%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU247+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:47:59 PM UTC 2026
% Result : Theorem 3.65s 1.41s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 7 unt; 1 def)
% Number of atoms : 31 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 6 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 21 ( 19 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1,X2] :
( relation(X2)
=> relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t140_relat_1) ).
fof(f10,axiom,
! [X0,X1] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_wellord1) ).
fof(f11,conjecture,
! [X0,X1] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_wellord1) ).
fof(f12,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f13,plain,
? [X0,X1] :
( relation_restriction(X1,X0) != relation_rng_restriction(X0,relation_dom_restriction(X1,X0))
& relation(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f16,plain,
! [X0,X1,X2] :
( relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1))
| ~ relation(X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f19,plain,
( relation_restriction(sK1,sK0) != relation_rng_restriction(sK0,relation_dom_restriction(sK1,sK0))
& relation(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f13]) ).
fof(f20,plain,
relation(sK1),
inference(cnf_transformation,[],[f19]) ).
fof(f21,plain,
relation_restriction(sK1,sK0) != relation_rng_restriction(sK0,relation_dom_restriction(sK1,sK0)),
inference(cnf_transformation,[],[f19]) ).
fof(f22,plain,
! [X0,X1] :
( relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f24,plain,
! [X2,X0,X1] :
( relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f27,definition,
~ sP2(relation_restriction(sK1,sK0)),
introduced(definition,[new_symbols(definition,[sP2])],[inequality_splitting_name_introduction]) ).
fof(f28,plain,
sP2(relation_rng_restriction(sK0,relation_dom_restriction(sK1,sK0))),
inference(inequality_splitting,[],[f21,f27]) ).
fof(f29,plain,
( ~ sP2(relation_dom_restriction(relation_rng_restriction(sK0,sK1),sK0))
| ~ relation(sK1) ),
inference(superposition,[],[f27,f22]) ).
fof(f30,plain,
~ sP2(relation_dom_restriction(relation_rng_restriction(sK0,sK1),sK0)),
inference(forward_subsumption_resolution,[],[f29,f20]) ).
fof(f31,plain,
( sP2(relation_dom_restriction(relation_rng_restriction(sK0,sK1),sK0))
| ~ relation(sK1) ),
inference(superposition,[],[f28,f24]) ).
fof(f32,plain,
~ relation(sK1),
inference(forward_subsumption_resolution,[],[f31,f30]) ).
fof(f33,plain,
$false,
inference(forward_subsumption_resolution,[],[f32,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU247+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n005.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 04:18:32 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 3.65/1.41 % (428429)Detected formulas, will run a generic FOF schedule.
% 3.65/1.41 % (428436)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=3984534914:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.65/1.41 % (428434)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=2765188620:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.65/1.41 % (428439)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2759755645:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.65/1.41 % (428438)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3783033205:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.65/1.41 % (428437)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1632209596:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.65/1.41 % (428440)dis-21_1_sil=8000:lcm=predicate:random_seed=1856734539: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)
% 3.65/1.41 % (428435)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=2044894438:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.65/1.41 % (428440)Refutation not found, incomplete strategy
% 3.65/1.41 % (428440)------------------------------
% 3.65/1.41 % (428440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.41 % (428440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.41 % (428437)First to succeed.
% 3.65/1.41 % (428440)CaDiCaL version: 2.1.3
% 3.65/1.41 % (428440)Termination reason: Refutation not found, incomplete strategy
% 3.65/1.41 % (428440)Time elapsed: 0.001 s
% 3.65/1.41 % (428440)Peak memory usage: 88 MB
% 3.65/1.41 % (428438)Also succeeded, but the first one will report.
% 3.65/1.41 % (428437)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-428429"
% 3.65/1.41 % (428439)Also succeeded, but the first one will report.
% 3.65/1.41 % (428440)------------------------------
% 3.65/1.41 % (428440)------------------------------
% 3.65/1.41 % (428437)Refutation found. Thanks to Tanya!
% 3.65/1.41 % SZS status Theorem for theBenchmark
% 3.65/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.41 % (428437)------------------------------
% 3.65/1.41 % (428437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.41 % (428437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.41 % (428437)CaDiCaL version: 2.1.3
% 3.65/1.41 % (428437)Termination reason: Refutation
% 3.65/1.41 % (428437)Time elapsed: 0.002 s
% 3.65/1.41 % (428437)Peak memory usage: 88 MB
% 3.65/1.41 % (428437)Instructions burned: 1 (million)
% 3.65/1.41 % (428437)------------------------------
% 3.65/1.41 % (428437)------------------------------
% 3.65/1.41 % (428429)Success in time 0.443 s
% 3.65/1.41 % Vampire exiting
%------------------------------------------------------------------------------