TSTP Solution File: SET825-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET825-1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n007.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 18:25:45 EDT 2022
% Result : Unsatisfiable 2.31s 0.71s
% Output : Refutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 42 ( 16 unt; 0 def)
% Number of atoms : 74 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 21 ~; 30 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-4 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2340,plain,
$false,
inference(avatar_sat_refutation,[],[f2222,f2326,f2339]) ).
fof(f2339,plain,
~ spl7_10,
inference(avatar_contradiction_clause,[],[f2338]) ).
fof(f2338,plain,
( $false
| ~ spl7_10 ),
inference(subsumption_resolution,[],[f2332,f1358]) ).
fof(f1358,axiom,
v_Q(v_n),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2332,plain,
( ~ v_Q(v_n)
| ~ spl7_10 ),
inference(superposition,[],[f1359,f2217]) ).
fof(f2217,plain,
( v_n = v_m
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f2215]) ).
fof(f2215,plain,
( spl7_10
<=> v_n = v_m ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
fof(f1359,axiom,
~ v_Q(v_m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f2326,plain,
spl7_11,
inference(avatar_contradiction_clause,[],[f2325]) ).
fof(f2325,plain,
( $false
| spl7_11 ),
inference(subsumption_resolution,[],[f2324,f2221]) ).
fof(f2221,plain,
( ~ c_in(sF3,c_Relation_OId,sF1)
| spl7_11 ),
inference(avatar_component_clause,[],[f2219]) ).
fof(f2219,plain,
( spl7_11
<=> c_in(sF3,c_Relation_OId,sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).
fof(f2324,plain,
( c_in(sF3,c_Relation_OId,sF1)
| spl7_11 ),
inference(subsumption_resolution,[],[f2323,f1834]) ).
fof(f1834,plain,
c_in(sF0,c_Relation_OId,sF1),
inference(forward_demodulation,[],[f1832,f1363]) ).
fof(f1363,plain,
tc_prod(tc_nat,tc_nat) = sF1,
introduced(function_definition,[]) ).
fof(f1832,plain,
c_in(sF0,c_Relation_OId,tc_prod(tc_nat,tc_nat)),
inference(superposition,[],[f126,f1362]) ).
fof(f1362,plain,
c_Pair(c_0,c_0,tc_nat,tc_nat) = sF0,
introduced(function_definition,[]) ).
fof(f126,axiom,
! [X2,X4] : c_in(c_Pair(X4,X4,X2,X2),c_Relation_OId,tc_prod(X2,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OIdI_0) ).
fof(f2323,plain,
( ~ c_in(sF0,c_Relation_OId,sF1)
| c_in(sF3,c_Relation_OId,sF1)
| spl7_11 ),
inference(resolution,[],[f2316,f1370]) ).
fof(f1370,plain,
! [X41] :
( ~ c_in(sF6(X41),X41,sF1)
| c_in(sF3,X41,sF1)
| ~ c_in(sF0,X41,sF1) ),
inference(definition_folding,[],[f1361,f1363,f1362,f1363,f1365,f1363,f1369,f1368,f1367]) ).
fof(f1367,plain,
! [X41] : c_Suc(v_x(X41)) = sF4(X41),
introduced(function_definition,[]) ).
fof(f1368,plain,
! [X41] : c_Suc(v_xa(X41)) = sF5(X41),
introduced(function_definition,[]) ).
fof(f1369,plain,
! [X41] : sF6(X41) = c_Pair(sF4(X41),sF5(X41),tc_nat,tc_nat),
introduced(function_definition,[]) ).
fof(f1365,plain,
c_Pair(v_n,v_m,tc_nat,tc_nat) = sF3,
introduced(function_definition,[]) ).
fof(f1361,axiom,
! [X41] :
( ~ c_in(c_Pair(c_Suc(v_x(X41)),c_Suc(v_xa(X41)),tc_nat,tc_nat),X41,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X41,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X41,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f2316,plain,
( c_in(sF6(c_Relation_OId),c_Relation_OId,sF1)
| spl7_11 ),
inference(superposition,[],[f1833,f2244]) ).
fof(f2244,plain,
( c_Pair(sF4(c_Relation_OId),sF4(c_Relation_OId),tc_nat,tc_nat) = sF6(c_Relation_OId)
| spl7_11 ),
inference(superposition,[],[f1369,f2243]) ).
fof(f2243,plain,
( sF4(c_Relation_OId) = sF5(c_Relation_OId)
| spl7_11 ),
inference(forward_demodulation,[],[f2227,f1367]) ).
fof(f2227,plain,
( c_Suc(v_x(c_Relation_OId)) = sF5(c_Relation_OId)
| spl7_11 ),
inference(superposition,[],[f1368,f2225]) ).
fof(f2225,plain,
( v_x(c_Relation_OId) = v_xa(c_Relation_OId)
| spl7_11 ),
inference(subsumption_resolution,[],[f2224,f2221]) ).
fof(f2224,plain,
( c_in(sF3,c_Relation_OId,sF1)
| v_x(c_Relation_OId) = v_xa(c_Relation_OId) ),
inference(subsumption_resolution,[],[f2223,f1834]) ).
fof(f2223,plain,
( v_x(c_Relation_OId) = v_xa(c_Relation_OId)
| ~ c_in(sF0,c_Relation_OId,sF1)
| c_in(sF3,c_Relation_OId,sF1) ),
inference(resolution,[],[f2212,f1366]) ).
fof(f1366,plain,
! [X41] :
( c_in(sF2(X41),X41,sF1)
| ~ c_in(sF0,X41,sF1)
| c_in(sF3,X41,sF1) ),
inference(definition_folding,[],[f1360,f1363,f1365,f1363,f1364,f1363,f1362]) ).
