TSTP Solution File: HEN010-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN010-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 Apr 30 12:10:10 EDT 2024
% Result : Unsatisfiable 1.61s 0.60s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 29 ( 21 unt; 0 def)
% Number of atoms : 39 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 15 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15568,plain,
$false,
inference(subsumption_resolution,[],[f15567,f300]) ).
fof(f300,plain,
! [X0] : less_equal(X0,divide(X0,zero)),
inference(unit_resulting_resolution,[],[f283,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal2) ).
fof(f283,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(unit_resulting_resolution,[],[f242,f66]) ).
fof(f66,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f242,plain,
! [X0,X1] : less_equal(divide(X0,divide(X0,X1)),X1),
inference(unit_resulting_resolution,[],[f37,f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).
fof(f37,plain,
! [X0] : less_equal(X0,X0),
inference(unit_resulting_resolution,[],[f10,f2]) ).
fof(f10,axiom,
! [X0] : zero = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f15567,plain,
~ less_equal(divide(identity,a),divide(divide(identity,a),zero)),
inference(forward_demodulation,[],[f15392,f10]) ).
fof(f15392,plain,
~ less_equal(divide(identity,a),divide(divide(identity,a),divide(a,a))),
inference(unit_resulting_resolution,[],[f14049,f4,f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X2)
| less_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).
fof(f14049,plain,
~ less_equal(divide(identity,a),divide(divide(identity,a),a)),
inference(unit_resulting_resolution,[],[f837,f3898,f12]) ).
fof(f3898,plain,
~ less_equal(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a)))),
inference(unit_resulting_resolution,[],[f907,f17,f6]) ).
fof(f17,axiom,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_inversion) ).
fof(f907,plain,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),X2),divide(identity,X1)),
inference(unit_resulting_resolution,[],[f844,f100]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ less_equal(X0,X1)
| less_equal(divide(X0,X2),X1) ),
inference(resolution,[],[f12,f3]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f844,plain,
! [X0,X1] : less_equal(divide(X0,X1),divide(identity,X1)),
inference(unit_resulting_resolution,[],[f7,f15]) ).
fof(f15,axiom,
! [X2,X0,X1] :
( ~ less_equal(X0,X1)
| less_equal(divide(X0,X2),divide(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide3) ).
fof(f7,axiom,
! [X0] : less_equal(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_is_largest) ).
fof(f837,plain,
! [X2,X0,X1] : less_equal(divide(X0,X1),divide(X0,divide(X2,divide(X2,X1)))),
inference(forward_demodulation,[],[f818,f343]) ).
fof(f343,plain,
! [X0] : divide(X0,zero) = X0,
inference(unit_resulting_resolution,[],[f3,f300,f6]) ).
fof(f818,plain,
! [X2,X0,X1] : less_equal(divide(X0,X1),divide(X0,divide(X2,divide(divide(X2,X1),zero)))),
inference(unit_resulting_resolution,[],[f348,f14]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ less_equal(X0,X1)
| less_equal(divide(X2,X1),divide(X2,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide2) ).
fof(f348,plain,
! [X0,X1] : less_equal(divide(X0,divide(divide(X0,X1),zero)),X1),
inference(unit_resulting_resolution,[],[f300,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN010-4 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 22:24:49 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (21060)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.36 % (21064)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.36 TRYING [1]
% 0.21/0.36 TRYING [2]
% 0.21/0.37 TRYING [3]
% 0.21/0.37 % (21063)WARNING: value z3 for option sas not known
% 0.21/0.37 % (21061)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (21062)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (21063)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)
% 0.21/0.37 TRYING [4]
% 0.21/0.37 % (21065)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)
% 0.21/0.37 % (21066)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)
% 0.21/0.37 % (21067)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)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.38 TRYING [5]
% 0.21/0.38 TRYING [3]
% 0.21/0.40 TRYING [4]
% 0.21/0.40 TRYING [6]
% 0.21/0.47 TRYING [5]
% 0.21/0.49 TRYING [7]
% 1.61/0.57 TRYING [6]
% 1.61/0.59 TRYING [8]
% 1.61/0.59 % (21067)First to succeed.
% 1.61/0.60 % (21067)Refutation found. Thanks to Tanya!
% 1.61/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.61/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.60 % (21067)------------------------------
% 1.61/0.60 % (21067)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.61/0.60 % (21067)Termination reason: Refutation
% 1.61/0.60
% 1.61/0.60 % (21067)Memory used [KB]: 3164
% 1.61/0.60 % (21067)Time elapsed: 0.229 s
% 1.61/0.60 % (21067)Instructions burned: 636 (million)
% 1.61/0.60 % (21067)------------------------------
% 1.61/0.60 % (21067)------------------------------
% 1.61/0.60 % (21060)Success in time 0.235 s
%------------------------------------------------------------------------------