%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD045-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 09:49:11 AM UTC 2026
% Result : Unsatisfiable 16.22s 2.98s
% Output : Refutation 17.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 71 ( 59 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',associativity_addition_2) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
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/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_2) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',distributivity_2) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',totality_of_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,axiom,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).
fof(f30,negated_conjecture,
product(additive_inverse(a),additive_inverse(b),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_4) ).
fof(f31,negated_conjecture,
~ product(a,b,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_5) ).
fof(f32,plain,
~ product(b,a,u),
inference(unit_resulting_resolution,[],[f10,f31]) ).
fof(f33,plain,
product(additive_inverse(b),additive_inverse(a),u),
inference(unit_resulting_resolution,[],[f10,f30]) ).
fof(f35,plain,
sum(additive_inverse(a),a,additive_identity),
inference(unit_resulting_resolution,[],[f4,f27]) ).
fof(f36,plain,
sum(additive_inverse(b),b,additive_identity),
inference(unit_resulting_resolution,[],[f4,f28]) ).
fof(f37,plain,
sum(additive_inverse(u),u,additive_identity),
inference(unit_resulting_resolution,[],[f4,f29]) ).
fof(f38,plain,
product(multiplicative_identity,a,a),
inference(unit_resulting_resolution,[],[f8,f27]) ).
fof(f40,plain,
product(multiplicative_identity,u,u),
inference(unit_resulting_resolution,[],[f8,f29]) ).
fof(f65,plain,
defined(additive_inverse(a)),
inference(unit_resulting_resolution,[],[f15,f27]) ).
fof(f66,plain,
defined(additive_inverse(b)),
inference(unit_resulting_resolution,[],[f15,f28]) ).
fof(f68,plain,
sum(additive_identity,a,a),
inference(unit_resulting_resolution,[],[f3,f27]) ).
fof(f69,plain,
sum(additive_identity,b,b),
inference(unit_resulting_resolution,[],[f3,f28]) ).
fof(f70,plain,
sum(additive_identity,u,u),
inference(unit_resulting_resolution,[],[f3,f29]) ).
fof(f71,plain,
sum(a,additive_inverse(a),additive_identity),
inference(unit_resulting_resolution,[],[f5,f35]) ).
fof(f72,plain,
sum(b,additive_inverse(b),additive_identity),
inference(unit_resulting_resolution,[],[f5,f36]) ).
fof(f73,plain,
sum(u,additive_inverse(u),additive_identity),
inference(unit_resulting_resolution,[],[f5,f37]) ).
fof(f74,plain,
sum(u,additive_identity,u),
inference(unit_resulting_resolution,[],[f5,f70]) ).
fof(f75,plain,
sum(a,additive_identity,a),
inference(unit_resulting_resolution,[],[f5,f68]) ).
fof(f84,plain,
product(a,b,multiply(a,b)),
inference(unit_resulting_resolution,[],[f20,f28,f27]) ).
fof(f115,plain,
product(additive_inverse(a),b,multiply(additive_inverse(a),b)),
inference(unit_resulting_resolution,[],[f20,f28,f65]) ).
fof(f146,plain,
sum(additive_identity,additive_inverse(b),additive_inverse(b)),
inference(unit_resulting_resolution,[],[f3,f66]) ).
fof(f162,plain,
product(additive_inverse(b),a,multiply(additive_inverse(b),a)),
inference(unit_resulting_resolution,[],[f20,f27,f66]) ).
fof(f277,plain,
product(additive_inverse(a),additive_identity,multiply(additive_inverse(a),additive_identity)),
inference(unit_resulting_resolution,[],[f20,f65,f14]) ).
fof(f280,plain,
product(a,additive_identity,multiply(a,additive_identity)),
inference(unit_resulting_resolution,[],[f20,f27,f14]) ).
fof(f282,plain,
product(u,additive_identity,multiply(u,additive_identity)),
inference(unit_resulting_resolution,[],[f20,f29,f14]) ).
