TSTP Solution File: SEU189+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU189+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 15:23:40 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 49 ( 13 unt; 0 def)
% Number of atoms : 121 ( 48 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 117 ( 45 ~; 39 |; 22 &)
% ( 2 <=>; 8 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 28 ( 22 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f277,plain,
$false,
inference(subsumption_resolution,[],[f276,f65]) ).
fof(f65,plain,
empty_set = relation_rng(empty_set),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
( empty_set = relation_rng(empty_set)
& empty_set = relation_dom(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_relat_1) ).
fof(f276,plain,
empty_set != relation_rng(empty_set),
inference(forward_demodulation,[],[f273,f231]) ).
fof(f231,plain,
empty_set = sK0,
inference(forward_demodulation,[],[f223,f96]) ).
fof(f96,plain,
empty_set = sK5,
inference(unit_resulting_resolution,[],[f86,f69]) ).
fof(f69,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f86,plain,
empty(sK5),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( relation(sK5)
& empty(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f6,f56]) ).
fof(f56,plain,
( ? [X0] :
( relation(X0)
& empty(X0) )
=> ( relation(sK5)
& empty(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f6,axiom,
? [X0] :
( relation(X0)
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f223,plain,
sK0 = sK5,
inference(unit_resulting_resolution,[],[f86,f209,f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f209,plain,
empty(sK0),
inference(subsumption_resolution,[],[f208,f61]) ).
fof(f61,plain,
empty(empty_set),
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f208,plain,
( ~ empty(empty_set)
| empty(sK0) ),
inference(superposition,[],[f170,f207]) ).
fof(f207,plain,
empty_set = relation_dom(sK0),
inference(subsumption_resolution,[],[f204,f69]) ).
fof(f204,plain,
( empty_set = relation_dom(sK0)
| empty(relation_dom(sK0)) ),
inference(resolution,[],[f199,f72]) ).
fof(f72,plain,
! [X0] :
( ~ empty(X0)
| empty(relation_dom(X0)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ( relation(relation_dom(X0))
& empty(relation_dom(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_dom(X0))
& empty(relation_dom(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(f199,plain,
( empty(sK0)
| empty_set = relation_dom(sK0) ),
inference(subsumption_resolution,[],[f198,f61]) ).
fof(f198,plain,
( ~ empty(empty_set)
| empty(sK0)
| empty_set = relation_dom(sK0) ),
inference(superposition,[],[f177,f59]) ).
fof(f59,plain,
( empty_set = relation_rng(sK0)
| empty_set = relation_dom(sK0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( empty_set != relation_rng(sK0)
| empty_set != relation_dom(sK0) )
& ( empty_set = relation_rng(sK0)
| empty_set = relation_dom(sK0) )
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f45,f46]) ).
fof(f46,plain,
( ? [X0] :
( ( relation_rng(X0) != empty_set
| relation_dom(X0) != empty_set )
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) )
=> ( ( empty_set != relation_rng(sK0)
| empty_set != relation_dom(sK0) )
& ( empty_set = relation_rng(sK0)
| empty_set = relation_dom(sK0) )
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0] :
( ( relation_rng(X0) != empty_set
| relation_dom(X0) != empty_set )
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
? [X0] :
( ( relation_rng(X0) != empty_set
| relation_dom(X0) != empty_set )
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
? [X0] :
( ( relation_dom(X0) = empty_set
<~> relation_rng(X0) = empty_set )
& relation(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( relation_dom(X0) = empty_set
<=> relation_rng(X0) = empty_set ) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X0] :
( relation(X0)
=> ( relation_dom(X0) = empty_set
<=> relation_rng(X0) = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_relat_1) ).
fof(f177,plain,
( ~ empty(relation_rng(sK0))
| empty(sK0) ),
inference(resolution,[],[f75,f58]) ).
fof(f58,plain,
relation(sK0),
inference(cnf_transformation,[],[f47]) ).
fof(f75,plain,
! [X0] :
( ~ relation(X0)
| ~ empty(relation_rng(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f170,plain,
( ~ empty(relation_dom(sK0))
| empty(sK0) ),
inference(resolution,[],[f74,f58]) ).
fof(f74,plain,
! [X0] :
( ~ relation(X0)
| ~ empty(relation_dom(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(f273,plain,
empty_set != relation_rng(sK0),
inference(unit_resulting_resolution,[],[f207,f60]) ).
fof(f60,plain,
( empty_set != relation_rng(sK0)
| empty_set != relation_dom(sK0) ),
inference(cnf_transformation,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU189+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 20:54:04 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (13257)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (13261)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (13258)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (13259)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (13263)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (13262)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (13264)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (13260)WARNING: value z3 for option sas not known
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (13260)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (13264)First to succeed.
% 0.14/0.38 TRYING [5]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (13264)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (13264)------------------------------
% 0.14/0.38 % (13264)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (13264)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (13264)Memory used [KB]: 768
% 0.14/0.38 % (13264)Time elapsed: 0.006 s
% 0.14/0.38 % (13264)Instructions burned: 7 (million)
% 0.14/0.38 % (13264)------------------------------
% 0.14/0.38 % (13264)------------------------------
% 0.14/0.38 % (13257)Success in time 0.022 s
%------------------------------------------------------------------------------