TSTP Solution File: SYO501_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO501_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 : Sun May 5 12:27:42 EDT 2024
% Result : Theorem 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 55 ( 3 unt; 3 typ; 0 def)
% Number of atoms : 204 ( 32 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 108 ( 48 ~; 49 |; 3 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 94 ( 92 fml; 2 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 14 ( 11 usr; 12 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 1 ( 1 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_1,type,
f: ( $i * $o ) > $i ).
tff(func_def_4,type,
bG0: $o ).
tff(func_def_5,type,
bG1: $o ).
tff(f78,plain,
$false,
inference(avatar_sat_refutation,[],[f25,f26,f31,f32,f50,f51,f56,f57,f67,f70,f77]) ).
tff(f77,plain,
( ~ spl2_1
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f76]) ).
tff(f76,plain,
( $false
| ~ spl2_1
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f73]) ).
tff(f73,plain,
( ( $true = $false )
| ~ spl2_1
| ~ spl2_4 ),
inference(backward_demodulation,[],[f19,f45]) ).
tff(f45,plain,
( ( $false = bG1 )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f43]) ).
tff(f43,plain,
( spl2_4
<=> ( $false = bG1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
tff(f19,plain,
( ( $true = bG1 )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f18]) ).
tff(f18,plain,
( spl2_1
<=> ( $true = bG1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f70,plain,
( ~ spl2_3
| ~ spl2_6 ),
inference(avatar_contradiction_clause,[],[f69]) ).
tff(f69,plain,
( $false
| ~ spl2_3
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f68]) ).
tff(f68,plain,
( ( $true = $false )
| ~ spl2_3
| ~ spl2_6 ),
inference(forward_demodulation,[],[f29,f55]) ).
tff(f55,plain,
( ( $false = bG0 )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f53]) ).
tff(f53,plain,
( spl2_6
<=> ( $false = bG0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
tff(f29,plain,
( ( $true = bG0 )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f28]) ).
tff(f28,plain,
( spl2_3
<=> ( $true = bG0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
tff(f67,plain,
( ~ spl2_4
| ~ spl2_6 ),
inference(avatar_contradiction_clause,[],[f66]) ).
tff(f66,plain,
( $false
| ~ spl2_4
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f62,f58]) ).
tff(f58,plain,
( ~ p(f(x,$false))
| ~ spl2_4 ),
inference(backward_demodulation,[],[f16,f45]) ).
tff(f16,plain,
~ p(f(x,bG1)),
inference(cnf_transformation,[],[f8]) ).
tff(f8,plain,
( ~ p(f(x,bG1))
& p(f(x,bG0)) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
~ ( p(f(x,bG1))
| ~ p(f(x,bG0)) ),
inference(fool_elimination,[],[f2,f6,f5]) ).
tff(f5,plain,
( y
<=> ( $true = bG0 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).
tff(f6,plain,
( y
<=> ( $true = bG1 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG1])]) ).
tff(f2,negated_conjecture,
~ ( p(f(x,y))
| ~ p(f(x,y)) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( p(f(x,y))
| ~ p(f(x,y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',claim) ).
tff(f62,plain,
( p(f(x,$false))
| ~ spl2_6 ),
inference(backward_demodulation,[],[f15,f55]) ).
tff(f15,plain,
p(f(x,bG0)),
inference(cnf_transformation,[],[f8]) ).
tff(f57,plain,
( spl2_6
| spl2_3 ),
inference(avatar_split_clause,[],[f40,f28,f53]) ).
tff(f40,plain,
( ( $false = bG0 )
| spl2_3 ),
inference(trivial_inequality_removal,[],[f38]) ).
tff(f38,plain,
( ( $true != $true )
| ( $false = bG0 )
| spl2_3 ),
inference(superposition,[],[f30,f4]) ).
tff(f4,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(fool_axiom,[]) ).
tff(f30,plain,
( ( $true != bG0 )
| spl2_3 ),
inference(avatar_component_clause,[],[f28]) ).
tff(f56,plain,
( spl2_6
| spl2_5 ),
inference(avatar_split_clause,[],[f37,f47,f53]) ).
tff(f47,plain,
( spl2_5
<=> p(f(x,$true)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
tff(f37,plain,
( p(f(x,$true))
| ( $false = bG0 ) ),
inference(superposition,[],[f15,f4]) ).
tff(f51,plain,
( spl2_4
| spl2_1 ),
inference(avatar_split_clause,[],[f41,f18,f43]) ).
tff(f41,plain,
( ( $false = bG1 )
| spl2_1 ),
inference(trivial_inequality_removal,[],[f36]) ).
tff(f36,plain,
( ( $true != $true )
| ( $false = bG1 )
| spl2_1 ),
inference(superposition,[],[f20,f4]) ).
tff(f20,plain,
( ( $true != bG1 )
| spl2_1 ),
inference(avatar_component_clause,[],[f18]) ).
tff(f50,plain,
( spl2_4
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f35,f47,f43]) ).
tff(f35,plain,
( ~ p(f(x,$true))
| ( $false = bG1 ) ),
inference(superposition,[],[f16,f4]) ).
tff(f32,plain,
( ~ spl2_2
| spl2_3 ),
inference(avatar_split_clause,[],[f13,f28,f22]) ).
tff(f22,plain,
( spl2_2
<=> y ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f13,plain,
( ( $true = bG0 )
| ~ y ),
inference(cnf_transformation,[],[f10]) ).
tff(f10,plain,
( ( y
| ( $true != bG0 ) )
& ( ( $true = bG0 )
| ~ y ) ),
inference(nnf_transformation,[],[f5]) ).
