%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET036-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:39:43 PM UTC 2026
% Result : Unsatisfiable 7.29s 2.01s
% Output : Refutation 7.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of formulae : 67 ( 16 unt; 1 def)
% Number of atoms : 153 ( 38 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 167 ( 81 ~; 86 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( little_set(X0)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ member(X0,non_ordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',non_ordered_pair1) ).
fof(f9,axiom,
! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f15,axiom,
! [X2,X0,X1] :
( ordered_pair_predicate(X0)
| ~ little_set(X1)
| ~ little_set(X2)
| X0 != ordered_pair(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_predicate4) ).
fof(f16,plain,
! [X2,X0,X1] :
( ordered_pair_predicate(X0)
| ~ little_set(X1)
| ~ little_set(X2)
| ordered_pair(X1,X2) != X0 ),
inference(reorient_equations,[],[f15]) ).
fof(f70,axiom,
! [X0] : ~ member(X0,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set) ).
fof(f79,axiom,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset1) ).
fof(f105,axiom,
! [X2,X3,X0,X1] :
( member(X0,image(X1,X2))
| ~ little_set(X0)
| ~ ordered_pair_predicate(X3)
| ~ member(X3,X2)
| ~ member(first(X3),X1)
| second(X3) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',image_and_substitution5) ).
fof(f107,axiom,
! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| ~ member(X2,X0)
| ~ member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjoint1) ).
fof(f110,axiom,
! [X0] :
( X0 = empty_set
| member(f24(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f111,plain,
! [X0] :
( member(f24(X0),X0)
| empty_set = X0 ),
inference(reorient_equations,[],[f110]) ).
fof(f112,axiom,
! [X0] :
( X0 = empty_set
| disjoint(f24(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f113,plain,
! [X0] :
( disjoint(f24(X0),X0)
| empty_set = X0 ),
inference(reorient_equations,[],[f112]) ).
fof(f133,negated_conjecture,
! [X2,X0,X1] :
( ~ member(X0,apply(X1,X2))
| member(f28(X0,X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apply2) ).
fof(f135,negated_conjecture,
! [X2,X0,X1] :
( member(X0,second(f28(X0,X1,X2)))
| ~ member(X0,apply(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apply4) ).
fof(f167,axiom,
! [X0,X1] :
( first(ordered_pair(X0,X1)) = X0
| ~ little_set(X1)
| ~ little_set(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_first) ).
fof(f168,axiom,
! [X0,X1] :
( second(ordered_pair(X0,X1)) = X1
| ~ little_set(X1)
| ~ little_set(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_second) ).
fof(f169,axiom,
! [X0] :
( little_set(first(X0))
| ~ ordered_pair_predicate(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',first_component_is_small) ).
fof(f170,axiom,
! [X0] :
( little_set(second(X0))
| ~ ordered_pair_predicate(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',second_component_is_small) ).
fof(f171,axiom,
! [X0] :
( member(X0,singleton_set(X0))
| ~ little_set(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_singleton_sets) ).
fof(f172,axiom,
! [X0,X1] : little_set(ordered_pair(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pairs_are_small1) ).
fof(f176,axiom,
! [X0,X1] : subset(image(singleton_set(X0),X1),apply(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',image_and_apply2) ).
fof(f183,negated_conjecture,
little_set(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_little_set) ).
fof(f184,negated_conjecture,
little_set(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_little_set) ).
fof(f193,plain,
! [X2,X1] :
( ordered_pair_predicate(ordered_pair(X1,X2))
| ~ little_set(X1)
| ~ little_set(X2) ),
inference(equality_resolution,[],[f16]) ).
fof(f199,plain,
! [X2,X3,X1] :
( member(second(X3),image(X1,X2))
| ~ little_set(second(X3))
| ~ ordered_pair_predicate(X3)
| ~ member(X3,X2)
| ~ member(first(X3),X1) ),
inference(equality_resolution,[],[f105]) ).
fof(f203,definition,
sF0 = ordered_pair(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f204,plain,
ordered_pair(a,b) = sF0,
inference(reorient_equations,[],[f203]) ).
fof(f209,plain,
little_set(sF0),
inference(superposition,[],[f172,f204]) ).
