TSTP Solution File: SYN415+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN415+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 : Tue Apr 30 18:03:13 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 71 ( 2 unt; 0 def)
% Number of atoms : 263 ( 48 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 311 ( 119 ~; 122 |; 48 &)
% ( 9 <=>; 10 =>; 0 <=; 3 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 92 ( 62 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97,plain,
$false,
inference(avatar_sat_refutation,[],[f36,f47,f71,f87,f90,f91,f96]) ).
fof(f96,plain,
( spl6_3
| spl6_1
| ~ spl6_4
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f95,f84,f44,f29,f41]) ).
fof(f41,plain,
( spl6_3
<=> ! [X2] : ~ f(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f29,plain,
( spl6_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f44,plain,
( spl6_4
<=> f(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f84,plain,
( spl6_5
<=> f(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f95,plain,
( ! [X2] : ~ f(X2)
| spl6_1
| ~ spl6_4
| ~ spl6_5 ),
inference(subsumption_resolution,[],[f73,f93]) ).
fof(f93,plain,
( sK1 = sK2
| spl6_1
| ~ spl6_4
| ~ spl6_5 ),
inference(forward_demodulation,[],[f92,f81]) ).
fof(f81,plain,
( sK1 = sK5
| spl6_1
| ~ spl6_4 ),
inference(resolution,[],[f78,f46]) ).
fof(f46,plain,
( f(sK1)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f78,plain,
( ! [X3] :
( ~ f(X3)
| sK5 = X3 )
| spl6_1 ),
inference(global_subsumption,[],[f24,f30,f37,f39,f19,f20,f72,f23,f73,f27,f74,f22,f75,f21,f76,f26,f77,f25]) ).
fof(f25,plain,
! [X3] :
( sK5 = X3
| ~ f(X3)
| sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( ! [X0] :
( ( sK4(X0) != X0
& f(sK4(X0)) )
| ~ f(X0) )
| ~ sP0 )
& ( ( ! [X3] :
( sK5 = X3
| ~ f(X3) )
& f(sK5) )
| sP0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f15,f17,f16]) ).
fof(f16,plain,
! [X0] :
( ? [X1] :
( X0 != X1
& f(X1) )
=> ( sK4(X0) != X0
& f(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X2] :
( ! [X3] :
( X2 = X3
| ~ f(X3) )
& f(X2) )
=> ( ! [X3] :
( sK5 = X3
| ~ f(X3) )
& f(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ( ! [X0] :
( ? [X1] :
( X0 != X1
& f(X1) )
| ~ f(X0) )
| ~ sP0 )
& ( ? [X2] :
( ! [X3] :
( X2 = X3
| ~ f(X3) )
& f(X2) )
| sP0 ) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
( ( ! [X3] :
( ? [X4] :
( X3 != X4
& f(X4) )
| ~ f(X3) )
| ~ sP0 )
& ( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ f(X4) )
& f(X3) )
| sP0 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
( sP0
<~> ? [X3] :
( ! [X4] :
( X3 = X4
| ~ f(X4) )
& f(X3) ) ),
inference(definition_folding,[],[f5,f6]) ).
fof(f6,plain,
( sP0
<=> ( ! [X0,X1] :
( X0 = X1
| ~ f(X1)
| ~ f(X0) )
& ? [X2] : f(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f5,plain,
( ( ! [X0,X1] :
( X0 = X1
| ~ f(X1)
| ~ f(X0) )
& ? [X2] : f(X2) )
<~> ? [X3] :
( ! [X4] :
( X3 = X4
| ~ f(X4) )
& f(X3) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ( ! [X0,X1] :
( X0 = X1
| ~ f(X1)
| ~ f(X0) )
& ? [X2] : f(X2) )
<~> ? [X3] :
( ! [X4] :
( X3 = X4
| ~ f(X4) )
& f(X3) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X0,X1] :
( ( f(X1)
& f(X0) )
=> X0 = X1 )
& ? [X2] : f(X2) )
<=> ? [X3] :
( ! [X4] :
( f(X4)
=> X3 = X4 )
& f(X3) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X1,X2] :
( ( f(X2)
& f(X1) )
=> X1 = X2 )
& ? [X0] : f(X0) )
<=> ? [X3] :
( ! [X4] :
( f(X4)
=> X3 = X4 )
& f(X3) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X1,X2] :
( ( f(X2)
& f(X1) )
=> X1 = X2 )
& ? [X0] : f(X0) )
<=> ? [X3] :
( ! [X4] :
( f(X4)
=> X3 = X4 )
& f(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish317) ).
