TSTP Solution File: SEU123+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU123+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 : n028.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 15:22:16 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 29
% Syntax : Number of formulae : 90 ( 26 unt; 0 def)
% Number of atoms : 220 ( 41 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 239 ( 109 ~; 95 |; 11 &)
% ( 18 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 18 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 53 ( 47 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f144,plain,
$false,
inference(avatar_sat_refutation,[],[f46,f51,f56,f61,f66,f70,f74,f78,f84,f90,f106,f111,f119,f125,f132,f138,f142,f143]) ).
fof(f143,plain,
( ~ spl3_11
| spl3_2
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f114,f108,f48,f99]) ).
fof(f99,plain,
( spl3_11
<=> sK0 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f48,plain,
( spl3_2
<=> empty_set = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f108,plain,
( spl3_13
<=> empty_set = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f114,plain,
( sK0 != sK2
| spl3_2
| ~ spl3_13 ),
inference(superposition,[],[f50,f110]) ).
fof(f110,plain,
( empty_set = sK2
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f50,plain,
( empty_set != sK0
| spl3_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f142,plain,
( spl3_12
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f139]) ).
fof(f139,plain,
( $false
| spl3_12
| ~ spl3_17 ),
inference(resolution,[],[f137,f105]) ).
fof(f105,plain,
( ~ subset(sK2,sK0)
| spl3_12 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl3_12
<=> subset(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f137,plain,
( ! [X0] : subset(sK2,X0)
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl3_17
<=> ! [X0] : subset(sK2,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f138,plain,
( spl3_17
| ~ spl3_6
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f112,f108,f68,f136]) ).
fof(f68,plain,
( spl3_6
<=> ! [X0] : subset(empty_set,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f112,plain,
( ! [X0] : subset(sK2,X0)
| ~ spl3_6
| ~ spl3_13 ),
inference(superposition,[],[f69,f110]) ).
fof(f69,plain,
( ! [X0] : subset(empty_set,X0)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f132,plain,
( spl3_16
| ~ spl3_1
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f115,f108,f43,f129]) ).
fof(f129,plain,
( spl3_16
<=> subset(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f43,plain,
( spl3_1
<=> subset(sK0,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f115,plain,
( subset(sK0,sK2)
| ~ spl3_1
| ~ spl3_13 ),
inference(superposition,[],[f45,f110]) ).
fof(f45,plain,
( subset(sK0,empty_set)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f125,plain,
( spl3_15
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f97,f88,f76,f68,f63,f123]) ).
fof(f123,plain,
( spl3_15
<=> ! [X0] :
( ~ subset(X0,sK2)
| sK2 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f63,plain,
( spl3_5
<=> empty(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f76,plain,
( spl3_8
<=> ! [X0] :
( empty_set = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f88,plain,
( spl3_10
<=> ! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f97,plain,
( ! [X0] :
( ~ subset(X0,sK2)
| sK2 = X0 )
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10 ),
inference(forward_demodulation,[],[f96,f80]) ).
fof(f80,plain,
( empty_set = sK2
| ~ spl3_5
| ~ spl3_8 ),
inference(resolution,[],[f77,f65]) ).
fof(f65,plain,
( empty(sK2)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f77,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = X0 )
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f96,plain,
( ! [X0] :
( sK2 = X0
| ~ subset(X0,empty_set) )
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_10 ),
inference(forward_demodulation,[],[f92,f80]) ).
fof(f92,plain,
( ! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) )
| ~ spl3_6
| ~ spl3_10 ),
inference(resolution,[],[f89,f69]) ).
fof(f89,plain,
( ! [X0,X1] :
( ~ subset(X1,X0)
| X0 = X1
| ~ subset(X0,X1) )
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f119,plain,
( spl3_14
| ~ spl3_5
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f86,f82,f63,f117]) ).
fof(f117,plain,
( spl3_14
<=> ! [X0] :
( sK2 = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f82,plain,
( spl3_9
<=> ! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f86,plain,
( ! [X0] :
( sK2 = X0
| ~ empty(X0) )
| ~ spl3_5
| ~ spl3_9 ),
inference(resolution,[],[f83,f65]) ).
fof(f83,plain,
( ! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) )
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f111,plain,
( spl3_13
| ~ spl3_5
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f80,f76,f63,f108]) ).
