TSTP Solution File: NUM855+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM855+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 : n016.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 18:02:36 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 17 unt; 0 def)
% Number of atoms : 53 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 17 ~; 13 |; 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(f421,plain,
$false,
inference(unit_resulting_resolution,[],[f275,f342,f340,f201]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ less(X2,X0)
| ~ less(X1,X2)
| less(X1,X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2] :
( ~ less(X2,X0)
| less(X1,X0)
| ~ less(X1,X2) ),
inference(rectify,[],[f132]) ).
fof(f132,plain,
! [X1,X2,X0] :
( ~ less(X0,X1)
| less(X2,X1)
| ~ less(X2,X0) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1,X2] :
( less(X2,X1)
| ~ less(X2,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( less(X2,X0)
& less(X0,X1) )
=> less(X2,X1) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X61,X62,X60] :
( ( less(X61,X62)
& less(X60,X61) )
=> less(X60,X62) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
fof(f340,plain,
less(vmul(vd511,vd509),vmul(vd508,vd511)),
inference(unit_resulting_resolution,[],[f252,f187]) ).
fof(f187,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| less(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| less(X0,X1) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( greater(X1,X0)
=> less(X0,X1) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X74,X73] :
( greater(X73,X74)
=> less(X74,X73) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f252,plain,
greater(vmul(vd508,vd511),vmul(vd511,vd509)),
inference(forward_demodulation,[],[f207,f189]) ).
fof(f189,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X23,X22] : vmul(X22,X23) = vmul(X23,X22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f207,plain,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(315), 514, 0)') ).
fof(f342,plain,
less(vmul(vd509,vd512),vmul(vd511,vd509)),
inference(unit_resulting_resolution,[],[f253,f187]) ).
fof(f253,plain,
greater(vmul(vd511,vd509),vmul(vd509,vd512)),
inference(forward_demodulation,[],[f202,f189]) ).
fof(f202,plain,
greater(vmul(vd511,vd509),vmul(vd512,vd509)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
greater(vmul(vd511,vd509),vmul(vd512,vd509)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(315), 515, 1)') ).
fof(f275,plain,
~ less(vmul(vd509,vd512),vmul(vd508,vd511)),
inference(unit_resulting_resolution,[],[f226,f181]) ).
fof(f181,plain,
! [X0,X1] :
( ~ less(X1,X0)
| greater(X0,X1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( ~ less(X1,X0)
| greater(X0,X1) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
! [X1,X0] :
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X1,X0] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X71,X72] :
( less(X71,X72)
=> greater(X72,X71) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f226,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
greater(vmul(vd508,vd511),vmul(vd509,vd512)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq_conjunct2(315), 516, 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM855+1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 09:27:30 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.48 % (5337)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)
% 0.20/0.49 % (5328)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.49 % (5345)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)
% 0.20/0.49 % (5337)Instruction limit reached!
% 0.20/0.49 % (5337)------------------------------
% 0.20/0.49 % (5337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (5337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (5337)Termination reason: Unknown
% 0.20/0.49 % (5337)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (5337)Memory used [KB]: 6140
% 0.20/0.49 % (5337)Time elapsed: 0.076 s
% 0.20/0.49 % (5337)Instructions burned: 8 (million)
% 0.20/0.49 % (5337)------------------------------
% 0.20/0.49 % (5337)------------------------------
% 0.20/0.49 % (5345)Refutation not found, incomplete strategy% (5345)------------------------------
% 0.20/0.49 % (5345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (5345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (5345)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (5345)Memory used [KB]: 1663
% 0.20/0.49 % (5345)Time elapsed: 0.088 s
% 0.20/0.49 % (5345)Instructions burned: 4 (million)
% 0.20/0.49 % (5345)------------------------------
% 0.20/0.49 % (5345)------------------------------
% 0.20/0.50 % (5350)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.50 % (5335)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)
% 0.20/0.50 % (5324)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)
% 0.20/0.50 % (5323)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)
% 0.20/0.50 % (5323)Instruction limit reached!
% 0.20/0.50 % (5323)------------------------------
% 0.20/0.50 % (5323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (5323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (5323)Termination reason: Unknown
% 0.20/0.50 % (5323)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (5323)Memory used [KB]: 1535
% 0.20/0.50 % (5323)Time elapsed: 0.003 s
% 0.20/0.50 % (5323)Instructions burned: 4 (million)
% 0.20/0.50 % (5323)------------------------------
% 0.20/0.50 % (5323)------------------------------
% 0.20/0.50 % (5350)Refutation not found, incomplete strategy% (5350)------------------------------
% 0.20/0.50 % (5350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (5350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (5350)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (5350)Memory used [KB]: 6140
% 0.20/0.50 % (5350)Time elapsed: 0.095 s
% 0.20/0.50 % (5350)Instructions burned: 4 (million)
% 0.20/0.50 % (5350)------------------------------
% 0.20/0.50 % (5350)------------------------------
% 0.20/0.50 % (5322)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)
% 0.20/0.51 % (5333)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (5341)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.51 % (5325)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)
% 0.20/0.52 % (5327)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52 % (5342)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)
% 0.20/0.52 % (5343)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)
% 0.20/0.52 % (5321)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (5348)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)
% 0.20/0.52 % (5326)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)
% 0.20/0.52 % (5333)Instruction limit reached!
% 0.20/0.52 % (5333)------------------------------
% 0.20/0.52 % (5333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (5344)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)
% 0.20/0.52 % (5333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (5351)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)
% 0.20/0.52 % (5333)Termination reason: Unknown
% 0.20/0.52 % (5336)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)
% 0.20/0.52 % (5333)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (5333)Memory used [KB]: 6140
% 0.20/0.52 % (5333)Time elapsed: 0.137 s
% 0.20/0.52 % (5333)Instructions burned: 7 (million)
% 0.20/0.52 % (5333)------------------------------
% 0.20/0.52 % (5333)------------------------------
% 0.20/0.52 % (5335)First to succeed.
% 0.20/0.52 % (5336)Instruction limit reached!
% 0.20/0.52 % (5336)------------------------------
% 0.20/0.52 % (5336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (5336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (5336)Termination reason: Unknown
% 0.20/0.52 % (5336)Termination phase: Function definition elimination
% 0.20/0.52
% 0.20/0.52 % (5336)Memory used [KB]: 1535
% 0.20/0.52 % (5336)Time elapsed: 0.003 s
% 0.20/0.52 % (5336)Instructions burned: 3 (million)
% 0.20/0.52 % (5336)------------------------------
% 0.20/0.52 % (5336)------------------------------
% 0.20/0.53 % (5335)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (5335)------------------------------
% 0.20/0.53 % (5335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5335)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (5335)Memory used [KB]: 6268
% 0.20/0.53 % (5335)Time elapsed: 0.139 s
% 0.20/0.53 % (5335)Instructions burned: 11 (million)
% 0.20/0.53 % (5335)------------------------------
% 0.20/0.53 % (5335)------------------------------
% 0.20/0.53 % (5317)Success in time 0.182 s
%------------------------------------------------------------------------------