TSTP Solution File: SYO021_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO021_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 May 21 09:09:59 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 8 unt; 2 typ; 0 def)
% Number of atoms : 172 ( 71 equ)
% Maximal formula atoms : 16 ( 8 avg)
% Number of connectives : 107 ( 49 ~; 32 |; 22 &)
% ( 2 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 151 ( 103 fml; 48 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 4 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 18 ( 10 !; 8 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
sK0: $o ).
tff(func_def_3,type,
sK1: $o ).
tff(f24,plain,
$false,
inference(trivial_inequality_removal,[],[f23]) ).
tff(f23,plain,
$true != $true,
inference(superposition,[],[f22,f19]) ).
tff(f19,plain,
$true = sK1,
inference(duplicate_literal_removal,[],[f16]) ).
tff(f16,plain,
( ( $true = sK1 )
| ( $true = sK1 ) ),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
( ( ( $true != sK1 )
| ( $true != sK0 )
| ( $true != sK1 )
| ( $true != sK0 ) )
& ( ( ( $true = sK1 )
& ( $true = sK0 ) )
| ( ( $true = sK1 )
& ( $true = sK0 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f11]) ).
tff(f11,plain,
( ? [X0: $o,X1: $o] :
( ( ( $true != (X1) )
| ( $true != (X0) )
| ( $true != (X1) )
| ( $true != (X0) ) )
& ( ( ( $true = (X1) )
& ( $true = (X0) ) )
| ( ( $true = (X1) )
& ( $true = (X0) ) ) ) )
=> ( ( ( $true != sK1 )
| ( $true != sK0 )
| ( $true != sK1 )
| ( $true != sK0 ) )
& ( ( ( $true = sK1 )
& ( $true = sK0 ) )
| ( ( $true = sK1 )
& ( $true = sK0 ) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f10,plain,
? [X0: $o,X1: $o] :
( ( ( $true != (X1) )
| ( $true != (X0) )
| ( $true != (X1) )
| ( $true != (X0) ) )
& ( ( ( $true = (X1) )
& ( $true = (X0) ) )
| ( ( $true = (X1) )
& ( $true = (X0) ) ) ) ),
inference(flattening,[],[f9]) ).
tff(f9,plain,
? [X0: $o,X1: $o] :
( ( ( $true != (X1) )
| ( $true != (X0) )
| ( $true != (X1) )
| ( $true != (X0) ) )
& ( ( ( $true = (X1) )
& ( $true = (X0) ) )
| ( ( $true = (X1) )
& ( $true = (X0) ) ) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f8,plain,
? [X0: $o,X1: $o] :
( ( ( $true = (X1) )
& ( $true = (X0) ) )
<~> ( ( $true = (X1) )
& ( $true = (X0) ) ) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
~ ! [X0: $o,X1: $o] :
( ( ( $true = (X1) )
& ( $true = (X0) ) )
<=> ~ ( ( $true != (X1) )
| ( $true != (X0) ) ) ),
inference(flattening,[],[f6]) ).
tff(f6,plain,
~ ! [X0: $o,X1: $o] :
( ( ( $true = (X1) )
& ( $true = (X0) ) )
<=> ~ ( ( $true != (X1) )
| ( $true != (X0) ) ) ),
inference(fool_elimination,[],[f5]) ).
tff(f5,plain,
~ ! [X0: $o,X1: $o] :
( (X1)
& ( (X0)
= ( ~ ( ~ (X1)
| ~ (X0) ) ) ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $o,X1: $o] :
( (X1)
& ( (X0)
= ( ~ ( ~ (X1)
| ~ (X0) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $o,X1: $o] :
( (X1)
& ( (X0)
= ( ~ ( ~ (X1)
| ~ (X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
tff(f22,plain,
$true != sK1,
inference(trivial_inequality_removal,[],[f21]) ).
tff(f21,plain,
( ( $true != $true )
| ( $true != sK1 ) ),
inference(backward_demodulation,[],[f20,f18]) ).
tff(f18,plain,
$true = sK0,
inference(duplicate_literal_removal,[],[f13]) ).
tff(f13,plain,
( ( $true = sK0 )
| ( $true = sK0 ) ),
inference(cnf_transformation,[],[f12]) ).
tff(f20,plain,
( ( $true != sK1 )
| ( $true != sK0 ) ),
inference(duplicate_literal_removal,[],[f17]) ).
tff(f17,plain,
( ( $true != sK1 )
| ( $true != sK0 )
| ( $true != sK1 )
| ( $true != sK0 ) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO021_8 : TPTP v8.2.0. Released v8.0.0.
% 0.07/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 09:02:23 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (2295)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (2298)WARNING: value z3 for option sas not known
% 0.14/0.36 % (2299)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (2297)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (2298)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)
% 0.14/0.36 % (2301)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)
% 0.14/0.36 Detected minimum model sizes of [1]
% 0.14/0.36 Detected maximum model sizes of [4]
% 0.14/0.36 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 Detected minimum model sizes of [1]
% 0.14/0.37 Detected maximum model sizes of [4]
% 0.14/0.37 % (2302)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)
% 0.14/0.37 % (2301)First to succeed.
% 0.14/0.37 % (2298)Also succeeded, but the first one will report.
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 % (2301)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2295"
% 0.14/0.37 TRYING [4]
% 0.14/0.37 % (2297)Also succeeded, but the first one will report.
% 0.14/0.37 % (2299)Also succeeded, but the first one will report.
% 0.14/0.37 % (2302)Also succeeded, but the first one will report.
% 0.14/0.37 % (2301)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (2301)------------------------------
% 0.14/0.37 % (2301)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (2301)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (2301)Memory used [KB]: 746
% 0.14/0.37 % (2301)Time elapsed: 0.005 s
% 0.14/0.37 % (2301)Instructions burned: 3 (million)
% 0.14/0.37 % (2295)Success in time 0.011 s
%------------------------------------------------------------------------------