fof(f311,plain,
product(additive_identity,u,multiply(u,additive_identity)),
inference(unit_resulting_resolution,[],[f10,f282]) ).
fof(f358,plain,
product(additive_identity,a,multiply(a,additive_identity)),
inference(unit_resulting_resolution,[],[f10,f280]) ).
fof(f377,plain,
product(b,a,multiply(a,b)),
inference(unit_resulting_resolution,[],[f10,f84]) ).
fof(f795,plain,
sum(additive_identity,multiplicative_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f3,f17]) ).
fof(f838,plain,
sum(multiply(a,additive_identity),a,a),
inference(unit_resulting_resolution,[],[f11,f38,f358,f38,f795]) ).
fof(f840,plain,
sum(multiply(u,additive_identity),u,u),
inference(unit_resulting_resolution,[],[f11,f40,f311,f40,f795]) ).
fof(f1446,plain,
product(b,additive_inverse(a),multiply(additive_inverse(a),b)),
inference(unit_resulting_resolution,[],[f10,f115]) ).
fof(f1623,plain,
product(a,additive_inverse(b),multiply(additive_inverse(b),a)),
inference(unit_resulting_resolution,[],[f10,f162]) ).
fof(f3094,plain,
sum(multiply(a,additive_identity),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f1,f71,f71,f838]) ).
fof(f3495,plain,
sum(multiply(u,additive_identity),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f1,f73,f73,f840]) ).
fof(f3791,plain,
product(additive_identity,additive_inverse(a),multiply(additive_inverse(a),additive_identity)),
inference(unit_resulting_resolution,[],[f10,f277]) ).
fof(f3805,plain,
sum(multiply(additive_inverse(a),b),u,multiply(additive_inverse(a),additive_identity)),
inference(unit_resulting_resolution,[],[f11,f33,f72,f1446,f3791]) ).
fof(f3811,plain,
sum(multiply(additive_inverse(a),additive_identity),u,u),
inference(unit_resulting_resolution,[],[f11,f33,f146,f33,f3791]) ).
fof(f3821,plain,
sum(multiply(additive_inverse(a),additive_identity),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f1,f73,f73,f3811]) ).
fof(f3931,plain,
sum(multiply(additive_inverse(a),b),u,additive_identity),
inference(unit_resulting_resolution,[],[f1,f74,f3821,f3805]) ).
fof(f3981,plain,
product(additive_identity,additive_inverse(a),additive_identity),
inference(unit_resulting_resolution,[],[f12,f72,f33,f1446,f3931]) ).
fof(f4019,plain,
product(additive_inverse(a),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f10,f3981]) ).
fof(f4098,plain,
product(additive_identity,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f12,f3094,f280,f71,f4019]) ).
fof(f4221,plain,
product(a,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f12,f3094,f280,f75,f4098]) ).
fof(f4225,plain,
product(u,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f12,f3495,f282,f74,f4098]) ).
fof(f4291,plain,
product(additive_identity,a,additive_identity),
inference(unit_resulting_resolution,[],[f10,f4221]) ).
fof(f4429,plain,
sum(multiply(additive_inverse(b),a),multiply(a,b),additive_identity),
inference(unit_resulting_resolution,[],[f11,f377,f162,f36,f4291]) ).
fof(f4487,plain,
~ sum(additive_identity,multiply(a,b),u),
inference(unit_resulting_resolution,[],[f12,f32,f377,f69,f4291]) ).
fof(f4893,plain,
product(additive_identity,u,additive_identity),
inference(unit_resulting_resolution,[],[f10,f4225]) ).
fof(f5050,plain,
product(additive_identity,additive_inverse(b),additive_identity),
inference(unit_resulting_resolution,[],[f7,f30,f3981,f4893]) ).
fof(f5904,plain,
sum(u,multiply(additive_inverse(b),a),additive_identity),
inference(unit_resulting_resolution,[],[f11,f1623,f35,f30,f5050]) ).
fof(f14157,plain,
sum(additive_identity,multiply(a,b),u),
inference(unit_resulting_resolution,[],[f2,f74,f5904,f4429]) ).
fof(f14163,plain,
$false,
inference(forward_subsumption_resolution,[],[f14157,f4487]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD045-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n014.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 00:37:31 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 7.62/1.99 % (2336061)Input is clausal, will run a generic CNF schedule.
