TSTP Solution File: NUM457+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM457+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --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 17:59:43 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 79 ( 49 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 90 ( 38 ~; 35 |; 10 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f385,plain,
$false,
inference(subsumption_resolution,[],[f384,f97]) ).
fof(f97,plain,
sz00 = sdtasdt0(sz00,xn),
inference(resolution,[],[f72,f85]) ).
fof(f85,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f72,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__624) ).
fof(f384,plain,
sz00 != sdtasdt0(sz00,xn),
inference(subsumption_resolution,[],[f378,f63]) ).
fof(f63,plain,
sz00 != xm,
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( sz00 != xm
& sz00 = sdtasdt0(xm,xn)
& sz00 != xn ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
( sz00 != xm
& sz00 != xn
& sz00 = sdtasdt0(xm,xn) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( sz00 = sdtasdt0(xm,xn)
=> ( sz00 = xm
| sz00 = xn ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( sz00 = sdtasdt0(xm,xn)
=> ( sz00 = xm
| sz00 = xn ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f378,plain,
( sz00 = xm
| sz00 != sdtasdt0(sz00,xn) ),
inference(resolution,[],[f117,f65]) ).
fof(f65,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f117,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| sz00 != sdtasdt0(X1,xn)
| xm = X1 ),
inference(subsumption_resolution,[],[f116,f73]) ).
fof(f73,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f17]) ).
fof(f116,plain,
! [X1] :
( sz00 != sdtasdt0(X1,xn)
| xm = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xm) ),
inference(subsumption_resolution,[],[f115,f61]) ).
fof(f61,plain,
sz00 != xn,
inference(cnf_transformation,[],[f52]) ).
fof(f115,plain,
! [X1] :
( sz00 = xn
| sz00 != sdtasdt0(X1,xn)
| xm = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xm) ),
inference(subsumption_resolution,[],[f111,f72]) ).
fof(f111,plain,
! [X1] :
( xm = X1
| ~ aNaturalNumber0(xn)
| sz00 = xn
| ~ aNaturalNumber0(X1)
| sz00 != sdtasdt0(X1,xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f69,f62]) ).
fof(f62,plain,
sz00 = sdtasdt0(xm,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f69,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X1 = X2
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( sz00 = X0
| ! [X1,X2] :
( ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 != X0
=> ! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2)
| sdtasdt0(X1,X0) = sdtasdt0(X2,X0) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM457+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 06:35:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.48 % (27791)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.48 % (27769)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.49 % (27783)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.49 % (27769)Instruction limit reached!
% 0.19/0.49 % (27769)------------------------------
% 0.19/0.49 % (27769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (27777)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50 % (27783)Instruction limit reached!
% 0.19/0.50 % (27783)------------------------------
% 0.19/0.50 % (27783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (27783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (27783)Termination reason: Unknown
% 0.19/0.51 % (27783)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (27783)Memory used [KB]: 5884
% 0.19/0.51 % (27783)Time elapsed: 0.003 s
% 0.19/0.51 % (27783)Instructions burned: 3 (million)
% 0.19/0.51 % (27783)------------------------------
% 0.19/0.51 % (27783)------------------------------
% 0.19/0.51 % (27769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (27769)Termination reason: Unknown
% 0.19/0.51 % (27769)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (27769)Memory used [KB]: 6140
% 0.19/0.51 % (27769)Time elapsed: 0.104 s
% 0.19/0.51 % (27769)Instructions burned: 15 (million)
% 0.19/0.51 % (27769)------------------------------
% 0.19/0.51 % (27769)------------------------------
% 0.19/0.51 % (27777)Refutation not found, incomplete strategy% (27777)------------------------------
% 0.19/0.51 % (27777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (27777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (27777)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (27777)Memory used [KB]: 1407
% 0.19/0.51 % (27777)Time elapsed: 0.123 s
% 0.19/0.51 % (27777)Instructions burned: 2 (million)
% 0.19/0.51 % (27777)------------------------------
% 0.19/0.51 % (27777)------------------------------
% 0.19/0.51 % (27770)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51 % (27773)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (27765)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (27774)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.52 % (27788)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.52 % (27779)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (27787)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.53 % (27766)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53 % (27786)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (27780)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (27770)First to succeed.
% 0.19/0.53 % (27770)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (27770)------------------------------
% 0.19/0.53 % (27770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (27770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (27770)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (27770)Memory used [KB]: 1535
% 0.19/0.53 % (27770)Time elapsed: 0.116 s
% 0.19/0.53 % (27770)Instructions burned: 11 (million)
% 0.19/0.53 % (27770)------------------------------
% 0.19/0.53 % (27770)------------------------------
% 0.19/0.53 % (27764)Success in time 0.177 s
%------------------------------------------------------------------------------