TSTP Solution File: SWV185+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV185+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 : n016.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 18:44:26 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 274 ( 68 equ)
% Maximal formula atoms : 33 ( 10 avg)
% Number of connectives : 361 ( 113 ~; 100 |; 102 &)
% ( 3 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-3 aty)
% Number of variables : 76 ( 72 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f322,plain,
$false,
inference(avatar_sat_refutation,[],[f238,f239,f321]) ).
fof(f321,plain,
~ spl2_4,
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f320,plain,
( $false
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f319,f141]) ).
fof(f141,plain,
leq(sK0,n4),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( ~ gt(loopcounter,n1)
| ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n4)
| init = a_select2(rhoold_init,X0) ) )
& ( ! [X1] :
( init = a_select2(muold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& init != a_select2(rhoold_init,sK0)
& leq(n0,sK0)
& leq(sK0,n4)
& ! [X3] :
( ~ leq(n0,X3)
| ~ leq(X3,n4)
| init = a_select2(sigma_init,X3) )
& ! [X4] :
( ~ leq(X4,n4)
| init = a_select2(mu_init,X4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select3(center_init,X5,n0)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
& ! [X6] :
( ~ leq(X6,n135299)
| ~ leq(n0,X6)
| ! [X7] :
( ~ leq(X7,n4)
| ~ leq(n0,X7)
| init = a_select3(q_init,X6,X7) ) )
& ! [X8] :
( ~ leq(X8,n4)
| ~ leq(n0,X8)
| init = a_select2(rho_init,X8) )
& gt(loopcounter,n1)
& ( ! [X9] :
( ~ leq(X9,n4)
| ~ leq(n0,X9)
| init = a_select2(sigmaold_init,X9) )
| ~ gt(loopcounter,n1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f123,f124]) ).
fof(f124,plain,
( ? [X2] :
( init != a_select2(rhoold_init,X2)
& leq(n0,X2)
& leq(X2,n4) )
=> ( init != a_select2(rhoold_init,sK0)
& leq(n0,sK0)
& leq(sK0,n4) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
( ( ~ gt(loopcounter,n1)
| ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n4)
| init = a_select2(rhoold_init,X0) ) )
& ( ! [X1] :
( init = a_select2(muold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ? [X2] :
( init != a_select2(rhoold_init,X2)
& leq(n0,X2)
& leq(X2,n4) )
& ! [X3] :
( ~ leq(n0,X3)
| ~ leq(X3,n4)
| init = a_select2(sigma_init,X3) )
& ! [X4] :
( ~ leq(X4,n4)
| init = a_select2(mu_init,X4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select3(center_init,X5,n0)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
& ! [X6] :
( ~ leq(X6,n135299)
| ~ leq(n0,X6)
| ! [X7] :
( ~ leq(X7,n4)
| ~ leq(n0,X7)
| init = a_select3(q_init,X6,X7) ) )
& ! [X8] :
( ~ leq(X8,n4)
| ~ leq(n0,X8)
| init = a_select2(rho_init,X8) )
& gt(loopcounter,n1)
& ( ! [X9] :
( ~ leq(X9,n4)
| ~ leq(n0,X9)
| init = a_select2(sigmaold_init,X9) )
| ~ gt(loopcounter,n1) ) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
( ( ~ gt(loopcounter,n1)
| ! [X7] :
( ~ leq(n0,X7)
| ~ leq(X7,n4)
| init = a_select2(rhoold_init,X7) ) )
& ( ! [X5] :
( init = a_select2(muold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ gt(loopcounter,n1) )
& ? [X9] :
( init != a_select2(rhoold_init,X9)
& leq(n0,X9)
& leq(X9,n4) )
& ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n4)
| init = a_select2(sigma_init,X1) )
& ! [X8] :
( ~ leq(X8,n4)
| init = a_select2(mu_init,X8)
| ~ leq(n0,X8) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
& ! [X2] :
( ~ leq(X2,n135299)
| ~ leq(n0,X2)
| ! [X3] :
( ~ leq(X3,n4)
| ~ leq(n0,X3)
| init = a_select3(q_init,X2,X3) ) )
& ! [X0] :
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| init = a_select2(rho_init,X0) )
& gt(loopcounter,n1)
& ( ! [X6] :
( ~ leq(X6,n4)
| ~ leq(n0,X6)
| init = a_select2(sigmaold_init,X6) )
| ~ gt(loopcounter,n1) ) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
( ? [X9] :
( init != a_select2(rhoold_init,X9)
& leq(n0,X9)
& leq(X9,n4) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
& ! [X0] :
( init = a_select2(rho_init,X0)
| ~ leq(n0,X0)
| ~ leq(X0,n4) )
& ! [X2] :
( ! [X3] :
( init = a_select3(q_init,X2,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
| ~ leq(n0,X2)
| ~ leq(X2,n135299) )
& ! [X1] :
( init = a_select2(sigma_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& gt(loopcounter,n1)
& ( ! [X5] :
( init = a_select2(muold_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ gt(loopcounter,n1) )
& ( ! [X7] :
( init = a_select2(rhoold_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
| ~ gt(loopcounter,n1) )
& ( ! [X6] :
( init = a_select2(sigmaold_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
| ~ gt(loopcounter,n1) )
& ! [X8] :
( init = a_select2(mu_init,X8)
| ~ leq(n0,X8)
| ~ leq(X8,n4) ) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> init = a_select3(center_init,X4,n0) )
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,n4) )
=> init = a_select2(rho_init,X0) )
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,n135299) )
=> ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select3(q_init,X2,X3) ) )
& ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> init = a_select2(sigma_init,X1) )
& gt(loopcounter,n1)
& ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select2(muold_init,X5) ) )
& ( gt(loopcounter,n1)
=> ! [X7] :
( ( leq(X7,n4)
& leq(n0,X7) )
=> init = a_select2(rhoold_init,X7) ) )
& ( gt(loopcounter,n1)
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select2(sigmaold_init,X6) ) )
& ! [X8] :
( ( leq(n0,X8)
& leq(X8,n4) )
=> init = a_select2(mu_init,X8) ) )
=> ! [X9] :
( ( leq(n0,X9)
& leq(X9,n4) )
=> init = a_select2(rhoold_init,X9) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select2(rho_init,X3) )
& ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n4) )
=> a_select3(q_init,X13,X17) = init ) )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> init = a_select3(center_init,X21,n0) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n4) )
=> init = a_select2(muold_init,X27) ) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& gt(loopcounter,n1)
& ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) ) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(rhoold_init,X10) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select2(rho_init,X3) )
& ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n4) )
=> a_select3(q_init,X13,X17) = init ) )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> init = a_select3(center_init,X21,n0) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n4) )
=> init = a_select2(muold_init,X27) ) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& gt(loopcounter,n1)
& ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) ) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(rhoold_init,X10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0101) ).
