%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET202-6 : 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 : 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 12:40:30 PM UTC 2026
% Result : Unsatisfiable 8.07s 11.92s
% Output : Refutation 8.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 14 unt; 0 def)
% Number of atoms : 46 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f122,negated_conjecture,
~ subclass(cross_product(x,y),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property1_1) ).
fof(f127,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f136,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X0,X2) ),
inference(definition_unfolding,[],[f14,f127]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X1,X3) ),
inference(definition_unfolding,[],[f15,f127]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f16,f127]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(definition_unfolding,[],[f17,f127]) ).
fof(f189,plain,
member(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),cross_product(x,y)),
inference(unit_resulting_resolution,[],[f2,f122]) ).
fof(f190,plain,
~ member(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),cross_product(universal_class,universal_class)),
inference(unit_resulting_resolution,[],[f3,f122]) ).
fof(f192,plain,
not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)))),unordered_pair(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),unordered_pair(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)))))),
inference(unit_resulting_resolution,[],[f139,f189]) ).
fof(f193,plain,
! [X0,X1] :
( member(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),cross_product(X0,X1))
| ~ member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),X1)
| ~ member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),X0) ),
inference(superposition,[],[f138,f192]) ).
fof(f194,plain,
! [X0,X1] :
( ~ member(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),cross_product(X0,X1))
| member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),X1) ),
inference(superposition,[],[f137,f192]) ).
fof(f195,plain,
! [X0,X1] :
( ~ member(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class)),cross_product(X0,X1))
| member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),X0) ),
inference(superposition,[],[f136,f192]) ).
fof(f196,plain,
member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),y),
inference(unit_resulting_resolution,[],[f194,f189]) ).
fof(f201,plain,
member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),x),
inference(unit_resulting_resolution,[],[f195,f189]) ).
fof(f214,plain,
member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),universal_class),
inference(unit_resulting_resolution,[],[f1,f196,f4]) ).
fof(f215,plain,
member(first(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),universal_class),
inference(unit_resulting_resolution,[],[f1,f201,f4]) ).
fof(f217,plain,
~ member(second(not_subclass_element(cross_product(x,y),cross_product(universal_class,universal_class))),universal_class),
inference(unit_resulting_resolution,[],[f193,f190,f215]) ).
fof(f227,plain,
$false,
inference(forward_subsumption_resolution,[],[f217,f214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET202-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/10.40 % Computer : n008.cluster.edu
% 0.11/10.40 % Model : x86_64 x86_64
% 0.11/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.40 % Memory : 8046.5625MB
% 0.11/10.40 % OS : Linux 6.8.0-71-generic
% 0.11/10.40 % CPULimit : 300
% 0.11/10.40 % WCLimit : 300
% 0.11/10.40 % DateTime : Mon Sep 28 01:06:52 UTC 2026
% 0.11/10.40 % CPUTime :
% 0.11/10.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/10.44 Running first-order theorem proving
% 0.11/10.44 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
% 6.63/11.73 % (1777783)Input is clausal, will run a generic CNF schedule.
% 6.63/11.73 % (1777794)dis-21_1_sil=8000:lcm=predicate:random_seed=2691225270: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)
% 6.63/11.73 % (1777794)Instruction limit reached!
