TSTP Solution File: SWV141+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV141+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : n015.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 18:44:19 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 146 ( 5 equ)
% Maximal formula atoms : 27 ( 5 avg)
% Number of connectives : 156 ( 38 ~; 34 |; 54 &)
% ( 2 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f300,plain,
$false,
inference(avatar_sat_refutation,[],[f231,f232,f299]) ).
fof(f299,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f298,plain,
( $false
| spl0_3 ),
inference(subsumption_resolution,[],[f297,f159]) ).
fof(f159,plain,
leq(n1,loopcounter),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( ~ gt(loopcounter,n0)
| leq(n0,s_best7) )
& ( ~ gt(loopcounter,n0)
| leq(s_sworst7,n3) )
& ( leq(n0,s_sworst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_worst7,n3)
| leq(tptp_float_0_001,pv1341) )
& leq(tptp_float_0_001,pv1341)
& ( leq(n0,s_best7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_worst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_worst7)
| ~ gt(loopcounter,n0) )
& ( leq(s_best7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_sworst7,n3)
| leq(tptp_float_0_001,pv1341) )
& leq(n1,loopcounter)
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_worst7) )
& ( ~ gt(loopcounter,n0)
| leq(s_best7,n3) )
& ~ leq(n0,s_worst7)
& ( leq(n0,s_sworst7)
| ~ gt(loopcounter,n0) ) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
( ~ leq(n0,s_worst7)
& ( ~ gt(loopcounter,n0)
| leq(n0,s_best7) )
& ( leq(n0,s_worst7)
| ~ gt(loopcounter,n0) )
& ( leq(s_worst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_sworst7)
| leq(tptp_float_0_001,pv1341) )
& ( ~ gt(loopcounter,n0)
| leq(s_best7,n3) )
& ( leq(s_best7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_worst7) )
& ( ~ gt(loopcounter,n0)
| leq(s_sworst7,n3) )
& ( leq(n0,s_best7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_sworst7)
| ~ gt(loopcounter,n0) )
& leq(tptp_float_0_001,pv1341)
& ( leq(s_sworst7,n3)
| leq(tptp_float_0_001,pv1341) )
& leq(n1,loopcounter)
& ( leq(s_worst7,n3)
| ~ gt(loopcounter,n0) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& leq(tptp_float_0_001,pv1341)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& leq(n1,loopcounter)
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) ) )
=> leq(n0,s_worst7) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& leq(tptp_float_0_001,pv1341)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& leq(n1,loopcounter)
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) ) )
=> leq(n0,s_worst7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0011) ).
fof(f297,plain,
( ~ leq(n1,loopcounter)
| spl0_3 ),
inference(forward_demodulation,[],[f289,f210]) ).
fof(f210,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f176,f145]) ).
fof(f145,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f176,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f289,plain,
( ~ leq(plus(n0,n1),loopcounter)
| spl0_3 ),
inference(unit_resulting_resolution,[],[f230,f205]) ).
fof(f205,plain,
! [X0,X1] :
( ~ leq(plus(X0,n1),X1)
| gt(X1,X0) ),
inference(definition_unfolding,[],[f144,f145]) ).
fof(f144,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X1,X0] :
( gt(X0,X1)
| ~ leq(succ(X1),X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
! [X1,X0] :
( leq(succ(X1),X0)
=> gt(X0,X1) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X1,X0] :
( leq(succ(X0),X1)
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt) ).
fof(f230,plain,
( ~ gt(loopcounter,n0)
| spl0_3 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl0_3
<=> gt(loopcounter,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f232,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f156,f223]) ).
fof(f223,plain,
( spl0_2
<=> leq(n0,s_worst7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f156,plain,
~ leq(n0,s_worst7),
inference(cnf_transformation,[],[f115]) ).
fof(f231,plain,
( spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f162,f228,f223]) ).
fof(f162,plain,
( ~ gt(loopcounter,n0)
| leq(n0,s_worst7) ),
inference(cnf_transformation,[],[f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV141+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 19:15:06 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 % (19363)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)
% 0.21/0.49 % (19383)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)
% 0.21/0.50 % (19363)First to succeed.
% 0.21/0.50 % (19382)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)
% 0.21/0.50 % (19382)Instruction limit reached!
% 0.21/0.50 % (19382)------------------------------
% 0.21/0.50 % (19382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (19363)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Theorem for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (19363)------------------------------
% 0.21/0.51 % (19363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (19363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (19363)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (19363)Memory used [KB]: 6140
% 0.21/0.51 % (19363)Time elapsed: 0.091 s
% 0.21/0.51 % (19363)Instructions burned: 6 (million)
% 0.21/0.51 % (19363)------------------------------
% 0.21/0.51 % (19363)------------------------------
% 0.21/0.51 % (19349)Success in time 0.142 s
%------------------------------------------------------------------------------