%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD086-3 : 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 : 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 09:49:26 AM UTC 2026
% Result : Unsatisfiable 23.13s 4.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of formulae : 68 ( 50 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 81 ( 41 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 58 !; 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(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(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X1,X5)
| ~ product(X3,X4,X0)
| product(X0,X1,X2)
| ~ product(X3,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_2) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_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(f18,axiom,
! [X0] :
( sum(additive_identity,X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
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(f21,axiom,
! [X0,X1] :
( sum(additive_identity,X0,X1)
| ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_of_order_relation) ).
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,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_2) ).
fof(f29,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f30,negated_conjecture,
~ less_or_equal(additive_identity,multiplicative_inverse(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_4) ).
fof(f33,plain,
sum(additive_identity,a,a),
inference(unit_resulting_resolution,[],[f3,f27]) ).
fof(f34,plain,
product(multiplicative_inverse(a),a,multiplicative_identity),
inference(unit_resulting_resolution,[],[f9,f27,f28]) ).
fof(f37,plain,
sum(additive_inverse(a),a,additive_identity),
inference(unit_resulting_resolution,[],[f4,f27]) ).
fof(f42,plain,
sum(a,additive_inverse(a),additive_identity),
inference(unit_resulting_resolution,[],[f5,f37]) ).
fof(f43,plain,
defined(multiplicative_inverse(a)),
inference(unit_resulting_resolution,[],[f18,f27,f28]) ).
fof(f44,plain,
sum(additive_inverse(multiplicative_inverse(a)),multiplicative_inverse(a),additive_identity),
inference(unit_resulting_resolution,[],[f4,f43]) ).
fof(f45,plain,
sum(additive_identity,multiplicative_inverse(a),multiplicative_inverse(a)),
inference(unit_resulting_resolution,[],[f3,f43]) ).
fof(f48,plain,
~ less_or_equal(a,additive_identity),
inference(unit_resulting_resolution,[],[f21,f29,f28]) ).
fof(f149,plain,
~ less_or_equal(additive_identity,additive_inverse(a)),
inference(unit_resulting_resolution,[],[f24,f37,f33,f48]) ).
fof(f170,plain,
product(a,multiplicative_inverse(a),multiplicative_identity),
inference(unit_resulting_resolution,[],[f10,f34]) ).
fof(f178,plain,
product(multiplicative_identity,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f8,f14]) ).
fof(f180,plain,
less_or_equal(multiplicative_inverse(a),additive_identity),
inference(unit_resulting_resolution,[],[f23,f43,f30,f14]) ).
fof(f190,plain,
product(additive_identity,multiplicative_identity,additive_identity),
inference(unit_resulting_resolution,[],[f10,f178]) ).
fof(f240,plain,
defined(additive_inverse(a)),
inference(unit_resulting_resolution,[],[f15,f27]) ).
fof(f241,plain,
defined(additive_inverse(multiplicative_inverse(a))),
inference(unit_resulting_resolution,[],[f15,f43]) ).
fof(f243,plain,
sum(additive_identity,additive_inverse(a),additive_inverse(a)),
inference(unit_resulting_resolution,[],[f3,f240]) ).
fof(f245,plain,
product(multiplicative_identity,additive_inverse(a),additive_inverse(a)),
inference(unit_resulting_resolution,[],[f8,f240]) ).
fof(f391,plain,
product(multiplicative_inverse(a),additive_inverse(a),multiply(multiplicative_inverse(a),additive_inverse(a))),
inference(unit_resulting_resolution,[],[f20,f240,f43]) ).
fof(f394,plain,
product(a,additive_identity,multiply(a,additive_identity)),
inference(unit_resulting_resolution,[],[f20,f14,f27]) ).
fof(f407,plain,
sum(additive_identity,multiplicative_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f3,f17]) ).
fof(f408,plain,
sum(additive_inverse(multiplicative_identity),multiplicative_identity,additive_identity),
inference(unit_resulting_resolution,[],[f4,f17]) ).
fof(f438,plain,
sum(multiplicative_identity,additive_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f5,f407]) ).
fof(f622,plain,
sum(multiplicative_inverse(a),additive_inverse(multiplicative_inverse(a)),additive_identity),
inference(unit_resulting_resolution,[],[f5,f44]) ).
fof(f662,plain,
product(additive_identity,a,multiply(a,additive_identity)),
inference(unit_resulting_resolution,[],[f10,f394]) ).
