TSTP Solution File: ALG280^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG280^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 : Sun May 5 04:29:34 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 33 ( 11 unt; 14 typ; 0 def)
% Number of atoms : 189 ( 40 equ; 0 cnn)
% Maximal formula atoms : 4 ( 9 avg)
% Number of connectives : 32 ( 10 ~; 0 |; 18 &; 0 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 21 ( 20 >; 1 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-6 aty)
% Number of variables : 61 ( 0 ^ 51 !; 4 ?; 61 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cE: a ).
thf(func_def_2,type,
cP: a > a > a ).
thf(func_def_3,type,
cJ: a > a ).
thf(func_def_7,type,
sK0: a ).
thf(func_def_8,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_9,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_10,type,
vAND: $o > $o > $o ).
thf(func_def_11,type,
vOR: $o > $o > $o ).
thf(func_def_12,type,
vIMP: $o > $o > $o ).
thf(func_def_13,type,
vNOT: $o > $o ).
thf(func_def_14,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f103,plain,
$false,
inference(trivial_inequality_removal,[],[f96]) ).
thf(f96,plain,
sK0 != sK0,
inference(superposition,[],[f14,f79]) ).
thf(f79,plain,
! [X0: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),cE) = X0 ),
inference(superposition,[],[f52,f50]) ).
thf(f50,plain,
! [X0: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,vAPP(a,a,cJ,X0))),cE) = X0 ),
inference(superposition,[],[f46,f13]) ).
thf(f13,plain,
! [X1: a] : ( cE = vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X1)),X1) ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
( ( sK0 != vAPP(a,a,vAPP(a,sTfun(a,a),cP,sK0),cE) )
& ! [X1: a] : ( cE = vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X1)),X1) )
& ! [X2: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,cE),X2) = X2 )
& ! [X3: a,X4: a,X5: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,vAPP(a,sTfun(a,a),cP,X3),X4)),X5) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,X3),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),X5)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9]) ).
thf(f9,plain,
( ? [X0: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),cE) != X0 )
=> ( sK0 != vAPP(a,a,vAPP(a,sTfun(a,a),cP,sK0),cE) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
( ? [X0: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),cE) != X0 )
& ! [X1: a] : ( cE = vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X1)),X1) )
& ! [X2: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,cE),X2) = X2 )
& ! [X3: a,X4: a,X5: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,vAPP(a,sTfun(a,a),cP,X3),X4)),X5) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,X3),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),X5)) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
( ? [X5: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X5),cE) != X5 )
& ! [X0: a] : ( cE = vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X0)),X0) )
& ! [X1: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,cE),X1) = X1 )
& ! [X2: a,X3: a,X4: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,vAPP(a,sTfun(a,a),cP,X2),X3)),X4) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,X2),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X3),X4)) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
( ? [X5: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X5),cE) != X5 )
& ! [X0: a] : ( cE = vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X0)),X0) )
& ! [X1: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,cE),X1) = X1 )
& ! [X2: a,X3: a,X4: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,vAPP(a,sTfun(a,a),cP,X2),X3)),X4) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,X2),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X3),X4)) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ( ( ! [X0: a] : ( cE = vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X0)),X0) )
& ! [X1: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,cE),X1) = X1 )
& ! [X2: a,X3: a,X4: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,vAPP(a,sTfun(a,a),cP,X2),X3)),X4) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,X2),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X3),X4)) ) )
=> ! [X5: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X5),cE) = X5 ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X1: a] : ( cE = vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X1)),X1) )
& ! [X0: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,cE),X0) = X0 )
& ! [X0: a,X1: a,X2: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),X1)),X2) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X1),X2)) ) )
=> ! [X3: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X3),cE) = X3 ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ! [X1: a] : ( cE = vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X1)),X1) )
& ! [X0: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,cE),X0) = X0 )
& ! [X0: a,X1: a,X2: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),X1)),X2) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X1),X2)) ) )
=> ! [X3: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X3),cE) = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM17_pme) ).
thf(f46,plain,
! [X0: a,X1: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X0)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),X1)) = X1 ),
inference(forward_demodulation,[],[f44,f12]) ).
thf(f12,plain,
! [X2: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,cE),X2) = X2 ),
inference(cnf_transformation,[],[f10]) ).
thf(f44,plain,
! [X0: a,X1: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,cE),X1) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,X0)),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),X1)) ),
inference(superposition,[],[f11,f13]) ).
thf(f11,plain,
! [X3: a,X4: a,X5: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,vAPP(a,sTfun(a,a),cP,X3),X4)),X5) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,X3),vAPP(a,a,vAPP(a,sTfun(a,a),cP,X4),X5)) ),
inference(cnf_transformation,[],[f10]) ).
thf(f52,plain,
! [X0: a,X1: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),cP,X0),X1) = vAPP(a,a,vAPP(a,sTfun(a,a),cP,vAPP(a,a,cJ,vAPP(a,a,cJ,X0))),X1) ),
inference(superposition,[],[f46,f46]) ).
thf(f14,plain,
sK0 != vAPP(a,a,vAPP(a,sTfun(a,a),cP,sK0),cE),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG280^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n026.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri May 3 19:58:38 EDT 2024
% 0.13/0.37 % CPUTime :
% 0.13/0.37 % (18950)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (18956)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)
% 0.13/0.38 % (18953)WARNING: value z3 for option sas not known
% 0.13/0.38 % (18953)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)
% 0.13/0.38 % (18957)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)
% 0.13/0.38 % (18957)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.38 % (18954)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (18952)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % Exception at run slice level
% 0.13/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.38 % (18955)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)
% 0.13/0.39 % Exception at run slice level
% 0.13/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.39 % (18956)First to succeed.
% 0.13/0.39 % (18956)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18950"
% 0.13/0.39 % (18956)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (18956)------------------------------
% 0.13/0.39 % (18956)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (18956)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (18956)Memory used [KB]: 793
% 0.13/0.39 % (18956)Time elapsed: 0.006 s
% 0.13/0.39 % (18956)Instructions burned: 10 (million)
% 0.13/0.39 % (18950)Success in time 0.018 s
%------------------------------------------------------------------------------