TSTP Solution File: SWV182+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV182+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 : n018.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 18:44:25 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 9 unt; 0 def)
% Number of atoms : 253 ( 54 equ)
% Maximal formula atoms : 25 ( 6 avg)
% Number of connectives : 311 ( 98 ~; 92 |; 82 &)
% ( 2 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-3 aty)
% Number of variables : 80 ( 76 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f256,plain,
$false,
inference(avatar_sat_refutation,[],[f183,f234,f255]) ).
fof(f255,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f254]) ).
fof(f254,plain,
( $false
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f246,f146]) ).
fof(f146,plain,
leq(sK0,n4),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( leq(sK0,n4)
& init != a_select2(rho_init,sK0)
& leq(n0,sK0)
& ( ! [X1] :
( ~ leq(n0,X1)
| init = a_select2(mu_init,X1)
| ~ leq(X1,n4) )
| ~ gt(loopcounter,n0) )
& ! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n4)
| init = a_select3(center_init,X2,n0) )
& ( ! [X3] :
( ~ leq(n0,X3)
| init = a_select2(sigma_init,X3)
| ~ leq(X3,n4) )
| ~ gt(loopcounter,n0) )
& ( ! [X4] :
( ~ leq(n0,X4)
| init = a_select2(rho_init,X4)
| ~ leq(X4,n4) )
| ~ gt(loopcounter,n0) )
& leq(n1,loopcounter)
& ! [X5] :
( ~ leq(n0,X5)
| ! [X6] :
( ~ leq(X6,n4)
| init = a_select3(q_init,X5,X6)
| ~ leq(n0,X6) )
| ~ leq(X5,n135299) )
& leq(tptp_float_0_001,pv76) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f123,f124]) ).
fof(f124,plain,
( ? [X0] :
( leq(X0,n4)
& init != a_select2(rho_init,X0)
& leq(n0,X0) )
=> ( leq(sK0,n4)
& init != a_select2(rho_init,sK0)
& leq(n0,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
( ? [X0] :
( leq(X0,n4)
& init != a_select2(rho_init,X0)
& leq(n0,X0) )
& ( ! [X1] :
( ~ leq(n0,X1)
| init = a_select2(mu_init,X1)
| ~ leq(X1,n4) )
| ~ gt(loopcounter,n0) )
& ! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n4)
| init = a_select3(center_init,X2,n0) )
& ( ! [X3] :
( ~ leq(n0,X3)
| init = a_select2(sigma_init,X3)
| ~ leq(X3,n4) )
| ~ gt(loopcounter,n0) )
& ( ! [X4] :
( ~ leq(n0,X4)
| init = a_select2(rho_init,X4)
| ~ leq(X4,n4) )
| ~ gt(loopcounter,n0) )
& leq(n1,loopcounter)
& ! [X5] :
( ~ leq(n0,X5)
| ! [X6] :
( ~ leq(X6,n4)
| init = a_select3(q_init,X5,X6)
| ~ leq(n0,X6) )
| ~ leq(X5,n135299) )
& leq(tptp_float_0_001,pv76) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
( ? [X6] :
( leq(X6,n4)
& init != a_select2(rho_init,X6)
& leq(n0,X6) )
& ( ! [X5] :
( ~ leq(n0,X5)
| init = a_select2(mu_init,X5)
| ~ leq(X5,n4) )
| ~ gt(loopcounter,n0) )
& ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n4)
| init = a_select3(center_init,X4,n0) )
& ( ! [X3] :
( ~ leq(n0,X3)
| init = a_select2(sigma_init,X3)
| ~ leq(X3,n4) )
| ~ gt(loopcounter,n0) )
& ( ! [X2] :
( ~ leq(n0,X2)
| init = a_select2(rho_init,X2)
| ~ leq(X2,n4) )
| ~ gt(loopcounter,n0) )
& leq(n1,loopcounter)
& ! [X0] :
( ~ leq(n0,X0)
| ! [X1] :
( ~ leq(X1,n4)
| init = a_select3(q_init,X0,X1)
| ~ leq(n0,X1) )
| ~ leq(X0,n135299) )
& leq(tptp_float_0_001,pv76) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
( ? [X6] :
( init != a_select2(rho_init,X6)
& leq(X6,n4)
& leq(n0,X6) )
& leq(n1,loopcounter)
& ! [X0] :
( ! [X1] :
( init = a_select3(q_init,X0,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
| ~ leq(X0,n135299)
| ~ leq(n0,X0) )
& leq(tptp_float_0_001,pv76)
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
& ( ! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
| ~ gt(loopcounter,n0) )
& ( ! [X3] :
( init = a_select2(sigma_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
| ~ gt(loopcounter,n0) )
& ( ! [X5] :
( init = a_select2(mu_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
| ~ gt(loopcounter,n0) ) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( leq(n1,loopcounter)
& ! [X0] :
( ( leq(X0,n135299)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> init = a_select3(q_init,X0,X1) ) )
& leq(tptp_float_0_001,pv76)
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> init = a_select3(center_init,X4,n0) )
& ( gt(loopcounter,n0)
=> ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> init = a_select2(rho_init,X2) ) )
& ( gt(loopcounter,n0)
=> ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select2(sigma_init,X3) ) )
& ( gt(loopcounter,n0)
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> init = a_select2(mu_init,X5) ) ) )
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select2(rho_init,X6) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& ( gt(loopcounter,n0)
=> ! [X20] :
( ( leq(n0,X20)
& leq(X20,n4) )
=> init = a_select2(rho_init,X20) ) )
& leq(tptp_float_0_001,pv76)
& ( gt(loopcounter,n0)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(sigma_init,X21) ) )
& leq(n1,loopcounter)
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select3(center_init,X3,n0) )
& ( gt(loopcounter,n0)
=> ! [X19] :
( ( leq(n0,X19)
& leq(X19,n4) )
=> init = a_select2(mu_init,X19) ) ) )
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n4) )
=> init = a_select2(rho_init,X27) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& ( gt(loopcounter,n0)
=> ! [X20] :
( ( leq(n0,X20)
& leq(X20,n4) )
=> init = a_select2(rho_init,X20) ) )
& leq(tptp_float_0_001,pv76)
& ( gt(loopcounter,n0)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(sigma_init,X21) ) )
& leq(n1,loopcounter)
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select3(center_init,X3,n0) )
& ( gt(loopcounter,n0)
=> ! [X19] :
( ( leq(n0,X19)
& leq(X19,n4) )
=> init = a_select2(mu_init,X19) ) ) )
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n4) )
=> init = a_select2(rho_init,X27) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0086) ).
