TSTP Solution File: LCL902+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL902+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 : n009.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 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 67 ( 43 unt; 0 def)
% Number of atoms : 100 ( 34 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 64 ( 31 ~; 22 |; 4 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 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 : 81 ( 79 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f468,plain,
$false,
inference(subsumption_resolution,[],[f467,f338]) ).
fof(f338,plain,
~ '>='(sK0,sF2),
inference(subsumption_resolution,[],[f336,f58]) ).
fof(f58,plain,
sF2 != sK0,
inference(definition_folding,[],[f44,f57,f56]) ).
fof(f56,plain,
'==>'(sK0,'1') = sF1,
introduced(function_definition,[]) ).
fof(f57,plain,
sF2 = '==>'(sF1,'1'),
introduced(function_definition,[]) ).
fof(f44,plain,
'==>'('==>'(sK0,'1'),'1') != sK0,
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
'==>'('==>'(sK0,'1'),'1') != sK0,
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f29,f34]) ).
fof(f34,plain,
( ? [X0] : '==>'('==>'(X0,'1'),'1') != X0
=> '==>'('==>'(sK0,'1'),'1') != sK0 ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0] : '==>'('==>'(X0,'1'),'1') != X0,
inference(ennf_transformation,[],[f21]) ).
fof(f21,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(f336,plain,
( sF2 = sK0
| ~ '>='(sK0,sF2) ),
inference(resolution,[],[f330,f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ '>='(X1,X0)
| X0 = X1
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ~ '>='(X1,X0)
| X0 = X1
| ~ '>='(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X0] :
( ( '>='(X0,X1)
& '>='(X1,X0) )
=> X0 = X1 ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X7,X6] :
( ( '>='(X7,X6)
& '>='(X6,X7) )
=> X6 = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(f330,plain,
'>='(sF2,sK0),
inference(superposition,[],[f147,f326]) ).
fof(f326,plain,
'==>'(sF1,sK0) = sK0,
inference(subsumption_resolution,[],[f324,f239]) ).
fof(f239,plain,
! [X0,X1] : '>='(X0,'==>'(X1,X0)),
inference(resolution,[],[f219,f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ '>='('+'(X1,X0),X2)
| '>='(X0,'==>'(X1,X2)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( '>='(X0,'==>'(X1,X2))
| ~ '>='('+'(X1,X0),X2) )
& ( '>='('+'(X1,X0),X2)
| ~ '>='(X0,'==>'(X1,X2)) ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ( '>='(X2,'==>'(X0,X1))
| ~ '>='('+'(X0,X2),X1) )
& ( '>='('+'(X0,X2),X1)
| ~ '>='(X2,'==>'(X0,X1)) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X0,X1] :
( '>='(X2,'==>'(X0,X1))
<=> '>='('+'(X0,X2),X1) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X8,X10,X9] :
( '>='(X9,'==>'(X8,X10))
<=> '>='('+'(X8,X9),X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(f219,plain,
! [X10,X11] : '>='('+'(X11,X10),X10),
inference(subsumption_resolution,[],[f213,f50]) ).
fof(f50,plain,
! [X0] : '>='(X0,'0'),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : '>='(X0,'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(f213,plain,
! [X10,X11] :
( ~ '>='(X11,'0')
| '>='('+'(X11,X10),X10) ),
inference(superposition,[],[f46,f60]) ).
fof(f60,plain,
! [X1] : '+'('0',X1) = X1,
inference(superposition,[],[f49,f47]) ).
fof(f47,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(f49,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(f46,plain,
! [X2,X0,X1] :
( '>='('+'(X2,X1),'+'(X0,X1))
| ~ '>='(X2,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ '>='(X2,X0)
| '>='('+'(X2,X1),'+'(X0,X1)) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X1,X0,X2] :
( ~ '>='(X2,X1)
| '>='('+'(X2,X0),'+'(X1,X0)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X2,X0,X1] :
( '>='(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(f324,plain,
( '==>'(sF1,sK0) = sK0
| ~ '>='(sK0,'==>'(sF1,sK0)) ),
inference(resolution,[],[f320,f55]) ).
fof(f320,plain,
'>='('==>'(sF1,sK0),sK0),
inference(superposition,[],[f90,f47]) ).
fof(f90,plain,
! [X4] : '>='('+'('==>'(sF1,sK0),X4),sK0),
inference(subsumption_resolution,[],[f88,f50]) ).
fof(f88,plain,
! [X4] :
( ~ '>='(X4,'0')
| '>='('+'('==>'(sF1,sK0),X4),sK0) ),
inference(superposition,[],[f42,f71]) ).
fof(f71,plain,
'0' = '==>'('==>'(sF1,sK0),sK0),
inference(superposition,[],[f45,f56]) ).
