%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA047_1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:28:29 PM UTC 2026
% Result : Theorem 6.24s 1.88s
% Output : Refutation 6.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 0 ( 0 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number arithmetic : 108 ( 0 atm; 64 fun; 21 num; 23 var)
% Number of types : 2 ( 0 usr; 2 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 8 usr; 5 con; 0-4 aty)
% Number of variables : 23 ( 23 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
lk: $int > $int ).
tff(func_def_1,type,
ns: $int > $int ).
tff(func_def_2,type,
dc: ( $real * $int * $int ) > $real ).
tff(func_def_3,type,
imp: ( $real * $int * $int ) > $real ).
tff(func_def_4,type,
recexp: ( $real * $int * $int ) > $real ).
tff(func_def_5,type,
mysumr: ( $real * $int * $int * $int ) > $real ).
tff(func_def_6,type,
mysump: ( $real * $int * $int * $int ) > $real ).
tff(func_def_40,type,
sK0: $real ).
tff(f10,negated_conjecture,
ns(0) = 10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ns_0) ).
tff(f17,negated_conjecture,
! [X0: $real,X1: $int,X2: $int] : ( $product(dc(X0,X1,X2),$to_real($difference(X1,ns(X2)))) = $difference($to_real(X1),$product(X0,$to_real(ns(X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dc) ).
tff(f28,plain,
! [X1: $int,X2: $int,X0: $real] : ( $sum($to_real(X1),$uminus($product(X0,$to_real(ns(X2))))) = $product(dc(X0,X1,X2),$to_real($sum(X1,$uminus(ns(X2))))) ),
inference(theory_normalization,[],[f17]) ).
tff(f36,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(definition,[],[tha_inverse_op_unit]) ).
tff(f55,plain,
! [X0: $real,X1: $real] : ( $product(X1,X0) = $product(X0,X1) ),
introduced(definition,[],[tha_commutativity]) ).
tff(f58,plain,
! [X0: $real] : ( 0/1 = $product(X0,0/1) ),
introduced(definition,[],[tha_times_zero]) ).
tff(f78,plain,
! [X0: $int,X1: $int,X2: $real] : ( $product(dc(X2,X0,X1),$to_real($sum(X0,$uminus(ns(X1))))) = $sum($to_real(X0),$uminus($product(X2,$to_real(ns(X1))))) ),
inference(rectify,[],[f28]) ).
tff(f96,plain,
! [X2: $real,X0: $int,X1: $int] : ( $product(dc(X2,X0,X1),$to_real($sum(X0,$uminus(ns(X1))))) = $sum($to_real(X0),$uminus($product(X2,$to_real(ns(X1))))) ),
inference(cnf_transformation,[],[f78]) ).
tff(f98,plain,
ns(0) = 10,
inference(cnf_transformation,[],[f10]) ).
tff(f161,plain,
! [X0: $real,X1: $int] : ( $sum($to_real(ns(X1)),$uminus($product(X0,$to_real(ns(X1))))) = $product(dc(X0,ns(X1),X1),$to_real(0)) ),
inference(superposition,[],[f96,f36]) ).
tff(f162,plain,
! [X0: $real,X1: $int] : ( 0/1 = $sum($to_real(ns(X1)),$uminus($product(X0,$to_real(ns(X1))))) ),
inference(evaluation,[],[f161]) ).
tff(f164,plain,
! [X0: $real] : ( 0/1 = $sum($to_real(10),$uminus($product(X0,$to_real(10)))) ),
inference(superposition,[],[f162,f98]) ).
tff(f175,plain,
! [X0: $real] : ( 0/1 = $sum(10/1,$uminus($product(X0,10/1))) ),
inference(evaluation,[],[f164]) ).
tff(f440,plain,
! [X0: $real] : ( 0/1 = $sum(10/1,$uminus($product(10/1,X0))) ),
inference(superposition,[],[f175,f55]) ).
tff(f615,plain,
0/1 = $sum(10/1,$uminus(0/1)),
inference(superposition,[],[f440,f58]) ).
tff(f618,plain,
$false,
inference(evaluation,[],[f615]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA047_1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n020.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 22:15:20 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 3.89/1.54 % (3814585)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.89/1.54 % (3814594)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=933412530:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.89/1.54 % (3814594)Instruction limit reached!
