TSTP Solution File: HEN010-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : HEN010-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n032.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 : Thu Aug 31 01:57:18 EDT 2023
% Result : Unsatisfiable 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 44 ( 23 unt; 0 def)
% Number of atoms : 92 ( 9 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 108 ( 60 ~; 43 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 96 (; 96 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1690,plain,
$false,
inference(subsumption_resolution,[],[f1160,f1688]) ).
fof(f1688,plain,
sP4(idQa,idQa_Q__idQ_idQa,zero),
inference(unit_resulting_resolution,[],[f8,f1667,f31]) ).
fof(f31,plain,
! [X6,X7,X4,X5] :
( less_equal(X6,X7)
| ~ quotient(X5,X4,X6)
| sP4(X5,X4,X7) ),
inference(cnf_transformation,[],[f31_D]) ).
fof(f31_D,plain,
! [X7,X4,X5] :
( ! [X6] :
( less_equal(X6,X7)
| ~ quotient(X5,X4,X6) )
<=> ~ sP4(X5,X4,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1667,plain,
~ less_equal(divide(idQa,idQa_Q__idQ_idQa),zero),
inference(unit_resulting_resolution,[],[f13,f120,f23]) ).
fof(f23,plain,
! [X2,X10,X0,X9] :
( ~ less_equal(X9,X2)
| ~ quotient(X0,X2,X10)
| sP0(X10,X0,X9) ),
inference(cnf_transformation,[],[f23_D]) ).
fof(f23_D,plain,
! [X9,X0,X10] :
( ! [X2] :
( ~ less_equal(X9,X2)
| ~ quotient(X0,X2,X10) )
<=> ~ sP0(X10,X0,X9) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f120,plain,
! [X0] : ~ sP0(idQa,X0,divide(X0,idQa_Q__idQ_idQa)),
inference(unit_resulting_resolution,[],[f8,f97,f24]) ).
fof(f24,plain,
! [X10,X0,X1,X9] :
( less_equal(X10,X1)
| ~ quotient(X0,X1,X9)
| ~ sP0(X10,X0,X9) ),
inference(general_splitting,[],[f15,f23_D]) ).
fof(f15,axiom,
! [X2,X10,X0,X1,X9] :
( ~ less_equal(X9,X2)
| less_equal(X10,X1)
| ~ quotient(X0,X2,X10)
| ~ quotient(X0,X1,X9) ),
file('/export/starexec/sandbox/tmp/tmp.HuaQb6Kxiw/Vampire---4.8_7171',xQyLEz_implies_xQzLEy) ).
fof(f97,plain,
~ less_equal(idQa,idQa_Q__idQ_idQa),
inference(unit_resulting_resolution,[],[f22,f79,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.HuaQb6Kxiw/Vampire---4.8_7171',less_equal_and_equal) ).
fof(f79,plain,
less_equal(idQa_Q__idQ_idQa,idQa),
inference(unit_resulting_resolution,[],[f21,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( less_equal(X2,X0)
| ~ quotient(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.HuaQb6Kxiw/Vampire---4.8_7171',divisor_existence) ).
fof(f21,axiom,
quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa),
file('/export/starexec/sandbox/tmp/tmp.HuaQb6Kxiw/Vampire---4.8_7171',identity_divide_idQ_idQa) ).
fof(f22,axiom,
idQa != idQa_Q__idQ_idQa,
file('/export/starexec/sandbox/tmp/tmp.HuaQb6Kxiw/Vampire---4.8_7171',prove_idQa_equals_idQa_Q__idQ_idQa) ).
fof(f13,axiom,
! [X0] : quotient(X0,zero,X0),
file('/export/starexec/sandbox/tmp/tmp.HuaQb6Kxiw/Vampire---4.8_7171',x_divde_zero_is_x) ).
fof(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.HuaQb6Kxiw/Vampire---4.8_7171',closure) ).
fof(f1160,plain,
~ sP4(idQa,idQa_Q__idQ_idQa,zero),
inference(forward_demodulation,[],[f1158,f85]) ).
