TSTP Solution File: SYN347+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN347+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 : n026.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 1.47s 0.56s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 1 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 100 ( 40 ~; 42 |; 1 &)
% ( 15 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 50 ( 41 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84,plain,
$false,
inference(avatar_sat_refutation,[],[f18,f22,f26,f30,f56,f83]) ).
fof(f83,plain,
( ~ spl3_4
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f82]) ).
fof(f82,plain,
( $false
| ~ spl3_4
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f81,f25]) ).
fof(f25,plain,
( ! [X2,X3] :
( ~ big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f24,plain,
( spl3_4
<=> ! [X2,X3] :
( ~ big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f81,plain,
( ! [X0] : big_f(X0,sK2(X0,X0))
| ~ spl3_5 ),
inference(factoring,[],[f29]) ).
fof(f29,plain,
( ! [X2,X3] :
( big_f(X2,sK2(X2,X3))
| big_f(X3,sK2(X2,X3)) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl3_5
<=> ! [X2,X3] :
( big_f(X3,sK2(X2,X3))
| big_f(X2,sK2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f56,plain,
( ~ spl3_2
| ~ spl3_3 ),
inference(avatar_contradiction_clause,[],[f55]) ).
fof(f55,plain,
( $false
| ~ spl3_2
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f51,f38]) ).
fof(f38,plain,
( big_f(sK0,sK2(sK1,sK0))
| ~ spl3_2 ),
inference(factoring,[],[f32]) ).
fof(f32,plain,
( ! [X0] :
( big_f(sK0,sK2(sK1,X0))
| big_f(X0,sK2(sK1,X0)) )
| ~ spl3_2 ),
inference(resolution,[],[f17,f9]) ).
fof(f9,plain,
! [X2,X3] :
( big_f(sK1,sK2(X2,X3))
| big_f(sK0,sK2(X2,X3)) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,plain,
? [X1,X0] :
! [X3,X2] :
? [X4] :
( ( big_f(X1,X4)
<~> big_f(X0,X4) )
& ( big_f(X1,X0)
<~> ( big_f(X2,X4)
<=> big_f(X3,X4) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ! [X1,X0] :
? [X3,X2] :
! [X4] :
( ( big_f(X1,X4)
<=> big_f(X0,X4) )
| ( ( big_f(X2,X4)
<=> big_f(X3,X4) )
<=> big_f(X1,X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X1,X0] :
? [X2,X3] :
! [X4] :
( ( ( big_f(X2,X4)
<=> big_f(X3,X4) )
<=> big_f(X0,X1) )
| ( big_f(X1,X4)
<=> big_f(X0,X4) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X1,X0] :
? [X2,X3] :
! [X4] :
( ( ( big_f(X2,X4)
<=> big_f(X3,X4) )
<=> big_f(X0,X1) )
| ( big_f(X1,X4)
<=> big_f(X0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_17_3) ).
fof(f17,plain,
( ! [X2,X3] :
( ~ big_f(X2,sK2(X2,X3))
| big_f(X3,sK2(X2,X3)) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f16,plain,
( spl3_2
<=> ! [X2,X3] :
( big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f51,plain,
( ~ big_f(sK0,sK2(sK1,sK0))
| ~ spl3_2
| ~ spl3_3 ),
inference(unit_resulting_resolution,[],[f44,f21]) ).
fof(f21,plain,
( ! [X2,X3] :
( ~ big_f(X3,sK2(X2,X3))
| big_f(X2,sK2(X2,X3)) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f20,plain,
( spl3_3
<=> ! [X2,X3] :
( ~ big_f(X3,sK2(X2,X3))
| big_f(X2,sK2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f44,plain,
( ~ big_f(sK1,sK2(sK1,sK0))
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f38,f10]) ).
fof(f10,plain,
! [X2,X3] :
( ~ big_f(sK1,sK2(X2,X3))
| ~ big_f(sK0,sK2(X2,X3)) ),
inference(cnf_transformation,[],[f4]) ).
fof(f30,plain,
( spl3_5
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f5,f12,f28]) ).
fof(f12,plain,
( spl3_1
<=> big_f(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f5,plain,
! [X2,X3] :
( ~ big_f(sK0,sK1)
| big_f(X3,sK2(X2,X3))
| big_f(X2,sK2(X2,X3)) ),
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
( ~ spl3_1
| spl3_4 ),
inference(avatar_split_clause,[],[f6,f24,f12]) ).
fof(f6,plain,
! [X2,X3] :
( ~ big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3))
| ~ big_f(sK0,sK1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f22,plain,
( spl3_3
| spl3_1 ),
inference(avatar_split_clause,[],[f7,f12,f20]) ).
fof(f7,plain,
! [X2,X3] :
( big_f(sK0,sK1)
| ~ big_f(X3,sK2(X2,X3))
| big_f(X2,sK2(X2,X3)) ),
inference(cnf_transformation,[],[f4]) ).
fof(f18,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f8,f16,f12]) ).
fof(f8,plain,
! [X2,X3] :
( big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3))
| big_f(sK0,sK1) ),
inference(cnf_transformation,[],[f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN347+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n026.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 22:00:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.53 % (8456)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)
% 0.19/0.54 % (8457)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.47/0.55 % (8455)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.47/0.55 % (8457)First to succeed.
% 1.47/0.55 % (8465)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)
% 1.47/0.55 % (8453)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)
% 1.47/0.55 % (8458)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)
% 1.47/0.55 % (8458)Refutation not found, incomplete strategy% (8458)------------------------------
% 1.47/0.55 % (8458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (8458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (8458)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.55
% 1.47/0.55 % (8458)Memory used [KB]: 5884
% 1.47/0.55 % (8458)Time elapsed: 0.090 s
% 1.47/0.55 % (8458)Instructions burned: 2 (million)
% 1.47/0.55 % (8458)------------------------------
% 1.47/0.55 % (8458)------------------------------
% 1.47/0.55 % (8471)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)
% 1.47/0.55 % (8450)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)
% 1.47/0.56 % (8473)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)
% 1.47/0.56 % (8463)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)
% 1.47/0.56 % (8463)Instruction limit reached!
% 1.47/0.56 % (8463)------------------------------
% 1.47/0.56 % (8463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (8463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56 % (8463)Termination reason: Unknown
% 1.47/0.56 % (8463)Termination phase: Saturation
% 1.47/0.56
% 1.47/0.56 % (8463)Memory used [KB]: 5884
% 1.47/0.56 % (8463)Time elapsed: 0.141 s
% 1.47/0.56 % (8463)Instructions burned: 3 (million)
% 1.47/0.56 % (8463)------------------------------
% 1.47/0.56 % (8463)------------------------------
% 1.47/0.56 % (8457)Refutation found. Thanks to Tanya!
% 1.47/0.56 % SZS status Theorem for theBenchmark
% 1.47/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.56 % (8457)------------------------------
% 1.47/0.56 % (8457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (8457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56 % (8457)Termination reason: Refutation
% 1.47/0.56
% 1.47/0.56 % (8457)Memory used [KB]: 5884
% 1.47/0.56 % (8457)Time elapsed: 0.119 s
% 1.47/0.56 % (8457)Instructions burned: 2 (million)
% 1.47/0.56 % (8457)------------------------------
% 1.47/0.56 % (8457)------------------------------
% 1.47/0.56 % (8448)Success in time 0.208 s
%------------------------------------------------------------------------------