% 7.62/1.99 % (2336069)lrs+10_1_sil=8000:sp=occurrence:random_seed=1907115717:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.62/1.99 % (2336069)Instruction limit reached!
% 7.62/1.99 % (2336069)------------------------------
% 7.62/1.99 % (2336069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.99 % (2336069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.99 % (2336069)CaDiCaL version: 2.1.3
% 7.62/1.99 % (2336069)Termination reason: Instruction limit
% 7.62/1.99 % (2336069)Termination phase: Saturation
% 7.62/1.99 % (2336069)Time elapsed: 0.038 s
% 7.62/1.99 % (2336069)Peak memory usage: 89 MB
% 7.62/1.99 % (2336069)Instructions burned: 108 (million)
% 7.62/1.99 % (2336070)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3235329264:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.62/1.99 % (2336067)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3467405614:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.62/1.99 % (2336068)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=894179010:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.62/1.99 % (2336066)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=22350559:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.62/1.99 % (2336071)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4225101469:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.62/1.99 % (2336072)dis-21_1_sil=8000:lcm=predicate:random_seed=192664181: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)
% 7.62/1.99 % (2336070)Instruction limit reached!
% 7.62/1.99 % (2336070)------------------------------
% 7.62/1.99 % (2336070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.99 % (2336070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.99 % (2336070)CaDiCaL version: 2.1.3
% 7.62/1.99 % (2336070)Termination reason: Instruction limit
% 7.62/1.99 % (2336070)Termination phase: Saturation
% 7.62/1.99 % (2336070)Time elapsed: 0.061 s
% 7.62/1.99 % (2336070)Peak memory usage: 88 MB
% 7.62/1.99 % (2336070)Instructions burned: 114 (million)
% 7.62/1.99 % (2336072)Instruction limit reached!
% 7.62/1.99 % (2336072)------------------------------
% 7.62/1.99 % (2336072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.99 % (2336072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.99 % (2336072)CaDiCaL version: 2.1.3
% 7.62/1.99 % (2336072)Termination reason: Instruction limit
% 7.62/1.99 % (2336072)Termination phase: Saturation
% 7.62/1.99 % (2336072)Time elapsed: 0.054 s
% 7.62/1.99 % (2336072)Peak memory usage: 88 MB
% 7.62/1.99 % (2336072)Instructions burned: 118 (million)
% 7.62/1.99 % (2336078)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=1088193636:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.62/1.99 % (2336071)Instruction limit reached!
% 7.62/1.99 % (2336071)------------------------------
% 7.62/1.99 % (2336071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.99 % (2336071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.99 % (2336071)CaDiCaL version: 2.1.3
% 7.62/1.99 % (2336071)Termination reason: Instruction limit
% 7.62/1.99 % (2336071)Termination phase: Saturation
% 7.62/1.99 % (2336071)Time elapsed: 0.109 s
% 7.62/1.99 % (2336071)Peak memory usage: 88 MB
% 7.62/1.99 % (2336071)Instructions burned: 181 (million)
% 7.62/1.99 % (2336078)Instruction limit reached!
% 7.62/1.99 % (2336078)------------------------------
% 7.62/1.99 % (2336078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.99 % (2336078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.99 % (2336078)CaDiCaL version: 2.1.3
% 7.62/1.99 % (2336078)Termination reason: Instruction limit
% 7.62/1.99 % (2336078)Termination phase: Saturation
% 7.62/1.99 % (2336078)Time elapsed: 0.052 s
% 7.62/1.99 % (2336078)Peak memory usage: 89 MB
% 7.62/1.99 % (2336078)Instructions burned: 146 (million)
% 7.62/1.99 % (2336081)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=294656524: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)
% 16.22/2.98 % (2336082)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2677536019:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 16.22/2.98 % (2336085)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=92383746:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 16.22/2.98 % (2336084)lrs+10_64_to=lpo:sil=8000:random_seed=2271175766:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 16.22/2.98 % (2336081)Instruction limit reached!