fof(f218,plain,
( ordered_pair_predicate(sF0)
| ~ little_set(a)
| ~ little_set(b) ),
inference(superposition,[],[f193,f204]) ).
fof(f219,plain,
( ordered_pair_predicate(sF0)
| ~ little_set(b) ),
inference(forward_subsumption_resolution,[],[f218,f183]) ).
fof(f220,plain,
ordered_pair_predicate(sF0),
inference(forward_subsumption_resolution,[],[f219,f184]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ member(X0,image(singleton_set(X1),X2))
| member(X0,apply(X2,X1)) ),
inference(resolution,[],[f79,f176]) ).
fof(f251,plain,
( a = first(sF0)
| ~ little_set(b)
| ~ little_set(a) ),
inference(superposition,[],[f167,f204]) ).
fof(f255,plain,
( a = first(sF0)
| ~ little_set(a) ),
inference(forward_subsumption_resolution,[],[f251,f184]) ).
fof(f256,plain,
a = first(sF0),
inference(forward_subsumption_resolution,[],[f255,f183]) ).
fof(f259,plain,
( b = second(sF0)
| ~ little_set(b)
| ~ little_set(a) ),
inference(superposition,[],[f168,f204]) ).
fof(f263,plain,
( b = second(sF0)
| ~ little_set(a) ),
inference(forward_subsumption_resolution,[],[f259,f184]) ).
fof(f264,plain,
b = second(sF0),
inference(forward_subsumption_resolution,[],[f263,f183]) ).
fof(f465,plain,
! [X0,X1] :
( ~ member(X1,singleton_set(X0))
| X0 = X1
| X0 = X1 ),
inference(superposition,[],[f5,f9]) ).
fof(f468,plain,
! [X0,X1] :
( ~ member(X1,singleton_set(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f465]) ).
fof(f529,plain,
! [X0] :
( f24(singleton_set(X0)) = X0
| singleton_set(X0) = empty_set ),
inference(resolution,[],[f111,f468]) ).
fof(f616,plain,
! [X0,X1] :
( ~ member(X1,f24(X0))
| empty_set = X0
| ~ member(X1,X0) ),
inference(resolution,[],[f113,f107]) ).
fof(f798,plain,
! [X2,X0,X1] :
( ~ little_set(second(X0))
| ~ ordered_pair_predicate(X0)
| ~ member(X0,X1)
| ~ member(first(X0),singleton_set(X2))
| member(second(X0),apply(X1,X2)) ),
inference(resolution,[],[f199,f224]) ).
fof(f811,plain,
! [X2,X0,X1] :
( ~ member(first(X0),singleton_set(X2))
| ~ member(X0,X1)
| ~ ordered_pair_predicate(X0)
| member(second(X0),apply(X1,X2)) ),
inference(forward_subsumption_resolution,[],[f798,f170]) ).
fof(f817,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ ordered_pair_predicate(X0)
| member(second(X0),apply(X1,first(X0)))
| ~ little_set(first(X0)) ),
inference(resolution,[],[f811,f171]) ).
fof(f828,plain,
! [X0,X1] :
( member(second(X0),apply(X1,first(X0)))
| ~ ordered_pair_predicate(X0)
| ~ member(X0,X1) ),
inference(forward_subsumption_resolution,[],[f817,f169]) ).
fof(f840,plain,
! [X0] :
( member(second(sF0),apply(X0,a))
| ~ ordered_pair_predicate(sF0)
| ~ member(sF0,X0) ),
inference(superposition,[],[f828,f256]) ).
fof(f841,plain,
! [X0] :
( member(second(sF0),apply(X0,a))
| ~ member(sF0,X0) ),
inference(forward_subsumption_resolution,[],[f840,f220]) ).
fof(f851,plain,
! [X0] :
( member(b,apply(X0,a))
| ~ member(sF0,X0) ),
inference(forward_demodulation,[],[f841,f264]) ).
fof(f1105,plain,
! [X0] :
( member(f28(b,X0,a),X0)
| ~ member(sF0,X0) ),
inference(resolution,[],[f133,f851]) ).
