TSTP Solution File: MGT003+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT003+1 : TPTP v8.2.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 May 21 00:42:34 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 54 ( 14 unt; 0 def)
% Number of atoms : 241 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 302 ( 115 ~; 102 |; 73 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 151 ( 132 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84,plain,
$false,
inference(subsumption_resolution,[],[f83,f56]) ).
fof(f56,plain,
greater(sK5(sK0,sK4),sK5(sK0,sK3)),
inference(subsumption_resolution,[],[f55,f23]) ).
fof(f23,plain,
organization(sK0,sK3),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( ~ greater(sK2,sK1)
& greater(sK4,sK3)
& survival_chance(sK0,sK2,sK4)
& survival_chance(sK0,sK1,sK3)
& reorganization_free(sK0,sK3,sK4)
& organization(sK0,sK4)
& organization(sK0,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f12,f19]) ).
fof(f19,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ greater(X2,X1)
& greater(X4,X3)
& survival_chance(X0,X2,X4)
& survival_chance(X0,X1,X3)
& reorganization_free(X0,X3,X4)
& organization(X0,X4)
& organization(X0,X3) )
=> ( ~ greater(sK2,sK1)
& greater(sK4,sK3)
& survival_chance(sK0,sK2,sK4)
& survival_chance(sK0,sK1,sK3)
& reorganization_free(sK0,sK3,sK4)
& organization(sK0,sK4)
& organization(sK0,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
? [X0,X1,X2,X3,X4] :
( ~ greater(X2,X1)
& greater(X4,X3)
& survival_chance(X0,X2,X4)
& survival_chance(X0,X1,X3)
& reorganization_free(X0,X3,X4)
& organization(X0,X4)
& organization(X0,X3) ),
inference(flattening,[],[f11]) ).
fof(f11,plain,
? [X0,X1,X2,X3,X4] :
( ~ greater(X2,X1)
& greater(X4,X3)
& survival_chance(X0,X2,X4)
& survival_chance(X0,X1,X3)
& reorganization_free(X0,X3,X4)
& organization(X0,X4)
& organization(X0,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( greater(X4,X3)
& survival_chance(X0,X2,X4)
& survival_chance(X0,X1,X3)
& reorganization_free(X0,X3,X4)
& organization(X0,X4)
& organization(X0,X3) )
=> greater(X2,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ! [X0,X8,X9,X1,X2] :
( ( greater(X2,X1)
& survival_chance(X0,X9,X2)
& survival_chance(X0,X8,X1)
& reorganization_free(X0,X1,X2)
& organization(X0,X2)
& organization(X0,X1) )
=> greater(X9,X8) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
! [X0,X8,X9,X1,X2] :
( ( greater(X2,X1)
& survival_chance(X0,X9,X2)
& survival_chance(X0,X8,X1)
& reorganization_free(X0,X1,X2)
& organization(X0,X2)
& organization(X0,X1) )
=> greater(X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_FOL) ).
fof(f55,plain,
( greater(sK5(sK0,sK4),sK5(sK0,sK3))
| ~ organization(sK0,sK3) ),
inference(subsumption_resolution,[],[f54,f25]) ).
fof(f25,plain,
reorganization_free(sK0,sK3,sK4),
inference(cnf_transformation,[],[f20]) ).
fof(f54,plain,
( greater(sK5(sK0,sK4),sK5(sK0,sK3))
| ~ reorganization_free(sK0,sK3,sK4)
| ~ organization(sK0,sK3) ),
inference(subsumption_resolution,[],[f52,f28]) ).
fof(f28,plain,
greater(sK4,sK3),
inference(cnf_transformation,[],[f20]) ).
fof(f52,plain,
( greater(sK5(sK0,sK4),sK5(sK0,sK3))
| ~ greater(sK4,sK3)
| ~ reorganization_free(sK0,sK3,sK4)
| ~ organization(sK0,sK3) ),
inference(resolution,[],[f46,f41]) ).
fof(f41,plain,
inertia(sK0,sK5(sK0,sK3),sK3),
inference(resolution,[],[f32,f23]) ).
fof(f32,plain,
! [X0,X1] :
( ~ organization(X0,X1)
| inertia(X0,sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( inertia(X0,sK5(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f17,f21]) ).
fof(f21,plain,
! [X0,X1] :
( ? [X2] : inertia(X0,X2,X1)
=> inertia(X0,sK5(X0,X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0,X1] :
( ? [X2] : inertia(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( organization(X0,X1)
=> ? [X2] : inertia(X0,X2,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X3] :
( organization(X0,X3)
=> ? [X4] : inertia(X0,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5) ).