% 16.22/2.98 % (2336081)------------------------------
% 16.22/2.98 % (2336081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/2.98 % (2336081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/2.98 % (2336081)CaDiCaL version: 2.1.3
% 16.22/2.98 % (2336081)Termination reason: Instruction limit
% 16.22/2.98 % (2336081)Termination phase: Saturation
% 16.22/2.98 % (2336081)Time elapsed: 0.098 s
% 16.22/2.98 % (2336081)Peak memory usage: 92 MB
% 16.22/2.98 % (2336081)Instructions burned: 191 (million)
% 16.22/2.98 % (2336084)Instruction limit reached!
% 16.22/2.98 % (2336084)------------------------------
% 16.22/2.98 % (2336084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/2.98 % (2336084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/2.98 % (2336084)CaDiCaL version: 2.1.3
% 16.22/2.98 % (2336084)Termination reason: Instruction limit
% 16.22/2.98 % (2336084)Termination phase: Saturation
% 16.22/2.98 % (2336084)Time elapsed: 0.064 s
% 16.22/2.98 % (2336084)Peak memory usage: 88 MB
% 16.22/2.98 % (2336084)Instructions burned: 127 (million)
% 16.22/2.98 % (2336085)Instruction limit reached!
% 16.22/2.98 % (2336085)------------------------------
% 16.22/2.98 % (2336085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/2.98 % (2336085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/2.98 % (2336085)CaDiCaL version: 2.1.3
% 16.22/2.98 % (2336085)Termination reason: Instruction limit
% 16.22/2.98 % (2336085)Termination phase: Saturation
% 16.22/2.98 % (2336085)Time elapsed: 0.071 s
% 16.22/2.98 % (2336085)Peak memory usage: 89 MB
% 16.22/2.98 % (2336085)Instructions burned: 194 (million)
% 16.22/2.98 % (2336082)Instruction limit reached!
% 16.22/2.98 % (2336082)------------------------------
% 16.22/2.98 % (2336082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/2.98 % (2336082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/2.98 % (2336082)CaDiCaL version: 2.1.3
% 16.22/2.98 % (2336082)Termination reason: Instruction limit
% 16.22/2.98 % (2336082)Termination phase: Saturation
% 16.22/2.98 % (2336082)Time elapsed: 0.133 s
% 16.22/2.98 % (2336082)Peak memory usage: 89 MB
% 16.22/2.98 % (2336082)Instructions burned: 220 (million)
% 16.22/2.98 % (2336090)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2447898979:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 16.22/2.98 % (2336092)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=2942191286:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 16.22/2.98 % (2336092)Instruction limit reached!
% 16.22/2.98 % (2336092)------------------------------
% 16.22/2.98 % (2336092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/2.98 % (2336092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/2.98 % (2336091)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1428750829:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 16.22/2.98 % (2336092)CaDiCaL version: 2.1.3
% 16.22/2.98 % (2336092)Termination reason: Instruction limit
% 16.22/2.98 % (2336092)Termination phase: Saturation
% 16.22/2.98 % (2336092)Time elapsed: 0.029 s
% 16.22/2.98 % (2336092)Peak memory usage: 90 MB
% 16.22/2.98 % (2336092)Instructions burned: 110 (million)
% 16.22/2.98 % (2336093)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2143250582:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 16.22/2.98 % (2336090)Instruction limit reached!
