TSTP Solution File: SYN345+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN345+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n009.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 19:26:19 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 3 unt; 0 def)
% Number of atoms : 225 ( 0 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 277 ( 91 ~; 91 |; 55 &)
% ( 9 <=>; 29 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 7 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 69 ( 46 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,plain,
$false,
inference(avatar_sat_refutation,[],[f33,f37,f41,f45,f46,f48,f50,f52]) ).
fof(f52,plain,
( spl3_3
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f51]) ).
fof(f51,plain,
( $false
| spl3_3
| ~ spl3_4 ),
inference(subsumption_resolution,[],[f27,f32]) ).
fof(f32,plain,
( ! [X3] : big_f(sK1,sK0,X3)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl3_4
<=> ! [X3] : big_f(sK1,sK0,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f27,plain,
( ~ big_f(sK1,sK0,sK0)
| spl3_3 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f26,plain,
( spl3_3
<=> big_f(sK1,sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f50,plain,
( ~ spl3_6
| ~ spl3_7 ),
inference(avatar_contradiction_clause,[],[f49]) ).
fof(f49,plain,
( $false
| ~ spl3_6
| ~ spl3_7 ),
inference(resolution,[],[f44,f40]) ).
fof(f40,plain,
( ! [X2,X3] : big_f(sK0,X3,X2)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl3_6
<=> ! [X2,X3] : big_f(sK0,X3,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f44,plain,
( ! [X2,X3] : ~ big_f(X3,sK2(X2,X3),sK2(X2,X3))
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl3_7
<=> ! [X2,X3] : ~ big_f(X3,sK2(X2,X3),sK2(X2,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f48,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f47]) ).
fof(f47,plain,
( $false
| ~ spl3_5 ),
inference(resolution,[],[f15,f36]) ).
fof(f36,plain,
( ! [X3] : ~ big_f(sK0,sK0,X3)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl3_5
<=> ! [X3] : ~ big_f(sK0,sK0,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f15,plain,
! [X2,X3] : big_f(X3,X2,sK2(X2,X3)),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X2,X3] :
( ( ~ big_f(sK1,sK1,sK0)
| big_f(sK1,sK0,sK0)
| ( big_f(sK1,sK0,X3)
& ~ big_f(X2,X3,sK2(X2,X3)) ) )
& big_f(X3,X2,sK2(X2,X3))
& ( ~ big_f(sK0,sK0,X3)
| ( ( ~ big_f(sK1,sK1,sK0)
| ~ big_f(sK1,sK0,sK0) )
& ( big_f(sK1,sK1,sK0)
| big_f(sK1,sK0,sK0) ) ) )
& ( ( ~ big_f(X3,sK2(X2,X3),sK2(X2,X3))
& big_f(sK0,X3,X2) )
| ~ big_f(sK1,sK0,sK0)
| big_f(sK1,sK1,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f9,f8]) ).
fof(f8,plain,
( ? [X0,X1] :
! [X2,X3] :
? [X4] :
( ( ~ big_f(X1,X1,X0)
| big_f(X1,X0,X0)
| ( big_f(X1,X0,X3)
& ~ big_f(X2,X3,X4) ) )
& big_f(X3,X2,X4)
& ( ~ big_f(X0,X0,X3)
| ( ( ~ big_f(X1,X1,X0)
| ~ big_f(X1,X0,X0) )
& ( big_f(X1,X1,X0)
| big_f(X1,X0,X0) ) ) )
& ( ( ~ big_f(X3,X4,X4)
& big_f(X0,X3,X2) )
| ~ big_f(X1,X0,X0)
| big_f(X1,X1,X0) ) )
=> ! [X3,X2] :
? [X4] :
( ( ~ big_f(sK1,sK1,sK0)
| big_f(sK1,sK0,sK0)
| ( big_f(sK1,sK0,X3)
& ~ big_f(X2,X3,X4) ) )
& big_f(X3,X2,X4)
& ( ~ big_f(sK0,sK0,X3)
| ( ( ~ big_f(sK1,sK1,sK0)
| ~ big_f(sK1,sK0,sK0) )
& ( big_f(sK1,sK1,sK0)
| big_f(sK1,sK0,sK0) ) ) )
& ( ( ~ big_f(X3,X4,X4)
& big_f(sK0,X3,X2) )
| ~ big_f(sK1,sK0,sK0)
