TSTP Solution File: SYO216^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO216^5 : 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 : n020.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 09:10:38 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 22 ( 8 unt; 13 typ; 0 def)
% Number of atoms : 76 ( 9 equ; 0 cnn)
% Maximal formula atoms : 2 ( 8 avg)
% Number of connectives : 9 ( 8 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 39 ( 38 >; 1 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 1 con; 0-6 aty)
% Number of variables : 30 ( 6 ^ 12 !; 6 ?; 30 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
b: $tType ).
thf(func_def_4,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_5,type,
sK0: b > b ).
thf(func_def_6,type,
sK1: b > b ).
thf(func_def_7,type,
sK2: b > b ).
thf(func_def_8,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_9,type,
vAND: $o > $o > $o ).
thf(func_def_10,type,
vOR: $o > $o > $o ).
thf(func_def_11,type,
vIMP: $o > $o > $o ).
thf(func_def_12,type,
vNOT: $o > $o ).
thf(func_def_13,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f11,plain,
$false,
inference(trivial_inequality_removal,[],[f10]) ).
thf(f10,plain,
vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,sK0),vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,sK1),sK2)) != vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,sK0),vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,sK1),sK2)),
inference(cnf_transformation,[],[f9]) ).
thf(f9,plain,
vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,sK0),vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,sK1),sK2)) != vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,sK0),vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,sK1),sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f8]) ).
thf(f8,plain,
( ? [X0: b > b,X1: b > b,X2: b > b] : ( vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,X0),vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,X1),X2)) != vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,X0),vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,X1),X2)) )
=> ( vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,sK0),vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,sK1),sK2)) != vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,sK0),vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,sK1),sK2)) ) ),
introduced(choice_axiom,[]) ).
thf(f7,plain,
? [X0: b > b,X1: b > b,X2: b > b] : ( vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,X0),vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,X1),X2)) != vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,X0),vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,X1),X2)) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: b > b,X1: b > b,X2: b > b] : ( vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,X0),vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,X1),X2)) = vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,X0),vAPP(sTfun(b,b),sTfun(b,b),vAPP(sTfun(b,b),sTfun(sTfun(b,b),sTfun(b,b)),bCOMB,X1),X2)) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: b > b,X1: b > b,X2: b > b] :
( ( ^ [X3: b] : vAPP(b,b,X0,vAPP(b,b,X1,vAPP(b,b,X2,X3))) )
= ( ^ [X4: b] : vAPP(b,b,X0,vAPP(b,b,X1,vAPP(b,b,X2,X4))) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: b > b,X1: b > b,X2: b > b] :
( ( ^ [X3: b] : vAPP(b,b,X0,vAPP(b,b,X1,vAPP(b,b,X2,X3))) )
= ( ^ [X3: b] : vAPP(b,b,X0,vAPP(b,b,X1,vAPP(b,b,X2,X3))) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: b > b,X1: b > b,X2: b > b] :
( ( ^ [X3: b] : vAPP(b,b,X0,vAPP(b,b,X1,vAPP(b,b,X2,X3))) )
= ( ^ [X3: b] : vAPP(b,b,X0,vAPP(b,b,X1,vAPP(b,b,X2,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM107_pme) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO216^5 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 09:25:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.36 % (8243)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (8246)WARNING: value z3 for option sas not known
% 0.21/0.37 % (8244)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (8245)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (8247)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (8246)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)
% 0.21/0.37 % (8249)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)
% 0.21/0.37 % (8248)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)
% 0.21/0.37 % (8250)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)
% 0.21/0.37 % Exception at run slice level% Exception at run slice level
% 0.21/0.37
% 0.21/0.37 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 constructs
% 0.21/0.37
% 0.21/0.37 % Exception at run slice level
% 0.21/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.37 % (8250)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.38 % (8249)First to succeed.
% 0.21/0.38 % (8248)Also succeeded, but the first one will report.
% 0.21/0.38 % (8250)Also succeeded, but the first one will report.
% 0.21/0.38 % (8249)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8243"
% 0.21/0.38 % (8246)Also succeeded, but the first one will report.
% 0.21/0.38 % (8249)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (8249)------------------------------
% 0.21/0.38 % (8249)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (8249)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (8249)Memory used [KB]: 737
% 0.21/0.38 % (8249)Time elapsed: 0.003 s
% 0.21/0.38 % (8249)Instructions burned: 3 (million)
% 0.21/0.38 % (8243)Success in time 0.017 s
%------------------------------------------------------------------------------