% 16.22/2.98 % (2336090)------------------------------
% 16.22/2.98 % (2336090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/2.98 % (2336090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/2.98 % (2336090)CaDiCaL version: 2.1.3
% 16.22/2.98 % (2336090)Termination reason: Instruction limit
% 16.22/2.98 % (2336090)Termination phase: Saturation
% 16.22/2.98 % (2336090)Time elapsed: 0.110 s
% 16.22/2.98 % (2336090)Peak memory usage: 90 MB
% 16.22/2.98 % (2336090)Instructions burned: 158 (million)
% 16.22/2.98 % (2336093)Instruction limit reached!
% 16.22/2.98 % (2336093)------------------------------
% 16.22/2.98 % (2336093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/2.98 % (2336093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/2.98 % (2336093)CaDiCaL version: 2.1.3
% 16.22/2.98 % (2336093)Termination reason: Instruction limit
% 16.22/2.98 % (2336093)Termination phase: Saturation
% 16.22/2.98 % (2336093)Time elapsed: 0.072 s
% 16.22/2.98 % (2336093)Peak memory usage: 88 MB
% 16.22/2.98 % (2336093)Instructions burned: 109 (million)
% 16.22/2.98 % (2336097)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=566953247:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 16.22/2.98 % (2336097)Instruction limit reached!
% 16.22/2.98 % (2336097)------------------------------
% 16.22/2.98 % (2336097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/2.98 % (2336097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/2.98 % (2336097)CaDiCaL version: 2.1.3
% 16.22/2.98 % (2336097)Termination reason: Instruction limit
% 16.22/2.98 % (2336097)Termination phase: Saturation
% 16.22/2.98 % (2336097)Time elapsed: 0.084 s
% 16.22/2.98 % (2336097)Peak memory usage: 89 MB
% 16.22/2.98 % (2336097)Instructions burned: 245 (million)
% 16.22/2.98 % (2336099)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1621147291:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 16.22/2.98 % (2336100)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1694658628:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 16.22/2.98 % (2336102)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1009613944:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 16.22/2.98 % (2336100)Instruction limit reached!
% 16.22/2.98 % (2336100)------------------------------
% 16.22/2.98 % (2336100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/2.98 % (2336100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/2.98 % (2336100)CaDiCaL version: 2.1.3
% 16.22/2.98 % (2336100)Termination reason: Instruction limit
% 16.22/2.98 % (2336100)Termination phase: Saturation
% 16.22/2.98 % (2336100)Time elapsed: 0.086 s
% 16.22/2.98 % (2336100)Peak memory usage: 89 MB
% 16.22/2.98 % (2336100)Instructions burned: 134 (million)
% 16.22/2.98 % (2336102)Instruction limit reached!
% 16.22/2.98 % (2336102)------------------------------
% 16.22/2.98 % (2336102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/2.98 % (2336102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/2.98 % (2336102)CaDiCaL version: 2.1.3
% 16.22/2.98 % (2336102)Termination reason: Instruction limit
% 16.22/2.98 % (2336102)Termination phase: Saturation
% 16.22/2.98 % (2336102)Time elapsed: 0.144 s
% 16.22/2.98 % (2336102)Peak memory usage: 100 MB
% 16.22/2.98 % (2336102)Instructions burned: 502 (million)
% 16.22/2.98 % (2336106)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1738088847:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 16.22/2.98 % (2336107)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=237389698:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 16.22/2.98 % (2336106)Instruction limit reached!
% 16.22/2.98 % (2336106)------------------------------
% 16.22/2.98 % (2336106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/2.98 % (2336106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/2.98 % (2336106)CaDiCaL version: 2.1.3
% 16.22/2.98 % (2336106)Termination reason: Instruction limit
% 16.22/2.98 % (2336106)Termination phase: Saturation
% 16.22/2.98 % (2336106)Time elapsed: 0.119 s
% 16.22/2.98 % (2336106)Peak memory usage: 92 MB
% 16.22/2.98 % (2336106)Instructions burned: 192 (million)
% 16.22/2.98 % (2336107)Instruction limit reached!
