TSTP Solution File: HEN005-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN005-3 : 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 12:10:02 EDT 2024
% Result : Unsatisfiable 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 16 unt; 0 def)
% Number of atoms : 23 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 9 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f144,plain,
$false,
inference(subsumption_resolution,[],[f142,f70]) ).
fof(f70,plain,
~ less_equal(divide(divide(a,c),zero),zero),
inference(unit_resulting_resolution,[],[f5,f59,f6]) ).
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(f59,plain,
zero != divide(divide(a,c),zero),
inference(unit_resulting_resolution,[],[f51,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(f51,plain,
~ less_equal(divide(a,c),zero),
inference(unit_resulting_resolution,[],[f31,f5,f6]) ).
fof(f31,plain,
zero != divide(a,c),
inference(unit_resulting_resolution,[],[f10,f2]) ).
fof(f10,axiom,
~ less_equal(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_LE_c) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f142,plain,
less_equal(divide(divide(a,c),zero),zero),
inference(superposition,[],[f129,f15]) ).
fof(f15,plain,
zero = divide(b,c),
inference(unit_resulting_resolution,[],[f9,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f9,axiom,
less_equal(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_LE_c) ).
fof(f129,plain,
! [X0] : less_equal(divide(divide(a,X0),divide(b,X0)),zero),
inference(forward_demodulation,[],[f115,f13]) ).
fof(f13,plain,
! [X0] : zero = divide(zero,X0),
inference(unit_resulting_resolution,[],[f5,f1]) ).
fof(f115,plain,
! [X0] : less_equal(divide(divide(a,X0),divide(b,X0)),divide(zero,X0)),
inference(superposition,[],[f4,f14]) ).
fof(f14,plain,
zero = divide(a,b),
inference(unit_resulting_resolution,[],[f8,f1]) ).
fof(f8,axiom,
less_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_LE_b) ).
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN005-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 : Mon Apr 29 22:24:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (19852)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (19854)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 % (19855)WARNING: value z3 for option sas not known
% 0.13/0.37 % (19853)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (19855)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 % (19857)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 % (19858)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 % (19859)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 % (19856)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.38 % (19859)First to succeed.
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 % (19859)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (19859)------------------------------
% 0.13/0.38 % (19859)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (19859)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (19859)Memory used [KB]: 847
% 0.13/0.38 % (19859)Time elapsed: 0.006 s
% 0.13/0.38 % (19859)Instructions burned: 7 (million)
% 0.13/0.38 % (19859)------------------------------
% 0.13/0.38 % (19859)------------------------------
% 0.13/0.38 % (19852)Success in time 0.023 s
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