fof(f682,plain,
sum(multiply(a,additive_identity),multiplicative_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f11,f34,f34,f45,f662]) ).
fof(f712,plain,
product(a,multiply(multiplicative_inverse(a),additive_inverse(a)),additive_inverse(a)),
inference(unit_resulting_resolution,[],[f6,f170,f245,f391]) ).
fof(f719,plain,
product(additive_inverse(a),multiplicative_inverse(a),multiply(multiplicative_inverse(a),additive_inverse(a))),
inference(unit_resulting_resolution,[],[f10,f391]) ).
fof(f752,plain,
sum(additive_identity,additive_inverse(multiplicative_inverse(a)),additive_inverse(multiplicative_inverse(a))),
inference(unit_resulting_resolution,[],[f3,f241]) ).
fof(f779,plain,
product(a,additive_inverse(multiplicative_inverse(a)),multiply(a,additive_inverse(multiplicative_inverse(a)))),
inference(unit_resulting_resolution,[],[f20,f27,f241]) ).
fof(f783,plain,
product(additive_inverse(multiplicative_inverse(a)),a,multiply(a,additive_inverse(multiplicative_inverse(a)))),
inference(unit_resulting_resolution,[],[f10,f779]) ).
fof(f787,plain,
sum(multiply(a,additive_inverse(multiplicative_inverse(a))),multiplicative_identity,multiply(a,additive_identity)),
inference(unit_resulting_resolution,[],[f11,f662,f34,f44,f783]) ).
fof(f837,plain,
less_or_equal(additive_identity,additive_inverse(multiplicative_inverse(a))),
inference(unit_resulting_resolution,[],[f24,f180,f622,f752]) ).
fof(f899,plain,
sum(multiplicative_identity,additive_inverse(multiplicative_identity),additive_identity),
inference(unit_resulting_resolution,[],[f5,f408]) ).
fof(f904,plain,
sum(multiply(a,additive_identity),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f1,f682,f899,f899]) ).
fof(f939,plain,
sum(multiply(a,additive_inverse(multiplicative_inverse(a))),multiplicative_identity,additive_identity),
inference(unit_resulting_resolution,[],[f1,f438,f787,f904]) ).
fof(f993,plain,
product(additive_identity,a,additive_identity),
inference(unit_resulting_resolution,[],[f12,f34,f44,f783,f939]) ).
fof(f1005,plain,
product(additive_identity,multiplicative_inverse(a),additive_identity),
inference(unit_resulting_resolution,[],[f7,f190,f170,f993]) ).
fof(f1157,plain,
sum(multiplicative_identity,multiply(multiplicative_inverse(a),additive_inverse(a)),additive_identity),
inference(unit_resulting_resolution,[],[f11,f719,f42,f170,f1005]) ).
fof(f1161,plain,
sum(additive_identity,multiply(multiplicative_inverse(a),additive_inverse(a)),multiply(multiplicative_inverse(a),additive_inverse(a))),
inference(unit_resulting_resolution,[],[f11,f719,f243,f719,f1005]) ).
fof(f19511,plain,
less_or_equal(additive_identity,multiply(a,additive_inverse(multiplicative_inverse(a)))),
inference(unit_resulting_resolution,[],[f25,f29,f779,f837]) ).
fof(f19577,plain,
less_or_equal(multiplicative_identity,additive_identity),
inference(unit_resulting_resolution,[],[f24,f407,f939,f19511]) ).
fof(f24156,plain,
less_or_equal(additive_identity,multiply(multiplicative_inverse(a),additive_inverse(a))),
inference(unit_resulting_resolution,[],[f24,f19577,f1157,f1161]) ).
fof(f83320,plain,
less_or_equal(additive_identity,additive_inverse(a)),
inference(unit_resulting_resolution,[],[f25,f29,f712,f24156]) ).
fof(f83426,plain,
$false,
inference(forward_subsumption_resolution,[],[f83320,f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD086-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n018.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 01:02:28 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 11.22/2.23 % (3954188)Input is clausal, will run a generic CNF schedule.
