TSTP Solution File: LCL899+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL899+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n005.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 : Wed Aug 31 17:50:19 EDT 2022
% Result : Theorem 0.16s 0.51s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 57 ( 37 unt; 0 def)
% Number of atoms : 85 ( 35 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 26 ~; 18 |; 3 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 82 ( 80 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f395,plain,
$false,
inference(subsumption_resolution,[],[f394,f56]) ).
fof(f56,plain,
sK0 != sF2,
inference(definition_folding,[],[f43,f55,f54]) ).
fof(f54,plain,
'==>'(sK0,'1') = sF1,
introduced(function_definition,[]) ).
fof(f55,plain,
'==>'(sF1,'1') = sF2,
introduced(function_definition,[]) ).
fof(f43,plain,
'==>'('==>'(sK0,'1'),'1') != sK0,
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
'==>'('==>'(sK0,'1'),'1') != sK0,
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f26,f35]) ).
fof(f35,plain,
( ? [X0] : '==>'('==>'(X0,'1'),'1') != X0
=> '==>'('==>'(sK0,'1'),'1') != sK0 ),
introduced(choice_axiom,[]) ).
fof(f26,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/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f394,plain,
sK0 = sF2,
inference(forward_demodulation,[],[f393,f314]) ).
fof(f314,plain,
! [X8] : '==>'('0',X8) = X8,
inference(subsumption_resolution,[],[f309,f104]) ).
fof(f104,plain,
! [X0,X1] : '>='(X0,'==>'(X1,X0)),
inference(resolution,[],[f103,f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ '>='('+'(X1,X0),X2)
| '>='(X0,'==>'(X1,X2)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( '>='('+'(X1,X0),X2)
| ~ '>='(X0,'==>'(X1,X2)) )
& ( '>='(X0,'==>'(X1,X2))
| ~ '>='('+'(X1,X0),X2) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( '>='('+'(X1,X0),X2)
<=> '>='(X0,'==>'(X1,X2)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X9,X8,X10] :
( '>='('+'(X8,X9),X10)
<=> '>='(X9,'==>'(X8,X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(f103,plain,
! [X0,X1] : '>='('+'(X0,X1),X1),
inference(forward_demodulation,[],[f101,f61]) ).
fof(f61,plain,
! [X0] : '+'('0',X0) = X0,
inference(superposition,[],[f45,f51]) ).
fof(f51,plain,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f45,plain,
! [X0] : '+'(X0,'0') = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : '+'(X0,'0') = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(f101,plain,
! [X0,X1] : '>='('+'(X0,X1),'+'('0',X1)),
inference(resolution,[],[f42,f49]) ).
fof(f49,plain,
! [X0] : '>='(X0,'0'),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : '>='(X0,'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ '>='(X0,X1)
| '>='('+'(X0,X2),'+'(X1,X2)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X2,X1,X0] :
( '>='('+'(X2,X0),'+'(X1,X0))
| ~ '>='(X2,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X2,X0] :
( '>='(X2,X1)
=> '>='('+'(X2,X0),'+'(X1,X0)) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X13,X12,X11] :
( '>='(X11,X12)
=> '>='('+'(X11,X13),'+'(X12,X13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09) ).
fof(f309,plain,
! [X8] :
( ~ '>='(X8,'==>'('0',X8))
| '==>'('0',X8) = X8 ),
inference(resolution,[],[f205,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ '>='(X1,X0)
| ~ '>='(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( X0 = X1
| ~ '>='(X1,X0)
| ~ '>='(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( ( '>='(X0,X1)
& '>='(X1,X0) )
=> X0 = X1 ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X6,X7] :
( ( '>='(X6,X7)
& '>='(X7,X6) )
=> X6 = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(f205,plain,
! [X4] : '>='('==>'('0',X4),X4),
inference(superposition,[],[f97,f61]) ).
fof(f97,plain,
! [X0,X1] : '>='('+'(X0,'==>'(X0,X1)),X1),
inference(resolution,[],[f40,f53]) ).
fof(f53,plain,
! [X0] : '>='(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : '>='(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ '>='(X0,'==>'(X1,X2))
| '>='('+'(X1,X0),X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f393,plain,
sF2 = '==>'('0',sK0),
inference(backward_demodulation,[],[f272,f382]) ).
fof(f382,plain,
! [X13] : '0' = '==>'('1',X13),
inference(subsumption_resolution,[],[f376,f49]) ).
fof(f376,plain,
! [X13] :
( ~ '>='('==>'('1',X13),'0')
| '0' = '==>'('1',X13) ),
inference(resolution,[],[f351,f41]) ).
fof(f351,plain,
! [X12] : '>='('0','==>'('1',X12)),
inference(resolution,[],[f81,f114]) ).
fof(f114,plain,
! [X7] : '>='('1',X7),
inference(superposition,[],[f103,f64]) ).
fof(f64,plain,
! [X1] : '1' = '+'('1',X1),
inference(superposition,[],[f50,f51]) ).
fof(f50,plain,
! [X0] : '1' = '+'(X0,'1'),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] : '1' = '+'(X0,'1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
fof(f81,plain,
! [X0,X1] :
( ~ '>='(X0,X1)
| '>='('0','==>'(X0,X1)) ),
inference(superposition,[],[f39,f45]) ).
fof(f272,plain,
'==>'('==>'('1',sK0),sK0) = sF2,
inference(forward_demodulation,[],[f257,f55]) ).
fof(f257,plain,
'==>'(sF1,'1') = '==>'('==>'('1',sK0),sK0),
inference(superposition,[],[f46,f54]) ).
fof(f46,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/sandbox/benchmark/theBenchmark.p',sos_13) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL899+1 : TPTP v8.1.0. Released v5.5.0.
% 0.00/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 02:53:03 EDT 2022
% 0.16/0.31 % CPUTime :
% 0.16/0.46 % (30765)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.46 % (30776)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.47 % (30764)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.47 % (30781)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.47 % (30768)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.47 % (30773)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.47 % (30772)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.48 % (30784)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.48 TRYING [1]
% 0.16/0.48 TRYING [2]
% 0.16/0.48 TRYING [3]
% 0.16/0.48 % (30765)Instruction limit reached!
% 0.16/0.48 % (30765)------------------------------
% 0.16/0.48 % (30765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (30765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (30765)Termination reason: Unknown
% 0.16/0.48 % (30765)Termination phase: Saturation
% 0.16/0.48
% 0.16/0.48 % (30765)Memory used [KB]: 5500
% 0.16/0.48 % (30765)Time elapsed: 0.109 s
% 0.16/0.48 % (30765)Instructions burned: 8 (million)
% 0.16/0.48 % (30765)------------------------------
% 0.16/0.48 % (30765)------------------------------
% 0.16/0.48 % (30780)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.48 TRYING [4]
% 0.16/0.50 % (30773)First to succeed.
% 0.16/0.51 % (30773)Refutation found. Thanks to Tanya!
% 0.16/0.51 % SZS status Theorem for theBenchmark
% 0.16/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.51 % (30773)------------------------------
% 0.16/0.51 % (30773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (30773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (30773)Termination reason: Refutation
% 0.16/0.51
% 0.16/0.51 % (30773)Memory used [KB]: 1151
% 0.16/0.51 % (30773)Time elapsed: 0.133 s
% 0.16/0.51 % (30773)Instructions burned: 14 (million)
% 0.16/0.51 % (30773)------------------------------
% 0.16/0.51 % (30773)------------------------------
% 0.16/0.51 % (30757)Success in time 0.191 s
%------------------------------------------------------------------------------