TSTP Solution File: SWV185+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n028.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 18:55:45 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 255 ( 73 equ)
% Maximal formula atoms : 33 ( 12 avg)
% Number of connectives : 335 ( 100 ~; 90 |; 102 &)
% ( 0 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-3 aty)
% Number of variables : 72 ( 68 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f485,plain,
$false,
inference(subsumption_resolution,[],[f484,f444]) ).
fof(f444,plain,
init != sF32,
inference(definition_folding,[],[f372,f443]) ).
fof(f443,plain,
sF32 = a_select2(rhoold_init,sK25),
introduced(function_definition,[]) ).
fof(f372,plain,
init != a_select2(rhoold_init,sK25),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n4)
| init = a_select2(mu_init,X0) )
& ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n4)
| init = a_select2(sigma_init,X1) )
& ( ~ gt(loopcounter,n1)
| ! [X2] :
( init = a_select2(muold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) ) )
& ! [X3] :
( ~ leq(X3,n135299)
| ~ leq(n0,X3)
| ! [X4] :
( ~ leq(X4,n4)
| ~ leq(n0,X4)
| init = a_select3(q_init,X3,X4) ) )
& leq(sK25,n4)
& init != a_select2(rhoold_init,sK25)
& leq(n0,sK25)
& ! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,n4)
| init = a_select2(rho_init,X6) )
& ! [X7] :
( init = a_select3(center_init,X7,n0)
| ~ leq(n0,X7)
| ~ leq(X7,n4) )
& gt(loopcounter,n1)
& ( ~ gt(loopcounter,n1)
| ! [X8] :
( ~ leq(n0,X8)
| init = a_select2(rhoold_init,X8)
| ~ leq(X8,n4) ) )
& ( ! [X9] :
( ~ leq(X9,n4)
| ~ leq(n0,X9)
| init = a_select2(sigmaold_init,X9) )
| ~ gt(loopcounter,n1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f234,f235]) ).
fof(f235,plain,
( ? [X5] :
( leq(X5,n4)
& init != a_select2(rhoold_init,X5)
& leq(n0,X5) )
=> ( leq(sK25,n4)
& init != a_select2(rhoold_init,sK25)
& leq(n0,sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f234,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n4)
| init = a_select2(mu_init,X0) )
& ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n4)
| init = a_select2(sigma_init,X1) )
& ( ~ gt(loopcounter,n1)
| ! [X2] :
( init = a_select2(muold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) ) )
& ! [X3] :
( ~ leq(X3,n135299)
| ~ leq(n0,X3)
| ! [X4] :
( ~ leq(X4,n4)
| ~ leq(n0,X4)
| init = a_select3(q_init,X3,X4) ) )
& ? [X5] :
( leq(X5,n4)
& init != a_select2(rhoold_init,X5)
& leq(n0,X5) )
& ! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,n4)
| init = a_select2(rho_init,X6) )
& ! [X7] :
( init = a_select3(center_init,X7,n0)
| ~ leq(n0,X7)
| ~ leq(X7,n4) )
& gt(loopcounter,n1)
& ( ~ gt(loopcounter,n1)
| ! [X8] :
( ~ leq(n0,X8)
| init = a_select2(rhoold_init,X8)
| ~ leq(X8,n4) ) )
& ( ! [X9] :
( ~ leq(X9,n4)
| ~ leq(n0,X9)
| init = a_select2(sigmaold_init,X9) )
| ~ gt(loopcounter,n1) ) ),
inference(rectify,[],[f165]) ).