% 11.22/2.23 % (3954194)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2687690155:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.22/2.23 % (3954198)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1307828762:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.22/2.23 % (3954193)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=2321871990:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.22/2.23 % (3954199)dis-21_1_sil=8000:lcm=predicate:random_seed=4237058354: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)
% 11.22/2.23 % (3954197)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=453619092:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.22/2.23 % (3954196)lrs+10_1_sil=8000:sp=occurrence:random_seed=724372500:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.22/2.23 % (3954195)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3936543314:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.22/2.23 % (3954196)Instruction limit reached!
% 11.22/2.23 % (3954196)------------------------------
% 11.22/2.23 % (3954196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.23 % (3954196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.23 % (3954196)CaDiCaL version: 2.1.3
% 11.22/2.23 % (3954196)Termination reason: Instruction limit
% 11.22/2.23 % (3954196)Termination phase: Saturation
% 11.22/2.23 % (3954196)Time elapsed: 0.049 s
% 11.22/2.23 % (3954196)Peak memory usage: 87 MB
% 11.22/2.23 % (3954196)Instructions burned: 109 (million)
% 11.22/2.23 % (3954197)Instruction limit reached!
% 11.22/2.23 % (3954197)------------------------------
% 11.22/2.23 % (3954197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.23 % (3954197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.23 % (3954197)CaDiCaL version: 2.1.3
% 11.22/2.23 % (3954197)Termination reason: Instruction limit
% 11.22/2.23 % (3954197)Termination phase: Saturation
% 11.22/2.23 % (3954197)Time elapsed: 0.069 s
% 11.22/2.23 % (3954197)Peak memory usage: 88 MB
% 11.22/2.23 % (3954197)Instructions burned: 115 (million)
% 11.22/2.23 % (3954199)Instruction limit reached!
% 11.22/2.23 % (3954199)------------------------------
% 11.22/2.23 % (3954199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.23 % (3954199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.23 % (3954199)CaDiCaL version: 2.1.3
% 11.22/2.23 % (3954199)Termination reason: Instruction limit
% 11.22/2.23 % (3954199)Termination phase: Saturation
% 11.22/2.23 % (3954199)Time elapsed: 0.072 s
% 11.22/2.23 % (3954199)Peak memory usage: 89 MB
% 11.22/2.23 % (3954199)Instructions burned: 118 (million)
% 11.22/2.23 % (3954198)Instruction limit reached!
% 11.22/2.23 % (3954198)------------------------------
% 11.22/2.23 % (3954198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.22/2.23 % (3954198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.22/2.23 % (3954198)CaDiCaL version: 2.1.3
% 11.22/2.23 % (3954198)Termination reason: Instruction limit
% 11.22/2.23 % (3954198)Termination phase: Saturation
% 11.22/2.23 % (3954198)Time elapsed: 0.118 s
% 11.22/2.23 % (3954198)Peak memory usage: 89 MB
% 11.22/2.23 % (3954198)Instructions burned: 180 (million)
% 11.22/2.23 % (3954207)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=3626547311:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.22/2.23 % (3954209)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1436018054:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.22/2.23 % (3954208)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3620501674: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)
% 11.22/2.23 % (3954207)Instruction limit reached!
% 11.22/2.23 % (3954207)------------------------------
% 11.22/2.23 % (3954207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.72/3.78 % (3954207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.72/3.78 % (3954207)CaDiCaL version: 2.1.3
% 21.72/3.78 % (3954207)Termination reason: Instruction limit
% 21.72/3.78 % (3954207)Termination phase: Saturation
% 21.72/3.78 % (3954207)Time elapsed: 0.058 s
% 21.72/3.78 % (3954207)Peak memory usage: 87 MB
% 21.72/3.78 % (3954207)Instructions burned: 145 (million)
% 21.72/3.78 % (3954210)lrs+10_64_to=lpo:sil=8000:random_seed=2065307582:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 21.72/3.78 % (3954208)Instruction limit reached!
% 21.72/3.78 % (3954208)------------------------------
% 21.72/3.78 % (3954208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.72/3.78 % (3954208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.72/3.78 % (3954208)CaDiCaL version: 2.1.3
% 21.72/3.78 % (3954208)Termination reason: Instruction limit
% 21.72/3.78 % (3954208)Termination phase: Saturation
% 21.72/3.78 % (3954208)Time elapsed: 0.098 s
% 21.72/3.78 % (3954208)Peak memory usage: 93 MB
% 21.72/3.78 % (3954208)Instructions burned: 190 (million)
% 21.72/3.78 % (3954210)Instruction limit reached!
