TSTP Solution File: SEV273^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV273^5 : 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 : n010.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 09:44:57 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of formulae : 40 ( 6 unt; 14 typ; 0 def)
% Number of atoms : 395 ( 96 equ; 0 cnn)
% Maximal formula atoms : 14 ( 15 avg)
% Number of connectives : 142 ( 47 ~; 36 |; 36 &; 0 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 37 ( 36 >; 1 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 3 con; 0-6 aty)
% Number of variables : 93 ( 0 ^ 65 !; 22 ?; 93 :)
% ( 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,
cR: a > a > $o ).
thf(func_def_5,type,
sK0: a ).
thf(func_def_6,type,
sK1: ( a > $o ) > a ).
thf(func_def_7,type,
sK2: a > ( a > $o ) > 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(f122,plain,
$false,
inference(trivial_inequality_removal,[],[f121]) ).
thf(f121,plain,
$true = $false,
inference(superposition,[],[f48,f114]) ).
thf(f114,plain,
! [X0: a] : ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X0),X0) ),
inference(equality_resolution,[],[f97]) ).
thf(f97,plain,
! [X0: a,X1: a] :
( ( X0 != X1 )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X0),X0) ) ),
inference(equality_resolution,[],[f96]) ).
thf(f96,plain,
! [X2: a,X0: a,X1: a] :
( ( X0 != X2 )
| ( X0 != X1 )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X0),X2) ) ),
inference(forward_demodulation,[],[f95,f52]) ).
thf(f52,plain,
! [X0: a] : ( vAPP(sTfun(a,$o),a,sK1,vAPP(a,sTfun(a,$o),vEQ(a),X0)) = X0 ),
inference(leibniz_equality_elimination,[],[f14]) ).
thf(f14,plain,
! [X1: a > $o,X6: a] :
( ( $true != vAPP(a,$o,X1,X6) )
| ( $true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,sK1,X1)) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,sK0),sK0) )
& ! [X1: a > $o] :
( ( ! [X3: a] :
( ( vAPP(sTfun(a,$o),a,sK1,X1) = X3 )
| ( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X3),vAPP(sTfun(a,$o),a,vAPP(a,sTfun(sTfun(a,$o),a),sK2,X3),X1)) )
& ( $true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,vAPP(a,sTfun(sTfun(a,$o),a),sK2,X3),X1)) ) )
| ( $true != vAPP(a,$o,X1,X3) ) )
& ! [X5: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,vAPP(sTfun(a,$o),a,sK1,X1)),X5) )
| ( $true != vAPP(a,$o,X1,X5) ) )
& ( $true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,sK1,X1)) ) )
| ! [X6: a] : ( $true != vAPP(a,$o,X1,X6) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f9,f12,f11,f10]) ).
thf(f10,plain,
( ? [X0: a] : ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X0),X0) )
=> ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,sK0),sK0) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
! [X1: a > $o] :
( ? [X2: a] :
( ! [X3: a] :
( ( X2 = X3 )
| ? [X4: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X3),X4) )
& ( $true = vAPP(a,$o,X1,X4) ) )
| ( $true != vAPP(a,$o,X1,X3) ) )
& ! [X5: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X2),X5) )
| ( $true != vAPP(a,$o,X1,X5) ) )
& ( $true = vAPP(a,$o,X1,X2) ) )
=> ( ! [X3: a] :
( ( vAPP(sTfun(a,$o),a,sK1,X1) = X3 )
| ? [X4: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X3),X4) )
& ( $true = vAPP(a,$o,X1,X4) ) )
| ( $true != vAPP(a,$o,X1,X3) ) )
& ! [X5: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,vAPP(sTfun(a,$o),a,sK1,X1)),X5) )
| ( $true != vAPP(a,$o,X1,X5) ) )
& ( $true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,sK1,X1)) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
! [X1: a > $o,X3: a] :
( ? [X4: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X3),X4) )
& ( $true = vAPP(a,$o,X1,X4) ) )
=> ( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X3),vAPP(sTfun(a,$o),a,vAPP(a,sTfun(sTfun(a,$o),a),sK2,X3),X1)) )
& ( $true = vAPP(a,$o,X1,vAPP(sTfun(a,$o),a,vAPP(a,sTfun(sTfun(a,$o),a),sK2,X3),X1)) ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
( ? [X0: a] : ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X0),X0) )
& ! [X1: a > $o] :
( ? [X2: a] :
( ! [X3: a] :
( ( X2 = X3 )
| ? [X4: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X3),X4) )
& ( $true = vAPP(a,$o,X1,X4) ) )
| ( $true != vAPP(a,$o,X1,X3) ) )
& ! [X5: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X2),X5) )
| ( $true != vAPP(a,$o,X1,X5) ) )
& ( $true = vAPP(a,$o,X1,X2) ) )
| ! [X6: a] : ( $true != vAPP(a,$o,X1,X6) ) ) ),
inference(rectify,[],[f8]) ).