% 6.63/11.73 % (1777794)------------------------------
% 6.63/11.73 % (1777794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/11.73 % (1777794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/11.73 % (1777794)CaDiCaL version: 2.1.3
% 6.63/11.73 % (1777794)Termination reason: Instruction limit
% 6.63/11.73 % (1777794)Termination phase: Saturation
% 6.63/11.73 % (1777794)Time elapsed: 0.039 s
% 6.63/11.73 % (1777794)Peak memory usage: 90 MB
% 6.63/11.73 % (1777794)Instructions burned: 120 (million)
% 6.63/11.73 % (1777793)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3991426890:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.63/11.73 % (1777789)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2461292066:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.63/11.73 % (1777790)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1872844013:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.63/11.73 % (1777792)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3694358876:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.63/11.73 % (1777788)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=537196860:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.63/11.73 % (1777791)lrs+10_1_sil=8000:sp=occurrence:random_seed=2258189018:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.63/11.73 % (1777791)Refutation not found, incomplete strategy
% 6.63/11.73 % (1777791)------------------------------
% 6.63/11.73 % (1777791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/11.73 % (1777791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/11.73 % (1777791)CaDiCaL version: 2.1.3
% 6.63/11.73 % (1777791)Termination reason: Refutation not found, incomplete strategy
% 6.63/11.73 % (1777791)Time elapsed: 0.001 s
% 6.63/11.73 % (1777791)Peak memory usage: 88 MB
% 6.63/11.73 % (1777792)Refutation not found, incomplete strategy
% 6.63/11.73 % (1777792)------------------------------
% 6.63/11.73 % (1777792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/11.73 % (1777792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/11.73 % (1777792)CaDiCaL version: 2.1.3
% 6.63/11.73 % (1777792)Termination reason: Refutation not found, incomplete strategy
% 6.63/11.73 % (1777792)Time elapsed: 0.003 s
% 6.63/11.73 % (1777792)Peak memory usage: 88 MB
% 6.63/11.73 % (1777792)Instructions burned: 2 (million)
% 6.63/11.73 % (1777802)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=1232885231:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.63/11.73 % (1777802)Refutation not found, incomplete strategy
% 6.63/11.73 % (1777802)------------------------------
% 6.63/11.73 % (1777802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/11.73 % (1777802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/11.73 % (1777802)CaDiCaL version: 2.1.3
% 6.63/11.73 % (1777802)Termination reason: Refutation not found, incomplete strategy
% 6.63/11.73 % (1777802)Time elapsed: 0.001 s
% 6.63/11.73 % (1777802)Peak memory usage: 88 MB
% 6.63/11.73 % (1777793)Instruction limit reached!
% 6.63/11.73 % (1777793)------------------------------
% 6.63/11.73 % (1777793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/11.73 % (1777793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/11.73 % (1777793)CaDiCaL version: 2.1.3
% 6.63/11.73 % (1777793)Termination reason: Instruction limit
% 6.63/11.73 % (1777793)Termination phase: Saturation
% 6.63/11.73 % (1777793)Time elapsed: 0.137 s
% 6.63/11.73 % (1777793)Peak memory usage: 90 MB
% 6.63/11.73 % (1777793)Instructions burned: 181 (million)
% 6.63/11.73 % (1777792)------------------------------
% 6.63/11.73 % (1777792)------------------------------
% 6.63/11.73 % (1777791)------------------------------
% 6.63/11.73 % (1777791)------------------------------
% 6.63/11.73 % (1777802)------------------------------
% 6.63/11.73 % (1777802)------------------------------
% 6.63/11.73 % (1777804)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2862576231:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 6.63/11.73 % (1777804)Refutation not found, incomplete strategy
% 6.63/11.73 % (1777804)------------------------------
% 6.63/11.73 % (1777804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/11.73 % (1777804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/11.73 % (1777804)CaDiCaL version: 2.1.3
% 6.63/11.73 % (1777804)Termination reason: Refutation not found, incomplete strategy
% 6.63/11.73 % (1777804)Time elapsed: 0.011 s
% 6.63/11.73 % (1777804)Peak memory usage: 88 MB
% 6.63/11.73 % (1777804)Instructions burned: 20 (million)
% 6.63/11.73 % (1777807)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3179764762:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.63/11.73 % (1777806)lrs+10_64_to=lpo:sil=8000:random_seed=1467655388:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.63/11.73 % (1777805)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1541492940:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 6.63/11.73 % (1777805)Refutation not found, incomplete strategy
% 6.63/11.73 % (1777805)------------------------------
% 6.63/11.73 % (1777805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/11.73 % (1777805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/11.73 % (1777805)CaDiCaL version: 2.1.3
% 6.63/11.73 % (1777805)Termination reason: Refutation not found, incomplete strategy
% 6.63/11.73 % (1777805)Time elapsed: 0.003 s
% 6.63/11.73 % (1777805)Peak memory usage: 88 MB
% 6.63/11.73 % (1777805)Instructions burned: 4 (million)
% 6.63/11.73 % (1777807)Instruction limit reached!
% 6.63/11.73 % (1777807)------------------------------
% 6.63/11.73 % (1777807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/11.73 % (1777807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/11.73 % (1777807)CaDiCaL version: 2.1.3
% 6.63/11.73 % (1777807)Termination reason: Instruction limit
% 6.63/11.73 % (1777807)Termination phase: Saturation
% 6.63/11.73 % (1777807)Time elapsed: 0.062 s
% 6.63/11.73 % (1777807)Peak memory usage: 90 MB
% 6.63/11.73 % (1777807)Instructions burned: 195 (million)
% 6.63/11.73 % (1777806)Instruction limit reached!