fof(f1110,plain,
! [X0] :
( ~ member(sF0,singleton_set(X0))
| f28(b,singleton_set(X0),a) = X0 ),
inference(resolution,[],[f1105,f468]) ).
fof(f1338,plain,
( sF0 = f28(b,singleton_set(sF0),a)
| ~ little_set(sF0) ),
inference(resolution,[],[f1110,f171]) ).
fof(f1339,plain,
sF0 = f28(b,singleton_set(sF0),a),
inference(forward_subsumption_resolution,[],[f1338,f209]) ).
fof(f1444,plain,
! [X0,X1] :
( ~ member(X1,X0)
| singleton_set(X0) = empty_set
| ~ member(X1,singleton_set(X0))
| singleton_set(X0) = empty_set ),
inference(superposition,[],[f616,f529]) ).
fof(f1449,plain,
! [X0,X1] :
( ~ member(X1,singleton_set(X0))
| singleton_set(X0) = empty_set
| ~ member(X1,X0) ),
inference(duplicate_literal_removal,[],[f1444]) ).
fof(f1463,plain,
! [X0] :
( singleton_set(X0) = empty_set
| ~ member(X0,X0)
| ~ little_set(X0) ),
inference(resolution,[],[f1449,f171]) ).
fof(f1478,plain,
! [X0] :
( ~ member(X0,X0)
| singleton_set(X0) = empty_set ),
inference(forward_subsumption_resolution,[],[f1463,f1]) ).
fof(f1757,plain,
( member(b,second(sF0))
| ~ member(b,apply(singleton_set(sF0),a)) ),
inference(superposition,[],[f135,f1339]) ).
fof(f1758,plain,
( member(b,b)
| ~ member(b,apply(singleton_set(sF0),a)) ),
inference(forward_demodulation,[],[f1757,f264]) ).
fof(f2133,plain,
( ~ member(b,apply(singleton_set(sF0),a))
| empty_set = singleton_set(b) ),
inference(resolution,[],[f1758,f1478]) ).
fof(f2219,plain,
( ~ member(sF0,singleton_set(sF0))
| empty_set = singleton_set(b) ),
inference(resolution,[],[f2133,f851]) ).
fof(f2231,plain,
( empty_set = singleton_set(b)
| ~ little_set(sF0) ),
inference(resolution,[],[f2219,f171]) ).
fof(f2232,plain,
empty_set = singleton_set(b),
inference(forward_subsumption_resolution,[],[f2231,f209]) ).
fof(f2235,plain,
( member(b,empty_set)
| ~ little_set(b) ),
inference(superposition,[],[f171,f2232]) ).
fof(f2289,plain,
~ little_set(b),
inference(forward_subsumption_resolution,[],[f2235,f70]) ).
fof(f2291,plain,
$false,
inference(forward_subsumption_resolution,[],[f2289,f184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET036-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 00:22:01 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 5.99/1.82 % (2155002)Input is clausal, will run a generic CNF schedule.
% 5.99/1.82 % (2155013)dis-21_1_sil=8000:lcm=predicate:random_seed=2291685751: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)
% 5.99/1.82 % (2155013)Instruction limit reached!
% 5.99/1.82 % (2155013)------------------------------
% 5.99/1.82 % (2155013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (2155013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (2155013)CaDiCaL version: 2.1.3
% 5.99/1.82 % (2155013)Termination reason: Instruction limit
% 5.99/1.82 % (2155013)Termination phase: Saturation
% 5.99/1.82 % (2155013)Time elapsed: 0.040 s
% 5.99/1.82 % (2155013)Peak memory usage: 89 MB
% 5.99/1.82 % (2155013)Instructions burned: 118 (million)
% 5.99/1.82 % (2155010)lrs+10_1_sil=8000:sp=occurrence:random_seed=572034758:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.99/1.82 % (2155011)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2031208377:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.99/1.82 % (2155008)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3517927410:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.99/1.82 % (2155007)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=114823199:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.99/1.82 % (2155009)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1459977487:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.99/1.82 % (2155012)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3224169775:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.99/1.82 % (2155010)Instruction limit reached!
