%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD049-3 : 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 : n008.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 09:49:12 AM UTC 2026
% Result : Unsatisfiable 10.73s 2.29s
% Output : Refutation 10.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 69 ( 34 unt; 5 def)
% Number of atoms : 122 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 106 ( 53 ~; 52 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f30,axiom,
defined(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).
fof(f31,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_5) ).
fof(f32,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_6) ).
fof(f33,negated_conjecture,
product(a,multiplicative_inverse(b),multiply(c,multiplicative_inverse(d))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_7) ).
fof(f34,negated_conjecture,
~ product(a,d,multiply(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_8) ).
fof(f35,definition,
sF0 = multiplicative_inverse(b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f36,plain,
multiplicative_inverse(b) = sF0,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF1 = multiplicative_inverse(d),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f38,plain,
multiplicative_inverse(d) = sF1,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF2 = multiply(c,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f40,plain,
multiply(c,sF1) = sF2,
inference(reorient_equations,[],[f39]) ).
fof(f41,plain,
product(a,sF0,sF2),
inference(definition_folding,[],[f33,f40,f38,f36]) ).
fof(f42,definition,
sF3 = multiply(b,c),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f43,plain,
multiply(b,c) = sF3,
inference(reorient_equations,[],[f42]) ).
fof(f44,plain,
~ product(a,d,sF3),
inference(definition_folding,[],[f34,f43]) ).
fof(f45,plain,
( product(sF1,d,multiplicative_identity)
| sum(additive_identity,d,additive_identity)
| ~ defined(d) ),
inference(superposition,[],[f9,f38]) ).
fof(f46,plain,
( product(sF1,d,multiplicative_identity)
| ~ defined(d) ),
inference(forward_subsumption_resolution,[],[f45,f32]) ).
fof(f47,plain,
product(sF1,d,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f46,f30]) ).
fof(f49,plain,
product(sF0,a,sF2),
inference(resolution,[],[f10,f41]) ).
fof(f52,plain,
( product(sF0,b,multiplicative_identity)
| sum(additive_identity,b,additive_identity)
| ~ defined(b) ),
inference(superposition,[],[f9,f36]) ).
fof(f53,plain,
( product(sF0,b,multiplicative_identity)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f52,f31]) ).
fof(f54,plain,
product(sF0,b,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f53,f28]) ).
fof(f55,plain,
product(b,sF0,multiplicative_identity),
inference(resolution,[],[f54,f10]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ product(X0,sF1,X1)
| product(X1,d,X2)
| ~ product(X0,multiplicative_identity,X2) ),
inference(resolution,[],[f7,f47]) ).
fof(f71,definition,
( spl4_1
<=> defined(sF1) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f72,plain,
( defined(sF1)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f73,plain,
( ~ defined(sF1)
| spl4_1 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f83,plain,
( product(b,c,sF3)
| ~ defined(b)
| ~ defined(c) ),
inference(superposition,[],[f20,f43]) ).
fof(f84,plain,
( product(c,sF1,sF2)
| ~ defined(c)
| ~ defined(sF1) ),
inference(superposition,[],[f20,f40]) ).
fof(f85,plain,
( product(b,c,sF3)
| ~ defined(c) ),
inference(forward_subsumption_resolution,[],[f83,f28]) ).
fof(f86,plain,
product(b,c,sF3),
inference(forward_subsumption_resolution,[],[f85,f29]) ).
fof(f89,plain,
product(c,b,sF3),
inference(resolution,[],[f86,f10]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ product(X1,b,X2)
| ~ product(X0,X1,c)
| product(X0,X2,sF3) ),
inference(resolution,[],[f89,f6]) ).
fof(f101,plain,
( ~ defined(d)
| defined(multiplicative_inverse(d)) ),
inference(resolution,[],[f18,f32]) ).
fof(f105,plain,
defined(multiplicative_inverse(d)),
inference(forward_subsumption_resolution,[],[f101,f30]) ).
