TSTP Solution File: ITP209^2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP209^2 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 : Mon May 20 22:57:07 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 29
% Syntax : Number of formulae : 41 ( 15 unt; 26 typ; 0 def)
% Number of atoms : 115 ( 14 equ; 0 cnn)
% Maximal formula atoms : 1 ( 7 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 56 ( 55 >; 1 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 4 con; 0-6 aty)
% Number of variables : 39 ( 0 ^ 15 !; 0 ?; 39 :)
% ( 24 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
syntax_ac_operator:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > $o ) ).
thf(func_def_2,type,
syntax7388354845996824322omatch:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > $o ) ).
thf(func_def_3,type,
syntax2379306206330768139omatch:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > $o ) ).
thf(func_def_4,type,
a2: a ).
thf(func_def_5,type,
b: a ).
thf(func_def_6,type,
c: a ).
thf(func_def_7,type,
f: a > a > a ).
thf(func_def_11,type,
vAND: $o > $o > $o ).
thf(func_def_12,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_13,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_14,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_15,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_16,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_17,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_18,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_19,type,
sK0:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_20,type,
sK1:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_21,type,
sK2:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_22,type,
sK3:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_23,type,
sK4:
!>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).
thf(func_def_25,type,
vOR: $o > $o > $o ).
thf(func_def_26,type,
vIMP: $o > $o > $o ).
thf(func_def_27,type,
vNOT: $o > $o ).
thf(f142,plain,
$false,
inference(subsumption_resolution,[],[f141,f55]) ).
thf(f55,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,[],[f37]) ).
thf(f37,plain,
! [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)) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X2: a,X3: a,X4: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),f,X2),vAPP(a,a,vAPP(a,sTfun(a,a),f,X3),X4)) = vAPP(a,a,vAPP(a,sTfun(a,a),f,X3),vAPP(a,a,vAPP(a,sTfun(a,a),f,X2),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_left__commute) ).
thf(f141,plain,
vAPP(a,a,vAPP(a,sTfun(a,a),f,b),vAPP(a,a,vAPP(a,sTfun(a,a),f,a2),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,[],[f123,f51]) ).
thf(f51,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,[],[f36]) ).
thf(f36,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(rectify,[],[f2]) ).
thf(f2,axiom,
! [X2: a,X3: a] : ( vAPP(a,a,vAPP(a,sTfun(a,a),f,X2),X3) = vAPP(a,a,vAPP(a,sTfun(a,a),f,X3),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_commute) ).
thf(f123,plain,
vAPP(a,a,vAPP(a,sTfun(a,a),f,b),vAPP(a,a,vAPP(a,sTfun(a,a),f,a2),c)) != vAPP(a,a,vAPP(a,sTfun(a,a),f,a2),vAPP(a,a,vAPP(a,sTfun(a,a),f,c),b)),
inference(superposition,[],[f93,f55]) ).
thf(f93,plain,
vAPP(a,a,vAPP(a,sTfun(a,a),f,b),vAPP(a,a,vAPP(a,sTfun(a,a),f,a2),c)) != vAPP(a,a,vAPP(a,sTfun(a,a),f,c),vAPP(a,a,vAPP(a,sTfun(a,a),f,a2),b)),
inference(superposition,[],[f92,f51]) ).
thf(f92,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(forward_demodulation,[],[f49,f51]) ).
thf(f49,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,[],[f35]) ).
thf(f35,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,[],[f14]) ).
thf(f14,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,[],[f13]) ).
thf(f13,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
% 0.07/0.12 % Problem : ITP209^2 : TPTP v8.2.0. Released v8.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat May 18 18:19:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (20919)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (20922)WARNING: value z3 for option sas not known
% 0.13/0.37 % (20921)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (20920)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (20923)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (20922)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)
% 0.13/0.37 % (20924)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)
% 0.13/0.37 % (20925)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)
% 0.13/0.37 % (20926)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)
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % (20926)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.38 % (20924)Also succeeded, but the first one will report.
% 0.13/0.38 % (20922)First to succeed.
% 0.13/0.38 % (20926)Also succeeded, but the first one will report.
% 0.13/0.38 % (20922)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20919"
% 0.13/0.38 % (20922)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (20922)------------------------------
% 0.13/0.38 % (20922)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (20922)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (20922)Memory used [KB]: 887
% 0.13/0.38 % (20922)Time elapsed: 0.013 s
% 0.13/0.38 % (20922)Instructions burned: 20 (million)
% 0.13/0.38 % (20919)Success in time 0.016 s
%------------------------------------------------------------------------------