TSTP Solution File: SWV140+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV140+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 : n002.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 18:44:18 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 129 ( 5 equ)
% Maximal formula atoms : 27 ( 6 avg)
% Number of connectives : 144 ( 35 ~; 28 |; 54 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f546,plain,
$false,
inference(subsumption_resolution,[],[f545,f396]) ).
fof(f396,plain,
leq(n1,loopcounter),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( ~ leq(n0,s_sworst7)
& leq(tptp_float_0_001,pv1341)
& ( leq(tptp_float_0_001,pv1341)
| leq(s_sworst7,n3) )
& leq(n1,loopcounter)
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_worst7) )
& ( leq(n0,s_best7)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_best7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_worst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_best7,n3) )
& ( ~ gt(loopcounter,n0)
| leq(n0,s_worst7) )
& ( leq(s_sworst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(s_best7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_sworst7) )
& ( leq(s_worst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( ~ gt(loopcounter,n0)
| leq(n0,s_sworst7) ) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
( ~ leq(n0,s_sworst7)
& ( leq(n0,s_best7)
| ~ gt(loopcounter,n0) )
& ( leq(s_best7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_sworst7) )
& ( leq(s_worst7,n3)
| leq(tptp_float_0_001,pv1341) )
& leq(n1,loopcounter)
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_worst7) )
& ( leq(s_sworst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_best7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_sworst7,n3) )
& ( ~ gt(loopcounter,n0)
| leq(n0,s_worst7) )
& leq(tptp_float_0_001,pv1341)
& ( ~ gt(loopcounter,n0)
| leq(n0,s_sworst7) )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_best7,n3) )
& ( 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(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& leq(n1,loopcounter)
& ( ~ 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) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& leq(tptp_float_0_001,pv1341)
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) ) )
=> leq(n0,s_sworst7) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& leq(n1,loopcounter)
& ( ~ 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) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& leq(tptp_float_0_001,pv1341)
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) ) )
=> leq(n0,s_sworst7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0010) ).
fof(f545,plain,
~ leq(n1,loopcounter),
inference(forward_demodulation,[],[f542,f404]) ).
fof(f404,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f262,f302]) ).
fof(f302,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(f262,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f542,plain,
~ leq(plus(n0,n1),loopcounter),
inference(unit_resulting_resolution,[],[f426,f400]) ).
fof(f400,plain,
! [X0,X1] :
( ~ leq(plus(X0,n1),X1)
| gt(X1,X0) ),
inference(definition_unfolding,[],[f241,f302]) ).
fof(f241,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X1,X0] :
( leq(succ(X0),X1)
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt) ).
fof(f426,plain,
~ gt(loopcounter,n0),
inference(subsumption_resolution,[],[f385,f399]) ).
fof(f399,plain,
~ leq(n0,s_sworst7),
inference(cnf_transformation,[],[f165]) ).
fof(f385,plain,
( ~ gt(loopcounter,n0)
| leq(n0,s_sworst7) ),
inference(cnf_transformation,[],[f165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV140+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n002.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 19:15:44 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.46 % (7675)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)
% 0.19/0.47 % (7675)Instruction limit reached!
% 0.19/0.47 % (7675)------------------------------
% 0.19/0.47 % (7675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (7684)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)
% 0.19/0.48 % (7675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (7675)Termination reason: Unknown
% 0.19/0.48 % (7675)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (7675)Memory used [KB]: 1918
% 0.19/0.48 % (7675)Time elapsed: 0.010 s
% 0.19/0.48 % (7675)Instructions burned: 16 (million)
% 0.19/0.48 % (7675)------------------------------
% 0.19/0.48 % (7675)------------------------------
% 0.19/0.50 % (7684)First to succeed.
% 0.19/0.50 % (7684)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (7684)------------------------------
% 0.19/0.50 % (7684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (7684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (7684)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (7684)Memory used [KB]: 6908
% 0.19/0.50 % (7684)Time elapsed: 0.100 s
% 0.19/0.50 % (7684)Instructions burned: 36 (million)
% 0.19/0.50 % (7684)------------------------------
% 0.19/0.50 % (7684)------------------------------
% 0.19/0.50 % (7662)Success in time 0.158 s
%------------------------------------------------------------------------------