fof(f85,plain,
idQa_Q__idQ_idQa = divide(idQa,idQ_idQa),
inference(unit_resulting_resolution,[],[f8,f21,f9]) ).
fof(f9,axiom,
! [X2,X0,X1,X8] :
( X2 = X8
| ~ quotient(X0,X1,X8)
| ~ quotient(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.HuaQb6Kxiw/Vampire---4.8_7171',well_defined) ).
fof(f1158,plain,
~ sP4(idQa,divide(idQa,idQ_idQa),zero),
inference(unit_resulting_resolution,[],[f8,f402,f36]) ).
fof(f36,plain,
! [X2,X1,X7,X4,X5] :
( ~ quotient(X1,X2,X4)
| ~ sP4(X5,X4,X7)
| ~ sP6(X7,X5,X2,X1) ),
inference(general_splitting,[],[f34,f35_D]) ).
fof(f35,plain,
! [X2,X0,X1,X7,X5] :
( ~ quotient(X0,X2,X5)
| ~ sP5(X1,X0,X2,X7)
| sP6(X7,X5,X2,X1) ),
inference(cnf_transformation,[],[f35_D]) ).
fof(f35_D,plain,
! [X1,X2,X5,X7] :
( ! [X0] :
( ~ quotient(X0,X2,X5)
| ~ sP5(X1,X0,X2,X7) )
<=> ~ sP6(X7,X5,X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).
fof(f34,plain,
! [X2,X0,X1,X7,X4,X5] :
( ~ quotient(X0,X2,X5)
| ~ quotient(X1,X2,X4)
| ~ sP4(X5,X4,X7)
| ~ sP5(X1,X0,X2,X7) ),
inference(general_splitting,[],[f32,f33_D]) ).
fof(f33,plain,
! [X2,X3,X0,X1,X7] :
( ~ quotient(X3,X2,X7)
| ~ quotient(X0,X1,X3)
| sP5(X1,X0,X2,X7) ),
inference(cnf_transformation,[],[f33_D]) ).
fof(f33_D,plain,
! [X7,X2,X0,X1] :
( ! [X3] :
( ~ quotient(X3,X2,X7)
| ~ quotient(X0,X1,X3) )
<=> ~ sP5(X1,X0,X2,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f32,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ~ quotient(X3,X2,X7)
| ~ quotient(X0,X2,X5)
| ~ quotient(X1,X2,X4)
| ~ quotient(X0,X1,X3)
| ~ sP4(X5,X4,X7) ),
inference(general_splitting,[],[f4,f31_D]) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( less_equal(X6,X7)
| ~ quotient(X3,X2,X7)
| ~ quotient(X5,X4,X6)
| ~ quotient(X0,X2,X5)
| ~ quotient(X1,X2,X4)
| ~ quotient(X0,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.HuaQb6Kxiw/Vampire---4.8_7171',quotient_property) ).
fof(f402,plain,
sP6(zero,idQa,idQ_idQa,idQa),
inference(forward_demodulation,[],[f401,f76]) ).
fof(f76,plain,
idQa = divide(identity,idQ_idQa),
inference(backward_demodulation,[],[f58,f66]) ).
fof(f66,plain,
idQ_idQa = divide(identity,idQa),
inference(unit_resulting_resolution,[],[f8,f20,f9]) ).
fof(f20,axiom,
quotient(identity,idQa,idQ_idQa),
file('/export/starexec/sandbox/tmp/tmp.HuaQb6Kxiw/Vampire---4.8_7171',identity_divide_idQa) ).
fof(f58,plain,
idQa = divide(identity,divide(identity,idQa)),
inference(unit_resulting_resolution,[],[f8,f8,f41,f30]) ).
fof(f30,plain,
! [X11,X12,X13] :
( X11 = X13
| ~ quotient(identity,X12,X13)
| ~ quotient(identity,X11,X12)
| ~ sP3(X11) ),
inference(general_splitting,[],[f18,f29_D]) ).