% 6.63/11.73 % (1777806)------------------------------
% 6.63/11.73 % (1777806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/11.73 % (1777806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/11.73 % (1777806)CaDiCaL version: 2.1.3
% 6.63/11.73 % (1777806)Termination reason: Instruction limit
% 6.63/11.73 % (1777806)Termination phase: Saturation
% 6.63/11.73 % (1777806)Time elapsed: 0.077 s
% 6.63/11.73 % (1777806)Peak memory usage: 89 MB
% 6.63/11.73 % (1777806)Instructions burned: 126 (million)
% 6.63/11.73 % (1777804)------------------------------
% 6.63/11.73 % (1777804)------------------------------
% 6.63/11.73 % (1777812)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1217561002:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 6.63/11.73 % (1777813)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4102014728:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.63/11.73 % (1777812)Instruction limit reached!
% 6.63/11.73 % (1777812)------------------------------
% 6.63/11.73 % (1777812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/11.73 % (1777812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/11.73 % (1777812)CaDiCaL version: 2.1.3
% 6.63/11.73 % (1777812)Termination reason: Instruction limit
% 6.63/11.73 % (1777812)Termination phase: Saturation
% 6.63/11.73 % (1777812)Time elapsed: 0.058 s
% 6.63/11.73 % (1777812)Peak memory usage: 91 MB
% 6.63/11.73 % (1777812)Instructions burned: 160 (million)
% 6.63/11.73 % (1777805)------------------------------
% 6.63/11.73 % (1777805)------------------------------
% 6.63/11.73 % (1777789)First to succeed.
% 6.63/11.73 % (1777789)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1777783"
% 6.63/11.73 % (1777788)Also succeeded, but the first one will report.
% 6.63/11.73 % (1777790)Also succeeded, but the first one will report.
% 6.63/11.73 % (1777814)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=2362945502:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 8.07/11.92 % (1777814)Refutation not found, incomplete strategy
% 8.07/11.92 % (1777814)------------------------------
% 8.07/11.92 % (1777814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/11.92 % (1777814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/11.92 % (1777814)CaDiCaL version: 2.1.3
% 8.07/11.92 % (1777814)Termination reason: Refutation not found, incomplete strategy
% 8.07/11.92 % (1777814)Time elapsed: 0.002 s
% 8.07/11.92 % (1777814)Peak memory usage: 88 MB
% 8.07/11.92 % (1777814)Instructions burned: 1 (million)
% 8.07/11.92 % (1777817)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2679394850:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 8.07/11.92 % (1777817)Instruction limit reached!
% 8.07/11.92 % (1777817)------------------------------
% 8.07/11.92 % (1777817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/11.92 % (1777817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/11.92 % (1777817)CaDiCaL version: 2.1.3
% 8.07/11.92 % (1777817)Termination reason: Instruction limit
% 8.07/11.92 % (1777817)Termination phase: Saturation
% 8.07/11.92 % (1777817)Time elapsed: 0.039 s
% 8.07/11.92 % (1777817)Peak memory usage: 89 MB
% 8.07/11.92 % (1777817)Instructions burned: 108 (million)
% 8.07/11.92 % (1777818)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1833454000:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.07/11.92 % (1777789)Refutation found. Thanks to Tanya!
% 8.07/11.92 % SZS status Unsatisfiable for theBenchmark
% 8.07/11.92 % SZS output start Proof for theBenchmark
% See solution above
% 8.07/11.92 % (1777789)------------------------------
% 8.07/11.92 % (1777789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/11.92 % (1777789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/11.92 % (1777789)CaDiCaL version: 2.1.3
% 8.07/11.92 % (1777789)Termination reason: Refutation
% 8.07/11.92 % (1777789)Time elapsed: 0.653 s
% 8.07/11.92 % (1777789)Peak memory usage: 128 MB
% 8.07/11.92 % (1777789)Instructions burned: 975 (million)
% 8.07/11.92 % (1777789)------------------------------
% 8.07/11.92 % (1777789)------------------------------
% 8.07/11.92 % (1777783)Success in time 1.094 s
% 8.07/11.92 % Vampire exiting
%------------------------------------------------------------------------------