fof(f46,plain,
! [X0,X1] :
( ~ inertia(sK0,X1,X0)
| greater(sK5(sK0,sK4),X1)
| ~ greater(sK4,X0)
| ~ reorganization_free(sK0,X0,sK4)
| ~ organization(sK0,X0) ),
inference(subsumption_resolution,[],[f44,f24]) ).
fof(f24,plain,
organization(sK0,sK4),
inference(cnf_transformation,[],[f20]) ).
fof(f44,plain,
! [X0,X1] :
( ~ greater(sK4,X0)
| greater(sK5(sK0,sK4),X1)
| ~ inertia(sK0,X1,X0)
| ~ reorganization_free(sK0,X0,sK4)
| ~ organization(sK0,sK4)
| ~ organization(sK0,X0) ),
inference(resolution,[],[f30,f42]) ).
fof(f42,plain,
inertia(sK0,sK5(sK0,sK4),sK4),
inference(resolution,[],[f32,f24]) ).
fof(f30,plain,
! [X2,X3,X0,X1,X4] :
( ~ inertia(X0,X2,X4)
| ~ greater(X4,X3)
| greater(X2,X1)
| ~ inertia(X0,X1,X3)
| ~ reorganization_free(X0,X3,X4)
| ~ organization(X0,X4)
| ~ organization(X0,X3) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4] :
( greater(X2,X1)
| ~ greater(X4,X3)
| ~ inertia(X0,X2,X4)
| ~ inertia(X0,X1,X3)
| ~ reorganization_free(X0,X3,X4)
| ~ organization(X0,X4)
| ~ organization(X0,X3) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4] :
( greater(X2,X1)
| ~ greater(X4,X3)
| ~ inertia(X0,X2,X4)
| ~ inertia(X0,X1,X3)
| ~ reorganization_free(X0,X3,X4)
| ~ organization(X0,X4)
| ~ organization(X0,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X1,X2,X3,X4] :
( ( greater(X4,X3)
& inertia(X0,X2,X4)
& inertia(X0,X1,X3)
& reorganization_free(X0,X3,X4)
& organization(X0,X4)
& organization(X0,X3) )
=> greater(X2,X1) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X6,X7,X1,X2] :
( ( greater(X2,X1)
& inertia(X0,X7,X2)
& inertia(X0,X6,X1)
& reorganization_free(X0,X1,X2)
& organization(X0,X2)
& organization(X0,X1) )
=> greater(X7,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL) ).
fof(f83,plain,
~ greater(sK5(sK0,sK4),sK5(sK0,sK3)),
inference(resolution,[],[f82,f41]) ).
fof(f82,plain,
! [X0] :
( ~ inertia(sK0,X0,sK3)
| ~ greater(sK5(sK0,sK4),X0) ),
inference(resolution,[],[f79,f42]) ).
fof(f79,plain,
! [X0,X1] :
( ~ inertia(sK0,X0,sK4)
| ~ greater(X0,X1)
| ~ inertia(sK0,X1,sK3) ),
inference(subsumption_resolution,[],[f78,f23]) ).
fof(f78,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ inertia(sK0,X0,sK4)
| ~ inertia(sK0,X1,sK3)
| ~ organization(sK0,sK3) ),
inference(subsumption_resolution,[],[f77,f35]) ).
fof(f35,plain,
reorganization_free(sK0,sK3,sK3),
inference(resolution,[],[f33,f25]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ reorganization_free(X0,X1,X2)
| reorganization_free(X0,X1,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( reorganization_free(X0,X2,X2)
& reorganization_free(X0,X1,X1) )
| ~ reorganization_free(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( reorganization_free(X0,X1,X2)
=> ( reorganization_free(X0,X2,X2)
& reorganization_free(X0,X1,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4) ).
fof(f77,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ inertia(sK0,X0,sK4)
| ~ inertia(sK0,X1,sK3)
| ~ reorganization_free(sK0,sK3,sK3)
| ~ organization(sK0,sK3) ),
inference(subsumption_resolution,[],[f75,f29]) ).
fof(f29,plain,
~ greater(sK2,sK1),
inference(cnf_transformation,[],[f20]) ).
fof(f75,plain,
! [X0,X1] :
( greater(sK2,sK1)
| ~ greater(X0,X1)
| ~ inertia(sK0,X0,sK4)
| ~ inertia(sK0,X1,sK3)
| ~ reorganization_free(sK0,sK3,sK3)
| ~ organization(sK0,sK3) ),
inference(resolution,[],[f64,f26]) ).
fof(f26,plain,
survival_chance(sK0,sK1,sK3),
inference(cnf_transformation,[],[f20]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X4] :
( ~ survival_chance(X3,X2,X4)
| greater(sK2,X2)
| ~ greater(X0,X1)
| ~ inertia(sK0,X0,sK4)
| ~ inertia(X3,X1,X4)
| ~ reorganization_free(X3,X4,X4)
| ~ organization(X3,X4) ),
inference(subsumption_resolution,[],[f63,f24]) ).
