TSTP Solution File: SYO504^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO504^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 09:11:59 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 44 ( 13 unt; 14 typ; 0 def)
% Number of atoms : 421 ( 58 equ; 0 cnn)
% Maximal formula atoms : 7 ( 14 avg)
% Number of connectives : 47 ( 6 ~; 14 |; 23 &; 0 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 29 ( 28 >; 1 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 4 con; 0-6 aty)
% Number of variables : 6 ( 0 ^ 0 !; 0 ?; 6 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
a: $o ).
thf(func_def_1,type,
b: $o ).
thf(func_def_2,type,
h: $o > $o > $o ).
thf(func_def_3,type,
i: $o > $o > $o ).
thf(func_def_4,type,
g: ( $o > $o > $o ) > $o ).
thf(func_def_5,type,
f: ( ( $o > $o > $o ) > $o ) > $o ).
thf(func_def_9,type,
vAND: $o > $o > $o ).
thf(func_def_10,type,
vOR: $o > $o > $o ).
thf(func_def_11,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_12,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_13,type,
vIMP: $o > $o > $o ).
thf(func_def_14,type,
vNOT: $o > $o ).
thf(func_def_15,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f77,plain,
$false,
inference(trivial_inequality_removal,[],[f76]) ).
thf(f76,plain,
$true = $false,
inference(forward_demodulation,[],[f75,f34]) ).
thf(f34,plain,
$false = vAPP($o,$o,vAPP($o,sTfun($o,$o),h,$false),$false),
inference(trivial_inequality_removal,[],[f33]) ).
thf(f33,plain,
( ( $true = $false )
| ( $false = vAPP($o,$o,vAPP($o,sTfun($o,$o),h,$false),$false) ) ),
inference(forward_demodulation,[],[f32,f28]) ).
thf(f28,plain,
b = $false,
inference(trivial_inequality_removal,[],[f27]) ).
thf(f27,plain,
( ( $true = $false )
| ( b = $false ) ),
inference(forward_demodulation,[],[f22,f26]) ).
thf(f26,plain,
vAPP($o,$o,vAPP($o,sTfun($o,$o),i,a),b) = $false,
inference(subsumption_resolution,[],[f25,f13]) ).
thf(f13,plain,
vAPP(sTfun(sTfun($o,sTfun($o,$o)),$o),$o,f,g) != $true,
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( ( vAPP(sTfun(sTfun($o,sTfun($o,$o)),$o),$o,f,g) != $true )
& ( vAPP($o,$o,vAPP($o,sTfun($o,$o),h,a),b) = $true )
& ( vAPP($o,$o,vAPP($o,sTfun($o,$o),i,a),b) = vAPP(sTfun(sTfun($o,sTfun($o,$o)),$o),$o,f,g) )
& ( vAPP($o,$o,vAPP($o,sTfun($o,$o),i,a),b) = vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,a),b) )
& ( vAPP($o,$o,vAPP($o,sTfun($o,$o),h,a),b) = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,a),b) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
( ( vAPP(sTfun(sTfun($o,sTfun($o,$o)),$o),$o,f,g) != $true )
& ( vAPP($o,$o,vAPP($o,sTfun($o,$o),h,a),b) = $true )
& ( vAPP($o,$o,vAPP($o,sTfun($o,$o),i,a),b) = vAPP(sTfun(sTfun($o,sTfun($o,$o)),$o),$o,f,g) )
& ( vAPP($o,$o,vAPP($o,sTfun($o,$o),i,a),b) = vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,a),b) )
& ( vAPP($o,$o,vAPP($o,sTfun($o,$o),h,a),b) = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,a),b) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ( ( ( vAPP($o,$o,vAPP($o,sTfun($o,$o),h,a),b) = $true )
& ( vAPP($o,$o,vAPP($o,sTfun($o,$o),i,a),b) = vAPP(sTfun(sTfun($o,sTfun($o,$o)),$o),$o,f,g) )
& ( vAPP($o,$o,vAPP($o,sTfun($o,$o),i,a),b) = vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,a),b) )
& ( vAPP($o,$o,vAPP($o,sTfun($o,$o),h,a),b) = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,a),b) ) )
=> ( vAPP(sTfun(sTfun($o,sTfun($o,$o)),$o),$o,f,g) = $true ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ( ( vAPP($o,$o,vAPP($o,sTfun($o,$o),h,a),b)
& ( vAPP($o,$o,vAPP($o,sTfun($o,$o),i,a),b) = vAPP(sTfun(sTfun($o,sTfun($o,$o)),$o),$o,f,g) )
& ( ( vAPP($o,$o,vAPP($o,sTfun($o,$o),i,a),b) = b )
| a )
& ( vAPP($o,$o,vAPP($o,sTfun($o,$o),h,a),b) = b )
& a )
=> vAPP(sTfun(sTfun($o,sTfun($o,$o)),$o),$o,f,g) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( vAPP($o,$o,vAPP($o,sTfun($o,$o),h,a),b)
& ( vAPP($o,$o,vAPP($o,sTfun($o,$o),i,a),b) = vAPP(sTfun(sTfun($o,sTfun($o,$o)),$o),$o,f,g) )
& ( ( vAPP($o,$o,vAPP($o,sTfun($o,$o),i,a),b) = b )
| a )
& ( vAPP($o,$o,vAPP($o,sTfun($o,$o),h,a),b) = b )
& a )
=> vAPP(sTfun(sTfun($o,sTfun($o,$o)),$o),$o,f,g) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( vAPP($o,$o,vAPP($o,sTfun($o,$o),h,a),b)
& ( vAPP($o,$o,vAPP($o,sTfun($o,$o),i,a),b) = vAPP(sTfun(sTfun($o,sTfun($o,$o)),$o),$o,f,g) )
& ( ( vAPP($o,$o,vAPP($o,sTfun($o,$o),i,a),b) = b )
| a )
& ( vAPP($o,$o,vAPP($o,sTfun($o,$o),h,a),b) = b )
& a )
=> vAPP(sTfun(sTfun($o,sTfun($o,$o)),$o),$o,f,g) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',claim) ).