fof(f319,plain,
( ~ leq(sK0,n4)
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f318,f142]) ).
fof(f142,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f125]) ).
fof(f318,plain,
( ~ leq(n0,sK0)
| ~ leq(sK0,n4)
| ~ spl2_4 ),
inference(resolution,[],[f237,f203]) ).
fof(f203,plain,
~ sQ1_eqProxy(init,a_select2(rhoold_init,sK0)),
inference(equality_proxy_replacement,[],[f143,f198]) ).
fof(f198,plain,
! [X0,X1] :
( sQ1_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ1_eqProxy])]) ).
fof(f143,plain,
init != a_select2(rhoold_init,sK0),
inference(cnf_transformation,[],[f125]) ).
fof(f237,plain,
( ! [X0] :
( sQ1_eqProxy(init,a_select2(rhoold_init,X0))
| ~ leq(n0,X0)
| ~ leq(X0,n4) )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl2_4
<=> ! [X0] :
( ~ leq(X0,n4)
| sQ1_eqProxy(init,a_select2(rhoold_init,X0))
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f239,plain,
spl2_2,
inference(avatar_split_clause,[],[f135,f227]) ).
fof(f227,plain,
( spl2_2
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f135,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f125]) ).
fof(f238,plain,
( ~ spl2_2
| spl2_4 ),
inference(avatar_split_clause,[],[f201,f236,f227]) ).
fof(f201,plain,
! [X0] :
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| sQ1_eqProxy(init,a_select2(rhoold_init,X0))
| ~ gt(loopcounter,n1) ),
inference(equality_proxy_replacement,[],[f145,f198]) ).
fof(f145,plain,
! [X0] :
( ~ gt(loopcounter,n1)
| ~ leq(n0,X0)
| ~ leq(X0,n4)
| init = a_select2(rhoold_init,X0) ),
inference(cnf_transformation,[],[f125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV185+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
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 19:28:16 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.49 % (2081)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.50 % (2081)Instruction limit reached!
% 0.21/0.50 % (2081)------------------------------
% 0.21/0.50 % (2081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (2098)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.50 % (2090)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.50 % (2081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (2081)Termination reason: Unknown
% 0.21/0.50 % (2081)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (2081)Memory used [KB]: 1791
% 0.21/0.50 % (2081)Time elapsed: 0.009 s
% 0.21/0.50 % (2081)Instructions burned: 13 (million)
% 0.21/0.50 % (2081)------------------------------
% 0.21/0.50 % (2081)------------------------------
% 0.21/0.51 % (2108)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52 % (2100)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)
% 0.21/0.52 % (2100)Instruction limit reached!
% 0.21/0.52 % (2100)------------------------------
% 0.21/0.52 % (2100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (2100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (2100)Termination reason: Unknown
% 0.21/0.52 % (2100)Termination phase: Preprocessing 1
% 0.21/0.52
% 0.21/0.52 % (2100)Memory used [KB]: 1407
% 0.21/0.52 % (2100)Time elapsed: 0.002 s
% 0.21/0.52 % (2100)Instructions burned: 2 (million)
% 0.21/0.52 % (2100)------------------------------
% 0.21/0.52 % (2100)------------------------------
% 0.21/0.52 % (2090)First to succeed.
% 0.21/0.52 % (2098)Also succeeded, but the first one will report.
% 0.21/0.52 % (2090)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (2090)------------------------------
% 0.21/0.52 % (2090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (2090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (2090)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (2090)Memory used [KB]: 6140
% 0.21/0.52 % (2090)Time elapsed: 0.094 s
% 0.21/0.52 % (2090)Instructions burned: 5 (million)
% 0.21/0.52 % (2090)------------------------------
% 0.21/0.52 % (2090)------------------------------
% 0.21/0.52 % (2079)Success in time 0.165 s
%------------------------------------------------------------------------------