% 21.72/3.78 % (3954210)------------------------------
% 21.72/3.78 % (3954210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.72/3.78 % (3954210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.72/3.78 % (3954210)CaDiCaL version: 2.1.3
% 21.72/3.78 % (3954210)Termination reason: Instruction limit
% 21.72/3.78 % (3954210)Termination phase: Saturation
% 21.72/3.78 % (3954210)Time elapsed: 0.054 s
% 21.72/3.78 % (3954210)Peak memory usage: 87 MB
% 21.72/3.78 % (3954210)Instructions burned: 127 (million)
% 21.72/3.78 % (3954209)Instruction limit reached!
% 21.72/3.78 % (3954209)------------------------------
% 21.72/3.78 % (3954209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.72/3.78 % (3954209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.72/3.78 % (3954209)CaDiCaL version: 2.1.3
% 21.72/3.78 % (3954209)Termination reason: Instruction limit
% 21.72/3.78 % (3954209)Termination phase: Saturation
% 21.72/3.78 % (3954209)Time elapsed: 0.119 s
% 21.72/3.78 % (3954209)Peak memory usage: 88 MB
% 21.72/3.78 % (3954209)Instructions burned: 219 (million)
% 21.72/3.78 % (3954214)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1855587848:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 21.72/3.78 % (3954217)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3025928582:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 21.72/3.78 % (3954216)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2836858402:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 21.72/3.78 % (3954214)Instruction limit reached!
% 21.72/3.78 % (3954214)------------------------------
% 21.72/3.78 % (3954214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.72/3.78 % (3954214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.72/3.78 % (3954214)CaDiCaL version: 2.1.3
% 21.72/3.78 % (3954214)Termination reason: Instruction limit
% 21.72/3.78 % (3954214)Termination phase: Saturation
% 21.72/3.78 % (3954214)Time elapsed: 0.069 s
% 21.72/3.78 % (3954214)Peak memory usage: 87 MB
% 21.72/3.78 % (3954214)Instructions burned: 197 (million)
% 21.72/3.78 % (3954218)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=2988282209:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 21.72/3.78 % (3954218)Instruction limit reached!
% 21.72/3.78 % (3954218)------------------------------
% 21.72/3.78 % (3954218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.72/3.78 % (3954218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.72/3.78 % (3954218)CaDiCaL version: 2.1.3
% 21.72/3.78 % (3954218)Termination reason: Instruction limit
% 21.72/3.78 % (3954218)Termination phase: Saturation
% 21.72/3.78 % (3954218)Time elapsed: 0.055 s
% 21.72/3.78 % (3954218)Peak memory usage: 89 MB
% 21.72/3.78 % (3954218)Instructions burned: 107 (million)
% 21.72/3.78 % (3954216)Instruction limit reached!
% 21.72/3.78 % (3954216)------------------------------
% 21.72/3.78 % (3954216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.72/3.78 % (3954216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.72/3.78 % (3954216)CaDiCaL version: 2.1.3
% 23.13/4.42 % (3954216)Termination reason: Instruction limit
% 23.13/4.42 % (3954216)Termination phase: Saturation
% 23.13/4.42 % (3954216)Time elapsed: 0.106 s
% 23.13/4.42 % (3954216)Peak memory usage: 90 MB
% 23.13/4.42 % (3954216)Instructions burned: 159 (million)
% 23.13/4.42 % (3954222)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3319879850:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 23.13/4.42 % (3954222)Instruction limit reached!
% 23.13/4.42 % (3954222)------------------------------
% 23.13/4.42 % (3954222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.13/4.42 % (3954222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/4.42 % (3954222)CaDiCaL version: 2.1.3
% 23.13/4.42 % (3954222)Termination reason: Instruction limit
% 23.13/4.42 % (3954222)Termination phase: Saturation
% 23.13/4.42 % (3954222)Time elapsed: 0.070 s
% 23.13/4.42 % (3954222)Peak memory usage: 88 MB
% 23.13/4.42 % (3954222)Instructions burned: 108 (million)
% 23.13/4.42 % (3954224)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3312898333:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 23.13/4.42 % (3954225)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3025537566:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 23.13/4.42 % (3954224)Instruction limit reached!
