%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET658+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:41:34 PM UTC 2026
% Result : Theorem 0.17s 1.14s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 42 ( 20 ~; 14 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 18 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( subset(domain_of(X1),X0)
=> ilf_type(X1,relation_type(X0,range_of(X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> subset(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).
fof(f28,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28) ).
fof(f29,conjecture,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(X0,relation_type(domain_of(X0),range_of(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_20) ).
fof(f30,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(X0,relation_type(domain_of(X0),range_of(X0))) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ilf_type(X1,relation_type(X0,range_of(X1)))
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ilf_type(X1,relation_type(X0,range_of(X1)))
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f31]) ).
fof(f46,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f15]) ).
fof(f64,plain,
? [X0] :
( ~ ilf_type(X0,relation_type(domain_of(X0),range_of(X0)))
& ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f30]) ).
fof(f91,plain,
( ~ ilf_type(sK12,relation_type(domain_of(sK12),range_of(sK12)))
& ilf_type(sK12,binary_relation_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X0,sK12)],[f64]) ).
fof(f92,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,range_of(X1)))
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f32]) ).
fof(f117,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f46]) ).
fof(f142,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f28]) ).
fof(f143,plain,
ilf_type(sK12,binary_relation_type),
inference(cnf_transformation,[],[f91]) ).
fof(f144,plain,
~ ilf_type(sK12,relation_type(domain_of(sK12),range_of(sK12))),
inference(cnf_transformation,[],[f91]) ).
fof(f146,plain,
! [X0] : subset(X0,X0),
inference(forward_subsumption_resolution,[],[f117,f142]) ).
fof(f178,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,range_of(X1)))
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f92,f142]) ).
fof(f179,plain,
( ~ subset(domain_of(sK12),domain_of(sK12))
| ~ ilf_type(sK12,binary_relation_type) ),
inference(resolution,[],[f178,f144]) ).
fof(f180,plain,
~ ilf_type(sK12,binary_relation_type),
inference(forward_subsumption_resolution,[],[f179,f146]) ).
fof(f181,plain,
$false,
inference(forward_subsumption_resolution,[],[f180,f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET658+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n001.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 02:34:32 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 0.17/1.14 % (4159421)Detected formulas, will run a generic FOF schedule.
% 0.17/1.14 % (4159429)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3478499679:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.17/1.14 % (4159431)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3222086580:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.17/1.14 % (4159427)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1998075648:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.17/1.14 % (4159428)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=248040193:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.17/1.14 % (4159430)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3829891182:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.17/1.14 % (4159426)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=3887034939:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.17/1.14 % (4159432)dis-21_1_sil=8000:lcm=predicate:random_seed=771477125:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.17/1.14 % (4159429)Refutation not found, incomplete strategy
% 0.17/1.14 % (4159429)------------------------------
% 0.17/1.14 % (4159429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.14 % (4159429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.14 % (4159429)CaDiCaL version: 2.1.3
% 0.17/1.14 % (4159429)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.14 % (4159429)Time elapsed: 0.001 s
% 0.17/1.14 % (4159429)Peak memory usage: 87 MB
% 0.17/1.14 % (4159430)Refutation not found, incomplete strategy
% 0.17/1.14 % (4159430)------------------------------
% 0.17/1.14 % (4159430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.14 % (4159430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.14 % (4159430)CaDiCaL version: 2.1.3
% 0.17/1.14 % (4159430)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.14 % (4159430)Time elapsed: 0.001 s
% 0.17/1.14 % (4159430)Peak memory usage: 87 MB
% 0.17/1.14 % (4159431)First to succeed.
% 0.17/1.14 % (4159431)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4159421"
% 0.17/1.14 % (4159432)Also succeeded, but the first one will report.
% 0.17/1.14 % (4159431)Refutation found. Thanks to Tanya!
% 0.17/1.14 % SZS status Theorem for theBenchmark
% 0.17/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.14 % (4159431)------------------------------
% 0.17/1.14 % (4159431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.14 % (4159431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.14 % (4159431)CaDiCaL version: 2.1.3
% 0.17/1.14 % (4159431)Termination reason: Refutation
% 0.17/1.14 % (4159431)Time elapsed: 0.004 s
% 0.17/1.14 % (4159431)Peak memory usage: 88 MB
% 0.17/1.14 % (4159431)Instructions burned: 4 (million)
% 0.17/1.14 % (4159431)------------------------------
% 0.17/1.14 % (4159431)------------------------------
% 0.17/1.14 % (4159421)Success in time 0.419 s
% 0.17/1.14 % Vampire exiting
%------------------------------------------------------------------------------