fof(f29,plain,
! [X0,X11] :
( ~ quotient(identity,X0,X11)
| sP3(X11) ),
inference(cnf_transformation,[],[f29_D]) ).
fof(f29_D,plain,
! [X11] :
( ! [X0] : ~ quotient(identity,X0,X11)
<=> ~ sP3(X11) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f18,axiom,
! [X0,X11,X12,X13] :
( X11 = X13
| ~ quotient(identity,X12,X13)
| ~ quotient(identity,X11,X12)
| ~ quotient(identity,X0,X11) ),
file('/export/starexec/sandbox/tmp/tmp.HuaQb6Kxiw/Vampire---4.8_7171',one_inversion_equals_three) ).
fof(f41,plain,
sP3(idQa),
inference(unit_resulting_resolution,[],[f19,f29]) ).
fof(f19,axiom,
quotient(identity,a,idQa),
file('/export/starexec/sandbox/tmp/tmp.HuaQb6Kxiw/Vampire---4.8_7171',identity_divide_a) ).
fof(f401,plain,
sP6(zero,divide(identity,idQ_idQa),idQ_idQa,idQa),
inference(unit_resulting_resolution,[],[f8,f70,f35]) ).
fof(f70,plain,
sP5(idQa,identity,idQ_idQa,zero),
inference(unit_resulting_resolution,[],[f12,f20,f33]) ).
fof(f12,axiom,
! [X0] : quotient(X0,X0,zero),
file('/export/starexec/sandbox/tmp/tmp.HuaQb6Kxiw/Vampire---4.8_7171',x_divide_x_is_zero) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : HEN010-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Thu Aug 24 13:35:41 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.11/0.30 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.11/0.30 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.HuaQb6Kxiw/Vampire---4.8_7171
% 0.11/0.30 % (7567)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (7572)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.15/0.34 % (7575)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.15/0.34 % (7576)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.15/0.34 % (7573)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.15/0.34 % (7577)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.15/0.34 % (7574)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.15/0.34 % (7571)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.15/0.34 % (7574)Refutation not found, incomplete strategy% (7574)------------------------------
% 0.15/0.34 % (7574)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.15/0.34 % (7574)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.15/0.34 % (7574)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.34
% 0.15/0.34 % (7574)Memory used [KB]: 9978
% 0.15/0.34 % (7574)Time elapsed: 0.004 s
% 0.15/0.34 % (7574)------------------------------
% 0.15/0.34 % (7574)------------------------------
% 0.15/0.37 % (7573)Refutation not found, incomplete strategy% (7573)------------------------------
% 0.15/0.37 % (7573)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.15/0.37 % (7573)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.15/0.37 % (7573)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.37
% 0.15/0.37 % (7573)Memory used [KB]: 1023
% 0.15/0.37 % (7573)Time elapsed: 0.039 s
% 0.15/0.37 % (7573)------------------------------
% 0.15/0.37 % (7573)------------------------------
% 0.15/0.38 % (7619)ott+10_5_av=off:bsr=on:br=off:drc=off:fsd=off:fsr=off:fde=unused:gsp=on:lcm=predicate:lma=on:nwc=2.5:sos=all:sp=occurrence:tgt=full:urr=on_375 on Vampire---4 for (375ds/0Mi)
% 0.15/0.40 % (7619)First to succeed.
% 0.15/0.40 % (7619)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Unsatisfiable for Vampire---4
% 0.15/0.40 % SZS output start Proof for Vampire---4
% See solution above
% 0.15/0.41 % (7619)------------------------------
% 0.15/0.41 % (7619)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.15/0.41 % (7619)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.15/0.41 % (7619)Termination reason: Refutation
% 0.15/0.41
% 0.15/0.41 % (7619)Memory used [KB]: 1918
% 0.15/0.41 % (7619)Time elapsed: 0.026 s
% 0.15/0.41 % (7619)------------------------------
% 0.15/0.41 % (7619)------------------------------
% 0.15/0.41 % (7567)Success in time 0.102 s
% 0.15/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------