fof(f1364,plain,
! [X41] : c_Pair(v_x(X41),v_xa(X41),tc_nat,tc_nat) = sF2(X41),
introduced(function_definition,[]) ).
fof(f1360,axiom,
! [X41] :
( ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X41,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_x(X41),v_xa(X41),tc_nat,tc_nat),X41,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X41,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f2212,plain,
! [X0] :
( ~ c_in(sF2(X0),c_Relation_OId,sF1)
| v_xa(X0) = v_x(X0) ),
inference(forward_demodulation,[],[f2208,f1363]) ).
fof(f2208,plain,
! [X0] :
( v_xa(X0) = v_x(X0)
| ~ c_in(sF2(X0),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
inference(superposition,[],[f131,f1364]) ).
fof(f131,axiom,
! [X2,X6,X4] :
( ~ c_in(c_Pair(X4,X6,X2,X2),c_Relation_OId,tc_prod(X2,X2))
| X4 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Opair__in__Id__conv__iff1_0) ).
fof(f1833,plain,
! [X0] : c_in(c_Pair(X0,X0,tc_nat,tc_nat),c_Relation_OId,sF1),
inference(superposition,[],[f126,f1363]) ).
fof(f2222,plain,
( spl7_10
| ~ spl7_11 ),
inference(avatar_split_clause,[],[f2213,f2219,f2215]) ).
fof(f2213,plain,
( ~ c_in(sF3,c_Relation_OId,sF1)
| v_n = v_m ),
inference(forward_demodulation,[],[f2207,f1363]) ).
fof(f2207,plain,
( ~ c_in(sF3,c_Relation_OId,tc_prod(tc_nat,tc_nat))
| v_n = v_m ),
inference(superposition,[],[f131,f1365]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET825-1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n007.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 : Tue Aug 30 14:06:16 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.59 % (6495)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)
% 0.20/0.59 % (6501)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)
% 0.20/0.59 % (6503)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.59 % (6503)Instruction limit reached!
% 0.20/0.59 % (6503)------------------------------
% 0.20/0.59 % (6503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (6503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (6503)Termination reason: Unknown
% 0.20/0.59 % (6503)Termination phase: shuffling
% 0.20/0.59
% 0.20/0.59 % (6503)Memory used [KB]: 1791
% 0.20/0.59 % (6503)Time elapsed: 0.004 s
% 0.20/0.59 % (6503)Instructions burned: 2 (million)
% 0.20/0.59 % (6503)------------------------------
% 0.20/0.59 % (6503)------------------------------
% 1.35/0.60 % (6509)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)
% 1.35/0.61 % (6511)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)
% 1.35/0.61 % (6517)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)
% 1.86/0.62 % (6500)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)
% 1.86/0.63 % (6499)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.86/0.63 % (6518)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)
% 1.86/0.64 % (6506)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)
% 1.86/0.64 % (6498)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)
% 1.86/0.64 % (6497)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)
% 1.86/0.64 % (6510)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)
% 1.86/0.65 % (6523)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.86/0.65 % (6524)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)
% 1.86/0.65 % (6519)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.86/0.65 % (6513)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.86/0.65 % (6521)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)
% 1.86/0.66 % (6516)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.86/0.66 % (6520)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.86/0.66 % (6522)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)
% 1.86/0.66 % (6515)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)
% 1.86/0.66 % (6504)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)
% 1.86/0.67 % (6508)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.86/0.67 % (6507)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.86/0.67 % (6496)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)
% 1.86/0.67 % (6505)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.86/0.67 % (6514)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)
% 1.86/0.67 % (6501)Instruction limit reached!
% 1.86/0.67 % (6501)------------------------------
% 1.86/0.67 % (6501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.67 % (6501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.67 % (6501)Termination reason: Unknown
% 1.86/0.67 % (6501)Termination phase: Finite model building preprocessing
% 1.86/0.67
% 1.86/0.67 % (6501)Memory used [KB]: 3070
% 1.86/0.67 % (6501)Time elapsed: 0.037 s
% 1.86/0.67 % (6501)Instructions burned: 52 (million)
% 1.86/0.67 % (6501)------------------------------
% 1.86/0.67 % (6501)------------------------------
% 1.86/0.68 % (6502)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.31/0.68 % (6502)Instruction limit reached!
% 2.31/0.68 % (6502)------------------------------
% 2.31/0.68 % (6502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.68 % (6502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.68 % (6502)Termination reason: Unknown
% 2.31/0.68 % (6502)Termination phase: Saturation
% 2.31/0.68
% 2.31/0.68 % (6502)Memory used [KB]: 6652
% 2.31/0.68 % (6502)Time elapsed: 0.006 s
% 2.31/0.68 % (6502)Instructions burned: 8 (million)
% 2.31/0.68 % (6502)------------------------------
% 2.31/0.68 % (6502)------------------------------
% 2.31/0.69 % (6512)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.31/0.70 TRYING [1]
% 2.31/0.71 % (6520)First to succeed.
% 2.31/0.71 % (6520)Refutation found. Thanks to Tanya!
% 2.31/0.71 % SZS status Unsatisfiable for theBenchmark
% 2.31/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.31/0.71 % (6520)------------------------------
% 2.31/0.71 % (6520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.71 % (6520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.71 % (6520)Termination reason: Refutation
% 2.31/0.71
% 2.31/0.71 % (6520)Memory used [KB]: 7291
% 2.31/0.71 % (6520)Time elapsed: 0.260 s
% 2.31/0.71 % (6520)Instructions burned: 53 (million)
% 2.31/0.71 % (6520)------------------------------
% 2.31/0.71 % (6520)------------------------------
% 2.31/0.71 % (6494)Success in time 0.352 s
%------------------------------------------------------------------------------