TSTP Solution File: LCL678+1.001 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL678+1.001 : TPTP v8.1.0. Released v4.0.0.
% 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 : n006.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 17:49:35 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 4 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 143 ( 72 ~; 48 |; 20 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 58 ( 41 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30,plain,
$false,
inference(resolution,[],[f26,f16]) ).
fof(f16,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f26,plain,
! [X0] : ~ r1(sK0,X0),
inference(subsumption_resolution,[],[f25,f18]) ).
fof(f18,plain,
! [X1] :
( ~ p1(sK2(X1))
| ~ r1(sK0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X1] :
( ( ! [X3] :
( p1(X3)
| ~ r1(sK1(X1),X3) )
& r1(X1,sK1(X1))
& ~ p1(sK2(X1))
& r1(sK1(X1),sK2(X1)) )
| ~ r1(sK0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f8,f13,f12,f11]) ).
fof(f11,plain,
( ? [X0] :
! [X1] :
( ? [X2] :
( ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
& r1(X1,X2)
& ? [X4] :
( ~ p1(X4)
& r1(X2,X4) ) )
| ~ r1(X0,X1) )
=> ! [X1] :
( ? [X2] :
( ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
& r1(X1,X2)
& ? [X4] :
( ~ p1(X4)
& r1(X2,X4) ) )
| ~ r1(sK0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
& r1(X1,X2)
& ? [X4] :
( ~ p1(X4)
& r1(X2,X4) ) )
=> ( ! [X3] :
( p1(X3)
| ~ r1(sK1(X1),X3) )
& r1(X1,sK1(X1))
& ? [X4] :
( ~ p1(X4)
& r1(sK1(X1),X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X1] :
( ? [X4] :
( ~ p1(X4)
& r1(sK1(X1),X4) )
=> ( ~ p1(sK2(X1))
& r1(sK1(X1),sK2(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
? [X0] :
! [X1] :
( ? [X2] :
( ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
& r1(X1,X2)
& ? [X4] :
( ~ p1(X4)
& r1(X2,X4) ) )
| ~ r1(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
? [X0] :
! [X1] :
( ~ r1(X0,X1)
| ~ ! [X2] :
( ! [X4] :
( ~ r1(X2,X4)
| p1(X4) )
| ~ ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
~ ~ ? [X0] :
~ ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X2] :
( ! [X4] :
( ~ r1(X2,X4)
| p1(X4) )
| ~ ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) ) ),
inference(true_and_false_elimination,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X2] :
( ! [X4] :
( ~ r1(X2,X4)
| p1(X4) )
| ~ ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| $false )
| $false ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| $false )
| $false ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| $false )
| $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f25,plain,
! [X0] :
( ~ r1(sK0,X0)
| p1(sK2(X0)) ),
inference(duplicate_literal_removal,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ~ r1(sK0,X0)
| p1(sK2(X0))
| ~ r1(sK0,X0) ),
inference(resolution,[],[f20,f17]) ).
fof(f17,plain,
! [X1] :
( r1(sK1(X1),sK2(X1))
| ~ r1(sK0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f20,plain,
! [X3,X1] :
( ~ r1(sK1(X1),X3)
| p1(X3)
| ~ r1(sK0,X1) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL678+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n006.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 02:25:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.54 % (27987)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)
% 0.19/0.54 % (27989)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55 % (27989)Instruction limit reached!
% 0.19/0.55 % (27989)------------------------------
% 0.19/0.55 % (27989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (27996)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)
% 0.19/0.55 % (27988)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (27988)First to succeed.
% 0.19/0.55 % (28004)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)
% 0.19/0.55 % (28003)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)
% 0.19/0.55 % (28005)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55 % (27988)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Theorem for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (27988)------------------------------
% 0.19/0.55 % (27988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (27988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (27988)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (27988)Memory used [KB]: 5373
% 0.19/0.55 % (27988)Time elapsed: 0.122 s
% 0.19/0.55 % (27988)Instructions burned: 1 (million)
% 0.19/0.55 % (27988)------------------------------
% 0.19/0.55 % (27988)------------------------------
% 0.19/0.55 % (27980)Success in time 0.201 s
%------------------------------------------------------------------------------