TSTP Solution File: COM007+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COM007+1 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Mon May 20 19:11:12 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 85 ( 11 unt; 0 def)
% Number of atoms : 220 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 231 ( 96 ~; 109 |; 10 &)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 91 ( 87 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f313,plain,
$false,
inference(avatar_sat_refutation,[],[f45,f46,f66,f84,f115,f206,f266,f283,f312]) ).
fof(f312,plain,
( ~ spl1_1
| ~ spl1_9
| ~ spl1_28 ),
inference(avatar_contradiction_clause,[],[f311]) ).
fof(f311,plain,
( $false
| ~ spl1_1
| ~ spl1_9
| ~ spl1_28 ),
inference(subsumption_resolution,[],[f308,f157]) ).
fof(f157,plain,
( ~ reflexive_rewrite(b,sK0(c,b))
| ~ spl1_1
| ~ spl1_9 ),
inference(resolution,[],[f144,f40]) ).
fof(f40,plain,
( ! [X0] :
( ~ reflexive_rewrite(c,X0)
| ~ reflexive_rewrite(b,X0) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl1_1
<=> ! [X0] :
( ~ reflexive_rewrite(c,X0)
| ~ reflexive_rewrite(b,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f144,plain,
( reflexive_rewrite(c,sK0(c,b))
| ~ spl1_9 ),
inference(resolution,[],[f114,f33]) ).
fof(f33,plain,
! [X0,X1] :
( ~ rewrite(X0,X1)
| reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( reflexive_rewrite(X0,X1)
| ~ rewrite(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( rewrite(X0,X1)
=> reflexive_rewrite(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_in_reflexive_rewrite) ).
fof(f114,plain,
( rewrite(c,sK0(c,b))
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl1_9
<=> rewrite(c,sK0(c,b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).
fof(f308,plain,
( reflexive_rewrite(b,sK0(c,b))
| ~ spl1_28 ),
inference(resolution,[],[f282,f33]) ).
fof(f282,plain,
( rewrite(b,sK0(c,b))
| ~ spl1_28 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl1_28
<=> rewrite(b,sK0(c,b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_28])]) ).
fof(f283,plain,
( spl1_5
| spl1_28
| ~ spl1_7 ),
inference(avatar_split_clause,[],[f221,f82,f280,f68]) ).
fof(f68,plain,
( spl1_5
<=> equalish(a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f82,plain,
( spl1_7
<=> ! [X0] :
( equalish(a,X0)
| rewrite(b,sK0(X0,b))
| ~ reflexive_rewrite(a,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
fof(f221,plain,
( rewrite(b,sK0(c,b))
| equalish(a,c)
| ~ spl1_7 ),
inference(resolution,[],[f83,f28]) ).
fof(f28,plain,
reflexive_rewrite(a,c),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( reflexive_rewrite(a,c)
& reflexive_rewrite(a,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption) ).
fof(f83,plain,
( ! [X0] :
( ~ reflexive_rewrite(a,X0)
| rewrite(b,sK0(X0,b))
| equalish(a,X0) )
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f266,plain,
( ~ spl1_1
| ~ spl1_5 ),
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f265,plain,
( $false
| ~ spl1_1
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f262,f48]) ).
fof(f48,plain,
! [X0] : reflexive_rewrite(X0,X0),
inference(resolution,[],[f32,f29]) ).
fof(f29,plain,
! [X0] : equalish(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : equalish(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f32,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( reflexive_rewrite(X0,X1)
| ~ equalish(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( equalish(X0,X1)
=> reflexive_rewrite(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equalish_in_reflexive_rewrite) ).
fof(f262,plain,
( ~ reflexive_rewrite(b,b)
| ~ spl1_1
| ~ spl1_5 ),
inference(resolution,[],[f258,f40]) ).
fof(f258,plain,
( reflexive_rewrite(c,b)
| ~ spl1_5 ),
inference(resolution,[],[f225,f27]) ).
fof(f27,plain,
reflexive_rewrite(a,b),
inference(cnf_transformation,[],[f1]) ).
fof(f225,plain,
( ! [X0] :
( ~ reflexive_rewrite(a,X0)
| reflexive_rewrite(c,X0) )
| ~ spl1_5 ),
inference(resolution,[],[f219,f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ reflexive_rewrite(X1,X2)
| reflexive_rewrite(X0,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( reflexive_rewrite(X0,X2)
| ~ reflexive_rewrite(X1,X2)
| ~ equalish(X0,X1) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( reflexive_rewrite(X0,X2)
| ~ reflexive_rewrite(X1,X2)
| ~ equalish(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( reflexive_rewrite(X1,X2)
& equalish(X0,X1) )
=> reflexive_rewrite(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',substitution) ).
fof(f219,plain,
( equalish(c,a)
| ~ spl1_5 ),
inference(resolution,[],[f70,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(X0,X1)
=> equalish(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmtery) ).
fof(f70,plain,
( equalish(a,c)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f206,plain,
( ~ spl1_1
| ~ spl1_3 ),
inference(avatar_contradiction_clause,[],[f205]) ).
fof(f205,plain,
( $false
| ~ spl1_1
| ~ spl1_3 ),
inference(subsumption_resolution,[],[f203,f49]) ).
fof(f49,plain,
( ~ reflexive_rewrite(b,c)
| ~ spl1_1 ),
inference(resolution,[],[f40,f48]) ).
fof(f203,plain,
( reflexive_rewrite(b,c)
| ~ spl1_3 ),
inference(resolution,[],[f127,f28]) ).