fof(f106,plain,
( spl3_11
| ~ spl3_12
| ~ spl3_1
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f95,f88,f76,f63,f43,f103,f99]) ).
fof(f95,plain,
( ~ subset(sK2,sK0)
| sK0 = sK2
| ~ spl3_1
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10 ),
inference(forward_demodulation,[],[f94,f80]) ).
fof(f94,plain,
( sK0 = sK2
| ~ subset(empty_set,sK0)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10 ),
inference(forward_demodulation,[],[f91,f80]) ).
fof(f91,plain,
( empty_set = sK0
| ~ subset(empty_set,sK0)
| ~ spl3_1
| ~ spl3_10 ),
inference(resolution,[],[f89,f45]) ).
fof(f90,plain,
spl3_10,
inference(avatar_split_clause,[],[f36,f88]) ).
fof(f36,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f84,plain,
spl3_9,
inference(avatar_split_clause,[],[f37,f82]) ).
fof(f37,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f78,plain,
spl3_8,
inference(avatar_split_clause,[],[f32,f76]) ).
fof(f32,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f74,plain,
spl3_7,
inference(avatar_split_clause,[],[f33,f72]) ).
fof(f72,plain,
( spl3_7
<=> ! [X0] : subset(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f33,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f70,plain,
spl3_6,
inference(avatar_split_clause,[],[f31,f68]) ).
fof(f31,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(f66,plain,
spl3_5,
inference(avatar_split_clause,[],[f39,f63]) ).
fof(f39,plain,
empty(sK2),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
empty(sK2),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f5,f26]) ).
fof(f26,plain,
( ? [X0] : empty(X0)
=> empty(sK2) ),
introduced(choice_axiom,[]) ).
fof(f5,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f61,plain,
~ spl3_4,
inference(avatar_split_clause,[],[f38,f58]) ).
fof(f58,plain,
( spl3_4
<=> empty(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f38,plain,
~ empty(sK1),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
~ empty(sK1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f6,f24]) ).
fof(f24,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK1) ),
introduced(choice_axiom,[]) ).
fof(f6,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f56,plain,
spl3_3,
inference(avatar_split_clause,[],[f30,f53]) ).
fof(f53,plain,
( spl3_3
<=> empty(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f30,plain,
empty(empty_set),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f51,plain,
~ spl3_2,
inference(avatar_split_clause,[],[f29,f48]) ).
fof(f29,plain,
empty_set != sK0,
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( empty_set != sK0
& subset(sK0,empty_set) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f17,f20]) ).
fof(f20,plain,
( ? [X0] :
( empty_set != X0
& subset(X0,empty_set) )
=> ( empty_set != sK0
& subset(sK0,empty_set) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0] :
( empty_set != X0
& subset(X0,empty_set) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0] :
( subset(X0,empty_set)
=> empty_set = X0 ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0] :
( subset(X0,empty_set)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(f46,plain,
spl3_1,
inference(avatar_split_clause,[],[f28,f43]) ).
fof(f28,plain,
subset(sK0,empty_set),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU123+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Apr 29 21:14:59 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (26067)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (26072)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)
% 0.15/0.38 % (26070)WARNING: value z3 for option sas not known
% 0.15/0.38 % (26069)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (26068)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (26071)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (26073)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)
% 0.15/0.38 % (26070)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)
% 0.15/0.38 % (26074)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)
% 0.15/0.38 % (26072)First to succeed.
% 0.15/0.38 Detected minimum model sizes of [1]
% 0.15/0.38 Detected maximum model sizes of [4]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 Detected minimum model sizes of [1]
% 0.15/0.38 Detected maximum model sizes of [8]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (26071)Also succeeded, but the first one will report.
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 % (26073)Also succeeded, but the first one will report.
% 0.15/0.38 % (26072)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (26072)------------------------------
% 0.15/0.38 % (26072)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (26072)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (26072)Memory used [KB]: 783
% 0.15/0.38 % (26072)Time elapsed: 0.005 s
% 0.15/0.38 % (26072)Instructions burned: 5 (million)
% 0.15/0.38 % (26072)------------------------------
% 0.15/0.38 % (26072)------------------------------
% 0.15/0.38 % (26067)Success in time 0.019 s
%------------------------------------------------------------------------------