% 5.99/1.82 % (2155010)------------------------------
% 5.99/1.82 % (2155010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (2155010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (2155010)CaDiCaL version: 2.1.3
% 5.99/1.82 % (2155010)Termination reason: Instruction limit
% 5.99/1.82 % (2155010)Termination phase: Saturation
% 5.99/1.82 % (2155010)Time elapsed: 0.064 s
% 5.99/1.82 % (2155010)Peak memory usage: 89 MB
% 5.99/1.82 % (2155010)Instructions burned: 109 (million)
% 5.99/1.82 % (2155011)Instruction limit reached!
% 5.99/1.82 % (2155011)------------------------------
% 5.99/1.82 % (2155011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (2155011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (2155011)CaDiCaL version: 2.1.3
% 5.99/1.82 % (2155011)Termination reason: Instruction limit
% 5.99/1.82 % (2155011)Termination phase: Saturation
% 5.99/1.82 % (2155011)Time elapsed: 0.070 s
% 5.99/1.82 % (2155011)Peak memory usage: 88 MB
% 5.99/1.82 % (2155011)Instructions burned: 114 (million)
% 5.99/1.82 % (2155020)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=2344480471:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.99/1.82 % (2155020)Refutation not found, incomplete strategy
% 5.99/1.82 % (2155020)------------------------------
% 5.99/1.82 % (2155020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (2155020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (2155020)CaDiCaL version: 2.1.3
% 5.99/1.82 % (2155020)Termination reason: Refutation not found, incomplete strategy
% 5.99/1.82 % (2155020)Time elapsed: 0.002 s
% 5.99/1.82 % (2155020)Peak memory usage: 88 MB
% 5.99/1.82 % (2155020)Instructions burned: 5 (million)
% 5.99/1.82 % (2155012)Instruction limit reached!
% 5.99/1.82 % (2155012)------------------------------
% 5.99/1.82 % (2155012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (2155012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (2155012)CaDiCaL version: 2.1.3
% 5.99/1.82 % (2155012)Termination reason: Instruction limit
% 5.99/1.82 % (2155012)Termination phase: Saturation
% 5.99/1.82 % (2155012)Time elapsed: 0.128 s
% 5.99/1.82 % (2155012)Peak memory usage: 90 MB
% 5.99/1.82 % (2155012)Instructions burned: 180 (million)
% 5.99/1.82 % (2155022)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2581548786: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)
% 5.99/1.82 % (2155023)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2573096797:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.99/1.82 % (2155023)Refutation not found, incomplete strategy
% 5.99/1.82 % (2155023)------------------------------
% 5.99/1.82 % (2155023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (2155023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (2155023)CaDiCaL version: 2.1.3
% 5.99/1.82 % (2155023)Termination reason: Refutation not found, incomplete strategy
% 5.99/1.82 % (2155023)Time elapsed: 0.004 s
% 5.99/1.82 % (2155023)Peak memory usage: 88 MB
% 5.99/1.82 % (2155023)Instructions burned: 4 (million)
% 5.99/1.82 % (2155020)------------------------------
% 5.99/1.82 % (2155020)------------------------------
% 5.99/1.82 % (2155025)lrs+10_64_to=lpo:sil=8000:random_seed=220144287:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.99/1.82 % (2155022)Instruction limit reached!
% 5.99/1.82 % (2155022)------------------------------
% 5.99/1.82 % (2155022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (2155022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (2155022)CaDiCaL version: 2.1.3
% 5.99/1.82 % (2155022)Termination reason: Instruction limit
% 5.99/1.82 % (2155022)Termination phase: Saturation
% 5.99/1.82 % (2155022)Time elapsed: 0.098 s
% 5.99/1.82 % (2155022)Peak memory usage: 89 MB
% 5.99/1.82 % (2155022)Instructions burned: 189 (million)
% 5.99/1.82 % (2155028)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3291187607:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 5.99/1.82 % (2155025)Instruction limit reached!
% 5.99/1.82 % (2155025)------------------------------
% 5.99/1.82 % (2155025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (2155025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (2155025)CaDiCaL version: 2.1.3
% 5.99/1.82 % (2155025)Termination reason: Instruction limit
% 5.99/1.82 % (2155025)Termination phase: Saturation
% 5.99/1.82 % (2155025)Time elapsed: 0.076 s
% 5.99/1.82 % (2155025)Peak memory usage: 91 MB
% 5.99/1.82 % (2155025)Instructions burned: 127 (million)
% 5.99/1.82 % (2155028)Instruction limit reached!