% 3.89/1.54 % (3814594)------------------------------
% 3.89/1.54 % (3814594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.54 % (3814594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.54 % (3814594)CaDiCaL version: 2.1.3
% 3.89/1.54 % (3814594)Termination reason: Instruction limit
% 3.89/1.54 % (3814594)Termination phase: Saturation
% 3.89/1.54 % (3814594)Time elapsed: 0.003 s
% 3.89/1.54 % (3814594)Peak memory usage: 89 MB
% 3.89/1.54 % (3814594)Instructions burned: 8 (million)
% 3.89/1.54 % (3814591)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1733390521:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.89/1.54 % (3814595)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2870745959:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.89/1.54 % (3814592)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4181907321:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.89/1.54 % (3814596)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3444070483:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.89/1.54 % (3814593)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2926655937:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.89/1.54 % (3814590)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3914381389:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.89/1.54 % (3814593)Instruction limit reached!
% 3.89/1.54 % (3814593)------------------------------
% 3.89/1.54 % (3814593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.54 % (3814593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.54 % (3814593)CaDiCaL version: 2.1.3
% 3.89/1.54 % (3814593)Termination reason: Instruction limit
% 3.89/1.54 % (3814593)Termination phase: Saturation
% 3.89/1.54 % (3814593)Time elapsed: 0.005 s
% 3.89/1.54 % (3814593)Peak memory usage: 88 MB
% 3.89/1.54 % (3814593)Instructions burned: 7 (million)
% 3.89/1.54 % (3814590)Instruction limit reached!
% 3.89/1.54 % (3814590)------------------------------
% 3.89/1.54 % (3814590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.54 % (3814590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.54 % (3814590)CaDiCaL version: 2.1.3
% 3.89/1.54 % (3814590)Termination reason: Instruction limit
% 3.89/1.54 % (3814590)Termination phase: Saturation
% 3.89/1.54 % (3814590)Time elapsed: 0.031 s
% 3.89/1.54 % (3814590)Peak memory usage: 115 MB
% 3.89/1.54 % (3814590)Instructions burned: 13 (million)
% 3.89/1.54 % (3814595)Refutation not found, incomplete strategy
% 3.89/1.54 % (3814595)------------------------------
% 3.89/1.54 % (3814595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.54 % (3814595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.54 % (3814595)CaDiCaL version: 2.1.3
% 3.89/1.54 % (3814595)Termination reason: Refutation not found, incomplete strategy
% 3.89/1.54 % (3814595)Time elapsed: 0.034 s
% 3.89/1.54 % (3814595)Peak memory usage: 115 MB
% 3.89/1.54 % (3814595)Instructions burned: 14 (million)
% 3.89/1.54 % (3814591)Refutation not found, incomplete strategy
% 3.89/1.54 % (3814591)------------------------------
% 3.89/1.54 % (3814591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.54 % (3814591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.54 % (3814591)CaDiCaL version: 2.1.3
% 3.89/1.54 % (3814591)Termination reason: Refutation not found, incomplete strategy
% 3.89/1.54 % (3814591)Time elapsed: 0.038 s
% 3.89/1.54 % (3814591)Peak memory usage: 115 MB
% 3.89/1.54 % (3814591)Instructions burned: 20 (million)
% 3.89/1.54 % (3814596)Instruction limit reached!
% 3.89/1.54 % (3814596)------------------------------
% 3.89/1.54 % (3814596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.54 % (3814596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.68 % (3814596)CaDiCaL version: 2.1.3
% 4.43/1.68 % (3814596)Termination reason: Instruction limit
% 4.43/1.68 % (3814596)Termination phase: Saturation
% 4.43/1.68 % (3814596)Time elapsed: 0.046 s
% 4.43/1.68 % (3814596)Peak memory usage: 116 MB
% 4.43/1.68 % (3814596)Instructions burned: 34 (million)
% 4.43/1.68 % (3814598)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=4278072826:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.43/1.68 % (3814598)Refutation not found, incomplete strategy
% 4.43/1.68 % (3814598)------------------------------
% 4.43/1.68 % (3814598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.68 % (3814598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.68 % (3814598)CaDiCaL version: 2.1.3
% 4.43/1.68 % (3814598)Termination reason: Refutation not found, incomplete strategy
% 4.43/1.68 % (3814598)Time elapsed: 0.002 s
% 4.43/1.68 % (3814598)Peak memory usage: 89 MB
% 4.43/1.68 % (3814598)Instructions burned: 4 (million)
% 4.43/1.68 % (3814592)Instruction limit reached!
% 4.43/1.68 % (3814592)------------------------------
% 4.43/1.68 % (3814592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.68 % (3814592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.68 % (3814592)CaDiCaL version: 2.1.3
% 4.43/1.68 % (3814592)Termination reason: Instruction limit
% 4.43/1.68 % (3814592)Termination phase: Saturation
% 4.43/1.68 % (3814592)Time elapsed: 0.109 s
% 4.43/1.68 % (3814592)Peak memory usage: 112 MB
% 4.43/1.68 % (3814592)Instructions burned: 202 (million)
% 4.43/1.68 % (3814605)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2972734057:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.43/1.68 % (3814605)Instruction limit reached!