thf(f8,plain,
( ? [X6: a] : ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X6),X6) )
& ! [X0: a > $o] :
( ? [X2: a] :
( ! [X3: a] :
( ( X2 = X3 )
| ? [X4: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X3),X4) )
& ( $true = vAPP(a,$o,X0,X4) ) )
| ( vAPP(a,$o,X0,X3) != $true ) )
& ! [X5: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X2),X5) )
| ( $true != vAPP(a,$o,X0,X5) ) )
& ( vAPP(a,$o,X0,X2) = $true ) )
| ! [X1: a] : ( vAPP(a,$o,X0,X1) != $true ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
( ? [X6: a] : ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X6),X6) )
& ! [X0: a > $o] :
( ? [X2: a] :
( ! [X3: a] :
( ( X2 = X3 )
| ? [X4: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X3),X4) )
& ( $true = vAPP(a,$o,X0,X4) ) )
| ( vAPP(a,$o,X0,X3) != $true ) )
& ! [X5: a] :
( ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X2),X5) )
| ( $true != vAPP(a,$o,X0,X5) ) )
& ( vAPP(a,$o,X0,X2) = $true ) )
| ! [X1: a] : ( vAPP(a,$o,X0,X1) != $true ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ( ! [X0: a > $o] :
( ? [X1: a] : ( vAPP(a,$o,X0,X1) = $true )
=> ? [X2: a] :
( ! [X3: a] :
( ( ! [X4: a] :
( ( $true = vAPP(a,$o,X0,X4) )
=> ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X3),X4) ) )
& ( vAPP(a,$o,X0,X3) = $true ) )
=> ( X2 = X3 ) )
& ! [X5: a] :
( ( $true = vAPP(a,$o,X0,X5) )
=> ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X2),X5) ) )
& ( vAPP(a,$o,X0,X2) = $true ) ) )
=> ! [X6: a] : ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X6),X6) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ( ! [X0: a > $o] :
( ? [X1: a] : vAPP(a,$o,X0,X1)
=> ? [X2: a] :
( ! [X3: a] :
( ( ! [X4: a] :
( vAPP(a,$o,X0,X4)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X3),X4) )
& vAPP(a,$o,X0,X3) )
=> ( X2 = X3 ) )
& ! [X5: a] :
( vAPP(a,$o,X0,X5)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X2),X5) )
& vAPP(a,$o,X0,X2) ) )
=> ! [X6: a] : vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X6),X6) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: a > $o] :
( ? [X1: a] : vAPP(a,$o,X0,X1)
=> ? [X1: a] :
( ! [X3: a] :
( ( ! [X2: a] :
( vAPP(a,$o,X0,X2)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X3),X2) )
& vAPP(a,$o,X0,X3) )
=> ( X1 = X3 ) )
& ! [X2: a] :
( vAPP(a,$o,X0,X2)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X1),X2) )
& vAPP(a,$o,X0,X1) ) )
=> ! [X2: a] : vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X2),X2) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ! [X0: a > $o] :
( ? [X1: a] : vAPP(a,$o,X0,X1)
=> ? [X1: a] :
( ! [X3: a] :
( ( ! [X2: a] :
( vAPP(a,$o,X0,X2)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X3),X2) )
& vAPP(a,$o,X0,X3) )
=> ( X1 = X3 ) )
& ! [X2: a] :
( vAPP(a,$o,X0,X2)
=> vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X1),X2) )
& vAPP(a,$o,X0,X1) ) )
=> ! [X2: a] : vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM542_pme) ).
thf(f95,plain,
! [X2: a,X0: a,X1: a] :
( ( X0 != X1 )
| ( X0 != X2 )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,vAPP(sTfun(a,$o),a,sK1,vAPP(a,sTfun(a,$o),vEQ(a),X0))),X2) ) ),
inference(equality_proxy_clausification,[],[f94]) ).
thf(f94,plain,
! [X2: a,X0: a,X1: a] :
( ( X0 != X1 )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vEQ(a),X0),X2) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,vAPP(sTfun(a,$o),a,sK1,vAPP(a,sTfun(a,$o),vEQ(a),X0))),X2) ) ),
inference(equality_proxy_clausification,[],[f87]) ).
thf(f87,plain,
! [X2: a,X0: a,X1: a] :
( ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vEQ(a),X0),X1) )
| ( $true != vAPP(a,$o,vAPP(a,sTfun(a,$o),vEQ(a),X0),X2) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,vAPP(sTfun(a,$o),a,sK1,vAPP(a,sTfun(a,$o),vEQ(a),X0))),X2) ) ),
inference(primitive_instantiation,[],[f15]) ).
thf(f15,plain,
! [X1: a > $o,X6: a,X5: a] :
( ( $true != vAPP(a,$o,X1,X6) )
| ( $true != vAPP(a,$o,X1,X5) )
| ( $true = vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,vAPP(sTfun(a,$o),a,sK1,X1)),X5) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f48,plain,
$false = vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,sK0),sK0),
inference(trivial_inequality_removal,[],[f47]) ).
thf(f47,plain,
( ( $true != $true )
| ( $false = vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,sK0),sK0) ) ),
inference(superposition,[],[f18,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f18,plain,
$true != vAPP(a,$o,vAPP(a,sTfun(a,$o),cR,sK0),sK0),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV273^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n010.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 : Fri May 3 11:54:03 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (886)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (892)WARNING: value z3 for option sas not known
% 0.15/0.37 % (893)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (894)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)
% 0.15/0.37 % (896)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)
% 0.15/0.37 % (890)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (891)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (892)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)
% 0.15/0.37 % (897)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)
% 0.15/0.37 % Exception at run slice level
% 0.15/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.37 % Exception at run slice level% (897)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.37
% 0.15/0.37 User error: % Exception at run slice levelFinite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.37
% 0.15/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.38 % (896)First to succeed.
% 0.21/0.38 % (892)Also succeeded, but the first one will report.
% 0.21/0.38 % (896)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-886"
% 0.21/0.38 % (896)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 % (896)------------------------------
% 0.21/0.38 % (896)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (896)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (896)Memory used [KB]: 856
% 0.21/0.38 % (896)Time elapsed: 0.008 s
% 0.21/0.38 % (896)Instructions burned: 10 (million)
% 0.21/0.38 % (886)Success in time 0.021 s
%------------------------------------------------------------------------------