TSTP Solution File: SEV061^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV061^5 : 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 : n006.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 09:43:48 EDT 2024
% Result : Theorem 0.21s 0.37s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 21
% Syntax : Number of formulae : 36 ( 5 unt; 18 typ; 0 def)
% Number of atoms : 245 ( 88 equ; 0 cnn)
% Maximal formula atoms : 16 ( 13 avg)
% Number of connectives : 126 ( 43 ~; 29 |; 40 &; 0 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 54 ( 53 >; 1 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 6 con; 0-6 aty)
% Number of variables : 82 ( 0 ^ 48 !; 28 ?; 82 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_6,type,
a: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
b: $tType ).
thf(func_def_1,type,
a: $tType ).
thf(func_def_5,type,
sK0: b ).
thf(func_def_6,type,
sK1: a ).
thf(func_def_7,type,
sK2: b > a > $o ).
thf(func_def_8,type,
sK3: b > a > $o ).
thf(func_def_9,type,
sK4: b ).
thf(func_def_10,type,
sK5: a ).
thf(func_def_11,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_12,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_13,type,
vAND: $o > $o > $o ).
thf(func_def_14,type,
vOR: $o > $o > $o ).
thf(func_def_15,type,
vIMP: $o > $o > $o ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(func_def_17,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f70,plain,
$false,
inference(unit_resulting_resolution,[],[f59,f17,f15,f14]) ).
thf(f14,plain,
! [X6: b,X7: a] :
( ( $true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,X6),X7) )
| ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,X6),X7) )
| ( sK1 = X7 ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
( ( $true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,sK4),sK5) )
& ( ( sK1 != sK5 )
| ( sK0 != sK4 ) )
& ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,sK4),sK5) )
& ! [X6: b,X7: a] :
( ( ( sK1 = X7 )
& ( sK0 = X6 ) )
| ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,X6),X7) )
| ( $true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,X6),X7) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f9,f11,f10]) ).
thf(f10,plain,
( ? [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ? [X4: b,X5: a] :
( ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X4),X5) != $true )
& ( ( X1 != X5 )
| ( X0 != X4 ) )
& ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X4),X5) = $true ) )
& ! [X6: b,X7: a] :
( ( ( X1 = X7 )
& ( X0 = X6 ) )
| ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X6),X7) = $true )
| ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X6),X7) != $true ) ) )
=> ( ? [X5: a,X4: b] :
( ( $true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,X4),X5) )
& ( ( sK1 != X5 )
| ( sK0 != X4 ) )
& ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,X4),X5) ) )
& ! [X7: a,X6: b] :
( ( ( sK1 = X7 )
& ( sK0 = X6 ) )
| ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,X6),X7) )
| ( $true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,X6),X7) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
( ? [X5: a,X4: b] :
( ( $true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,X4),X5) )
& ( ( sK1 != X5 )
| ( sK0 != X4 ) )
& ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,X4),X5) ) )
=> ( ( $true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,sK4),sK5) )
& ( ( sK1 != sK5 )
| ( sK0 != sK4 ) )
& ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,sK4),sK5) ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
? [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ? [X4: b,X5: a] :
( ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X4),X5) != $true )
& ( ( X1 != X5 )
| ( X0 != X4 ) )
& ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X4),X5) = $true ) )
& ! [X6: b,X7: a] :
( ( ( X1 = X7 )
& ( X0 = X6 ) )
| ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X6),X7) = $true )
| ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X6),X7) != $true ) ) ),
inference(rectify,[],[f8]) ).