fof(f165,plain,
( ! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n4)
| init = a_select2(mu_init,X2) )
& ! [X8] :
( ~ leq(n0,X8)
| ~ leq(X8,n4)
| init = a_select2(sigma_init,X8) )
& ( ~ gt(loopcounter,n1)
| ! [X7] :
( init = a_select2(muold_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) ) )
& ! [X3] :
( ~ leq(X3,n135299)
| ~ leq(n0,X3)
| ! [X4] :
( ~ leq(X4,n4)
| ~ leq(n0,X4)
| init = a_select3(q_init,X3,X4) ) )
& ? [X9] :
( leq(X9,n4)
& init != a_select2(rhoold_init,X9)
& leq(n0,X9) )
& ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n4)
| init = a_select2(rho_init,X0) )
& ! [X1] :
( init = a_select3(center_init,X1,n0)
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
& gt(loopcounter,n1)
& ( ~ gt(loopcounter,n1)
| ! [X5] :
( ~ leq(n0,X5)
| init = a_select2(rhoold_init,X5)
| ~ leq(X5,n4) ) )
& ( ! [X6] :
( ~ leq(X6,n4)
| ~ leq(n0,X6)
| init = a_select2(sigmaold_init,X6) )
| ~ gt(loopcounter,n1) ) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
( ? [X9] :
( init != a_select2(rhoold_init,X9)
& leq(n0,X9)
& leq(X9,n4) )
& ! [X8] :
( init = a_select2(sigma_init,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
& ! [X2] :
( init = a_select2(mu_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ( ! [X6] :
( init = a_select2(sigmaold_init,X6)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
| ~ gt(loopcounter,n1) )
& ! [X1] :
( init = a_select3(center_init,X1,n0)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
& gt(loopcounter,n1)
& ! [X3] :
( ! [X4] :
( init = a_select3(q_init,X3,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
| ~ leq(n0,X3)
| ~ leq(X3,n135299) )
& ! [X0] :
( init = a_select2(rho_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ( ! [X5] :
( init = a_select2(rhoold_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X7] :
( init = a_select2(muold_init,X7)
| ~ leq(n0,X7)
| ~ leq(X7,n4) )
| ~ gt(loopcounter,n1) ) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> init = a_select2(sigma_init,X8) )
& ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select2(mu_init,X2) )
& ( gt(loopcounter,n1)
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n4) )
=> init = a_select2(sigmaold_init,X6) ) )
& ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> init = a_select3(center_init,X1,n0) )
& gt(loopcounter,n1)
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n135299) )
=> ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> init = a_select3(q_init,X3,X4) ) )
& ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select2(rho_init,X0) )
& ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> init = a_select2(rhoold_init,X5) ) )
& ( gt(loopcounter,n1)
=> ! [X7] :
( ( leq(n0,X7)
& leq(X7,n4) )
=> init = a_select2(muold_init,X7) ) ) )
=> ! [X9] :
( ( leq(n0,X9)
& leq(X9,n4) )
=> init = a_select2(rhoold_init,X9) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( gt(loopcounter,n1)
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> init = a_select3(center_init,X21,n0) )
& ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(n0,X28)
& leq(X28,n4) )
=> init = a_select2(rhoold_init,X28) ) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,n4) )
=> init = a_select2(sigma_init,X20) ) )
=> ! [X10] :
( ( leq(n0,X10)
& leq(X10,n4) )
=> init = a_select2(rhoold_init,X10) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( gt(loopcounter,n1)
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> init = a_select3(center_init,X21,n0) )
& ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(n0,X28)
& leq(X28,n4) )
=> init = a_select2(rhoold_init,X28) ) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,n4) )
=> init = a_select2(sigma_init,X20) ) )
=> ! [X10] :
( ( leq(n0,X10)
& leq(X10,n4) )
=> init = a_select2(rhoold_init,X10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0101) ).
fof(f484,plain,
init = sF32,
inference(backward_demodulation,[],[f443,f483]) ).
fof(f483,plain,
init = a_select2(rhoold_init,sK25),
inference(subsumption_resolution,[],[f481,f371]) ).
fof(f371,plain,
leq(n0,sK25),
inference(cnf_transformation,[],[f236]) ).
fof(f481,plain,
( ~ leq(n0,sK25)
| init = a_select2(rhoold_init,sK25) ),
inference(resolution,[],[f452,f373]) ).
fof(f373,plain,
leq(sK25,n4),
inference(cnf_transformation,[],[f236]) ).
fof(f452,plain,
! [X8] :
( ~ leq(X8,n4)
| ~ leq(n0,X8)
| init = a_select2(rhoold_init,X8) ),
inference(subsumption_resolution,[],[f367,f368]) ).
fof(f368,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f236]) ).
fof(f367,plain,
! [X8] :
( ~ gt(loopcounter,n1)
| ~ leq(X8,n4)
| ~ leq(n0,X8)
| init = a_select2(rhoold_init,X8) ),
inference(cnf_transformation,[],[f236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % 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_sat --cores 0 -t %d %s
% 0.14/0.33 % Computer : n028.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Aug 30 19:14:34 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.48 % (30420)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (30444)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.50 % (30428)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (30420)First to succeed.
% 0.20/0.52 % (30420)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
% 0.20/0.52 % (30420)------------------------------
% 0.20/0.52 % (30420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (30420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (30420)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (30420)Memory used [KB]: 5884
% 0.20/0.52 % (30420)Time elapsed: 0.117 s
% 0.20/0.52 % (30420)Instructions burned: 22 (million)
% 0.20/0.52 % (30420)------------------------------
% 0.20/0.52 % (30420)------------------------------
% 0.20/0.52 % (30415)Success in time 0.174 s
%------------------------------------------------------------------------------