TSTP Solution File: LCL899+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL899+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 : Sun May 5 07:55:43 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 51 ( 31 unt; 0 def)
% Number of atoms : 78 ( 30 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 27 ~; 17 |; 3 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 80 ( 78 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f769,plain,
$false,
inference(trivial_inequality_removal,[],[f768]) ).
fof(f768,plain,
sK0 != sK0,
inference(superposition,[],[f514,f741]) ).
fof(f741,plain,
! [X0] : '==>'('0',X0) = X0,
inference(subsumption_resolution,[],[f733,f296]) ).
fof(f296,plain,
! [X0,X1] : '>='(X0,'==>'(X1,X0)),
inference(resolution,[],[f47,f89]) ).
fof(f89,plain,
! [X0,X1] : '>='('+'(X1,X0),X0),
inference(subsumption_resolution,[],[f84,f36]) ).
fof(f36,plain,
! [X0] : '>='(X0,'0'),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : '>='(X0,'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f84,plain,
! [X0,X1] :
( '>='('+'(X1,X0),X0)
| ~ '>='(X1,'0') ),
inference(superposition,[],[f43,f50]) ).
fof(f50,plain,
! [X0] : '+'('0',X0) = X0,
inference(superposition,[],[f39,f38]) ).
fof(f38,plain,
! [X0] : '+'(X0,'0') = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : '+'(X0,'0') = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f39,plain,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f43,plain,
! [X2,X0,X1] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( '>='(X0,X1)
=> '>='('+'(X0,X2),'+'(X1,X2)) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X11,X12,X13] :
( '>='(X11,X12)
=> '>='('+'(X11,X13),'+'(X12,X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ '>='('+'(X0,X1),X2)
| '>='(X1,'==>'(X0,X2)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( '>='('+'(X0,X1),X2)
| ~ '>='(X1,'==>'(X0,X2)) )
& ( '>='(X1,'==>'(X0,X2))
| ~ '>='('+'(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( '>='('+'(X0,X1),X2)
<=> '>='(X1,'==>'(X0,X2)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X8,X9,X10] :
( '>='('+'(X8,X9),X10)
<=> '>='(X9,'==>'(X8,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f733,plain,
! [X0] :
( '==>'('0',X0) = X0
| ~ '>='(X0,'==>'('0',X0)) ),
inference(resolution,[],[f717,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ '>='(X1,X0)
| X0 = X1
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X1,X0)
| ~ '>='(X0,X1) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X1,X0)
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( '>='(X1,X0)
& '>='(X0,X1) )
=> X0 = X1 ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X6,X7] :
( ( '>='(X7,X6)
& '>='(X6,X7) )
=> X6 = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(f717,plain,
! [X0] : '>='('==>'('0',X0),X0),
inference(resolution,[],[f407,f497]) ).
fof(f497,plain,
! [X0,X1] : '>='(X1,'==>'('==>'('0',X0),X0)),
inference(superposition,[],[f305,f40]) ).
fof(f40,plain,
! [X0,X1] : '==>'('==>'(X0,X1),X1) = '==>'('==>'(X1,X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] : '==>'('==>'(X0,X1),X1) = '==>'('==>'(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
fof(f305,plain,
! [X0,X1] : '>='(X0,'==>'(X1,'0')),
inference(resolution,[],[f47,f36]) ).
fof(f407,plain,
! [X0,X1] :
( ~ '>='('0','==>'(X0,X1))
| '>='(X0,X1) ),
inference(superposition,[],[f48,f38]) ).
fof(f48,plain,
! [X2,X0,X1] :
( '>='('+'(X0,X1),X2)
| ~ '>='(X1,'==>'(X0,X2)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f514,plain,
sK0 != '==>'('0',sK0),
inference(forward_demodulation,[],[f499,f325]) ).
fof(f325,plain,
! [X0] : '0' = '==>'('1',X0),
inference(resolution,[],[f314,f66]) ).
fof(f66,plain,
! [X0] :
( ~ '>='('0',X0)
| '0' = X0 ),
inference(resolution,[],[f41,f36]) ).
fof(f314,plain,
! [X0,X1] : '>='(X0,'==>'('1',X1)),
inference(subsumption_resolution,[],[f312,f96]) ).
fof(f96,plain,
! [X0] : '>='('1',X0),
inference(superposition,[],[f89,f49]) ).
fof(f49,plain,
! [X0] : '1' = '+'('1',X0),
inference(superposition,[],[f39,f37]) ).
fof(f37,plain,
! [X0] : '1' = '+'(X0,'1'),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] : '1' = '+'(X0,'1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
fof(f312,plain,
! [X0,X1] :
( ~ '>='('1',X1)
| '>='(X0,'==>'('1',X1)) ),
inference(superposition,[],[f47,f49]) ).
fof(f499,plain,
sK0 != '==>'('==>'('1',sK0),sK0),
inference(superposition,[],[f34,f40]) ).
fof(f34,plain,
sK0 != '==>'('==>'(sK0,'1'),'1'),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
sK0 != '==>'('==>'(sK0,'1'),'1'),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f31]) ).
fof(f31,plain,
( ? [X0] : '==>'('==>'(X0,'1'),'1') != X0
=> sK0 != '==>'('==>'(sK0,'1'),'1') ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0] : '==>'('==>'(X0,'1'),'1') != X0,
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ! [X0] : '==>'('==>'(X0,'1'),'1') = X0,
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X20] : '==>'('==>'(X20,'1'),'1') = X20,
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X20] : '==>'('==>'(X20,'1'),'1') = X20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL899+1 : TPTP v8.1.2. Released v5.5.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 13:54:36 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (4965)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (4968)WARNING: value z3 for option sas not known
% 0.13/0.37 % (4967)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (4969)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (4966)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (4970)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)
% 0.13/0.37 % (4968)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)
% 0.13/0.37 % (4971)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)
% 0.13/0.37 % (4972)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.39 TRYING [3]
% 0.13/0.39 % (4968)First to succeed.
% 0.13/0.39 TRYING [4]
% 0.13/0.39 % (4968)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4965"
% 0.13/0.39 % (4968)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (4968)------------------------------
% 0.13/0.39 % (4968)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (4968)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (4968)Memory used [KB]: 983
% 0.13/0.39 % (4968)Time elapsed: 0.021 s
% 0.13/0.39 % (4968)Instructions burned: 29 (million)
% 0.13/0.39 % (4965)Success in time 0.025 s
%------------------------------------------------------------------------------