fof(f107,plain,
defined(sF1),
inference(forward_demodulation,[],[f105,f38]) ).
fof(f108,plain,
( $false
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f107,f73]) ).
fof(f109,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f108]) ).
fof(f110,plain,
( product(c,sF1,sF2)
| ~ defined(sF1) ),
inference(forward_subsumption_resolution,[],[f84,f29]) ).
fof(f112,plain,
( product(c,sF1,sF2)
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f110,f72]) ).
fof(f135,plain,
! [X2,X3,X0,X1] :
( ~ product(X2,X0,X3)
| ~ product(X1,X2,multiplicative_identity)
| ~ defined(X0)
| product(X1,X3,X0) ),
inference(resolution,[],[f8,f6]) ).
fof(f137,plain,
! [X0] :
( product(X0,multiplicative_identity,X0)
| ~ defined(X0) ),
inference(resolution,[],[f8,f10]) ).
fof(f148,plain,
! [X0] :
( ~ product(X0,sF0,multiplicative_identity)
| ~ defined(a)
| product(X0,sF2,a) ),
inference(resolution,[],[f135,f49]) ).
fof(f157,plain,
! [X0] :
( ~ product(X0,sF0,multiplicative_identity)
| product(X0,sF2,a) ),
inference(forward_subsumption_resolution,[],[f148,f27]) ).
fof(f165,plain,
product(b,sF2,a),
inference(resolution,[],[f157,f55]) ).
fof(f180,plain,
product(sF2,b,a),
inference(resolution,[],[f165,f10]) ).
fof(f617,plain,
! [X0] :
( ~ product(X0,sF2,c)
| product(X0,a,sF3) ),
inference(resolution,[],[f93,f180]) ).
fof(f695,plain,
( ! [X0] :
( ~ product(c,multiplicative_identity,X0)
| product(sF2,d,X0) )
| ~ spl4_1 ),
inference(resolution,[],[f60,f112]) ).
fof(f3178,plain,
( product(sF2,d,c)
| ~ defined(c)
| ~ spl4_1 ),
inference(resolution,[],[f695,f137]) ).
fof(f3183,plain,
( product(sF2,d,c)
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f3178,f29]) ).
fof(f3190,plain,
( product(d,sF2,c)
| ~ spl4_1 ),
inference(resolution,[],[f3183,f10]) ).
fof(f3216,plain,
( product(d,a,sF3)
| ~ spl4_1 ),
inference(resolution,[],[f3190,f617]) ).
fof(f3265,plain,
( product(a,d,sF3)
| ~ spl4_1 ),
inference(resolution,[],[f3216,f10]) ).
fof(f3281,plain,
( $false
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f3265,f44]) ).
fof(f3282,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f3281]) ).
cnf(s2,plain,
spl4_1,
inference(sat_conversion,[],[f109]) ).
cnf(s125,plain,
~ spl4_1,
inference(sat_conversion,[],[f3282]) ).
cnf(s127,plain,
$false,
inference(rat,[],[s2,s125]) ).
fof(f3292,plain,
$false,
inference(avatar_sat_refutation,[],[s127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD049-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n008.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Sep 29 00:39:54 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 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
% 7.70/1.98 % (2815468)Input is clausal, will run a generic CNF schedule.
% 7.70/1.98 % (2815476)lrs+10_1_sil=8000:sp=occurrence:random_seed=248216632:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.70/1.98 % (2815476)Instruction limit reached!