| big_f(sK1,sK1,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
! [X2,X3] :
( ? [X4] :
( ( ~ big_f(sK1,sK1,sK0)
| big_f(sK1,sK0,sK0)
| ( big_f(sK1,sK0,X3)
& ~ big_f(X2,X3,X4) ) )
& big_f(X3,X2,X4)
& ( ~ big_f(sK0,sK0,X3)
| ( ( ~ big_f(sK1,sK1,sK0)
| ~ big_f(sK1,sK0,sK0) )
& ( big_f(sK1,sK1,sK0)
| big_f(sK1,sK0,sK0) ) ) )
& ( ( ~ big_f(X3,X4,X4)
& big_f(sK0,X3,X2) )
| ~ big_f(sK1,sK0,sK0)
| big_f(sK1,sK1,sK0) ) )
=> ( ( ~ big_f(sK1,sK1,sK0)
| big_f(sK1,sK0,sK0)
| ( big_f(sK1,sK0,X3)
& ~ big_f(X2,X3,sK2(X2,X3)) ) )
& big_f(X3,X2,sK2(X2,X3))
& ( ~ big_f(sK0,sK0,X3)
| ( ( ~ big_f(sK1,sK1,sK0)
| ~ big_f(sK1,sK0,sK0) )
& ( big_f(sK1,sK1,sK0)
| big_f(sK1,sK0,sK0) ) ) )
& ( ( ~ big_f(X3,sK2(X2,X3),sK2(X2,X3))
& big_f(sK0,X3,X2) )
| ~ big_f(sK1,sK0,sK0)
| big_f(sK1,sK1,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
? [X0,X1] :
! [X2,X3] :
? [X4] :
( ( ~ big_f(X1,X1,X0)
| big_f(X1,X0,X0)
| ( big_f(X1,X0,X3)
& ~ big_f(X2,X3,X4) ) )
& big_f(X3,X2,X4)
& ( ~ big_f(X0,X0,X3)
| ( ( ~ big_f(X1,X1,X0)
| ~ big_f(X1,X0,X0) )
& ( big_f(X1,X1,X0)
| big_f(X1,X0,X0) ) ) )
& ( ( ~ big_f(X3,X4,X4)
& big_f(X0,X3,X2) )
| ~ big_f(X1,X0,X0)
| big_f(X1,X1,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,plain,
? [X0,X1] :
! [X3,X2] :
? [X4] :
( ( ~ big_f(X1,X1,X0)
| big_f(X1,X0,X0)
| ( big_f(X1,X0,X2)
& ~ big_f(X3,X2,X4) ) )
& big_f(X2,X3,X4)
& ( ~ big_f(X0,X0,X2)
| ( ( ~ big_f(X1,X1,X0)
| ~ big_f(X1,X0,X0) )
& ( big_f(X1,X1,X0)
| big_f(X1,X0,X0) ) ) )
& ( ( ~ big_f(X2,X4,X4)
& big_f(X0,X2,X3) )
| ~ big_f(X1,X0,X0)
| big_f(X1,X1,X0) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0,X1] :
! [X3,X2] :
? [X4] :
( ( ~ big_f(X1,X1,X0)
| big_f(X1,X0,X0)
| ( big_f(X1,X0,X2)
& ~ big_f(X3,X2,X4) ) )
& big_f(X2,X3,X4)
& ( ~ big_f(X0,X0,X2)
| ( big_f(X1,X0,X0)
<~> big_f(X1,X1,X0) ) )
& ( ( ~ big_f(X2,X4,X4)
& big_f(X0,X2,X3) )
| ~ big_f(X1,X0,X0)
| big_f(X1,X1,X0) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
? [X1,X0] :
! [X2,X3] :
? [X4] :
( ( ~ big_f(X0,X0,X2)
| ( big_f(X1,X0,X0)
<~> big_f(X1,X1,X0) ) )
& big_f(X2,X3,X4)
& ( big_f(X1,X1,X0)
| ~ big_f(X1,X0,X0)
| ( ~ big_f(X2,X4,X4)
& big_f(X0,X2,X3) ) )
& ( big_f(X1,X0,X0)
| ~ big_f(X1,X1,X0)
| ( big_f(X1,X0,X2)
& ~ big_f(X3,X2,X4) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ! [X1,X0] :
? [X2,X3] :
! [X4] :
( ( ( big_f(X1,X0,X2)
=> big_f(X3,X2,X4) )
=> ( big_f(X1,X1,X0)
=> big_f(X1,X0,X0) ) )
=> ( ( ( big_f(X0,X2,X3)
=> big_f(X2,X4,X4) )
=> ( big_f(X1,X0,X0)
=> big_f(X1,X1,X0) ) )
=> ( big_f(X2,X3,X4)
=> ( ( big_f(X1,X0,X0)
<=> big_f(X1,X1,X0) )
& big_f(X0,X0,X2) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X1,X0] :
? [X2,X3] :
! [X4] :
( ( ( big_f(X0,X1,X2)
=> big_f(X3,X2,X4) )
=> ( big_f(X0,X0,X1)
=> big_f(X0,X1,X1) ) )
=> ( ( ( big_f(X1,X2,X3)
=> big_f(X2,X4,X4) )
=> ( big_f(X0,X1,X1)
=> big_f(X0,X0,X1) ) )
=> ( big_f(X2,X3,X4)
=> ( big_f(X1,X1,X2)
& ( big_f(X0,X0,X1)
<=> big_f(X0,X1,X1) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X1,X0] :
? [X2,X3] :
! [X4] :
( ( ( big_f(X0,X1,X2)
=> big_f(X3,X2,X4) )
=> ( big_f(X0,X0,X1)
=> big_f(X0,X1,X1) ) )
=> ( ( ( big_f(X1,X2,X3)
=> big_f(X2,X4,X4) )
=> ( big_f(X0,X1,X1)
=> big_f(X0,X0,X1) ) )
=> ( big_f(X2,X3,X4)
=> ( big_f(X1,X1,X2)
& ( big_f(X0,X0,X1)
<=> big_f(X0,X1,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_16_4) ).