thf(f25,plain,
( ( vAPP($o,$o,vAPP($o,sTfun($o,$o),i,a),b) = $false )
| ( vAPP(sTfun(sTfun($o,sTfun($o,$o)),$o),$o,f,g) = $true ) ),
inference(binary_proxy_clausification,[],[f11]) ).
thf(f11,plain,
vAPP($o,$o,vAPP($o,sTfun($o,$o),i,a),b) = vAPP(sTfun(sTfun($o,sTfun($o,$o)),$o),$o,f,g),
inference(cnf_transformation,[],[f8]) ).
thf(f22,plain,
( ( vAPP($o,$o,vAPP($o,sTfun($o,$o),i,a),b) = $true )
| ( b = $false ) ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f19,plain,
( ( vAPP($o,$o,vAPP($o,sTfun($o,$o),i,a),b) = $true )
| ( $false = vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,a),b) ) ),
inference(binary_proxy_clausification,[],[f10]) ).
thf(f10,plain,
vAPP($o,$o,vAPP($o,sTfun($o,$o),i,a),b) = vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,a),b),
inference(cnf_transformation,[],[f8]) ).
thf(f32,plain,
( ( $false = vAPP($o,$o,vAPP($o,sTfun($o,$o),h,$false),$false) )
| ( b = $true ) ),
inference(forward_demodulation,[],[f31,f30]) ).
thf(f30,plain,
a = $false,
inference(trivial_inequality_removal,[],[f29]) ).
thf(f29,plain,
( ( $true = $false )
| ( a = $false ) ),
inference(forward_demodulation,[],[f23,f26]) ).
thf(f23,plain,
( ( vAPP($o,$o,vAPP($o,sTfun($o,$o),i,a),b) = $true )
| ( a = $false ) ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f31,plain,
( ( $false = vAPP($o,$o,vAPP($o,sTfun($o,$o),h,a),$false) )
| ( b = $true ) ),
inference(forward_demodulation,[],[f16,f28]) ).
thf(f16,plain,
( ( vAPP($o,$o,vAPP($o,sTfun($o,$o),h,a),b) = $false )
| ( b = $true ) ),
inference(binary_proxy_clausification,[],[f15]) ).
thf(f15,plain,
( ( vAPP($o,$o,vAPP($o,sTfun($o,$o),h,a),b) = $false )
| ( $true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,a),b) ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f9,plain,
vAPP($o,$o,vAPP($o,sTfun($o,$o),h,a),b) = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,a),b),
inference(cnf_transformation,[],[f8]) ).
thf(f75,plain,
$true = vAPP($o,$o,vAPP($o,sTfun($o,$o),h,$false),$false),
inference(forward_demodulation,[],[f71,f28]) ).
thf(f71,plain,
$true = vAPP($o,$o,vAPP($o,sTfun($o,$o),h,$false),b),
inference(superposition,[],[f12,f30]) ).
thf(f12,plain,
vAPP($o,$o,vAPP($o,sTfun($o,$o),h,a),b) = $true,
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO504^1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n028.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 : Mon May 20 10:51:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (28648)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (28654)WARNING: value z3 for option sas not known
% 0.14/0.38 % (28653)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (28652)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (28656)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 % (28655)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (28654)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)
% 0.14/0.38 % Exception at run slice level% Exception at run slice level% Exception at run slice level
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 User error: User error: User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructsFinite model buillding is currently not compatible with polymorphism or higher-order constructsFinite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (28658)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 % (28658)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.38 % (28658)First to succeed.
% 0.14/0.38 % (28658)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28648"
% 0.14/0.38 % (28658)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 % (28658)------------------------------
% 0.14/0.38 % (28658)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (28658)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (28658)Memory used [KB]: 762
% 0.14/0.38 % (28658)Time elapsed: 0.005 s
% 0.14/0.38 % (28658)Instructions burned: 5 (million)
% 0.14/0.38 % (28648)Success in time 0.02 s
%------------------------------------------------------------------------------