% 7.70/1.98 % (2815476)------------------------------
% 7.70/1.98 % (2815476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.98 % (2815476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.98 % (2815476)CaDiCaL version: 2.1.3
% 7.70/1.98 % (2815476)Termination reason: Instruction limit
% 7.70/1.98 % (2815476)Termination phase: Saturation
% 7.70/1.98 % (2815476)Time elapsed: 0.037 s
% 7.70/1.98 % (2815476)Peak memory usage: 89 MB
% 7.70/1.98 % (2815476)Instructions burned: 109 (million)
% 7.70/1.98 % (2815473)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=1616792890:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.70/1.98 % (2815479)dis-21_1_sil=8000:lcm=predicate:random_seed=2021156499: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)
% 7.70/1.98 % (2815477)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=543294791:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.70/1.98 % (2815474)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3643645333:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.70/1.98 % (2815475)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3821800726:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.70/1.98 % (2815478)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2830450520:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.70/1.98 % (2815477)Instruction limit reached!
% 7.70/1.98 % (2815477)------------------------------
% 7.70/1.98 % (2815477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.98 % (2815477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.98 % (2815477)CaDiCaL version: 2.1.3
% 7.70/1.98 % (2815477)Termination reason: Instruction limit
% 7.70/1.98 % (2815477)Termination phase: Saturation
% 7.70/1.98 % (2815477)Time elapsed: 0.078 s
% 7.70/1.98 % (2815477)Peak memory usage: 88 MB
% 7.70/1.98 % (2815477)Instructions burned: 116 (million)
% 7.70/1.98 % (2815479)Instruction limit reached!
% 7.70/1.98 % (2815479)------------------------------
% 7.70/1.98 % (2815479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.98 % (2815479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.98 % (2815479)CaDiCaL version: 2.1.3
% 7.70/1.98 % (2815479)Termination reason: Instruction limit
% 7.70/1.98 % (2815479)Termination phase: Saturation
% 7.70/1.98 % (2815479)Time elapsed: 0.083 s
% 7.70/1.98 % (2815479)Peak memory usage: 89 MB
% 7.70/1.98 % (2815479)Instructions burned: 117 (million)
% 7.70/1.98 % (2815478)Instruction limit reached!
% 7.70/1.98 % (2815478)------------------------------
% 7.70/1.98 % (2815478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.98 % (2815478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.98 % (2815478)CaDiCaL version: 2.1.3
% 7.70/1.98 % (2815478)Termination reason: Instruction limit
% 7.70/1.98 % (2815478)Termination phase: Saturation
% 7.70/1.98 % (2815478)Time elapsed: 0.124 s
% 7.70/1.98 % (2815478)Peak memory usage: 89 MB
% 7.70/1.98 % (2815478)Instructions burned: 180 (million)
% 7.70/1.98 % (2815486)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=1811621192:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.70/1.98 % (2815486)Instruction limit reached!
% 7.70/1.98 % (2815486)------------------------------
% 7.70/1.98 % (2815486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/1.98 % (2815486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/1.98 % (2815486)CaDiCaL version: 2.1.3
% 7.70/1.98 % (2815486)Termination reason: Instruction limit
% 7.70/1.98 % (2815486)Termination phase: Saturation
% 7.70/1.98 % (2815486)Time elapsed: 0.043 s
% 7.70/1.98 % (2815486)Peak memory usage: 88 MB
% 7.70/1.98 % (2815486)Instructions burned: 144 (million)
% 7.70/1.98 % (2815489)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2536658786:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.12/2.10 % (2815488)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1004894250: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)
% 10.12/2.10 % (2815490)lrs+10_64_to=lpo:sil=8000:random_seed=47676832:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 10.12/2.10 % (2815492)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1068513970:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 10.12/2.10 % (2815488)Instruction limit reached!
% 10.12/2.10 % (2815488)------------------------------
% 10.12/2.10 % (2815488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.10 % (2815488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.10 % (2815488)CaDiCaL version: 2.1.3
% 10.12/2.10 % (2815488)Termination reason: Instruction limit
% 10.12/2.10 % (2815488)Termination phase: Saturation
% 10.12/2.10 % (2815488)Time elapsed: 0.097 s
% 10.12/2.10 % (2815488)Peak memory usage: 93 MB
% 10.12/2.10 % (2815488)Instructions burned: 190 (million)
% 10.12/2.10 % (2815490)Instruction limit reached!
