TSTP Solution File: NUM857+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM857+2 : 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 : n001.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 18:02:37 EDT 2022
% Result : Theorem 1.50s 0.57s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 22 unt; 0 def)
% Number of atoms : 73 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 69 ( 31 ~; 24 |; 10 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f417,plain,
$false,
inference(subsumption_resolution,[],[f416,f301]) ).
fof(f301,plain,
! [X1] : geq(X1,X1),
inference(equality_resolution,[],[f278]) ).
fof(f278,plain,
! [X0,X1] :
( geq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0,X1] :
( ( greater(X0,X1)
| X0 = X1
| ~ geq(X0,X1) )
& ( geq(X0,X1)
| ( ~ greater(X0,X1)
& X0 != X1 ) ) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0,X1] :
( ( greater(X0,X1)
| X0 = X1
| ~ geq(X0,X1) )
& ( geq(X0,X1)
| ( ~ greater(X0,X1)
& X0 != X1 ) ) ),
inference(nnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ( greater(X0,X1)
| X0 = X1 )
<=> geq(X0,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X78,X77] :
( ( greater(X78,X77)
| X77 = X78 )
<=> geq(X78,X77) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof(f416,plain,
~ geq(vmul(vd526,vd529),vmul(vd526,vd529)),
inference(forward_demodulation,[],[f406,f269]) ).
fof(f269,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X31,X30] : vmul(X30,X31) = vmul(X31,X30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f406,plain,
~ geq(vmul(vd526,vd529),vmul(vd529,vd526)),
inference(backward_demodulation,[],[f355,f396]) ).
fof(f396,plain,
vd526 = vd527,
inference(unit_resulting_resolution,[],[f255,f318,f280]) ).
fof(f280,plain,
! [X0,X1] :
( ~ geq(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f208]) ).
fof(f318,plain,
~ greater(vd526,vd527),
inference(unit_resulting_resolution,[],[f264,f305,f222]) ).
fof(f222,plain,
! [X2,X3,X0,X1] :
( ~ greater(X1,X2)
| ~ geq(X0,X3)
| greater(vmul(X1,X0),vmul(X2,X3)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( ( ( ~ greater(X0,X3)
| ~ geq(X1,X2) )
& ( ~ geq(X0,X3)
| ~ greater(X1,X2) ) )
| greater(vmul(X1,X0),vmul(X2,X3)) ),
inference(rectify,[],[f138]) ).
fof(f138,plain,
! [X1,X3,X2,X0] :
( ( ( ~ greater(X1,X0)
| ~ geq(X3,X2) )
& ( ~ geq(X1,X0)
| ~ greater(X3,X2) ) )
| greater(vmul(X3,X1),vmul(X2,X0)) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ( ( geq(X1,X0)
& greater(X3,X2) )
| ( greater(X1,X0)
& geq(X3,X2) ) )
=> greater(vmul(X3,X1),vmul(X2,X0)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X3,X2,X1,X0] :
( ( ( greater(X2,X3)
& geq(X0,X1) )
| ( geq(X2,X3)
& greater(X0,X1) ) )
=> greater(vmul(X0,X2),vmul(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(318, 0), 0)') ).
fof(f305,plain,
~ greater(vmul(vd526,vd529),vmul(vd527,vd530)),
inference(resolution,[],[f252,f279]) ).
fof(f279,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| geq(X0,X1) ),
inference(cnf_transformation,[],[f208]) ).
fof(f252,plain,
~ geq(vmul(vd526,vd529),vmul(vd527,vd530)),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
~ geq(vmul(vd526,vd529),vmul(vd527,vd530)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ geq(vmul(vd526,vd529),vmul(vd527,vd530)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
geq(vmul(vd526,vd529),vmul(vd527,vd530)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(323), 532, 0)') ).
fof(f264,plain,
geq(vd529,vd530),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
geq(vd529,vd530),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(antec(323)), 531, 0)') ).
fof(f255,plain,
geq(vd526,vd527),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
geq(vd526,vd527),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(antec(323)), 528, 0)') ).
fof(f355,plain,
~ geq(vmul(vd526,vd529),vmul(vd529,vd527)),
inference(forward_demodulation,[],[f343,f269]) ).
fof(f343,plain,
~ geq(vmul(vd526,vd529),vmul(vd527,vd529)),
inference(backward_demodulation,[],[f252,f337]) ).
fof(f337,plain,
vd529 = vd530,
inference(unit_resulting_resolution,[],[f264,f317,f280]) ).
fof(f317,plain,
~ greater(vd529,vd530),
inference(unit_resulting_resolution,[],[f255,f305,f223]) ).
fof(f223,plain,
! [X2,X3,X0,X1] :
( ~ greater(X0,X3)
| ~ geq(X1,X2)
| greater(vmul(X1,X0),vmul(X2,X3)) ),
inference(cnf_transformation,[],[f170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM857+2 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 09:26:31 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.53 % (24977)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)
% 0.20/0.54 % (24969)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)
% 0.20/0.54 % (24961)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)
% 0.20/0.54 % (24978)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)
% 0.20/0.54 % (24970)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)
% 1.50/0.55 % (24962)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)
% 1.50/0.55 % (24978)Refutation not found, incomplete strategy% (24978)------------------------------
% 1.50/0.55 % (24978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (24978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (24978)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.56
% 1.50/0.56 % (24978)Memory used [KB]: 1663
% 1.50/0.56 % (24978)Time elapsed: 0.083 s
% 1.50/0.56 % (24978)Instructions burned: 5 (million)
% 1.50/0.56 % (24978)------------------------------
% 1.50/0.56 % (24978)------------------------------
% 1.50/0.56 % (24969)Instruction limit reached!
% 1.50/0.56 % (24969)------------------------------
% 1.50/0.56 % (24969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (24969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (24969)Termination reason: Unknown
% 1.50/0.56 % (24969)Termination phase: Preprocessing 3
% 1.50/0.56
% 1.50/0.56 % (24969)Memory used [KB]: 1535
% 1.50/0.56 % (24969)Time elapsed: 0.005 s
% 1.50/0.56 % (24969)Instructions burned: 3 (million)
% 1.50/0.56 % (24969)------------------------------
% 1.50/0.56 % (24969)------------------------------
% 1.50/0.56 % (24962)First to succeed.
% 1.50/0.56 % (24970)Instruction limit reached!
% 1.50/0.56 % (24970)------------------------------
% 1.50/0.56 % (24970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (24970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (24970)Termination reason: Unknown
% 1.50/0.56 % (24970)Termination phase: Saturation
% 1.50/0.56
% 1.50/0.56 % (24970)Memory used [KB]: 6140
% 1.50/0.56 % (24970)Time elapsed: 0.094 s
% 1.50/0.56 % (24970)Instructions burned: 8 (million)
% 1.50/0.56 % (24970)------------------------------
% 1.50/0.56 % (24970)------------------------------
% 1.50/0.57 % (24962)Refutation found. Thanks to Tanya!
% 1.50/0.57 % SZS status Theorem for theBenchmark
% 1.50/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.57 % (24962)------------------------------
% 1.50/0.57 % (24962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57 % (24962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57 % (24962)Termination reason: Refutation
% 1.50/0.57
% 1.50/0.57 % (24962)Memory used [KB]: 6268
% 1.50/0.57 % (24962)Time elapsed: 0.098 s
% 1.50/0.57 % (24962)Instructions burned: 9 (million)
% 1.50/0.57 % (24962)------------------------------
% 1.50/0.57 % (24962)------------------------------
% 1.50/0.57 % (24954)Success in time 0.217 s
%------------------------------------------------------------------------------