fof(f46,plain,
( spl3_5
| ~ spl3_1
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f14,f26,f19,f35]) ).
fof(f19,plain,
( spl3_1
<=> big_f(sK1,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f14,plain,
! [X3] :
( ~ big_f(sK1,sK0,sK0)
| ~ big_f(sK1,sK1,sK0)
| ~ big_f(sK0,sK0,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f45,plain,
( spl3_7
| ~ spl3_3
| spl3_1 ),
inference(avatar_split_clause,[],[f12,f19,f26,f43]) ).
fof(f12,plain,
! [X2,X3] :
( big_f(sK1,sK1,sK0)
| ~ big_f(sK1,sK0,sK0)
| ~ big_f(X3,sK2(X2,X3),sK2(X2,X3)) ),
inference(cnf_transformation,[],[f10]) ).
fof(f41,plain,
( spl3_1
| ~ spl3_3
| spl3_6 ),
inference(avatar_split_clause,[],[f11,f39,f26,f19]) ).
fof(f11,plain,
! [X2,X3] :
( big_f(sK0,X3,X2)
| ~ big_f(sK1,sK0,sK0)
| big_f(sK1,sK1,sK0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f37,plain,
( spl3_1
| spl3_3
| spl3_5 ),
inference(avatar_split_clause,[],[f13,f35,f26,f19]) ).
fof(f13,plain,
! [X3] :
( ~ big_f(sK0,sK0,X3)
| big_f(sK1,sK0,sK0)
| big_f(sK1,sK1,sK0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f33,plain,
( ~ spl3_1
| spl3_4
| spl3_3 ),
inference(avatar_split_clause,[],[f17,f26,f31,f19]) ).
fof(f17,plain,
! [X3] :
( big_f(sK1,sK0,sK0)
| big_f(sK1,sK0,X3)
| ~ big_f(sK1,sK1,sK0) ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN345+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 21:43:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (10491)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)
% 0.20/0.50 % (10491)Instruction limit reached!
% 0.20/0.50 % (10491)------------------------------
% 0.20/0.50 % (10491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (10491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (10491)Termination reason: Unknown
% 0.20/0.50 % (10491)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (10491)Memory used [KB]: 5884
% 0.20/0.50 % (10491)Time elapsed: 0.005 s
% 0.20/0.50 % (10491)Instructions burned: 2 (million)
% 0.20/0.50 % (10491)------------------------------
% 0.20/0.50 % (10491)------------------------------
% 0.20/0.50 % (10488)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (10488)First to succeed.
% 0.20/0.50 % (10483)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)
% 0.20/0.50 % (10487)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)
% 0.20/0.50 % (10473)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.50 % (10477)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 % (10480)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51 % (10497)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (10488)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (10488)------------------------------
% 0.20/0.51 % (10488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (10488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (10488)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (10488)Memory used [KB]: 5884
% 0.20/0.51 % (10488)Time elapsed: 0.117 s
% 0.20/0.51 % (10488)Instructions burned: 1 (million)
% 0.20/0.51 % (10488)------------------------------
% 0.20/0.51 % (10488)------------------------------
% 0.20/0.51 % (10472)Success in time 0.168 s
%------------------------------------------------------------------------------