TSTP Solution File: SEU920^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU920^5 : 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 : n012.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 04:07:03 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 22
% Syntax : Number of formulae : 31 ( 4 unt; 18 typ; 0 def)
% Number of atoms : 60 ( 23 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 22 ( 11 ~; 0 |; 5 &; 0 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 33 ( 32 >; 1 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 2 con; 0-6 aty)
% Number of variables : 56 ( 0 ^ 28 !; 22 ?; 56 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
b: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_8,type,
c: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_2,type,
c: $tType ).
thf(func_def_6,type,
sK0: a > b ).
thf(func_def_7,type,
sK1: b > c ).
thf(func_def_8,type,
sK2: c ).
thf(func_def_9,type,
sK3: c > a ).
thf(func_def_10,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_11,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_12,type,
vAND: $o > $o > $o ).
thf(func_def_13,type,
vOR: $o > $o > $o ).
thf(func_def_14,type,
vIMP: $o > $o > $o ).
thf(func_def_15,type,
vNOT: $o > $o ).
thf(func_def_16,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f43,plain,
$false,
inference(equality_resolution,[],[f42]) ).
thf(f42,plain,
! [X0: c] : ( sK2 != X0 ),
inference(superposition,[],[f13,f12]) ).
thf(f12,plain,
! [X4: c] : ( vAPP(b,c,sK1,vAPP(a,b,sK0,vAPP(c,a,sK3,X4))) = X4 ),
inference(cnf_transformation,[],[f11]) ).
thf(f11,plain,
( ! [X3: b] : ( vAPP(b,c,sK1,X3) != sK2 )
& ! [X4: c] : ( vAPP(b,c,sK1,vAPP(a,b,sK0,vAPP(c,a,sK3,X4))) = X4 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f7,f10,f9,f8]) ).
thf(f8,plain,
( ? [X0: a > b,X1: b > c] :
( ? [X2: c] :
! [X3: b] : ( vAPP(b,c,X1,X3) != X2 )
& ! [X4: c] :
? [X5: a] : ( vAPP(b,c,X1,vAPP(a,b,X0,X5)) = X4 ) )
=> ( ? [X2: c] :
! [X3: b] : ( vAPP(b,c,sK1,X3) != X2 )
& ! [X4: c] :
? [X5: a] : ( vAPP(b,c,sK1,vAPP(a,b,sK0,X5)) = X4 ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
( ? [X2: c] :
! [X3: b] : ( vAPP(b,c,sK1,X3) != X2 )
=> ! [X3: b] : ( vAPP(b,c,sK1,X3) != sK2 ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
! [X4: c] :
( ? [X5: a] : ( vAPP(b,c,sK1,vAPP(a,b,sK0,X5)) = X4 )
=> ( vAPP(b,c,sK1,vAPP(a,b,sK0,vAPP(c,a,sK3,X4))) = X4 ) ),
introduced(choice_axiom,[]) ).
thf(f7,plain,
? [X0: a > b,X1: b > c] :
( ? [X2: c] :
! [X3: b] : ( vAPP(b,c,X1,X3) != X2 )
& ! [X4: c] :
? [X5: a] : ( vAPP(b,c,X1,vAPP(a,b,X0,X5)) = X4 ) ),
inference(rectify,[],[f6]) ).
thf(f6,plain,
? [X0: a > b,X1: b > c] :
( ? [X4: c] :
! [X5: b] : ( vAPP(b,c,X1,X5) != X4 )
& ! [X2: c] :
? [X3: a] : ( vAPP(b,c,X1,vAPP(a,b,X0,X3)) = X2 ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > b,X1: b > c] :
( ! [X2: c] :
? [X3: a] : ( vAPP(b,c,X1,vAPP(a,b,X0,X3)) = X2 )
=> ! [X4: c] :
? [X5: b] : ( vAPP(b,c,X1,X5) = X4 ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > b,X1: b > c] :
( ! [X2: c] :
? [X3: a] : ( vAPP(b,c,X1,vAPP(a,b,X0,X3)) = X2 )
=> ! [X2: c] :
? [X3: b] : ( vAPP(b,c,X1,X3) = X2 ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > b,X1: b > c] :
( ! [X2: c] :
? [X3: a] : ( vAPP(b,c,X1,vAPP(a,b,X0,X3)) = X2 )
=> ! [X2: c] :
? [X3: b] : ( vAPP(b,c,X1,X3) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cFN_THM_4_pme) ).
thf(f13,plain,
! [X3: b] : ( vAPP(b,c,sK1,X3) != sK2 ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU920^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 17:09:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (20672)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (20675)WARNING: value z3 for option sas not known
% 0.14/0.38 % (20676)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (20675)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 % (20673)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (20678)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)
% 0.14/0.38 % (20677)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 % (20674)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 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % (20678)First to succeed.
% 0.14/0.38 % (20677)Also succeeded, but the first one will report.
% 0.14/0.38 % (20678)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20672"
% 0.14/0.38 % (20675)Also succeeded, but the first one will report.
% 0.14/0.38 % (20678)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 % (20678)------------------------------
% 0.14/0.38 % (20678)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (20678)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (20678)Memory used [KB]: 773
% 0.14/0.38 % (20678)Time elapsed: 0.004 s
% 0.14/0.38 % (20678)Instructions burned: 4 (million)
% 0.14/0.38 % (20672)Success in time 0.019 s
%------------------------------------------------------------------------------