fof(f246,plain,
( ~ leq(sK0,n4)
| ~ spl2_2 ),
inference(unit_resulting_resolution,[],[f144,f145,f182]) ).
fof(f182,plain,
( ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n4)
| init = a_select2(rho_init,X4) )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f181,plain,
( spl2_2
<=> ! [X4] :
( init = a_select2(rho_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f145,plain,
init != a_select2(rho_init,sK0),
inference(cnf_transformation,[],[f125]) ).
fof(f144,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f125]) ).
fof(f234,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f233]) ).
fof(f233,plain,
( $false
| spl2_1 ),
inference(subsumption_resolution,[],[f227,f162]) ).
fof(f162,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_0) ).
fof(f227,plain,
( ~ gt(n1,n0)
| spl2_1 ),
inference(backward_demodulation,[],[f179,f225]) ).
fof(f225,plain,
( n1 = loopcounter
| spl2_1 ),
inference(unit_resulting_resolution,[],[f139,f212,f174]) ).
fof(f174,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| gt(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( X0 = X1
| gt(X0,X1)
| ~ leq(X1,X0) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X1,X0] :
( X0 = X1
| gt(X1,X0)
| ~ leq(X0,X1) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt2) ).
fof(f212,plain,
( ~ gt(loopcounter,n1)
| spl2_1 ),
inference(unit_resulting_resolution,[],[f162,f179,f155]) ).
fof(f155,plain,
! [X2,X0,X1] :
( ~ gt(X2,X1)
| ~ gt(X1,X0)
| gt(X2,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ~ gt(X2,X1)
| gt(X2,X0)
| ~ gt(X1,X0) ),
inference(rectify,[],[f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ gt(X1,X0)
| gt(X1,X2)
| ~ gt(X0,X2) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X1,X0,X2] :
( gt(X1,X2)
| ~ gt(X1,X0)
| ~ gt(X0,X2) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X1,X0,X2] :
( ( gt(X1,X0)
& gt(X0,X2) )
=> gt(X1,X2) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0,X2] :
( ( gt(X0,X1)
& gt(X1,X2) )
=> gt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_gt) ).
fof(f139,plain,
leq(n1,loopcounter),
inference(cnf_transformation,[],[f125]) ).
fof(f179,plain,
( ~ gt(loopcounter,n0)
| spl2_1 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl2_1
<=> gt(loopcounter,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f183,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f140,f181,f177]) ).
fof(f140,plain,
! [X4] :
( init = a_select2(rho_init,X4)
| ~ gt(loopcounter,n0)
| ~ leq(n0,X4)
| ~ leq(X4,n4) ),
inference(cnf_transformation,[],[f125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV182+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 19:10:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % (2290)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)
% 0.20/0.50 % (2297)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 % (2297)Instruction limit reached!
% 0.20/0.51 % (2297)------------------------------
% 0.20/0.51 % (2297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (2282)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)
% 0.20/0.51 % (2305)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.51 % (2296)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (2287)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)
% 0.20/0.52 % (2281)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)
% 0.20/0.52 % (2300)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 % (2290)Instruction limit reached!
% 0.20/0.52 % (2290)------------------------------
% 0.20/0.52 % (2290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (2292)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 % (2297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (2297)Termination reason: Unknown
% 0.20/0.52 % (2297)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (2297)Memory used [KB]: 6268
% 0.20/0.52 % (2297)Time elapsed: 0.106 s
% 0.20/0.52 % (2297)Instructions burned: 12 (million)
% 0.20/0.52 % (2297)------------------------------
% 0.20/0.52 % (2297)------------------------------
% 0.20/0.52 % (2281)First to succeed.
% 0.20/0.52 % (2296)Instruction limit reached!
% 0.20/0.52 % (2296)------------------------------
% 0.20/0.52 % (2296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (2296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (2296)Termination reason: Unknown
% 0.20/0.52 % (2296)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (2296)Memory used [KB]: 1535
% 0.20/0.52 % (2296)Time elapsed: 0.004 s
% 0.20/0.52 % (2296)Instructions burned: 3 (million)
% 0.20/0.52 % (2296)------------------------------
% 0.20/0.52 % (2296)------------------------------
% 0.20/0.52 % (2281)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.28/0.52 % (2281)------------------------------
% 1.28/0.52 % (2281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (2281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (2281)Termination reason: Refutation
% 1.28/0.52
% 1.28/0.52 % (2281)Memory used [KB]: 6140
% 1.28/0.52 % (2281)Time elapsed: 0.113 s
% 1.28/0.52 % (2281)Instructions burned: 8 (million)
% 1.28/0.52 % (2281)------------------------------
% 1.28/0.52 % (2281)------------------------------
% 1.28/0.52 % (2277)Success in time 0.172 s
%------------------------------------------------------------------------------