fof(f77,plain,
( ~ sP0
| spl6_1 ),
inference(global_subsumption,[],[f24,f30,f37,f39,f25,f19,f20,f72,f23,f73,f27,f74,f22,f75,f21,f76,f26]) ).
fof(f26,plain,
! [X0] :
( f(sK4(X0))
| ~ f(X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f76,plain,
( ! [X2] :
( f(sK1)
| ~ f(X2) )
| spl6_1 ),
inference(global_subsumption,[],[f24,f30,f37,f39,f26,f25,f19,f20,f72,f23,f73,f27,f74,f22,f75,f21]) ).
fof(f21,plain,
! [X2] :
( sP0
| f(sK1)
| ~ f(X2) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( sP0
| ( sK1 != sK2
& f(sK2)
& f(sK1) )
| ! [X2] : ~ f(X2) )
& ( ( ! [X3,X4] :
( X3 = X4
| ~ f(X4)
| ~ f(X3) )
& f(sK3) )
| ~ sP0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f10,f12,f11]) ).
fof(f11,plain,
( ? [X0,X1] :
( X0 != X1
& f(X1)
& f(X0) )
=> ( sK1 != sK2
& f(sK2)
& f(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ? [X5] : f(X5)
=> f(sK3) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ( sP0
| ? [X0,X1] :
( X0 != X1
& f(X1)
& f(X0) )
| ! [X2] : ~ f(X2) )
& ( ( ! [X3,X4] :
( X3 = X4
| ~ f(X4)
| ~ f(X3) )
& ? [X5] : f(X5) )
| ~ sP0 ) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
( ( sP0
| ? [X0,X1] :
( X0 != X1
& f(X1)
& f(X0) )
| ! [X2] : ~ f(X2) )
& ( ( ! [X0,X1] :
( X0 = X1
| ~ f(X1)
| ~ f(X0) )
& ? [X2] : f(X2) )
| ~ sP0 ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( ( sP0
| ? [X0,X1] :
( X0 != X1
& f(X1)
& f(X0) )
| ! [X2] : ~ f(X2) )
& ( ( ! [X0,X1] :
( X0 = X1
| ~ f(X1)
| ~ f(X0) )
& ? [X2] : f(X2) )
| ~ sP0 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f75,plain,
( ! [X2] :
( f(sK2)
| ~ f(X2) )
| spl6_1 ),
inference(global_subsumption,[],[f24,f30,f37,f39,f21,f26,f25,f19,f20,f72,f23,f73,f27,f74,f22]) ).
fof(f22,plain,
! [X2] :
( sP0
| f(sK2)
| ~ f(X2) ),
inference(cnf_transformation,[],[f13]) ).
fof(f74,plain,
( ~ sP0
| spl6_1 ),
inference(global_subsumption,[],[f22,f24,f30,f37,f39,f21,f26,f25,f19,f20,f72,f23,f73,f27]) ).
fof(f27,plain,
! [X0] :
( sK4(X0) != X0
| ~ f(X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f23,plain,
! [X2] :
( sP0
| sK1 != sK2
| ~ f(X2) ),
inference(cnf_transformation,[],[f13]) ).
fof(f72,plain,
( ~ sP0
| spl6_1 ),
inference(global_subsumption,[],[f23,f22,f27,f24,f30,f37,f39,f21,f26,f25,f19,f20]) ).
fof(f20,plain,
! [X3,X4] :
( X3 = X4
| ~ f(X4)
| ~ f(X3)
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f19,plain,
( f(sK3)
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f39,plain,
( ! [X2] :
( f(sK1)
| ~ f(X2) )
| spl6_1 ),
inference(subsumption_resolution,[],[f21,f30]) ).
fof(f37,plain,
( ! [X3] :
( ~ f(X3)
| sK5 = X3 )
| spl6_1 ),
inference(subsumption_resolution,[],[f25,f30]) ).
fof(f30,plain,
( ~ sP0
| spl6_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f24,plain,
( f(sK5)
| sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f92,plain,
( sK2 = sK5
| spl6_1
| ~ spl6_5 ),
inference(resolution,[],[f86,f78]) ).
