TSTP Solution File: SYO346_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO346_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 : n024.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 09:10:58 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 7 unt; 3 typ; 0 def)
% Number of atoms : 184 ( 39 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 83 ( 31 ~; 38 |; 10 &)
% ( 3 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 96 ( 94 fml; 2 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 1 ( 1 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
bG0: $o ).
tff(func_def_3,type,
bG1: $o ).
tff(pred_def_2,type,
cP: $o > $o ).
tff(f74,plain,
$false,
inference(resolution,[],[f73,f64]) ).
tff(f64,plain,
cP($false),
inference(backward_demodulation,[],[f19,f60]) ).
tff(f60,plain,
$false = bG0,
inference(trivial_inequality_removal,[],[f59]) ).
tff(f59,plain,
( ( $true = $false )
| ( $false = bG0 ) ),
inference(duplicate_literal_removal,[],[f50]) ).
tff(f50,plain,
( ( $true = $false )
| ( $false = bG0 )
| ( $false = bG0 ) ),
inference(superposition,[],[f48,f35]) ).
tff(f35,plain,
( ( $false = bG1 )
| ( $false = bG0 ) ),
inference(resolution,[],[f30,f28]) ).
tff(f28,plain,
( cP($true)
| ( $false = bG0 ) ),
inference(superposition,[],[f19,f4]) ).
tff(f4,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(fool_axiom,[]) ).
tff(f30,plain,
( ~ cP($true)
| ( $false = bG1 ) ),
inference(superposition,[],[f20,f4]) ).
tff(f20,plain,
~ cP(bG1),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
( ~ cP(bG1)
& cP(bG0)
& ( cA
| ~ cB )
& ( cB
| ~ cA ) ),
inference(flattening,[],[f11]) ).
tff(f11,plain,
( ~ cP(bG1)
& cP(bG0)
& ( cA
| ~ cB )
& ( cB
| ~ cA ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f8,plain,
( ~ cP(bG1)
& cP(bG0)
& ( cA
<=> cB ) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
~ ( cP(bG1)
| ~ cP(bG0)
| ( cA
<~> cB ) ),
inference(fool_elimination,[],[f2,f6,f5]) ).
tff(f5,plain,
( cA
<=> ( $true = bG0 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).
tff(f6,plain,
( cB
<=> ( $true = bG1 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG1])]) ).
tff(f2,negated_conjecture,
~ ( cP(cB)
| ~ cP(cA)
| ( cA != cB ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( cP(cB)
| ~ cP(cA)
| ( cA != cB ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM621) ).
tff(f48,plain,
( ( $true = bG1 )
| ( $false = bG0 ) ),
inference(resolution,[],[f33,f21]) ).
tff(f21,plain,
( ~ cA
| ( $true = bG1 ) ),
inference(resolution,[],[f13,f17]) ).
tff(f17,plain,
( cB
| ~ cA ),
inference(cnf_transformation,[],[f12]) ).
tff(f13,plain,
( ~ cB
| ( $true = bG1 ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f9,plain,
( ( cB
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ~ cB ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f33,plain,
( cA
| ( $false = bG0 ) ),
inference(trivial_inequality_removal,[],[f27]) ).
tff(f27,plain,
( ( $true != $true )
| cA
| ( $false = bG0 ) ),
inference(superposition,[],[f16,f4]) ).
tff(f16,plain,
( ( $true != bG0 )
| cA ),
inference(cnf_transformation,[],[f10]) ).
tff(f10,plain,
( ( cA
| ( $true != bG0 ) )
& ( ( $true = bG0 )
| ~ cA ) ),
inference(nnf_transformation,[],[f5]) ).
tff(f19,plain,
cP(bG0),
inference(cnf_transformation,[],[f12]) ).
tff(f73,plain,
~ cP($false),
inference(backward_demodulation,[],[f20,f69]) ).
tff(f69,plain,
$false = bG1,
inference(trivial_inequality_removal,[],[f66]) ).
tff(f66,plain,
( ( $true = $false )
| ( $false = bG1 ) ),
inference(backward_demodulation,[],[f41,f60]) ).
tff(f41,plain,
( ( $false = bG1 )
| ( $true = bG0 ) ),
inference(resolution,[],[f32,f23]) ).
tff(f23,plain,
( ~ cB
| ( $true = bG0 ) ),
inference(resolution,[],[f15,f18]) ).
tff(f18,plain,
( cA
| ~ cB ),
inference(cnf_transformation,[],[f12]) ).
tff(f15,plain,
( ~ cA
| ( $true = bG0 ) ),
inference(cnf_transformation,[],[f10]) ).
tff(f32,plain,
( cB
| ( $false = bG1 ) ),
inference(trivial_inequality_removal,[],[f29]) ).
tff(f29,plain,
( ( $true != $true )
| cB
| ( $false = bG1 ) ),
inference(superposition,[],[f14,f4]) ).
tff(f14,plain,
( ( $true != bG1 )
| cB ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO346_8 : TPTP v8.2.0. Released v8.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 09:42:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (16993)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (17000)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)
% 0.13/0.37 % (17000)First to succeed.
% 0.13/0.37 % (16997)WARNING: value z3 for option sas not known
% 0.13/0.37 % (16998)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (17000)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16993"
% 0.13/0.37 % (16999)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)
% 0.13/0.37 % (16995)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (17002)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)
% 0.13/0.37 % (16996)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 Detected minimum model sizes of [1]
% 0.13/0.37 Detected maximum model sizes of [4]
% 0.13/0.37 % (17000)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.37 % (17000)------------------------------
% 0.20/0.37 % (17000)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.37 % (17000)Termination reason: Refutation
% 0.20/0.37
% 0.20/0.37 % (17000)Memory used [KB]: 765
% 0.20/0.37 % (17000)Time elapsed: 0.004 s
% 0.20/0.37 % (17000)Instructions burned: 4 (million)
% 0.20/0.37 % (16993)Success in time 0.017 s
%------------------------------------------------------------------------------