TSTP Solution File: SYO058^4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO058^4 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 09:10:08 EDT 2024
% Result : Theorem 0.11s 0.35s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 36
% Syntax : Number of formulae : 45 ( 11 unt; 34 typ; 0 def)
% Number of atoms : 61 ( 5 equ; 0 cnn)
% Maximal formula atoms : 1 ( 5 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 104 ( 103 >; 1 *; 0 +; 0 <<)
% Number of symbols : 38 ( 35 usr; 2 con; 0-6 aty)
% Number of variables : 15 ( 0 ^ 0 !; 0 ?; 15 :)
% ( 15 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
irel: $i > $i > $o ).
thf(func_def_2,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_3,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_4,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_5,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_6,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(func_def_7,type,
iatom: ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
inot: ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
itrue: $i > $o ).
thf(func_def_10,type,
ifalse: $i > $o ).
thf(func_def_11,type,
iand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_12,type,
ior: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_13,type,
iimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_14,type,
iimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_15,type,
iequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_16,type,
ixor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_17,type,
ivalid: ( $i > $o ) > $o ).
thf(func_def_18,type,
isatisfiable: ( $i > $o ) > $o ).
thf(func_def_19,type,
icountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_20,type,
iinvalid: ( $i > $o ) > $o ).
thf(func_def_21,type,
a: $i > $o ).
thf(func_def_24,type,
vNOT: $o > $o ).
thf(func_def_25,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_26,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_27,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_28,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_29,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_30,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_31,type,
vAND: $o > $o > $o ).
thf(func_def_32,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_33,type,
vOR: $o > $o > $o ).
thf(func_def_34,type,
vIMP: $o > $o > $o ).
thf(func_def_35,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f97,plain,
$false,
inference(subsumption_resolution,[],[f96,f74]) ).
thf(f74,plain,
vAPP(sTfun($i,$o),$o,ivalid,vAPP(sTfun($i,$o),sTfun($i,$o),iatom,a)) != $true,
inference(cnf_transformation,[],[f71]) ).
thf(f71,plain,
vAPP(sTfun($i,$o),$o,ivalid,vAPP(sTfun($i,$o),sTfun($i,$o),iatom,a)) != $true,
inference(flattening,[],[f28]) ).
thf(f28,plain,
vAPP(sTfun($i,$o),$o,ivalid,vAPP(sTfun($i,$o),sTfun($i,$o),iatom,a)) != $true,
inference(fool_elimination,[],[f27]) ).
thf(f27,plain,
~ vAPP(sTfun($i,$o),$o,ivalid,vAPP(sTfun($i,$o),sTfun($i,$o),iatom,a)),
inference(rectify,[],[f24]) ).
thf(f24,negated_conjecture,
~ vAPP(sTfun($i,$o),$o,ivalid,vAPP(sTfun($i,$o),sTfun($i,$o),iatom,a)),
inference(negated_conjecture,[],[f23]) ).
thf(f23,conjecture,
vAPP(sTfun($i,$o),$o,ivalid,vAPP(sTfun($i,$o),sTfun($i,$o),iatom,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(f96,plain,
vAPP(sTfun($i,$o),$o,ivalid,vAPP(sTfun($i,$o),sTfun($i,$o),iatom,a)) = $true,
inference(cnf_transformation,[],[f70]) ).
thf(f70,plain,
vAPP(sTfun($i,$o),$o,ivalid,vAPP(sTfun($i,$o),sTfun($i,$o),iatom,a)) = $true,
inference(fool_elimination,[],[f69]) ).
thf(f69,plain,
vAPP(sTfun($i,$o),$o,ivalid,vAPP(sTfun($i,$o),sTfun($i,$o),iatom,a)),
inference(rectify,[],[f22]) ).
thf(f22,axiom,
vAPP(sTfun($i,$o),$o,ivalid,vAPP(sTfun($i,$o),sTfun($i,$o),iatom,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SYO058^4 : TPTP v8.2.0. Released v4.0.0.
% 0.05/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n016.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon May 20 09:46:37 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (7362)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (7365)WARNING: value z3 for option sas not known
% 0.11/0.35 % (7364)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.35 % (7368)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)
% 0.11/0.35 % (7366)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35 % (7367)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)
% 0.11/0.35 % (7365)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)
% 0.11/0.35 % (7369)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)
% 0.11/0.35 % (7363)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.35 % (7369)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.11/0.35 % Exception at run slice level
% 0.11/0.35 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.35 % Exception at run slice level
% 0.11/0.35 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.35 % (7369)First to succeed.
% 0.11/0.35 % (7369)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7362"
% 0.11/0.35 % (7365)Also succeeded, but the first one will report.
% 0.11/0.35 % (7368)Also succeeded, but the first one will report.
% 0.11/0.35 % (7369)Refutation found. Thanks to Tanya!
% 0.11/0.35 % SZS status Theorem for theBenchmark
% 0.11/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35 % (7369)------------------------------
% 0.11/0.35 % (7369)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.35 % (7369)Termination reason: Refutation
% 0.11/0.35
% 0.11/0.35 % (7369)Memory used [KB]: 807
% 0.11/0.35 % (7369)Time elapsed: 0.004 s
% 0.11/0.35 % (7369)Instructions burned: 7 (million)
% 0.11/0.35 % (7362)Success in time 0.02 s
%------------------------------------------------------------------------------