCaL version: 2.1.3
% 27.50/4.55 % (1752841)Termination reason: Instruction limit
% 27.50/4.55 % (1752841)Termination phase: Saturation
% 27.50/4.55 % (1752841)Time elapsed: 0.197 s
% 27.50/4.55 % (1752841)Peak memory usage: 89 MB
% 27.50/4.55 % (1752841)Instructions burned: 412 (million)
% 27.50/4.55 % (1752844)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=1097163468:s2pl=no:i=8478:s2at=4:nm=6_2975 on theBenchmark for (2975ds/8478Mi)
% 27.50/4.55 % (1752834)Instruction limit reached!
% 27.50/4.55 % (1752834)------------------------------
% 27.50/4.55 % (1752834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.55 % (1752834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.55 % (1752834)CaDiCaL version: 2.1.3
% 27.50/4.55 % (1752834)Termination reason: Instruction limit
% 27.50/4.55 % (1752834)Termination phase: Saturation
% 27.50/4.55 % (1752834)Time elapsed: 1.360 s
% 27.50/4.55 % (1752834)Peak memory usage: 142 MB
% 27.50/4.55 % (1752834)Instructions burned: 3257 (million)
% 27.50/4.55 % (1752846)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=1607522581:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2969 on theBenchmark for (2969ds/303Mi)
% 27.50/4.55 % (1752846)Refutation not found, incomplete strategy
% 27.50/4.55 % (1752846)------------------------------
% 27.50/4.55 % (1752846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.55 % (1752846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.55 % (1752846)CaDiCaL version: 2.1.3
% 27.50/4.55 % (1752846)Termination reason: Refutation not found, incomplete strategy
% 27.50/4.55 % (1752846)Time elapsed: 0.002 s
% 27.50/4.55 % (1752846)Peak memory usage: 88 MB
% 27.50/4.55 % (1752846)Instructions burned: 3 (million)
% 27.50/4.55 % (1752846)------------------------------
% 27.50/4.55 % (1752846)------------------------------
% 27.50/4.55 % (1752848)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=75679033:st=4:i=720:sd=3:fsr=off:ss=axioms_2967 on theBenchmark for (2967ds/720Mi)
% 27.50/4.55 % (1752848)Refutation not found, incomplete strategy
% 27.50/4.55 % (1752848)------------------------------
% 27.50/4.55 % (1752848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.55 % (1752848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.55 % (1752848)CaDiCaL version: 2.1.3
% 27.50/4.55 % (1752848)Termination reason: Refutation not found, incomplete strategy
% 27.50/4.55 % (1752848)Time elapsed: 0.001 s
% 27.50/4.55 % (1752848)Peak memory usage: 88 MB
% 27.50/4.55 % (1752848)Instructions burned: 1 (million)
% 27.50/4.55 % (1752848)------------------------------
% 27.50/4.55 % (1752848)------------------------------
% 27.50/4.55 % (1752850)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=1517343212:i=598:bs=on:bd=preordered:av=off:ss=axioms_2964 on theBenchmark for (2964ds/598Mi)
% 27.50/4.55 % (1752789)First to succeed.
% 27.50/4.55 % (1752789)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1752783"
% 27.50/4.55 % (1752850)Instruction limit reached!
% 27.50/4.55 % (1752850)------------------------------
% 27.50/4.55 % (1752850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.50/4.55 % (1752850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.55 % (1752850)CaDiCaL version: 2.1.3
% 27.50/4.55 % (1752850)Termination reason: Instruction limit
% 27.50/4.55 % (1752850)Termination phase: Saturation
% 27.50/4.55 % (1752850)Time elapsed: 0.173 s
% 27.50/4.55 % (1752850)Peak memory usage: 89 MB
% 27.50/4.55 % (1752850)Instructions burned: 599 (million)
% 27.50/4.55 % (1752789)Refutation found. Thanks to Tanya!
% 27.50/4.55 % SZS status Unsatisfiable for theBenchmark
% 27.50/4.55 % SZS output start Proof for theBenchmark
% See solution above
% 28.11/4.75 % (1752789)------------------------------
% 28.11/4.75 % (1752789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.11/4.75 % (1752789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.11/4.75 % (1752789)CaDiCaL version: 2.1.3
% 28.11/4.75 % (1752789)Termination reason: Refutation
% 28.11/4.75 % (1752789)Time elapsed: 3.497 s
% 28.11/4.75 % (1752789)Peak memory usage: 189 MB
% 28.11/4.75 % (1752789)Instructions burned: 7904 (million)
% 28.11/4.75 % (1752789)------------------------------
% 28.11/4.75 % (1752789)------------------------------
% 28.11/4.75 % (1752783)Success in time 3.885 s
% 28.11/4.75 % Vampire exiting
%------------------------------------------------------------------------------