TSTP Solution File: SWV139+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV139+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_sat --cores 0 -t %d %s
% Computer : n024.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 18:55:38 EDT 2022
% Result : Theorem 1.57s 0.56s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 141 ( 5 equ)
% Maximal formula atoms : 27 ( 5 avg)
% Number of connectives : 152 ( 37 ~; 32 |; 54 &)
% ( 2 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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 : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f883,plain,
$false,
inference(avatar_sat_refutation,[],[f443,f876,f882]) ).
fof(f882,plain,
~ spl29_8,
inference(avatar_contradiction_clause,[],[f881]) ).
fof(f881,plain,
( $false
| ~ spl29_8 ),
inference(resolution,[],[f442,f317]) ).
fof(f317,plain,
~ leq(n0,s_best7),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( ~ gt(loopcounter,n0)
| leq(s_worst7,n3) )
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_sworst7) )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_best7,n3) )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_worst7,n3) )
& ( leq(n0,s_sworst7)
| ~ gt(loopcounter,n0) )
& ( ~ gt(loopcounter,n0)
| leq(s_sworst7,n3) )
& ( leq(s_best7,n3)
| ~ gt(loopcounter,n0) )
& ~ leq(n0,s_best7)
& ( leq(n0,s_best7)
| ~ gt(loopcounter,n0) )
& ( ~ gt(loopcounter,n0)
| leq(n0,s_worst7) )
& ( leq(n0,s_best7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_worst7)
| leq(tptp_float_0_001,pv1341) )
& leq(tptp_float_0_001,pv1341)
& leq(n1,loopcounter)
& ( leq(s_sworst7,n3)
| leq(tptp_float_0_001,pv1341) ) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
( ~ leq(n0,s_best7)
& leq(n1,loopcounter)
& ( ~ gt(loopcounter,n0)
| leq(n0,s_worst7) )
& ( ~ gt(loopcounter,n0)
| leq(s_sworst7,n3) )
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_sworst7) )
& ( ~ gt(loopcounter,n0)
| leq(s_worst7,n3) )
& ( leq(n0,s_best7)
| ~ gt(loopcounter,n0) )
& ( leq(s_best7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_worst7,n3) )
& leq(tptp_float_0_001,pv1341)
& ( leq(n0,s_sworst7)
| ~ gt(loopcounter,n0) )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_best7,n3) )
& ( leq(s_sworst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_worst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_best7)
| leq(tptp_float_0_001,pv1341) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(n1,loopcounter)
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& leq(tptp_float_0_001,pv1341)
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) ) )
=> leq(n0,s_best7) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(n1,loopcounter)
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& leq(tptp_float_0_001,pv1341)
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) ) )
=> leq(n0,s_best7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_array_0009) ).
fof(f442,plain,
( leq(n0,s_best7)
| ~ spl29_8 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f440,plain,
( spl29_8
<=> leq(n0,s_best7) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_8])]) ).
fof(f876,plain,
spl29_4,
inference(avatar_split_clause,[],[f869,f418]) ).
fof(f418,plain,
( spl29_4
<=> gt(loopcounter,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_4])]) ).
fof(f869,plain,
gt(loopcounter,n0),
inference(resolution,[],[f715,f315]) ).
fof(f315,plain,
leq(n1,loopcounter),
inference(cnf_transformation,[],[f135]) ).
fof(f715,plain,
! [X2] :
( ~ leq(n1,X2)
| gt(X2,n0) ),
inference(superposition,[],[f383,f394]) ).
fof(f394,plain,
n1 = plus(n1,n0),
inference(definition_unfolding,[],[f283,f169]) ).
fof(f169,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f283,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f383,plain,
! [X0,X1] :
( ~ leq(plus(n1,X0),X1)
| gt(X1,X0) ),
inference(definition_unfolding,[],[f189,f169]) ).
fof(f189,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1] :
( ~ leq(succ(X0),X1)
| gt(X1,X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
( leq(succ(X0),X1)
=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt) ).
fof(f443,plain,
( ~ spl29_4
| spl29_8 ),
inference(avatar_split_clause,[],[f310,f440,f418]) ).
fof(f310,plain,
( leq(n0,s_best7)
| ~ gt(loopcounter,n0) ),
inference(cnf_transformation,[],[f135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV139+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_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 19:05:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.53 % (26271)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (26279)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53 % (26281)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (26273)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.41/0.54 % (26291)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.41/0.54 % (26283)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.41/0.54 % (26274)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.55 % (26293)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.41/0.55 % (26268)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.41/0.55 % (26270)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.41/0.55 % (26269)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.41/0.55 % (26280)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.41/0.55 % (26275)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.41/0.55 % (26289)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.41/0.55 % (26294)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.41/0.55 % (26284)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.41/0.55 % (26288)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.41/0.55 % (26290)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.41/0.56 % (26276)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.41/0.56 % (26285)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.41/0.56 % (26276)Instruction limit reached!
% 1.41/0.56 % (26276)------------------------------
% 1.41/0.56 % (26276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.56 % (26276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.56 % (26276)Termination reason: Unknown
% 1.41/0.56 % (26276)Termination phase: Preprocessing 2
% 1.41/0.56
% 1.41/0.56 % (26276)Memory used [KB]: 1023
% 1.41/0.56 % (26276)Time elapsed: 0.002 s
% 1.41/0.56 % (26276)Instructions burned: 2 (million)
% 1.41/0.56 % (26276)------------------------------
% 1.41/0.56 % (26276)------------------------------
% 1.41/0.56 % (26297)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.41/0.56 % (26286)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.56 % (26282)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.57/0.56 % (26279)First to succeed.
% 1.57/0.56 % (26296)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.57/0.56 % (26277)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.57/0.56 % (26272)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.57/0.56 % (26279)Refutation found. Thanks to Tanya!
% 1.57/0.56 % SZS status Theorem for theBenchmark
% 1.57/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.56 % (26279)------------------------------
% 1.57/0.56 % (26279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56 % (26279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56 % (26279)Termination reason: Refutation
% 1.57/0.56
% 1.57/0.56 % (26279)Memory used [KB]: 6012
% 1.57/0.56 % (26279)Time elapsed: 0.142 s
% 1.57/0.56 % (26279)Instructions burned: 34 (million)
% 1.57/0.56 % (26279)------------------------------
% 1.57/0.56 % (26279)------------------------------
% 1.57/0.56 % (26267)Success in time 0.206 s
%------------------------------------------------------------------------------