fof(f45,plain,
! [X0] : '0' = '==>'('==>'('==>'(X0,'1'),X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] : '0' = '==>'('==>'('==>'(X0,'1'),X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ '>='(X0,'==>'(X1,X2))
| '>='('+'(X1,X0),X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f147,plain,
! [X0] : '>='(sF2,'==>'(sF1,X0)),
inference(subsumption_resolution,[],[f146,f121]) ).
fof(f121,plain,
! [X5] : '>='('1',X5),
inference(superposition,[],[f84,f65]) ).
fof(f65,plain,
! [X0] : '1' = '+'('1',X0),
inference(superposition,[],[f41,f49]) ).
fof(f41,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(f84,plain,
! [X0,X1] : '>='('+'(X0,'==>'(X0,X1)),X1),
inference(resolution,[],[f42,f51]) ).
fof(f51,plain,
! [X0] : '>='(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : '>='(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f146,plain,
! [X0] :
( ~ '>='('1',X0)
| '>='(sF2,'==>'(sF1,X0)) ),
inference(superposition,[],[f43,f136]) ).
fof(f136,plain,
'1' = '+'(sF1,sF2),
inference(subsumption_resolution,[],[f133,f121]) ).
fof(f133,plain,
( '1' = '+'(sF1,sF2)
| ~ '>='('1','+'(sF1,sF2)) ),
inference(resolution,[],[f117,f55]) ).
fof(f117,plain,
'>='('+'(sF1,sF2),'1'),
inference(superposition,[],[f84,f57]) ).
fof(f467,plain,
'>='(sK0,sF2),
inference(forward_demodulation,[],[f461,f57]) ).
fof(f461,plain,
'>='(sK0,'==>'(sF1,'1')),
inference(superposition,[],[f189,f130]) ).
fof(f130,plain,
'1' = '+'(sK0,sF1),
inference(subsumption_resolution,[],[f127,f121]) ).
fof(f127,plain,
( ~ '>='('1','+'(sK0,sF1))
| '1' = '+'(sK0,sF1) ),
inference(resolution,[],[f116,f55]) ).
fof(f116,plain,
'>='('+'(sK0,sF1),'1'),
inference(superposition,[],[f84,f56]) ).
fof(f189,plain,
! [X2,X3] : '>='(X3,'==>'(X2,'+'(X3,X2))),
inference(superposition,[],[f94,f49]) ).
fof(f94,plain,
! [X2,X3] : '>='(X2,'==>'(X3,'+'(X3,X2))),
inference(resolution,[],[f43,f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL902+1 : TPTP v8.1.0. Released v5.5.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 02:50:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % (4569)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.49 TRYING [1]
% 0.19/0.49 TRYING [2]
% 0.19/0.49 TRYING [3]
% 0.19/0.49 TRYING [4]
% 0.19/0.50 % (4577)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (4580)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (4582)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (4579)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (4583)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)
% 0.19/0.50 % (4585)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (4595)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)
% 0.19/0.51 % (4570)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (4592)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)
% 0.19/0.51 % (4588)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (4572)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (4577)Instruction limit reached!
% 0.19/0.51 % (4577)------------------------------
% 0.19/0.51 % (4577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (4577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (4577)Termination reason: Unknown
% 0.19/0.51 % (4577)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (4577)Memory used [KB]: 5373
% 0.19/0.51 % (4577)Time elapsed: 0.124 s
% 0.19/0.51 % (4577)Instructions burned: 3 (million)
% 0.19/0.51 % (4577)------------------------------
% 0.19/0.51 % (4577)------------------------------
% 0.19/0.51 % (4571)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51 % (4574)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 % (4576)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (4578)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (4584)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)
% 0.19/0.52 % (4573)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (4575)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)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (4581)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (4582)First to succeed.
% 0.19/0.53 % (4590)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (4594)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (4586)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (4596)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53 % (4597)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 TRYING [5]
% 0.19/0.53 % (4598)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53 % (4593)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (4587)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (4576)Instruction limit reached!
% 0.19/0.54 % (4576)------------------------------
% 0.19/0.54 % (4576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (4576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (4576)Termination reason: Unknown
% 0.19/0.54 % (4576)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (4576)Memory used [KB]: 5500
% 0.19/0.54 % (4576)Time elapsed: 0.083 s
% 0.19/0.54 % (4576)Instructions burned: 8 (million)
% 0.19/0.54 % (4576)------------------------------
% 0.19/0.54 % (4576)------------------------------
% 0.19/0.54 % (4591)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)
% 0.19/0.54 % (4589)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54 TRYING [3]
% 0.19/0.55 TRYING [4]
% 0.19/0.55 % (4582)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Theorem for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (4582)------------------------------
% 0.19/0.55 % (4582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (4582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (4582)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (4582)Memory used [KB]: 5628
% 0.19/0.55 % (4582)Time elapsed: 0.135 s
% 0.19/0.55 % (4582)Instructions burned: 13 (million)
% 0.19/0.55 % (4582)------------------------------
% 0.19/0.55 % (4582)------------------------------
% 0.19/0.55 % (4568)Success in time 0.205 s
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