% 4.43/1.68 % (3814605)------------------------------
% 4.43/1.68 % (3814605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.68 % (3814605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.68 % (3814605)CaDiCaL version: 2.1.3
% 4.43/1.68 % (3814605)Termination reason: Instruction limit
% 4.43/1.68 % (3814605)Termination phase: Saturation
% 4.43/1.68 % (3814605)Time elapsed: 0.023 s
% 4.43/1.68 % (3814605)Peak memory usage: 89 MB
% 4.43/1.68 % (3814605)Instructions burned: 30 (million)
% 4.43/1.68 % (3814606)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2615376635:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.43/1.68 % (3814606)Instruction limit reached!
% 4.43/1.68 % (3814606)------------------------------
% 4.43/1.68 % (3814606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.68 % (3814606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.68 % (3814606)CaDiCaL version: 2.1.3
% 4.43/1.68 % (3814606)Termination reason: Instruction limit
% 4.43/1.68 % (3814606)Termination phase: Saturation
% 4.43/1.68 % (3814606)Time elapsed: 0.011 s
% 4.43/1.68 % (3814606)Peak memory usage: 90 MB
% 4.43/1.68 % (3814606)Instructions burned: 16 (million)
% 4.43/1.68 % (3814607)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1172599783:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.43/1.68 % (3814607)Instruction limit reached!
% 4.43/1.68 % (3814607)------------------------------
% 4.43/1.68 % (3814607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.68 % (3814607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.68 % (3814607)CaDiCaL version: 2.1.3
% 4.43/1.68 % (3814607)Termination reason: Instruction limit
% 4.43/1.68 % (3814607)Termination phase: Saturation
% 4.43/1.68 % (3814607)Time elapsed: 0.019 s
% 4.43/1.68 % (3814607)Peak memory usage: 89 MB
% 4.43/1.68 % (3814607)Instructions burned: 25 (million)
% 4.43/1.68 % (3814598)------------------------------
% 4.43/1.68 % (3814598)------------------------------
% 4.43/1.68 % (3814609)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=1199940138:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.43/1.68 % (3814595)------------------------------
% 4.43/1.68 % (3814595)------------------------------
% 4.43/1.68 % (3814591)------------------------------
% 4.43/1.68 % (3814591)------------------------------
% 4.43/1.68 % (3814609)Instruction limit reached!
% 6.24/1.88 % (3814609)------------------------------
% 6.24/1.88 % (3814609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (3814609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (3814609)CaDiCaL version: 2.1.3
% 6.24/1.88 % (3814609)Termination reason: Instruction limit
% 6.24/1.88 % (3814609)Termination phase: Saturation
% 6.24/1.88 % (3814609)Time elapsed: 0.016 s
% 6.24/1.88 % (3814609)Peak memory usage: 89 MB
% 6.24/1.88 % (3814609)Instructions burned: 29 (million)
% 6.24/1.88 % (3814613)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2435804381:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 6.24/1.88 % (3814612)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=464445772:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 6.24/1.88 % (3814613)Instruction limit reached!
% 6.24/1.88 % (3814613)------------------------------
% 6.24/1.88 % (3814613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (3814613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (3814613)CaDiCaL version: 2.1.3
% 6.24/1.88 % (3814613)Termination reason: Instruction limit
% 6.24/1.88 % (3814613)Termination phase: Saturation
% 6.24/1.88 % (3814613)Time elapsed: 0.002 s
% 6.24/1.88 % (3814613)Peak memory usage: 87 MB
% 6.24/1.88 % (3814613)Instructions burned: 2 (million)
% 6.24/1.88 % (3814612)First to succeed.
% 6.24/1.88 % (3814612)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3814585"
% 6.24/1.88 % (3814615)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1124954508:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 6.24/1.88 % (3814616)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2551691271:i=4:ep=RST:ins=2:rtra=on_2995 on theBenchmark for (2995ds/4Mi)
% 6.24/1.88 % (3814615)Refutation not found, incomplete strategy
% 6.24/1.88 % (3814615)------------------------------
% 6.24/1.88 % (3814615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (3814615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (3814615)CaDiCaL version: 2.1.3
% 6.24/1.88 % (3814615)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.88 % (3814615)Time elapsed: 0.002 s
% 6.24/1.88 % (3814615)Peak memory usage: 89 MB
% 6.24/1.88 % (3814615)Instructions burned: 1 (million)
% 6.24/1.88 % (3814616)Instruction limit reached!