% 16.22/2.98 % (2336107)------------------------------
% 16.22/2.98 % (2336107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/2.98 % (2336107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/2.98 % (2336107)CaDiCaL version: 2.1.3
% 16.22/2.98 % (2336107)Termination reason: Instruction limit
% 16.22/2.98 % (2336107)Termination phase: Saturation
% 16.22/2.98 % (2336107)Time elapsed: 0.088 s
% 16.22/2.98 % (2336107)Peak memory usage: 90 MB
% 16.22/2.98 % (2336107)Instructions burned: 267 (million)
% 16.22/2.98 % (2336110)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2541592441:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 16.22/2.98 % (2336111)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=4056886994:i=3256:kws=precedence:bd=preordered:av=off_2986 on theBenchmark for (2986ds/3256Mi)
% 16.22/2.98 % (2336110)Instruction limit reached!
% 16.22/2.98 % (2336110)------------------------------
% 16.22/2.98 % (2336110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/2.98 % (2336110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/2.98 % (2336110)CaDiCaL version: 2.1.3
% 16.22/2.98 % (2336110)Termination reason: Instruction limit
% 16.22/2.98 % (2336110)Termination phase: Saturation
% 16.22/2.98 % (2336110)Time elapsed: 0.099 s
% 16.22/2.98 % (2336110)Peak memory usage: 89 MB
% 16.22/2.98 % (2336110)Instructions burned: 158 (million)
% 16.22/2.98 % (2336114)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2955687857:i=537:av=off:ss=included_2984 on theBenchmark for (2984ds/537Mi)
% 16.22/2.98 % (2336114)Instruction limit reached!
% 16.22/2.98 % (2336114)------------------------------
% 16.22/2.98 % (2336114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/2.98 % (2336114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/2.98 % (2336114)CaDiCaL version: 2.1.3
% 16.22/2.98 % (2336114)Termination reason: Instruction limit
% 16.22/2.98 % (2336114)Termination phase: Saturation
% 16.22/2.98 % (2336114)Time elapsed: 0.257 s
% 16.22/2.98 % (2336114)Peak memory usage: 88 MB
% 16.22/2.98 % (2336114)Instructions burned: 538 (million)
% 16.22/2.98 % (2336067)First to succeed.
% 16.22/2.98 % (2336067)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2336061"
% 16.22/2.98 % (2336116)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=1034993361:i=180:bd=preordered:av=off_2980 on theBenchmark for (2980ds/180Mi)
% 16.22/2.98 % (2336116)Instruction limit reached!
% 16.22/2.98 % (2336116)------------------------------
% 16.22/2.98 % (2336116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/2.98 % (2336116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/2.98 % (2336116)CaDiCaL version: 2.1.3
% 16.22/2.98 % (2336116)Termination reason: Instruction limit
% 16.22/2.98 % (2336116)Termination phase: Saturation
% 16.22/2.98 % (2336116)Time elapsed: 0.090 s
% 16.22/2.98 % (2336116)Peak memory usage: 93 MB
% 16.22/2.98 % (2336116)Instructions burned: 180 (million)
% 16.22/2.98 % (2336067)Refutation found. Thanks to Tanya!
% 16.22/2.98 % SZS status Unsatisfiable for theBenchmark
% 16.22/2.98 % SZS output start Proof for theBenchmark
% See solution above
% 17.02/3.17 % (2336067)------------------------------
% 17.02/3.17 % (2336067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.02/3.17 % (2336067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.02/3.17 % (2336067)CaDiCaL version: 2.1.3
% 17.02/3.17 % (2336067)Termination reason: Refutation
% 17.02/3.17 % (2336067)Time elapsed: 1.884 s
% 17.02/3.17 % (2336067)Peak memory usage: 141 MB
% 17.02/3.17 % (2336067)Instructions burned: 3259 (million)
% 17.02/3.17 % (2336067)------------------------------
% 17.02/3.17 % (2336067)------------------------------
% 17.02/3.17 % (2336061)Success in time 2.318 s
% 17.02/3.17 % Vampire exiting
%------------------------------------------------------------------------------