%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU198+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:47:41 PM UTC 2026
% Result : Theorem 3.76s 1.52s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 74 ( 28 ~; 24 |; 14 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 40 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f22,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<=> ( in(X0,X1)
& in(X0,relation_rng(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t115_relat_1) ).
fof(f23,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t116_relat_1) ).
fof(f24,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),X0) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f36,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<=> ( in(X0,X1)
& in(X0,relation_rng(X2)) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f43,plain,
? [X0,X1] :
( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),X0)
& relation(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f53,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f54,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f53]) ).
fof(f55,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK0(X0,X1),X1)
& in(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f54]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| ~ in(X0,X1)
| ~ in(X0,relation_rng(X2)) )
& ( ( in(X0,X1)
& in(X0,relation_rng(X2)) )
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) ) )
| ~ relation(X2) ),
inference(nnf_transformation,[],[f42]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| ~ in(X0,X1)
| ~ in(X0,relation_rng(X2)) )
& ( ( in(X0,X1)
& in(X0,relation_rng(X2)) )
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) ) )
| ~ relation(X2) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
( ~ subset(relation_rng(relation_rng_restriction(sK8,sK9)),sK8)
& relation(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X0,sK8),skolemize(X1,sK9)],[f43]) ).
fof(f70,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f71,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| in(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f95,plain,
relation(sK9),
inference(cnf_transformation,[],[f65]) ).
fof(f96,plain,
~ subset(relation_rng(relation_rng_restriction(sK8,sK9)),sK8),
inference(cnf_transformation,[],[f65]) ).
fof(f139,plain,
in(sK0(relation_rng(relation_rng_restriction(sK8,sK9)),sK8),relation_rng(relation_rng_restriction(sK8,sK9))),
inference(resolution,[],[f70,f96]) ).
fof(f144,plain,
~ in(sK0(relation_rng(relation_rng_restriction(sK8,sK9)),sK8),sK8),
inference(resolution,[],[f71,f96]) ).
fof(f168,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(relation_rng_restriction(X1,sK9)))
| in(X0,X1) ),
inference(resolution,[],[f93,f95]) ).
fof(f169,plain,
in(sK0(relation_rng(relation_rng_restriction(sK8,sK9)),sK8),sK8),
inference(resolution,[],[f168,f139]) ).
fof(f177,plain,
$false,
inference(resolution,[],[f169,f144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU198+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n001.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 04:05:34 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.43 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
% 3.76/1.52 % (5317)Detected formulas, will run a generic FOF schedule.
% 3.76/1.52 % (5322)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=2834161064:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.76/1.52 % (5323)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=260549007:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.76/1.52 % (5327)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2879956703:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.76/1.52 % (5326)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=9491858:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.76/1.52 % (5325)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3793039982:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.76/1.52 % (5324)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=2088698587:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.76/1.52 % (5328)dis-21_1_sil=8000:lcm=predicate:random_seed=2626421722: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)
% 3.76/1.52 % (5325)Refutation not found, incomplete strategy
% 3.76/1.52 % (5325)------------------------------
% 3.76/1.52 % (5325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.52 % (5325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.52 % (5325)CaDiCaL version: 2.1.3
% 3.76/1.52 % (5325)Termination reason: Refutation not found, incomplete strategy
% 3.76/1.52 % (5325)Time elapsed: 0.002 s
% 3.76/1.52 % (5325)Peak memory usage: 88 MB
% 3.76/1.52 % (5325)Instructions burned: 1 (million)
% 3.76/1.52 % (5328)First to succeed.
% 3.76/1.52 % (5328)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5317"
% 3.76/1.52 % (5327)Also succeeded, but the first one will report.
% 3.76/1.52 % (5326)Also succeeded, but the first one will report.
% 3.76/1.52 % (5325)------------------------------
% 3.76/1.52 % (5325)------------------------------
% 3.76/1.52 % (5328)Refutation found. Thanks to Tanya!
% 3.76/1.52 % SZS status Theorem for theBenchmark
% 3.76/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 3.76/1.52 % (5328)------------------------------
% 3.76/1.52 % (5328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.52 % (5328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.52 % (5328)CaDiCaL version: 2.1.3
% 3.76/1.52 % (5328)Termination reason: Refutation
% 3.76/1.52 % (5328)Time elapsed: 0.003 s
% 3.76/1.52 % (5328)Peak memory usage: 88 MB
% 3.76/1.52 % (5328)Instructions burned: 3 (million)
% 3.76/1.52 % (5328)------------------------------
% 3.76/1.52 % (5328)------------------------------
% 3.76/1.52 % (5317)Success in time 0.441 s
% 3.76/1.52 % Vampire exiting
%------------------------------------------------------------------------------