TSTP Solution File: NUM841+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM841+1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n011.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 18:02:32 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 20 unt; 0 def)
% Number of atoms : 54 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 16 ~; 12 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f307,plain,
$false,
inference(unit_resulting_resolution,[],[f174,f216,f218,f114]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ less(X2,X1)
| ~ less(X0,X2)
| less(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ less(X0,X2)
| ~ less(X2,X1)
| less(X0,X1) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X1,X0,X2] :
( ~ less(X1,X2)
| ~ less(X2,X0)
| less(X1,X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X1,X0,X2] :
( less(X1,X0)
| ~ less(X1,X2)
| ~ less(X2,X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
! [X1,X0,X2] :
( ( less(X1,X2)
& less(X2,X0) )
=> less(X1,X0) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X16,X14,X15] :
( ( less(X15,X16)
& less(X14,X15) )
=> less(X14,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
fof(f218,plain,
less(vplus(vd347,vd345),vplus(vd344,vd347)),
inference(unit_resulting_resolution,[],[f153,f134]) ).
fof(f134,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| less(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( less(X0,X1)
| ~ greater(X1,X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( greater(X1,X0)
=> less(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X28,X27] :
( greater(X27,X28)
=> less(X28,X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f153,plain,
greater(vplus(vd344,vd347),vplus(vd347,vd345)),
inference(forward_demodulation,[],[f137,f142]) ).
fof(f142,plain,
vplus(vd347,vd345) = vplus(vd345,vd347),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
vplus(vd347,vd345) = vplus(vd345,vd347),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(213, 351, 0)') ).
fof(f137,plain,
greater(vplus(vd344,vd347),vplus(vd345,vd347)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
greater(vplus(vd344,vd347),vplus(vd345,vd347)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(212, 350, 0)') ).
fof(f216,plain,
less(vplus(vd345,vd348),vplus(vd347,vd345)),
inference(unit_resulting_resolution,[],[f152,f134]) ).
fof(f152,plain,
greater(vplus(vd347,vd345),vplus(vd345,vd348)),
inference(forward_demodulation,[],[f132,f133]) ).
fof(f133,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X1,X0] : vplus(X1,X0) = vplus(X0,X1),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X46,X47] : vplus(X47,X46) = vplus(X46,X47),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f132,plain,
greater(vplus(vd347,vd345),vplus(vd348,vd345)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
greater(vplus(vd347,vd345),vplus(vd348,vd345)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(213, 351, 1)') ).
fof(f174,plain,
~ less(vplus(vd345,vd348),vplus(vd344,vd347)),
inference(unit_resulting_resolution,[],[f141,f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ less(X1,X0)
| greater(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ less(X1,X0)
| greater(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( less(X1,X0)
=> greater(X0,X1) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X26,X25] :
( less(X25,X26)
=> greater(X26,X25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f141,plain,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
greater(vplus(vd344,vd347),vplus(vd345,vd348)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(214, 352, 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM841+1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13 % 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 : n011.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 08:58:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (8589)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 % (8597)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (8586)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)
% 0.19/0.52 % (8581)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 % (8595)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)
% 0.19/0.52 % (8610)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.52 % (8582)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)
% 0.19/0.52 % (8605)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (8582)Refutation not found, incomplete strategy% (8582)------------------------------
% 0.19/0.52 % (8582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8582)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (8582)Memory used [KB]: 6012
% 0.19/0.52 % (8582)Time elapsed: 0.123 s
% 0.19/0.52 % (8582)Instructions burned: 3 (million)
% 0.19/0.52 % (8582)------------------------------
% 0.19/0.52 % (8582)------------------------------
% 0.19/0.52 % (8585)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)
% 0.19/0.52 % (8583)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (8583)Instruction limit reached!
% 0.19/0.53 % (8583)------------------------------
% 0.19/0.53 % (8583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (8583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (8583)Termination reason: Unknown
% 0.19/0.53 % (8583)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (8583)Memory used [KB]: 1535
% 0.19/0.53 % (8583)Time elapsed: 0.002 s
% 0.19/0.53 % (8583)Instructions burned: 3 (million)
% 0.19/0.53 % (8583)------------------------------
% 0.19/0.53 % (8583)------------------------------
% 0.19/0.53 % (8603)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 % (8606)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.53 % (8584)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (8594)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (8602)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 % (8596)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 % (8595)Instruction limit reached!
% 0.19/0.53 % (8595)------------------------------
% 0.19/0.53 % (8595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (8595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (8595)Termination reason: Unknown
% 0.19/0.53 % (8595)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (8595)Memory used [KB]: 6012
% 0.19/0.53 % (8595)Time elapsed: 0.005 s
% 0.19/0.53 % (8595)Instructions burned: 4 (million)
% 0.19/0.53 % (8595)------------------------------
% 0.19/0.53 % (8595)------------------------------
% 0.19/0.53 % (8590)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)
% 0.19/0.53 % (8594)First to succeed.
% 0.19/0.53 % (8608)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (8601)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.54 % (8594)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (8594)------------------------------
% 0.19/0.54 % (8594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (8594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (8594)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (8594)Memory used [KB]: 6140
% 0.19/0.54 % (8594)Time elapsed: 0.133 s
% 0.19/0.54 % (8594)Instructions burned: 8 (million)
% 0.19/0.54 % (8594)------------------------------
% 0.19/0.54 % (8594)------------------------------
% 0.19/0.54 % (8580)Success in time 0.191 s
%------------------------------------------------------------------------------