TSTP Solution File: SEU936^5 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU936^5 : 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 : n011.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 04:07:04 EDT 2024
% Result : Theorem 0.16s 0.32s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of formulae : 33 ( 5 unt; 18 typ; 0 def)
% Number of atoms : 107 ( 44 equ; 0 cnn)
% Maximal formula atoms : 8 ( 7 avg)
% Number of connectives : 48 ( 18 ~; 7 |; 12 &; 0 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 32 ( 31 >; 1 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-6 aty)
% Number of variables : 53 ( 0 ^ 31 !; 16 ?; 53 :)
% ( 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: a ).
thf(func_def_9,type,
sK3: 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(f49,plain,
$false,
inference(trivial_inequality_removal,[],[f48]) ).
thf(f48,plain,
sK2 != sK2,
inference(superposition,[],[f13,f46]) ).
thf(f46,plain,
sK2 = sK3,
inference(equality_resolution,[],[f42]) ).
thf(f42,plain,
! [X0: a] :
( ( vAPP(b,c,sK1,vAPP(a,b,sK0,X0)) != vAPP(b,c,sK1,vAPP(a,b,sK0,sK2)) )
| ( sK3 = X0 ) ),
inference(superposition,[],[f11,f12]) ).
thf(f12,plain,
vAPP(a,b,sK0,sK2) = vAPP(a,b,sK0,sK3),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
( ( sK2 != sK3 )
& ( vAPP(a,b,sK0,sK2) = vAPP(a,b,sK0,sK3) )
& ! [X4: a,X5: a] :
( ( X4 = X5 )
| ( vAPP(b,c,sK1,vAPP(a,b,sK0,X4)) != vAPP(b,c,sK1,vAPP(a,b,sK0,X5)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f7,f9,f8]) ).
thf(f8,plain,
( ? [X0: a > b,X1: b > c] :
( ? [X2: a,X3: a] :
( ( X2 != X3 )
& ( vAPP(a,b,X0,X2) = vAPP(a,b,X0,X3) ) )
& ! [X4: a,X5: a] :
( ( X4 = X5 )
| ( vAPP(b,c,X1,vAPP(a,b,X0,X4)) != vAPP(b,c,X1,vAPP(a,b,X0,X5)) ) ) )
=> ( ? [X3: a,X2: a] :
( ( X2 != X3 )
& ( vAPP(a,b,sK0,X2) = vAPP(a,b,sK0,X3) ) )
& ! [X5: a,X4: a] :
( ( X4 = X5 )
| ( vAPP(b,c,sK1,vAPP(a,b,sK0,X4)) != vAPP(b,c,sK1,vAPP(a,b,sK0,X5)) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
( ? [X3: a,X2: a] :
( ( X2 != X3 )
& ( vAPP(a,b,sK0,X2) = vAPP(a,b,sK0,X3) ) )
=> ( ( sK2 != sK3 )
& ( vAPP(a,b,sK0,sK2) = vAPP(a,b,sK0,sK3) ) ) ),
introduced(choice_axiom,[]) ).
thf(f7,plain,
? [X0: a > b,X1: b > c] :
( ? [X2: a,X3: a] :
( ( X2 != X3 )
& ( vAPP(a,b,X0,X2) = vAPP(a,b,X0,X3) ) )
& ! [X4: a,X5: a] :
( ( X4 = X5 )
| ( vAPP(b,c,X1,vAPP(a,b,X0,X4)) != vAPP(b,c,X1,vAPP(a,b,X0,X5)) ) ) ),
inference(rectify,[],[f6]) ).
thf(f6,plain,
? [X0: a > b,X1: b > c] :
( ? [X4: a,X5: a] :
( ( X4 != X5 )
& ( vAPP(a,b,X0,X4) = vAPP(a,b,X0,X5) ) )
& ! [X2: a,X3: a] :
( ( X2 = X3 )
| ( vAPP(b,c,X1,vAPP(a,b,X0,X2)) != vAPP(b,c,X1,vAPP(a,b,X0,X3)) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > b,X1: b > c] :
( ! [X2: a,X3: a] :
( ( vAPP(b,c,X1,vAPP(a,b,X0,X2)) = vAPP(b,c,X1,vAPP(a,b,X0,X3)) )
=> ( X2 = X3 ) )
=> ! [X4: a,X5: a] :
( ( vAPP(a,b,X0,X4) = vAPP(a,b,X0,X5) )
=> ( X4 = X5 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > b,X1: b > c] :
( ! [X2: a,X3: a] :
( ( vAPP(b,c,X1,vAPP(a,b,X0,X2)) = vAPP(b,c,X1,vAPP(a,b,X0,X3)) )
=> ( X2 = X3 ) )
=> ! [X2: a,X3: a] :
( ( vAPP(a,b,X0,X2) = vAPP(a,b,X0,X3) )
=> ( X2 = X3 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > b,X1: b > c] :
( ! [X2: a,X3: a] :
( ( vAPP(b,c,X1,vAPP(a,b,X0,X2)) = vAPP(b,c,X1,vAPP(a,b,X0,X3)) )
=> ( X2 = X3 ) )
=> ! [X2: a,X3: a] :
( ( vAPP(a,b,X0,X2) = vAPP(a,b,X0,X3) )
=> ( X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cFN_THM_3_pme) ).
thf(f11,plain,
! [X4: a,X5: a] :
( ( vAPP(b,c,sK1,vAPP(a,b,sK0,X4)) != vAPP(b,c,sK1,vAPP(a,b,sK0,X5)) )
| ( X4 = X5 ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f13,plain,
sK2 != sK3,
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SEU936^5 : TPTP v8.2.0. Released v4.0.0.
% 0.05/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n011.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun May 19 16:05:52 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % (14471)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.32 % (14474)WARNING: value z3 for option sas not known
% 0.16/0.32 % (14472)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.32 % (14476)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)
% 0.16/0.32 % (14477)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)
% 0.16/0.32 % Exception at run slice level
% 0.16/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.32 % (14474)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)
% 0.16/0.32 % (14473)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.32 % (14475)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.32 % (14478)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)
% 0.16/0.32 % (14478)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.32 % Exception at run slice level
% 0.16/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.32 % Exception at run slice level
% 0.16/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.32 % (14477)First to succeed.
% 0.16/0.32 % (14476)Also succeeded, but the first one will report.
% 0.16/0.32 % (14477)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14471"
% 0.16/0.32 % (14478)Also succeeded, but the first one will report.
% 0.16/0.32 % (14474)Also succeeded, but the first one will report.
% 0.16/0.32 % (14477)Refutation found. Thanks to Tanya!
% 0.16/0.32 % SZS status Theorem for theBenchmark
% 0.16/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.32 % (14477)------------------------------
% 0.16/0.32 % (14477)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.32 % (14477)Termination reason: Refutation
% 0.16/0.32
% 0.16/0.32 % (14477)Memory used [KB]: 773
% 0.16/0.32 % (14477)Time elapsed: 0.004 s
% 0.16/0.32 % (14477)Instructions burned: 5 (million)
% 0.16/0.32 % (14471)Success in time 0.014 s
%------------------------------------------------------------------------------