% 23.13/4.42 % (3954224)------------------------------
% 23.13/4.42 % (3954224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.13/4.42 % (3954224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/4.42 % (3954224)CaDiCaL version: 2.1.3
% 23.13/4.42 % (3954224)Termination reason: Instruction limit
% 23.13/4.42 % (3954224)Termination phase: Saturation
% 23.13/4.42 % (3954224)Time elapsed: 0.152 s
% 23.13/4.42 % (3954224)Peak memory usage: 89 MB
% 23.13/4.42 % (3954224)Instructions burned: 243 (million)
% 23.13/4.42 % (3954228)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3114344170:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 23.13/4.42 % (3954228)Instruction limit reached!
% 23.13/4.42 % (3954228)------------------------------
% 23.13/4.42 % (3954228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.13/4.42 % (3954228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/4.42 % (3954228)CaDiCaL version: 2.1.3
% 23.13/4.42 % (3954228)Termination reason: Instruction limit
% 23.13/4.42 % (3954228)Termination phase: Saturation
% 23.13/4.42 % (3954228)Time elapsed: 0.048 s
% 23.13/4.42 % (3954228)Peak memory usage: 87 MB
% 23.13/4.42 % (3954228)Instructions burned: 135 (million)
% 23.13/4.42 % (3954231)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=652000562:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 23.13/4.42 % (3954232)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3703803433:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 23.13/4.42 % (3954232)Instruction limit reached!
% 23.13/4.42 % (3954232)------------------------------
% 23.13/4.42 % (3954232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.13/4.42 % (3954232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/4.42 % (3954232)CaDiCaL version: 2.1.3
% 23.13/4.42 % (3954232)Termination reason: Instruction limit
% 23.13/4.42 % (3954232)Termination phase: Saturation
% 23.13/4.42 % (3954232)Time elapsed: 0.101 s
% 23.13/4.42 % (3954232)Peak memory usage: 91 MB
% 23.13/4.42 % (3954232)Instructions burned: 191 (million)
% 23.13/4.42 % (3954231)Instruction limit reached!
% 23.13/4.42 % (3954231)------------------------------
% 23.13/4.42 % (3954231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.13/4.42 % (3954231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/4.42 % (3954231)CaDiCaL version: 2.1.3
% 23.13/4.42 % (3954231)Termination reason: Instruction limit
% 23.13/4.42 % (3954231)Termination phase: Saturation
% 23.13/4.42 % (3954231)Time elapsed: 0.265 s
% 23.13/4.42 % (3954231)Peak memory usage: 108 MB
% 23.13/4.42 % (3954231)Instructions burned: 500 (million)
% 23.13/4.42 % (3954235)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3660298072:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 23.13/4.42 % (3954235)Instruction limit reached!
% 23.13/4.42 % (3954235)------------------------------
% 23.13/4.42 % (3954235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.13/4.42 % (3954235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/4.42 % (3954235)CaDiCaL version: 2.1.3
% 23.13/4.42 % (3954235)Termination reason: Instruction limit
% 23.13/4.42 % (3954235)Termination phase: Saturation
% 23.13/4.42 % (3954235)Time elapsed: 0.090 s
% 23.13/4.42 % (3954235)Peak memory usage: 87 MB
% 23.13/4.42 % (3954235)Instructions burned: 265 (million)
% 23.13/4.42 % (3954236)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3291929526:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 23.13/4.42 % (3954236)Instruction limit reached!
% 23.13/4.42 % (3954236)------------------------------
% 23.13/4.42 % (3954236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.13/4.42 % (3954236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/4.42 % (3954236)CaDiCaL version: 2.1.3
% 23.13/4.42 % (3954236)Termination reason: Instruction limit
% 23.13/4.42 % (3954236)Termination phase: Saturation
% 23.13/4.42 % (3954236)Time elapsed: 0.065 s
% 23.13/4.42 % (3954236)Peak memory usage: 87 MB
% 23.13/4.42 % (3954236)Instructions burned: 157 (million)
% 23.13/4.42 % (3954238)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=3658902319:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 23.13/4.42 % (3954240)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3518598364:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 23.13/4.42 % (3954240)Instruction limit reached!