% 5.99/1.82 % (2155028)------------------------------
% 5.99/1.82 % (2155028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (2155028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (2155028)CaDiCaL version: 2.1.3
% 5.99/1.82 % (2155028)Termination reason: Instruction limit
% 5.99/1.82 % (2155028)Termination phase: Saturation
% 5.99/1.82 % (2155028)Time elapsed: 0.073 s
% 5.99/1.82 % (2155028)Peak memory usage: 90 MB
% 5.99/1.82 % (2155028)Instructions burned: 194 (million)
% 5.99/1.82 % (2155030)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4233494709:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.99/1.82 % (2155023)------------------------------
% 5.99/1.82 % (2155023)------------------------------
% 5.99/1.82 % (2155032)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1884299049:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 5.99/1.82 % (2155033)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=1857096047:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 5.99/1.82 % (2155033)Instruction limit reached!
% 5.99/1.82 % (2155033)------------------------------
% 5.99/1.82 % (2155033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.82 % (2155033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.82 % (2155033)CaDiCaL version: 2.1.3
% 5.99/1.82 % (2155033)Termination reason: Instruction limit
% 5.99/1.82 % (2155033)Termination phase: Saturation
% 5.99/1.82 % (2155033)Time elapsed: 0.025 s
% 5.99/1.82 % (2155033)Peak memory usage: 88 MB
% 5.99/1.82 % (2155033)Instructions burned: 107 (million)
% 5.99/1.82 % (2155030)Instruction limit reached!
% 5.99/1.82 % (2155030)------------------------------
% 5.99/1.82 % (2155030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.01 % (2155030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.01 % (2155030)CaDiCaL version: 2.1.3
% 7.29/2.01 % (2155030)Termination reason: Instruction limit
% 7.29/2.01 % (2155030)Termination phase: Saturation
% 7.29/2.01 % (2155030)Time elapsed: 0.099 s
% 7.29/2.01 % (2155030)Peak memory usage: 91 MB
% 7.29/2.01 % (2155030)Instructions burned: 157 (million)
% 7.29/2.01 % (2155035)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1196605252:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.29/2.01 % (2155038)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1170546430:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 7.29/2.01 % (2155038)First to succeed.
% 7.29/2.01 % (2155038)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2155002"
% 7.29/2.01 % (2155039)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3810475615:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 7.29/2.01 % (2155035)Instruction limit reached!
% 7.29/2.01 % (2155035)------------------------------
% 7.29/2.01 % (2155035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.01 % (2155035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.01 % (2155035)CaDiCaL version: 2.1.3
% 7.29/2.01 % (2155035)Termination reason: Instruction limit
% 7.29/2.01 % (2155035)Termination phase: Saturation
% 7.29/2.01 % (2155035)Time elapsed: 0.078 s
% 7.29/2.01 % (2155035)Peak memory usage: 90 MB
% 7.29/2.01 % (2155035)Instructions burned: 108 (million)
% 7.29/2.01 % (2155038)Refutation found. Thanks to Tanya!
% 7.29/2.01 % SZS status Unsatisfiable for theBenchmark
% 7.29/2.01 % SZS output start Proof for theBenchmark
% See solution above
% 7.29/2.01 % (2155038)------------------------------
% 7.29/2.01 % (2155038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.01 % (2155038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.01 % (2155038)CaDiCaL version: 2.1.3
% 7.29/2.01 % (2155038)Termination reason: Refutation
% 7.29/2.01 % (2155038)Time elapsed: 0.044 s
% 7.29/2.01 % (2155038)Peak memory usage: 89 MB
% 7.29/2.01 % (2155038)Instructions burned: 116 (million)
% 7.29/2.01 % (2155038)------------------------------
% 7.29/2.01 % (2155038)------------------------------
% 7.29/2.01 % (2155002)Success in time 0.958 s
% 7.29/2.01 % Vampire exiting
%------------------------------------------------------------------------------