TSTP Solution File: COM007+2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COM007+2 : TPTP v8.1.0. Released v3.2.0.
% 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 : 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 15:53:07 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 59 ( 10 unt; 0 def)
% Number of atoms : 147 ( 13 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 157 ( 69 ~; 65 |; 12 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 77 ( 71 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f223,plain,
$false,
inference(avatar_sat_refutation,[],[f65,f166,f221]) ).
fof(f221,plain,
( ~ spl1_3
| ~ spl1_5 ),
inference(avatar_contradiction_clause,[],[f220]) ).
fof(f220,plain,
( $false
| ~ spl1_3
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f194,f28]) ).
fof(f28,plain,
reflexive_rewrite(a,c),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( reflexive_rewrite(a,b)
& reflexive_rewrite(a,c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption) ).
fof(f194,plain,
( ~ reflexive_rewrite(a,c)
| ~ spl1_3
| ~ spl1_5 ),
inference(backward_demodulation,[],[f36,f191]) ).
fof(f191,plain,
( a = b
| ~ spl1_3
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f190,f29]) ).
fof(f29,plain,
reflexive_rewrite(a,b),
inference(cnf_transformation,[],[f1]) ).
fof(f190,plain,
( ~ reflexive_rewrite(a,b)
| a = b
| ~ spl1_3
| ~ spl1_5 ),
inference(resolution,[],[f189,f33]) ).
fof(f33,plain,
! [X0,X1] :
( rewrite(X0,X1)
| X0 = X1
| ~ reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ~ reflexive_rewrite(X0,X1)
| rewrite(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( X0 = X1
| rewrite(X0,X1)
| ~ reflexive_rewrite(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( reflexive_rewrite(X0,X1)
=> ( X0 = X1
| rewrite(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_or_rewrite) ).
fof(f189,plain,
( ~ rewrite(a,b)
| ~ spl1_3
| ~ spl1_5 ),
inference(resolution,[],[f64,f92]) ).
fof(f92,plain,
( rewrite(a,c)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl1_5
<=> rewrite(a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f64,plain,
( ! [X0] :
( ~ rewrite(X0,c)
| ~ rewrite(X0,b) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl1_3
<=> ! [X0] :
( ~ rewrite(X0,b)
| ~ rewrite(X0,c) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f36,plain,
~ reflexive_rewrite(b,c),
inference(resolution,[],[f35,f34]) ).
fof(f34,plain,
! [X1] : reflexive_rewrite(X1,X1),
inference(equality_resolution,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( X0 != X1
| reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( X0 != X1
| reflexive_rewrite(X0,X1) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X1,X0] :
( X0 != X1
| reflexive_rewrite(X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( X0 = X1
=> reflexive_rewrite(X1,X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( X0 = X1
=> reflexive_rewrite(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_in_reflexive_rewrite) ).
fof(f35,plain,
! [X0] :
( ~ reflexive_rewrite(c,X0)
| ~ reflexive_rewrite(b,X0) ),
inference(subsumption_resolution,[],[f31,f25]) ).
fof(f25,plain,
~ goal,
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
~ goal,
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ goal,
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(f31,plain,
! [X0] :
( ~ reflexive_rewrite(c,X0)
| ~ reflexive_rewrite(b,X0)
| goal ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( ~ reflexive_rewrite(c,X0)
| goal
| ~ reflexive_rewrite(b,X0) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
! [X0] :
( goal
| ~ reflexive_rewrite(c,X0)
| ~ reflexive_rewrite(b,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ( reflexive_rewrite(c,X0)
& reflexive_rewrite(b,X0) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_ax) ).
fof(f166,plain,
spl1_5,
inference(avatar_contradiction_clause,[],[f165]) ).
fof(f165,plain,
( $false
| spl1_5 ),
inference(subsumption_resolution,[],[f162,f29]) ).
fof(f162,plain,
( ~ reflexive_rewrite(a,b)
| spl1_5 ),
inference(resolution,[],[f112,f34]) ).
fof(f112,plain,
( ! [X0] :
( ~ reflexive_rewrite(b,X0)
| ~ reflexive_rewrite(a,X0) )
| spl1_5 ),
inference(backward_demodulation,[],[f35,f110]) ).
fof(f110,plain,
( a = c
| spl1_5 ),
inference(subsumption_resolution,[],[f109,f28]) ).
fof(f109,plain,
( ~ reflexive_rewrite(a,c)
| a = c
| spl1_5 ),
inference(resolution,[],[f93,f33]) ).
fof(f93,plain,
( ~ rewrite(a,c)
| spl1_5 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f65,plain,
( spl1_3
| spl1_3 ),
inference(avatar_split_clause,[],[f43,f63,f63]) ).
