TSTP Solution File: MGT011-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT011-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.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 13:54:03 EDT 2024
% Result : Unsatisfiable 0.22s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 46 ( 22 unt; 0 def)
% Number of atoms : 130 ( 3 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 180 ( 96 ~; 78 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 110 ( 110 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f108,plain,
$false,
inference(unit_resulting_resolution,[],[f8,f87,f99,f38,f48,f22]) ).
fof(f22,plain,
! [X2,X3,X7,X4,X5] :
( ~ sP2(X5,X3,X2)
| ~ class(X2,X4,X3)
| ~ sP1(X2,X3,X7)
| ~ organization(X2,X3)
| sP3(X5,X4,X7,X3) ),
inference(cnf_transformation,[],[f22_D]) ).
fof(f22_D,plain,
! [X3,X7,X4,X5] :
( ! [X2] :
( ~ sP2(X5,X3,X2)
| ~ class(X2,X4,X3)
| ~ sP1(X2,X3,X7)
| ~ organization(X2,X3) )
<=> ~ sP3(X5,X4,X7,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f48,plain,
sP2(sk5,sk6,sk3),
inference(unit_resulting_resolution,[],[f14,f11,f20]) ).
fof(f20,plain,
! [X2,X3,X6,X5] :
( ~ size(X2,X6,X3)
| ~ greater(X6,X5)
| sP2(X5,X3,X2) ),
inference(cnf_transformation,[],[f20_D]) ).
fof(f20_D,plain,
! [X2,X3,X5] :
( ! [X6] :
( ~ size(X2,X6,X3)
| ~ greater(X6,X5) )
<=> ~ sP2(X5,X3,X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,axiom,
size(sk3,sk4,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_30) ).
fof(f14,axiom,
greater(sk4,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_33) ).
fof(f38,plain,
class(sk3,sk2(sk6,sk3),sk6),
inference(unit_resulting_resolution,[],[f8,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ organization(X0,X1)
| class(X0,sk2(X1,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp9_23) ).
fof(f99,plain,
! [X0] : ~ sP3(sk5,sk2(sk6,sk3),sk1(sk7,sk3),X0),
inference(unit_resulting_resolution,[],[f96,f24]) ).
fof(f24,plain,
! [X3,X7,X4,X5] :
( ~ sP3(X5,X4,X7,X3)
| sP4(X4,X5,X7) ),
inference(cnf_transformation,[],[f24_D]) ).
fof(f24_D,plain,
! [X7,X5,X4] :
( ! [X3] : ~ sP3(X5,X4,X7,X3)
<=> ~ sP4(X4,X5,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f96,plain,
~ sP4(sk2(sk6,sk3),sk5,sk1(sk7,sk3)),
inference(unit_resulting_resolution,[],[f9,f12,f63,f35,f25]) ).
fof(f25,plain,
! [X0,X1,X7,X4,X5] :
( ~ sP4(X4,X5,X7)
| ~ inertia(X0,X7,X1)
| ~ class(X0,X4,X1)
| ~ size(X0,X5,X1)
| ~ organization(X0,X1) ),
inference(general_splitting,[],[f23,f24_D]) ).
fof(f23,plain,
! [X3,X0,X1,X7,X4,X5] :
( ~ organization(X0,X1)
| ~ inertia(X0,X7,X1)
| ~ class(X0,X4,X1)
| ~ size(X0,X5,X1)
| ~ sP3(X5,X4,X7,X3) ),
inference(general_splitting,[],[f21,f22_D]) ).
fof(f21,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ~ organization(X2,X3)
| ~ organization(X0,X1)
| ~ inertia(X0,X7,X1)
| ~ class(X2,X4,X3)
| ~ class(X0,X4,X1)
| ~ size(X0,X5,X1)
| ~ sP1(X2,X3,X7)
| ~ sP2(X5,X3,X2) ),
inference(general_splitting,[],[f19,f20_D]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ organization(X2,X3)
| ~ organization(X0,X1)
| ~ greater(X6,X5)
| ~ inertia(X0,X7,X1)
| ~ class(X2,X4,X3)
| ~ class(X0,X4,X1)
| ~ size(X2,X6,X3)
| ~ size(X0,X5,X1)
| ~ sP1(X2,X3,X7) ),
inference(general_splitting,[],[f6,f18_D]) ).
fof(f18,plain,
! [X2,X3,X8,X7] :
( ~ inertia(X2,X8,X3)
| greater(X8,X7)
| sP1(X2,X3,X7) ),
inference(cnf_transformation,[],[f18_D]) ).
fof(f18_D,plain,
! [X7,X3,X2] :
( ! [X8] :
( ~ inertia(X2,X8,X3)
| greater(X8,X7) )
<=> ~ sP1(X2,X3,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ organization(X2,X3)
| ~ organization(X0,X1)
| ~ greater(X6,X5)
| greater(X8,X7)
| ~ inertia(X2,X8,X3)
| ~ inertia(X0,X7,X1)
| ~ class(X2,X4,X3)
| ~ class(X0,X4,X1)
| ~ size(X2,X6,X3)
| ~ size(X0,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_FOL_25) ).
fof(f35,plain,
inertia(sk3,sk1(sk7,sk3),sk7),
inference(unit_resulting_resolution,[],[f9,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ organization(X0,X1)
| inertia(X0,sk1(X1,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5_20) ).
