TSTP Solution File: SYO039_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO039_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 : 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 : Sun May 5 12:26:05 EDT 2024
% Result : Theorem 0.15s 0.32s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 10 unt; 3 typ; 0 def)
% Number of atoms : 91 ( 31 equ)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 26 ( 14 ~; 9 |; 1 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 64 ( 62 fml; 2 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 4 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 1 ( 1 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
h: $o > $i ).
tff(func_def_3,type,
bG0: $o ).
tff(func_def_4,type,
bG1: $o ).
tff(f30,plain,
$false,
inference(trivial_inequality_removal,[],[f29]) ).
tff(f29,plain,
h($false) != h($false),
inference(superposition,[],[f14,f26]) ).
tff(f26,plain,
$false = bG1,
inference(subsumption_resolution,[],[f25,f21]) ).
tff(f21,plain,
( ( h($false) != h($true) )
| ( $false = bG1 ) ),
inference(superposition,[],[f14,f4]) ).
tff(f4,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(fool_axiom,[]) ).
tff(f25,plain,
( ( h($false) = h($true) )
| ( $false = bG1 ) ),
inference(trivial_inequality_removal,[],[f24]) ).
tff(f24,plain,
( ( $true != $true )
| ( h($false) = h($true) )
| ( $false = bG1 ) ),
inference(superposition,[],[f15,f4]) ).
tff(f15,plain,
( ( $true != bG1 )
| ( h($false) = h($true) ) ),
inference(forward_demodulation,[],[f12,f13]) ).
tff(f13,plain,
$true = bG0,
inference(cnf_transformation,[],[f8]) ).
tff(f8,plain,
$true = bG0,
inference(true_and_false_elimination,[],[f5]) ).
tff(f5,plain,
( ~ $false
<=> ( $true = bG0 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).
tff(f12,plain,
( ( h($false) = h(bG0) )
| ( $true != bG1 ) ),
inference(cnf_transformation,[],[f10]) ).
tff(f10,plain,
( ( ( h($false) = h(bG0) )
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ( h($false) != h(bG0) ) ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f6,plain,
( ( h($false) = h(bG0) )
<=> ( $true = bG1 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG1])]) ).
tff(f14,plain,
h($false) != h(bG1),
inference(cnf_transformation,[],[f9]) ).
tff(f9,plain,
h($false) != h(bG1),
inference(flattening,[],[f7]) ).
tff(f7,plain,
( ~ h($false) = h(bG1) ),
inference(fool_elimination,[],[f2,f6,f5]) ).
tff(f2,negated_conjecture,
( ~ h(h($false) = h(~ $false)) = h($false) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
h(h($false) = h(~ $false)) = h($false),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : SYO039_8 : TPTP v8.1.2. Released v8.0.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n019.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 15:53:07 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % (11211)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (11217)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)
% 0.15/0.32 % (11213)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (11214)WARNING: value z3 for option sas not known
% 0.15/0.32 % (11218)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)
% 0.15/0.32 % (11216)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)
% 0.15/0.32 % (11212)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (11214)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)
% 0.15/0.32 % (11218)First to succeed.
% 0.15/0.32 % (11217)Also succeeded, but the first one will report.
% 0.15/0.32 % (11215)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % (11218)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11211"
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 Detected minimum model sizes of [1,1]
% 0.15/0.32 Detected maximum model sizes of [max,3]
% 0.15/0.32 TRYING [1,1]
% 0.15/0.32 TRYING [1,2]
% 0.15/0.32 TRYING [3]
% 0.15/0.32 % (11218)Refutation found. Thanks to Tanya!
% 0.15/0.32 % SZS status Theorem for theBenchmark
% 0.15/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.32 % (11218)------------------------------
% 0.15/0.32 % (11218)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.32 % (11218)Termination reason: Refutation
% 0.15/0.32
% 0.15/0.32 % (11218)Memory used [KB]: 751
% 0.15/0.32 % (11218)Time elapsed: 0.003 s
% 0.15/0.32 % (11218)Instructions burned: 3 (million)
% 0.15/0.33 % (11211)Success in time 0.014 s
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