fof(f86,plain,
( f(sK2)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f73,plain,
( ! [X2] :
( sK1 != sK2
| ~ f(X2) )
| spl6_1 ),
inference(global_subsumption,[],[f22,f27,f24,f30,f37,f39,f21,f26,f25,f19,f20,f72,f23]) ).
fof(f91,plain,
( ~ spl6_2
| ~ spl6_3 ),
inference(avatar_contradiction_clause,[],[f88]) ).
fof(f88,plain,
( $false
| ~ spl6_2
| ~ spl6_3 ),
inference(resolution,[],[f42,f35]) ).
fof(f35,plain,
( f(sK5)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl6_2
<=> f(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f42,plain,
( ! [X2] : ~ f(X2)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f90,plain,
( ~ spl6_3
| ~ spl6_4 ),
inference(avatar_contradiction_clause,[],[f89]) ).
fof(f89,plain,
( $false
| ~ spl6_3
| ~ spl6_4 ),
inference(resolution,[],[f42,f46]) ).
fof(f87,plain,
( spl6_3
| spl6_5
| spl6_1 ),
inference(avatar_split_clause,[],[f75,f29,f84,f41]) ).
fof(f71,plain,
~ spl6_1,
inference(avatar_contradiction_clause,[],[f70]) ).
fof(f70,plain,
( $false
| ~ spl6_1 ),
inference(subsumption_resolution,[],[f69,f48]) ).
fof(f48,plain,
( f(sK3)
| ~ spl6_1 ),
inference(subsumption_resolution,[],[f19,f31]) ).
fof(f31,plain,
( sP0
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f69,plain,
( ~ f(sK3)
| ~ spl6_1 ),
inference(trivial_inequality_removal,[],[f67]) ).
fof(f67,plain,
( sK3 != sK3
| ~ f(sK3)
| ~ spl6_1 ),
inference(superposition,[],[f50,f64]) ).
fof(f64,plain,
( sK3 = sK4(sK3)
| ~ spl6_1 ),
inference(resolution,[],[f61,f48]) ).
fof(f61,plain,
( ! [X0] :
( ~ f(X0)
| sK3 = sK4(X0) )
| ~ spl6_1 ),
inference(resolution,[],[f53,f49]) ).
fof(f49,plain,
( ! [X0] :
( f(sK4(X0))
| ~ f(X0) )
| ~ spl6_1 ),
inference(subsumption_resolution,[],[f26,f31]) ).
fof(f53,plain,
( ! [X0] :
( ~ f(X0)
| sK3 = X0 )
| ~ spl6_1 ),
inference(resolution,[],[f51,f48]) ).
fof(f51,plain,
( ! [X3,X4] :
( ~ f(X4)
| X3 = X4
| ~ f(X3) )
| ~ spl6_1 ),
inference(subsumption_resolution,[],[f20,f31]) ).
fof(f50,plain,
( ! [X0] :
( sK4(X0) != X0
| ~ f(X0) )
| ~ spl6_1 ),
inference(subsumption_resolution,[],[f27,f31]) ).
fof(f47,plain,
( spl6_3
| spl6_4
| spl6_1 ),
inference(avatar_split_clause,[],[f39,f29,f44,f41]) ).
fof(f36,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f24,f33,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN415+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 01:54:59 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (13059)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (13063)WARNING: value z3 for option sas not known
% 0.14/0.37 % (13061)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (13062)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (13064)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (13063)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (13066)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (13065)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (13067)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 TRYING [6]
% 0.14/0.38 % (13063)First to succeed.
% 0.14/0.38 TRYING [6]
% 0.14/0.38 % (13067)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [7]
% 0.14/0.38 TRYING [7]
% 0.14/0.38 % (13063)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (13063)------------------------------
% 0.14/0.38 % (13063)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (13063)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (13063)Memory used [KB]: 784
% 0.14/0.38 % (13063)Time elapsed: 0.007 s
% 0.14/0.38 % (13063)Instructions burned: 6 (million)
% 0.14/0.38 % (13063)------------------------------
% 0.14/0.38 % (13063)------------------------------
% 0.14/0.38 % (13059)Success in time 0.022 s
%------------------------------------------------------------------------------