fof(f127,plain,
( ! [X0] :
( ~ reflexive_rewrite(a,X0)
| reflexive_rewrite(b,X0) )
| ~ spl1_3 ),
inference(resolution,[],[f122,f37]) ).
fof(f122,plain,
( equalish(b,a)
| ~ spl1_3 ),
inference(resolution,[],[f62,f31]) ).
fof(f62,plain,
( equalish(a,b)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl1_3
<=> equalish(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f115,plain,
( spl1_5
| spl1_9
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f89,f64,f112,f68]) ).
fof(f64,plain,
( spl1_4
<=> ! [X0] :
( equalish(a,X0)
| rewrite(X0,sK0(X0,b))
| ~ reflexive_rewrite(a,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f89,plain,
( rewrite(c,sK0(c,b))
| equalish(a,c)
| ~ spl1_4 ),
inference(resolution,[],[f65,f28]) ).
fof(f65,plain,
( ! [X0] :
( ~ reflexive_rewrite(a,X0)
| rewrite(X0,sK0(X0,b))
| equalish(a,X0) )
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f84,plain,
( spl1_3
| spl1_7 ),
inference(avatar_split_clause,[],[f78,f82,f60]) ).
fof(f78,plain,
! [X0] :
( equalish(a,X0)
| ~ reflexive_rewrite(a,X0)
| equalish(a,b)
| rewrite(b,sK0(X0,b)) ),
inference(resolution,[],[f55,f27]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ reflexive_rewrite(X2,X0)
| equalish(X2,X1)
| ~ reflexive_rewrite(X2,X1)
| equalish(X2,X0)
| rewrite(X0,sK0(X1,X0)) ),
inference(resolution,[],[f53,f34]) ).
fof(f34,plain,
! [X0,X1] :
( rewrite(X0,X1)
| equalish(X0,X1)
| ~ reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( rewrite(X0,X1)
| equalish(X0,X1)
| ~ reflexive_rewrite(X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( rewrite(X0,X1)
| equalish(X0,X1)
| ~ reflexive_rewrite(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( reflexive_rewrite(X0,X1)
=> ( rewrite(X0,X1)
| equalish(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equalish_or_rewrite) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ rewrite(X0,X1)
| rewrite(X1,sK0(X2,X1))
| equalish(X0,X2)
| ~ reflexive_rewrite(X0,X2) ),
inference(resolution,[],[f36,f34]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ rewrite(X0,X1)
| ~ rewrite(X0,X2)
| rewrite(X2,sK0(X1,X2)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( rewrite(X2,sK0(X1,X2))
& rewrite(X1,sK0(X1,X2)) )
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f24]) ).
fof(f24,plain,
! [X1,X2] :
( ? [X3] :
( rewrite(X2,X3)
& rewrite(X1,X3) )
=> ( rewrite(X2,sK0(X1,X2))
& rewrite(X1,sK0(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ? [X3] :
( rewrite(X2,X3)
& rewrite(X1,X3) )
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ? [X3] :
( rewrite(X2,X3)
& rewrite(X1,X3) )
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( rewrite(X0,X2)
& rewrite(X0,X1) )
=> ? [X3] :
( rewrite(X2,X3)
& rewrite(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_diamond) ).
fof(f66,plain,
( spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f56,f64,f60]) ).
fof(f56,plain,
! [X0] :
( equalish(a,X0)
| ~ reflexive_rewrite(a,X0)
| equalish(a,b)
| rewrite(X0,sK0(X0,b)) ),
inference(resolution,[],[f54,f27]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ reflexive_rewrite(X2,X1)
| equalish(X2,X0)
| ~ reflexive_rewrite(X2,X0)
| equalish(X2,X1)
| rewrite(X0,sK0(X0,X1)) ),
inference(resolution,[],[f52,f34]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ rewrite(X0,X1)
| rewrite(X2,sK0(X2,X1))
| equalish(X0,X2)
| ~ reflexive_rewrite(X0,X2) ),
inference(resolution,[],[f35,f34]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ rewrite(X0,X1)
| ~ rewrite(X0,X2)
| rewrite(X1,sK0(X1,X2)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f46,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f26,f42]) ).
fof(f42,plain,
( spl1_2
<=> goal ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f26,plain,
~ goal,
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
~ goal,
inference(flattening,[],[f11]) ).
fof(f11,negated_conjecture,
~ goal,
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(f45,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f30,f42,f39]) ).
fof(f30,plain,
! [X0] :
( goal
| ~ reflexive_rewrite(c,X0)
| ~ reflexive_rewrite(b,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] :
( goal
| ~ reflexive_rewrite(c,X0)
| ~ reflexive_rewrite(b,X0) ),
inference(flattening,[],[f13]) ).
fof(f13,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM007+1 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 10:35:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (19045)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (19047)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 TRYING [6]
% 0.14/0.38 % (19046)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (19049)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (19048)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38 % (19050)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (19052)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 % (19051)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [7]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [5]
% 0.14/0.39 TRYING [5]
% 0.14/0.39 TRYING [5]
% 0.14/0.39 % (19051)First to succeed.
% 0.14/0.39 TRYING [8]
% 0.14/0.39 TRYING [6]
% 0.14/0.39 % (19051)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19045"
% 0.14/0.39 TRYING [6]
% 0.14/0.39 % (19051)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (19051)------------------------------
% 0.14/0.39 % (19051)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (19051)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (19051)Memory used [KB]: 876
% 0.14/0.39 % (19051)Time elapsed: 0.009 s
% 0.14/0.39 % (19051)Instructions burned: 11 (million)
% 0.14/0.39 % (19045)Success in time 0.014 s
%------------------------------------------------------------------------------