fof(f63,plain,
class(sk3,sk2(sk6,sk3),sk7),
inference(superposition,[],[f39,f58]) ).
fof(f58,plain,
sk2(sk6,sk3) = sk2(sk7,sk3),
inference(unit_resulting_resolution,[],[f8,f38,f55,f27]) ).
fof(f27,plain,
! [X3,X0,X1,X4] :
( ~ sP5(X4,X0,X1)
| X3 = X4
| ~ class(X0,X3,X1)
| ~ organization(X0,X1) ),
inference(general_splitting,[],[f5,f26_D]) ).
fof(f26,plain,
! [X2,X0,X1,X4] :
( ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ class(X0,X4,X2)
| sP5(X4,X0,X1) ),
inference(cnf_transformation,[],[f26_D]) ).
fof(f26_D,plain,
! [X1,X0,X4] :
( ! [X2] :
( ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ class(X0,X4,X2) )
<=> ~ sP5(X4,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X4] :
( ~ organization(X0,X2)
| ~ organization(X0,X1)
| X3 = X4
| ~ reorganization_free(X0,X1,X2)
| ~ class(X0,X4,X2)
| ~ class(X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp10_24) ).
fof(f55,plain,
sP5(sk2(sk7,sk3),sk3,sk6),
inference(unit_resulting_resolution,[],[f39,f9,f10,f26]) ).
fof(f10,axiom,
reorganization_free(sk3,sk6,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_29) ).
fof(f39,plain,
class(sk3,sk2(sk7,sk3),sk7),
inference(unit_resulting_resolution,[],[f9,f4]) ).
fof(f12,axiom,
size(sk3,sk5,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_31) ).
fof(f9,axiom,
organization(sk3,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_28) ).
fof(f87,plain,
sP1(sk3,sk6,sk1(sk7,sk3)),
inference(unit_resulting_resolution,[],[f34,f83,f18]) ).
fof(f83,plain,
~ greater(sk1(sk6,sk3),sk1(sk7,sk3)),
inference(unit_resulting_resolution,[],[f78,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_2_22) ).
fof(f78,plain,
greater(sk1(sk7,sk3),sk1(sk6,sk3)),
inference(unit_resulting_resolution,[],[f8,f34,f74,f17]) ).
fof(f17,plain,
! [X3,X0,X1,X4] :
( ~ sP0(X4,X0,X1)
| greater(X4,X3)
| ~ inertia(X0,X3,X1)
| ~ organization(X0,X1) ),
inference(general_splitting,[],[f7,f16_D]) ).
fof(f16,plain,
! [X2,X0,X1,X4] :
( ~ reorganization_free(X0,X1,X2)
| ~ greater(X2,X1)
| ~ organization(X0,X2)
| ~ inertia(X0,X4,X2)
| sP0(X4,X0,X1) ),
inference(cnf_transformation,[],[f16_D]) ).
fof(f16_D,plain,
! [X1,X0,X4] :
( ! [X2] :
( ~ reorganization_free(X0,X1,X2)
| ~ greater(X2,X1)
| ~ organization(X0,X2)
| ~ inertia(X0,X4,X2) )
<=> ~ sP0(X4,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( ~ organization(X0,X1)
| ~ organization(X0,X2)
| ~ greater(X2,X1)
| greater(X4,X3)
| ~ reorganization_free(X0,X1,X2)
| ~ inertia(X0,X4,X2)
| ~ inertia(X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_FOL_26) ).
fof(f74,plain,
sP0(sk1(sk7,sk3),sk3,sk6),
inference(unit_resulting_resolution,[],[f35,f9,f13,f10,f16]) ).
fof(f13,axiom,
greater(sk7,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_32) ).
fof(f34,plain,
inertia(sk3,sk1(sk6,sk3),sk6),
inference(unit_resulting_resolution,[],[f8,f1]) ).
fof(f8,axiom,
organization(sk3,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL_27) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MGT011-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n031.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 04:12:43 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (10403)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.37 % (10406)WARNING: value z3 for option sas not known
% 0.22/0.37 % (10404)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.37 % (10407)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.37 % (10405)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.37 % (10406)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)
% 0.22/0.37 % (10408)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)
% 0.22/0.37 % (10409)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)
% 0.22/0.37 % (10410)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)
% 0.22/0.37 TRYING [1]
% 0.22/0.37 TRYING [1]
% 0.22/0.37 TRYING [2]
% 0.22/0.37 TRYING [2]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 % (10410)First to succeed.
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 % (10408)Also succeeded, but the first one will report.
% 0.22/0.38 TRYING [4]
% 0.22/0.38 TRYING [4]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 % (10409)Also succeeded, but the first one will report.
% 0.22/0.38 % (10410)Refutation found. Thanks to Tanya!
% 0.22/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.38 % (10410)------------------------------
% 0.22/0.38 % (10410)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.38 % (10410)Termination reason: Refutation
% 0.22/0.38
% 0.22/0.38 % (10410)Memory used [KB]: 836
% 0.22/0.38 % (10410)Time elapsed: 0.006 s
% 0.22/0.38 % (10410)Instructions burned: 8 (million)
% 0.22/0.38 % (10410)------------------------------
% 0.22/0.38 % (10410)------------------------------
% 0.22/0.38 % (10403)Success in time 0.023 s
%------------------------------------------------------------------------------