TSTP Solution File: ITP209^3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP209^3 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 07:05:46 EDT 2024
% Result : Theorem 0.18s 0.37s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 28
% Syntax : Number of formulae : 37 ( 13 unt; 24 typ; 0 def)
% Number of atoms : 101 ( 12 equ; 0 cnn)
% Maximal formula atoms : 1 ( 7 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 52 ( 51 >; 1 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 4 con; 0-6 aty)
% Number of variables : 30 ( 0 ^ 16 !; 0 ?; 30 :)
% ( 14 !>; 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,
syntax_ac_operator_a: ( a > a > a ) > $o ).
thf(func_def_2,type,
a2: a ).
thf(func_def_3,type,
b: a ).
thf(func_def_4,type,
c: a ).
thf(func_def_5,type,
f: a > a > a ).
thf(func_def_9,type,
vAND: $o > $o > $o ).
thf(func_def_10,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_11,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_12,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_13,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_14,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_15,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_16,type,
sK0: ( a > a > a ) > a ).
thf(func_def_17,type,
sK1: ( a > a > a ) > a ).
thf(func_def_18,type,
sK2: ( a > a > a ) > a ).
thf(func_def_19,type,
sK3: ( a > a > a ) > a ).
thf(func_def_20,type,
sK4: ( a > a > a ) > a ).
thf(func_def_21,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_22,type,
vOR: $o > $o > $o ).
thf(func_def_23,type,
vIMP: $o > $o > $o ).
thf(func_def_24,type,
vNOT: $o > $o ).
thf(f91,plain,
$false,
inference(subsumption_resolution,[],[f90,f45]) ).
thf(f45,plain,
! [X2: a,X0: a,X1: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),f,X0),vAPP(a,a,vAPP(a,sTfun(a,a),f,X1),X2)) = vAPP(a,a,vAPP(a,sTfun(a,a),f,vAPP(a,a,vAPP(a,sTfun(a,a),f,X0),X1)),X2) ),
inference(cnf_transformation,[],[f4]) ).
thf(f4,axiom,
! [X0: a,X1: a,X2: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),f,X0),vAPP(a,a,vAPP(a,sTfun(a,a),f,X1),X2)) = vAPP(a,a,vAPP(a,sTfun(a,a),f,vAPP(a,a,vAPP(a,sTfun(a,a),f,X0),X1)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_right__assoc) ).
thf(f90,plain,
vAPP(a,a,vAPP(a,sTfun(a,a),f,vAPP(a,a,vAPP(a,sTfun(a,a),f,a2),b)),c) != vAPP(a,a,vAPP(a,sTfun(a,a),f,a2),vAPP(a,a,vAPP(a,sTfun(a,a),f,b),c)),
inference(forward_demodulation,[],[f86,f44]) ).
thf(f44,plain,
! [X2: a,X0: a,X1: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),f,X0),vAPP(a,a,vAPP(a,sTfun(a,a),f,X1),X2)) = vAPP(a,a,vAPP(a,sTfun(a,a),f,X1),vAPP(a,a,vAPP(a,sTfun(a,a),f,X0),X2)) ),
inference(cnf_transformation,[],[f3]) ).
thf(f3,axiom,
! [X0: a,X1: a,X2: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),f,X0),vAPP(a,a,vAPP(a,sTfun(a,a),f,X1),X2)) = vAPP(a,a,vAPP(a,sTfun(a,a),f,X1),vAPP(a,a,vAPP(a,sTfun(a,a),f,X0),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_left__commute) ).
thf(f86,plain,
vAPP(a,a,vAPP(a,sTfun(a,a),f,vAPP(a,a,vAPP(a,sTfun(a,a),f,a2),b)),c) != vAPP(a,a,vAPP(a,sTfun(a,a),f,b),vAPP(a,a,vAPP(a,sTfun(a,a),f,a2),c)),
inference(superposition,[],[f40,f43]) ).
thf(f43,plain,
! [X0: a,X1: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),f,X0),X1) = vAPP(a,a,vAPP(a,sTfun(a,a),f,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
thf(f2,axiom,
! [X0: a,X1: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),f,X0),X1) = vAPP(a,a,vAPP(a,sTfun(a,a),f,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_commute) ).
thf(f40,plain,
vAPP(a,a,vAPP(a,sTfun(a,a),f,vAPP(a,a,vAPP(a,sTfun(a,a),f,a2),b)),c) != vAPP(a,a,vAPP(a,sTfun(a,a),f,vAPP(a,a,vAPP(a,sTfun(a,a),f,a2),c)),b),
inference(cnf_transformation,[],[f29]) ).
thf(f29,plain,
vAPP(a,a,vAPP(a,sTfun(a,a),f,vAPP(a,a,vAPP(a,sTfun(a,a),f,a2),b)),c) != vAPP(a,a,vAPP(a,sTfun(a,a),f,vAPP(a,a,vAPP(a,sTfun(a,a),f,a2),c)),b),
inference(flattening,[],[f12]) ).
thf(f12,negated_conjecture,
vAPP(a,a,vAPP(a,sTfun(a,a),f,vAPP(a,a,vAPP(a,sTfun(a,a),f,a2),b)),c) != vAPP(a,a,vAPP(a,sTfun(a,a),f,vAPP(a,a,vAPP(a,sTfun(a,a),f,a2),c)),b),
inference(negated_conjecture,[],[f11]) ).
thf(f11,conjecture,
vAPP(a,a,vAPP(a,sTfun(a,a),f,vAPP(a,a,vAPP(a,sTfun(a,a),f,a2),b)),c) = vAPP(a,a,vAPP(a,sTfun(a,a),f,vAPP(a,a,vAPP(a,sTfun(a,a),f,a2),c)),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : ITP209^3 : TPTP v8.1.2. Released v8.1.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.34 % Computer : n008.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Fri May 3 19:19:38 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % (17292)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.36 % (17295)WARNING: value z3 for option sas not known
% 0.18/0.36 % (17295)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)
% 0.18/0.36 % (17297)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)
% 0.18/0.36 % (17296)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.36 % (17299)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)
% 0.18/0.36 % (17298)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)
% 0.18/0.36 % (17294)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.36 % (17293)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.36 % (17299)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.18/0.36 % Exception at run slice level% Exception at run slice level% Exception at run slice level
% 0.18/0.36
% 0.18/0.36 User error: User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructsFinite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.36
% 0.18/0.36
% 0.18/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.36 % (17299)First to succeed.
% 0.18/0.36 % (17299)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17292"
% 0.18/0.37 % (17299)Refutation found. Thanks to Tanya!
% 0.18/0.37 % SZS status Theorem for theBenchmark
% 0.18/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.37 % (17299)------------------------------
% 0.18/0.37 % (17299)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.37 % (17299)Termination reason: Refutation
% 0.18/0.37
% 0.18/0.37 % (17299)Memory used [KB]: 1010
% 0.18/0.37 % (17299)Time elapsed: 0.007 s
% 0.18/0.37 % (17299)Instructions burned: 12 (million)
% 0.18/0.37 % (17292)Success in time 0.022 s
%------------------------------------------------------------------------------