% 23.13/4.42 % (3954240)------------------------------
% 23.13/4.42 % (3954240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.13/4.42 % (3954240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/4.42 % (3954240)CaDiCaL version: 2.1.3
% 23.13/4.42 % (3954240)Termination reason: Instruction limit
% 23.13/4.42 % (3954240)Termination phase: Saturation
% 23.13/4.42 % (3954240)Time elapsed: 0.192 s
% 23.13/4.42 % (3954240)Peak memory usage: 87 MB
% 23.13/4.42 % (3954240)Instructions burned: 537 (million)
% 23.13/4.42 % (3954243)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3905024023:i=180:bd=preordered:av=off_2979 on theBenchmark for (2979ds/180Mi)
% 23.13/4.42 % (3954243)Instruction limit reached!
% 23.13/4.42 % (3954243)------------------------------
% 23.13/4.42 % (3954243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.13/4.42 % (3954243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/4.42 % (3954243)CaDiCaL version: 2.1.3
% 23.13/4.42 % (3954243)Termination reason: Instruction limit
% 23.13/4.42 % (3954243)Termination phase: Saturation
% 23.13/4.42 % (3954243)Time elapsed: 0.093 s
% 23.13/4.42 % (3954243)Peak memory usage: 93 MB
% 23.13/4.42 % (3954243)Instructions burned: 181 (million)
% 23.13/4.42 % (3954245)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=3565542433:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2977 on theBenchmark for (2977ds/10307Mi)
% 23.13/4.42 % (3954217)Instruction limit reached!
% 23.13/4.42 % (3954217)------------------------------
% 23.13/4.42 % (3954217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.13/4.42 % (3954217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/4.42 % (3954217)CaDiCaL version: 2.1.3
% 23.13/4.42 % (3954217)Termination reason: Instruction limit
% 23.13/4.42 % (3954217)Termination phase: Saturation
% 23.13/4.42 % (3954217)Time elapsed: 2.144 s
% 23.13/4.42 % (3954217)Peak memory usage: 147 MB
% 23.13/4.42 % (3954217)Instructions burned: 3394 (million)
% 23.13/4.42 % (3954247)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=148701176:i=412:gtgl=4:gtg=exists_all_2972 on theBenchmark for (2972ds/412Mi)
% 23.13/4.42 % (3954247)Instruction limit reached!
% 23.13/4.42 % (3954247)------------------------------
% 23.13/4.42 % (3954247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.13/4.42 % (3954247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/4.42 % (3954247)CaDiCaL version: 2.1.3
% 23.13/4.42 % (3954247)Termination reason: Instruction limit
% 23.13/4.42 % (3954247)Termination phase: Saturation
% 23.13/4.42 % (3954247)Time elapsed: 0.179 s
% 23.13/4.42 % (3954247)Peak memory usage: 89 MB
% 23.13/4.42 % (3954247)Instructions burned: 413 (million)
% 23.13/4.42 % (3954249)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=3629015291:s2pl=no:i=8478:s2at=4:nm=6_2968 on theBenchmark for (2968ds/8478Mi)
% 23.13/4.42 % (3954194)First to succeed.
% 23.13/4.42 % (3954194)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3954188"
% 23.13/4.42 % (3954238)Instruction limit reached!
% 23.13/4.42 % (3954238)------------------------------
% 23.13/4.42 % (3954238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.13/4.42 % (3954238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/4.42 % (3954238)CaDiCaL version: 2.1.3
% 23.13/4.42 % (3954238)Termination reason: Instruction limit
% 23.13/4.42 % (3954238)Termination phase: Saturation
% 23.13/4.42 % (3954238)Time elapsed: 1.972 s
% 23.13/4.42 % (3954238)Peak memory usage: 147 MB
% 23.13/4.42 % (3954238)Instructions burned: 3257 (million)
% 23.13/4.42 % (3954194)Refutation found. Thanks to Tanya!
% 23.13/4.42 % SZS status Unsatisfiable for theBenchmark
% 23.13/4.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/4.61 % (3954194)------------------------------
% 0.21/4.61 % (3954194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/4.61 % (3954194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/4.61 % (3954194)CaDiCaL version: 2.1.3
% 0.21/4.61 % (3954194)Termination reason: Refutation
% 0.21/4.61 % (3954194)Time elapsed: 3.445 s
% 0.21/4.61 % (3954194)Peak memory usage: 212 MB
% 0.21/4.61 % (3954194)Instructions burned: 11543 (million)
% 0.21/4.61 % (3954194)------------------------------
% 0.21/4.61 % (3954194)------------------------------
% 0.21/4.61 % (3954188)Success in time 3.755 s
% 0.21/4.61 % Vampire exiting
%------------------------------------------------------------------------------