% 6.24/1.88 % (3814616)------------------------------
% 6.24/1.88 % (3814616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (3814616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (3814616)CaDiCaL version: 2.1.3
% 6.24/1.88 % (3814616)Termination reason: Instruction limit
% 6.24/1.88 % (3814616)Termination phase: Saturation
% 6.24/1.88 % (3814616)Time elapsed: 0.002 s
% 6.24/1.88 % (3814616)Peak memory usage: 89 MB
% 6.24/1.88 % (3814616)Instructions burned: 4 (million)
% 6.24/1.88 % (3814618)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=148750215:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2995 on theBenchmark for (2995ds/66Mi)
% 6.24/1.88 % (3814619)lrs+10_1_thi=all:si=on:fd=off:random_seed=134072248:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 6.24/1.88 % (3814620)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=4263110272:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 6.24/1.88 % (3814620)Instruction limit reached!
% 6.24/1.88 % (3814620)------------------------------
% 6.24/1.88 % (3814620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (3814620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (3814620)CaDiCaL version: 2.1.3
% 6.24/1.88 % (3814620)Termination reason: Instruction limit
% 6.24/1.88 % (3814620)Termination phase: Saturation
% 6.24/1.88 % (3814620)Time elapsed: 0.006 s
% 6.24/1.88 % (3814620)Peak memory usage: 88 MB
% 6.24/1.88 % (3814620)Instructions burned: 8 (million)
% 6.24/1.88 % (3814619)Also succeeded, but the first one will report.
% 6.24/1.88 % (3814623)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=339301897:st=3:i=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/2Mi)
% 6.24/1.88 % (3814623)Instruction limit reached!
% 6.24/1.88 % (3814623)------------------------------
% 6.24/1.88 % (3814623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (3814623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (3814623)CaDiCaL version: 2.1.3
% 6.24/1.88 % (3814623)Termination reason: Instruction limit
% 6.24/1.88 % (3814623)Termination phase: Saturation
% 6.24/1.88 % (3814623)Time elapsed: 0.002 s
% 6.24/1.88 % (3814623)Peak memory usage: 88 MB
% 6.24/1.88 % (3814623)Instructions burned: 2 (million)
% 6.24/1.88 % (3814626)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=217283810:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 6.24/1.88 % (3814626)Instruction limit reached!
% 6.24/1.88 % (3814626)------------------------------
% 6.24/1.88 % (3814626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (3814626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (3814626)CaDiCaL version: 2.1.3
% 6.24/1.88 % (3814626)Termination reason: Instruction limit
% 6.24/1.88 % (3814626)Termination phase: Saturation
% 6.24/1.88 % (3814626)Time elapsed: 0.001 s
% 6.24/1.88 % (3814626)Peak memory usage: 87 MB
% 6.24/1.88 % (3814626)Instructions burned: 2 (million)
% 6.24/1.88 % (3814618)Instruction limit reached!
% 6.24/1.88 % (3814618)------------------------------
% 6.24/1.88 % (3814618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (3814618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (3814618)CaDiCaL version: 2.1.3
% 6.24/1.88 % (3814618)Termination reason: Instruction limit
% 6.24/1.88 % (3814618)Termination phase: Saturation
% 6.24/1.88 % (3814618)Time elapsed: 0.089 s
% 6.24/1.88 % (3814618)Peak memory usage: 134 MB
% 6.24/1.88 % (3814618)Instructions burned: 66 (million)
% 6.24/1.88 % (3814630)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2017075026:i=127:doe=on:rtra=on_2993 on theBenchmark for (2993ds/127Mi)
% 6.24/1.88 % (3814612)Refutation found. Thanks to Tanya!
% 6.24/1.88 % SZS status Theorem for theBenchmark
% 6.24/1.88 % SZS output start Proof for theBenchmark
% See solution above
% 6.24/1.88 % (3814612)------------------------------
% 6.24/1.88 % (3814612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (3814612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (3814612)CaDiCaL version: 2.1.3
% 6.24/1.88 % (3814612)Termination reason: Refutation
% 6.24/1.88 % (3814612)Time elapsed: 0.027 s
% 6.24/1.88 % (3814612)Peak memory usage: 89 MB
% 6.24/1.88 % (3814612)Instructions burned: 42 (million)
% 6.24/1.88 % (3814612)------------------------------
% 6.24/1.88 % (3814612)------------------------------
% 6.24/1.88 % (3814585)Success in time 0.803 s
% 6.24/1.88 % Vampire exiting
%------------------------------------------------------------------------------