tff(f31,plain,
( ~ spl2_3
| spl2_2 ),
inference(avatar_split_clause,[],[f14,f22,f28]) ).
tff(f14,plain,
( y
| ( $true != bG0 ) ),
inference(cnf_transformation,[],[f10]) ).
tff(f26,plain,
( ~ spl2_2
| spl2_1 ),
inference(avatar_split_clause,[],[f11,f18,f22]) ).
tff(f11,plain,
( ( $true = bG1 )
| ~ y ),
inference(cnf_transformation,[],[f9]) ).
tff(f9,plain,
( ( y
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ~ y ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f25,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f12,f22,f18]) ).
tff(f12,plain,
( y
| ( $true != bG1 ) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYO501_8 : TPTP v8.1.2. Released v8.0.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n011.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 16:08:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (27932)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (27933)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.38 % (27934)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38 % (27935)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)
% 0.16/0.38 % (27936)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.38 % (27938)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.38 % (27939)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)
% 0.16/0.38 % (27937)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.38 Detected minimum model sizes of [1,1]
% 0.16/0.38 Detected minimum model sizes of [1,1,1]
% 0.16/0.38 Detected maximum model sizes of [max,4]
% 0.16/0.38 Detected maximum model sizes of [1,max,4]
% 0.16/0.38 TRYING [1,1]
% 0.16/0.38 TRYING [1,1,1]
% 0.16/0.38 Detected minimum model sizes of [1,1,1]
% 0.16/0.38 Detected maximum model sizes of [1,max,4]
% 0.16/0.38 TRYING [1,2]
% 0.16/0.38 TRYING [1,1,2]
% 0.16/0.38 TRYING [1,1,1]
% 0.16/0.38 Detected minimum model sizes of [1,1]
% 0.16/0.38 Detected maximum model sizes of [max,4]
% 0.16/0.38 TRYING [1,1]
% 0.16/0.38 TRYING [2,2]
% 0.16/0.38 TRYING [1,2,2]
% 0.16/0.38 TRYING [1,1,2]
% 0.16/0.38 TRYING [1,2]
% 0.16/0.38 TRYING [1,2,2]
% 0.16/0.38 TRYING [3,2]
% 0.16/0.38 TRYING [1,3,2]
% 0.16/0.38 TRYING [2,2]
% 0.16/0.38 TRYING [1,3,2]
% 0.16/0.38 TRYING [2,3]
% 0.16/0.38 TRYING [1,2,3]
% 0.16/0.38 TRYING [3,2]
% 0.16/0.38 TRYING [1,2,3]
% 0.16/0.38 TRYING [3,3]
% 0.16/0.38 TRYING [1,3,3]
% 0.16/0.38 TRYING [2,3]
% 0.16/0.38 TRYING [1,3,3]
% 0.16/0.38 TRYING [2,4]
% 0.16/0.38 TRYING [1,2,4]
% 0.16/0.38 TRYING [3,3]
% 0.16/0.38 % (27938)First to succeed.
% 0.16/0.38 % (27935)Also succeeded, but the first one will report.
% 0.16/0.38 TRYING [1,2,4]
% 0.16/0.38 TRYING [1,3,4]
% 0.16/0.38 TRYING [3,4]
% 0.16/0.38 TRYING [2,4]
% 0.16/0.38 TRYING [1,3,4]
% 0.16/0.38 TRYING [1,4,2]
% 0.16/0.38 TRYING [4,2]
% 0.16/0.39 TRYING [3,4]
% 0.16/0.39 % (27937)Also succeeded, but the first one will report.
% 0.16/0.39 TRYING [1,4,2]
% 0.16/0.39 TRYING [1,4,3]
% 0.16/0.39 TRYING [4,3]
% 0.16/0.39 % (27938)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27932"
% 0.16/0.39 TRYING [4,2]
% 0.16/0.39 TRYING [1,4,3]
% 0.16/0.39 TRYING [1,4,4]
% 0.16/0.39 TRYING [4,4]
% 0.16/0.39 TRYING [4,3]
% 0.16/0.39 TRYING [1,4,4]
% 0.16/0.39 Cannot enumerate next child to try in an incomplete setup
% 0.16/0.39 % (27934)Refutation not found, incomplete strategy% (27934)------------------------------
% 0.16/0.39 % (27934)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.39 % (27934)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.39
% 0.16/0.39 % (27934)Memory used [KB]: 723
% 0.16/0.39 % (27934)Time elapsed: 0.005 s
% 0.16/0.39 % (27934)Instructions burned: 7 (million)
% 0.16/0.39 Cannot enumerate next child to try in an incomplete setup
% 0.16/0.39 % (27936)Refutation not found, incomplete strategy% (27936)------------------------------
% 0.16/0.39 % (27936)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.39 TRYING [4,4]
% 0.16/0.39 TRYING [5,2]
% 0.16/0.39 % (27936)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.39
% 0.16/0.39 % (27936)Memory used [KB]: 724
% 0.16/0.39 % (27936)Time elapsed: 0.005 s
% 0.16/0.39 % (27936)Instructions burned: 7 (million)
% 0.16/0.39 % (27938)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Theorem for theBenchmark
% 0.16/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.39 % (27938)------------------------------
% 0.16/0.39 % (27938)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.39 % (27938)Termination reason: Refutation
% 0.16/0.39
% 0.16/0.39 % (27938)Memory used [KB]: 752
% 0.16/0.39 % (27938)Time elapsed: 0.005 s
% 0.16/0.39 % (27938)Instructions burned: 4 (million)
% 0.16/0.39 % (27932)Success in time 0.019 s
%------------------------------------------------------------------------------