thf(f8,plain,
? [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ? [X6: b,X7: a] :
( ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X6),X7) != $true )
& ( ( X1 != X7 )
| ( X0 != X6 ) )
& ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X6),X7) = $true ) )
& ! [X4: b,X5: a] :
( ( ( X1 = X5 )
& ( X0 = X4 ) )
| ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X4),X5) = $true )
| ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X4),X5) != $true ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
? [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ? [X6: b,X7: a] :
( ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X6),X7) != $true )
& ( ( X1 != X7 )
| ( X0 != X6 ) )
& ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X6),X7) = $true ) )
& ! [X4: b,X5: a] :
( ( ( X1 = X5 )
& ( X0 = X4 ) )
| ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X4),X5) = $true )
| ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X4),X5) != $true ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ! [X4: b,X5: a] :
( ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X4),X5) = $true )
=> ( ( ( X1 = X5 )
& ( X0 = X4 ) )
| ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X4),X5) = $true ) ) )
=> ! [X6: b,X7: a] :
( ( ~ ( ( X1 = X7 )
& ( X0 = X6 ) )
& ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X6),X7) = $true ) )
=> ( vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X6),X7) = $true ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ! [X4: b,X5: a] :
( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X4),X5)
=> ( ( ( X1 = X5 )
& ( X0 = X4 ) )
| vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X4),X5) ) )
=> ! [X6: b,X7: a] :
( ( ~ ( ( X1 = X7 )
& ( X0 = X6 ) )
& vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X6),X7) )
=> vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X6),X7) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ! [X4: b,X5: a] :
( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X4),X5)
=> ( ( ( X1 = X5 )
& ( X0 = X4 ) )
| vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X4),X5) ) )
=> ! [X6: b,X7: a] :
( ( ~ ( ( X1 = X7 )
& ( X0 = X6 ) )
& vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X6),X7) )
=> vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X6),X7) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: b,X1: a,X2: b > a > $o,X3: b > a > $o] :
( ! [X4: b,X5: a] :
( vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X4),X5)
=> ( ( ( X1 = X5 )
& ( X0 = X4 ) )
| vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X4),X5) ) )
=> ! [X6: b,X7: a] :
( ( ~ ( ( X1 = X7 )
& ( X0 = X6 ) )
& vAPP(a,$o,vAPP(b,sTfun(a,$o),X3,X6),X7) )
=> vAPP(a,$o,vAPP(b,sTfun(a,$o),X2,X6),X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM176_pme) ).
thf(f15,plain,
$true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,sK4),sK5),
inference(cnf_transformation,[],[f12]) ).
thf(f17,plain,
$true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,sK4),sK5),
inference(cnf_transformation,[],[f12]) ).
thf(f59,plain,
sK1 != sK5,
inference(unit_resulting_resolution,[],[f54,f16]) ).
thf(f16,plain,
( ( sK1 != sK5 )
| ( sK0 != sK4 ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f54,plain,
sK0 = sK4,
inference(unit_resulting_resolution,[],[f17,f15,f13]) ).
thf(f13,plain,
! [X6: b,X7: a] :
( ( $true != vAPP(a,$o,vAPP(b,sTfun(a,$o),sK3,X6),X7) )
| ( $true = vAPP(a,$o,vAPP(b,sTfun(a,$o),sK2,X6),X7) )
| ( sK0 = X6 ) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV061^5 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n006.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 11:46:19 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (3818)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (3823)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/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 % (3821)WARNING: value z3 for option sas not known
% 0.15/0.37 % (3819)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (3821)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 % (3824)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 % (3826)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 % (3825)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 % (3820)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 % 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 % (3826)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 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
% 0.21/0.37 % (3826)First to succeed.
% 0.21/0.37 % (3825)Also succeeded, but the first one will report.
% 0.21/0.37 % (3824)Also succeeded, but the first one will report.
% 0.21/0.37 % (3826)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3818"
% 0.21/0.37 % (3821)Also succeeded, but the first one will report.
% 0.21/0.37 % (3826)Refutation found. Thanks to Tanya!
% 0.21/0.37 % SZS status Theorem for theBenchmark
% 0.21/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.37 % (3826)------------------------------
% 0.21/0.37 % (3826)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.37 % (3826)Termination reason: Refutation
% 0.21/0.37
% 0.21/0.37 % (3826)Memory used [KB]: 765
% 0.21/0.37 % (3826)Time elapsed: 0.006 s
% 0.21/0.37 % (3826)Instructions burned: 7 (million)
% 0.21/0.37 % (3818)Success in time 0.018 s
%------------------------------------------------------------------------------