fof(f63,plain,
! [X2,X3,X0,X1,X4] :
( ~ greater(X0,X1)
| greater(sK2,X2)
| ~ survival_chance(X3,X2,X4)
| ~ inertia(sK0,X0,sK4)
| ~ inertia(X3,X1,X4)
| ~ reorganization_free(X3,X4,X4)
| ~ organization(sK0,sK4)
| ~ organization(X3,X4) ),
inference(subsumption_resolution,[],[f60,f37]) ).
fof(f37,plain,
reorganization_free(sK0,sK4,sK4),
inference(resolution,[],[f34,f25]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ reorganization_free(X0,X1,X2)
| reorganization_free(X0,X2,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f60,plain,
! [X2,X3,X0,X1,X4] :
( ~ greater(X0,X1)
| greater(sK2,X2)
| ~ survival_chance(X3,X2,X4)
| ~ inertia(sK0,X0,sK4)
| ~ inertia(X3,X1,X4)
| ~ reorganization_free(sK0,sK4,sK4)
| ~ reorganization_free(X3,X4,X4)
| ~ organization(sK0,sK4)
| ~ organization(X3,X4) ),
inference(resolution,[],[f31,f27]) ).
fof(f27,plain,
survival_chance(sK0,sK2,sK4),
inference(cnf_transformation,[],[f20]) ).
fof(f31,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ survival_chance(X1,X7,X3)
| ~ greater(X5,X4)
| greater(X7,X6)
| ~ survival_chance(X0,X6,X2)
| ~ inertia(X1,X5,X3)
| ~ inertia(X0,X4,X2)
| ~ reorganization_free(X1,X3,X3)
| ~ reorganization_free(X0,X2,X2)
| ~ organization(X1,X3)
| ~ organization(X0,X2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( greater(X7,X6)
| ~ greater(X5,X4)
| ~ survival_chance(X1,X7,X3)
| ~ survival_chance(X0,X6,X2)
| ~ inertia(X1,X5,X3)
| ~ inertia(X0,X4,X2)
| ~ reorganization_free(X1,X3,X3)
| ~ reorganization_free(X0,X2,X2)
| ~ organization(X1,X3)
| ~ organization(X0,X2) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( greater(X7,X6)
| ~ greater(X5,X4)
| ~ survival_chance(X1,X7,X3)
| ~ survival_chance(X0,X6,X2)
| ~ inertia(X1,X5,X3)
| ~ inertia(X0,X4,X2)
| ~ reorganization_free(X1,X3,X3)
| ~ reorganization_free(X0,X2,X2)
| ~ organization(X1,X3)
| ~ organization(X0,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( greater(X5,X4)
& survival_chance(X1,X7,X3)
& survival_chance(X0,X6,X2)
& inertia(X1,X5,X3)
& inertia(X0,X4,X2)
& reorganization_free(X1,X3,X3)
& reorganization_free(X0,X2,X2)
& organization(X1,X3)
& organization(X0,X2) )
=> greater(X7,X6) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X5,X1,X2,X6,X7,X8,X9] :
( ( greater(X7,X6)
& survival_chance(X5,X9,X2)
& survival_chance(X0,X8,X1)
& inertia(X5,X7,X2)
& inertia(X0,X6,X1)
& reorganization_free(X5,X2,X2)
& reorganization_free(X0,X1,X1)
& organization(X5,X2)
& organization(X0,X1) )
=> greater(X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : MGT003+1 : TPTP v8.2.0. Released v2.0.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 00:01:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (7344)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (7345)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36 % (7348)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36 % (7347)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.36 % (7351)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36 % (7346)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [1,1]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2,2]
% 0.13/0.36 TRYING [1,1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [2,2]
% 0.13/0.36 % (7350)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36 TRYING [3]
% 0.13/0.36 % (7349)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36 TRYING [3]
% 0.13/0.36 TRYING [3,3]
% 0.13/0.36 TRYING [3,3]
% 0.13/0.37 % (7349)First to succeed.
% 0.13/0.37 % (7350)Also succeeded, but the first one will report.
% 0.13/0.37 % (7349)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7344"
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [4,4]
% 0.13/0.37 % (7349)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (7349)------------------------------
% 0.13/0.37 % (7349)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (7349)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (7349)Memory used [KB]: 767
% 0.13/0.37 % (7349)Time elapsed: 0.004 s
% 0.13/0.37 % (7349)Instructions burned: 6 (million)
% 0.13/0.37 % (7344)Success in time 0.022 s
%------------------------------------------------------------------------------