% 10.12/2.10 % (2815490)------------------------------
% 10.12/2.10 % (2815490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.10 % (2815490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.10 % (2815490)CaDiCaL version: 2.1.3
% 10.12/2.10 % (2815490)Termination reason: Instruction limit
% 10.12/2.10 % (2815490)Termination phase: Saturation
% 10.12/2.10 % (2815490)Time elapsed: 0.079 s
% 10.12/2.10 % (2815490)Peak memory usage: 89 MB
% 10.12/2.10 % (2815490)Instructions burned: 127 (million)
% 10.12/2.10 % (2815489)Instruction limit reached!
% 10.12/2.10 % (2815489)------------------------------
% 10.12/2.10 % (2815489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.10 % (2815489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.10 % (2815489)CaDiCaL version: 2.1.3
% 10.12/2.10 % (2815489)Termination reason: Instruction limit
% 10.12/2.10 % (2815489)Termination phase: Saturation
% 10.12/2.10 % (2815489)Time elapsed: 0.131 s
% 10.12/2.10 % (2815489)Peak memory usage: 89 MB
% 10.12/2.10 % (2815489)Instructions burned: 220 (million)
% 10.12/2.10 % (2815492)Instruction limit reached!
% 10.12/2.10 % (2815492)------------------------------
% 10.12/2.10 % (2815492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.10 % (2815492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.10 % (2815492)CaDiCaL version: 2.1.3
% 10.12/2.10 % (2815492)Termination reason: Instruction limit
% 10.12/2.10 % (2815492)Termination phase: Saturation
% 10.12/2.10 % (2815492)Time elapsed: 0.066 s
% 10.12/2.10 % (2815492)Peak memory usage: 89 MB
% 10.12/2.10 % (2815492)Instructions burned: 195 (million)
% 10.12/2.10 % (2815497)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1761257144:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 10.12/2.10 % (2815500)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2858494265:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 10.12/2.10 % (2815498)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1878396070:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 10.12/2.10 % (2815499)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=4288258374:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 10.12/2.10 % (2815500)Instruction limit reached!
% 10.12/2.10 % (2815500)------------------------------
% 10.12/2.10 % (2815500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.10 % (2815500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.10 % (2815500)CaDiCaL version: 2.1.3
% 10.12/2.10 % (2815500)Termination reason: Instruction limit
% 10.12/2.10 % (2815500)Termination phase: Saturation
% 10.12/2.10 % (2815500)Time elapsed: 0.037 s
% 10.12/2.10 % (2815500)Peak memory usage: 88 MB
% 10.12/2.10 % (2815500)Instructions burned: 108 (million)
% 10.12/2.10 % (2815499)Instruction limit reached!
% 10.12/2.10 % (2815499)------------------------------
% 10.12/2.10 % (2815499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.10 % (2815499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.10 % (2815499)CaDiCaL version: 2.1.3
% 10.12/2.10 % (2815499)Termination reason: Instruction limit
% 10.12/2.10 % (2815499)Termination phase: Saturation
% 10.12/2.10 % (2815499)Time elapsed: 0.054 s
% 10.12/2.10 % (2815499)Peak memory usage: 89 MB
% 10.12/2.10 % (2815499)Instructions burned: 108 (million)
% 10.12/2.10 % (2815497)Instruction limit reached!
% 10.12/2.10 % (2815497)------------------------------
% 10.12/2.10 % (2815497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.10 % (2815497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.10 % (2815497)CaDiCaL version: 2.1.3
% 10.12/2.10 % (2815497)Termination reason: Instruction limit
% 10.12/2.10 % (2815497)Termination phase: Saturation
% 10.12/2.10 % (2815497)Time elapsed: 0.108 s
% 10.12/2.10 % (2815497)Peak memory usage: 90 MB
% 10.12/2.10 % (2815497)Instructions burned: 157 (million)
% 10.12/2.10 % (2815505)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=475191320:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 10.12/2.10 % (2815506)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1354512829:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 10.12/2.10 % (2815505)Instruction limit reached!