fof(f43,plain,
! [X0,X1] :
( ~ rewrite(X1,b)
| ~ rewrite(X0,b)
| ~ rewrite(X1,c)
| ~ rewrite(X0,c) ),
inference(resolution,[],[f40,f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( reflexive_rewrite(X2,sK0(X1,X2))
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(resolution,[],[f27,f32]) ).
fof(f32,plain,
! [X0,X1] :
( ~ rewrite(X1,X0)
| reflexive_rewrite(X1,X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( reflexive_rewrite(X1,X0)
| ~ rewrite(X1,X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X1,X0] :
( rewrite(X1,X0)
=> reflexive_rewrite(X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( rewrite(X0,X1)
=> reflexive_rewrite(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_in_reflexive_rewrite) ).
fof(f27,plain,
! [X2,X0,X1] :
( rewrite(X2,sK0(X0,X2))
| ~ rewrite(X1,X0)
| ~ rewrite(X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( rewrite(X2,sK0(X0,X2))
& rewrite(X0,sK0(X0,X2)) )
| ~ rewrite(X1,X2)
| ~ rewrite(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f22]) ).
fof(f22,plain,
! [X0,X2] :
( ? [X3] :
( rewrite(X2,X3)
& rewrite(X0,X3) )
=> ( rewrite(X2,sK0(X0,X2))
& rewrite(X0,sK0(X0,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ? [X3] :
( rewrite(X2,X3)
& rewrite(X0,X3) )
| ~ rewrite(X1,X2)
| ~ rewrite(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X1,X2,X0] :
( ? [X3] :
( rewrite(X0,X3)
& rewrite(X1,X3) )
| ~ rewrite(X2,X0)
| ~ rewrite(X2,X1) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X2,X1,X0] :
( ? [X3] :
( rewrite(X0,X3)
& rewrite(X1,X3) )
| ~ rewrite(X2,X0)
| ~ rewrite(X2,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X2,X1,X0] :
( ( rewrite(X2,X0)
& rewrite(X2,X1) )
=> ? [X3] :
( rewrite(X0,X3)
& rewrite(X1,X3) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X2,X0] :
( ( rewrite(X0,X2)
& rewrite(X0,X1) )
=> ? [X3] :
( rewrite(X2,X3)
& rewrite(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_diamond) ).
fof(f40,plain,
! [X0,X1] :
( ~ rewrite(X0,c)
| ~ rewrite(X0,X1)
| ~ reflexive_rewrite(b,sK0(c,X1)) ),
inference(resolution,[],[f38,f35]) ).
fof(f38,plain,
! [X2,X0,X1] :
( reflexive_rewrite(X1,sK0(X1,X2))
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(resolution,[],[f26,f32]) ).
fof(f26,plain,
! [X2,X0,X1] :
( rewrite(X0,sK0(X0,X2))
| ~ rewrite(X1,X0)
| ~ rewrite(X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM007+2 : TPTP v8.1.0. Released v3.2.0.
% 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 : n006.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 : Mon Aug 29 17:00:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 % (9825)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.46 % (9825)Refutation not found, incomplete strategy% (9825)------------------------------
% 0.20/0.46 % (9825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (9842)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.48 % (9825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (9825)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48
% 0.20/0.48 % (9825)Memory used [KB]: 1407
% 0.20/0.48 % (9825)Time elapsed: 0.079 s
% 0.20/0.48 % (9825)Instructions burned: 1 (million)
% 0.20/0.48 % (9825)------------------------------
% 0.20/0.48 % (9825)------------------------------
% 0.20/0.48 % (9832)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.48 % (9832)Refutation not found, incomplete strategy% (9832)------------------------------
% 0.20/0.48 % (9832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (9832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (9832)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48
% 0.20/0.48 % (9832)Memory used [KB]: 5884
% 0.20/0.48 % (9832)Time elapsed: 0.100 s
% 0.20/0.48 % (9832)Instructions burned: 2 (million)
% 0.20/0.48 % (9832)------------------------------
% 0.20/0.48 % (9832)------------------------------
% 0.20/0.49 % (9842)First to succeed.
% 0.20/0.49 % (9840)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.49 % (9842)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (9842)------------------------------
% 0.20/0.49 % (9842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (9842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (9842)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (9842)Memory used [KB]: 6012
% 0.20/0.49 % (9842)Time elapsed: 0.109 s
% 0.20/0.49 % (9842)Instructions burned: 11 (million)
% 0.20/0.49 % (9842)------------------------------
% 0.20/0.49 % (9842)------------------------------
% 0.20/0.49 % (9812)Success in time 0.145 s
%------------------------------------------------------------------------------