% 10.12/2.10 % (2815505)------------------------------
% 10.12/2.10 % (2815505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.10 % (2815505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.10 % (2815505)CaDiCaL version: 2.1.3
% 10.12/2.10 % (2815505)Termination reason: Instruction limit
% 10.12/2.10 % (2815505)Termination phase: Saturation
% 10.12/2.10 % (2815505)Time elapsed: 0.082 s
% 10.12/2.10 % (2815505)Peak memory usage: 89 MB
% 10.12/2.10 % (2815505)Instructions burned: 243 (million)
% 10.12/2.10 % (2815507)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3199686761:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 10.12/2.10 % (2815507)Instruction limit reached!
% 10.12/2.10 % (2815507)------------------------------
% 10.12/2.10 % (2815507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.10 % (2815507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.10 % (2815507)CaDiCaL version: 2.1.3
% 10.12/2.10 % (2815507)Termination reason: Instruction limit
% 10.12/2.10 % (2815507)Termination phase: Saturation
% 10.12/2.10 % (2815507)Time elapsed: 0.083 s
% 10.12/2.10 % (2815507)Peak memory usage: 89 MB
% 10.12/2.10 % (2815507)Instructions burned: 134 (million)
% 10.12/2.10 % (2815510)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=743606234:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 10.12/2.10 % (2815512)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1525557728:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 10.12/2.10 % (2815510)Instruction limit reached!
% 10.12/2.10 % (2815510)------------------------------
% 10.12/2.10 % (2815510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.10 % (2815510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.10 % (2815510)CaDiCaL version: 2.1.3
% 10.12/2.10 % (2815510)Termination reason: Instruction limit
% 10.12/2.10 % (2815510)Termination phase: Saturation
% 10.12/2.10 % (2815510)Time elapsed: 0.140 s
% 10.12/2.10 % (2815510)Peak memory usage: 105 MB
% 10.12/2.10 % (2815510)Instructions burned: 500 (million)
% 10.12/2.10 % (2815473)First to succeed.
% 10.12/2.10 % (2815473)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2815468"
% 10.12/2.10 % (2815512)Instruction limit reached!
% 10.12/2.10 % (2815512)------------------------------
% 10.12/2.10 % (2815512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.10 % (2815512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.10 % (2815512)CaDiCaL version: 2.1.3
% 10.12/2.10 % (2815512)Termination reason: Instruction limit
% 10.12/2.10 % (2815512)Termination phase: Saturation
% 10.12/2.10 % (2815512)Time elapsed: 0.113 s
% 10.12/2.10 % (2815512)Peak memory usage: 92 MB
% 10.12/2.10 % (2815512)Instructions burned: 192 (million)
% 10.12/2.10 % (2815515)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3028926196:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 10.73/2.29 % (2815473)Refutation found. Thanks to Tanya!
% 10.73/2.29 % SZS status Unsatisfiable for theBenchmark
% 10.73/2.29 % SZS output start Proof for theBenchmark
% See solution above
% 10.73/2.29 % (2815473)------------------------------
% 10.73/2.29 % (2815473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.29 % (2815473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.29 % (2815473)CaDiCaL version: 2.1.3
% 10.73/2.29 % (2815473)Termination reason: Refutation
% 10.73/2.29 % (2815473)Time elapsed: 1.014 s
% 10.73/2.29 % (2815473)Peak memory usage: 133 MB
% 10.73/2.29 % (2815473)Instructions burned: 1479 (million)
% 10.73/2.29 % (2815473)------------------------------
% 10.73/2.29 % (2815473)------------------------------
% 10.73/2.29 % (2815468)Success in time 1.447 s
% 10.73/2.29 % Vampire exiting
%------------------------------------------------------------------------------