TSTP Solution File: BOO013-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : BOO013-3 : 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 : n010.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 : Wed Aug 30 18:11:51 EDT 2023
% Result : Unsatisfiable 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 37 ( 19 unt; 0 def)
% Number of atoms : 67 ( 8 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 61 ( 31 ~; 28 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 77 (; 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3710,plain,
$false,
inference(subsumption_resolution,[],[f3698,f28]) ).
fof(f28,axiom,
y != z,
file('/export/starexec/sandbox/tmp/tmp.obnvYqjt9k/Vampire---4.8_19245',prove_both_inverse_are_equal) ).
fof(f3698,plain,
y = z,
inference(resolution,[],[f3682,f89]) ).
fof(f89,plain,
! [X10,X11] :
( ~ sum(additive_identity,X10,X11)
| X10 = X11 ),
inference(resolution,[],[f21,f5]) ).
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/tmp/tmp.obnvYqjt9k/Vampire---4.8_19245',additive_identity1) ).
fof(f21,axiom,
! [X0,X1,X8,X7] :
( ~ sum(X0,X1,X7)
| ~ sum(X0,X1,X8)
| X7 = X8 ),
file('/export/starexec/sandbox/tmp/tmp.obnvYqjt9k/Vampire---4.8_19245',addition_is_well_defined) ).
fof(f3682,plain,
sum(additive_identity,y,z),
inference(resolution,[],[f2945,f3057]) ).
fof(f3057,plain,
sP0(multiplicative_identity,z,y,x),
inference(superposition,[],[f332,f3037]) ).
fof(f3037,plain,
y = multiply(y,z),
inference(resolution,[],[f2972,f89]) ).
fof(f2972,plain,
sum(additive_identity,multiply(y,z),y),
inference(forward_demodulation,[],[f2963,f264]) ).
fof(f264,plain,
! [X4,X5] : multiply(X4,X5) = multiply(X5,X4),
inference(resolution,[],[f131,f77]) ).
fof(f77,plain,
! [X2,X3] : product(X2,X3,multiply(X3,X2)),
inference(resolution,[],[f4,f2]) ).
fof(f2,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.obnvYqjt9k/Vampire---4.8_19245',closure_of_multiplication) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.obnvYqjt9k/Vampire---4.8_19245',commutativity_of_multiplication) ).
fof(f131,plain,
! [X6,X4,X5] :
( ~ product(X4,X5,X6)
| multiply(X4,X5) = X6 ),
inference(resolution,[],[f22,f2]) ).
fof(f22,axiom,
! [X0,X1,X8,X7] :
( ~ product(X0,X1,X7)
| ~ product(X0,X1,X8)
| X7 = X8 ),
file('/export/starexec/sandbox/tmp/tmp.obnvYqjt9k/Vampire---4.8_19245',multiplication_is_well_defined) ).
fof(f2963,plain,
sum(additive_identity,multiply(z,y),y),
inference(resolution,[],[f2944,f333]) ).
fof(f333,plain,
! [X15] : sP0(multiplicative_identity,X15,multiply(z,X15),x),
inference(resolution,[],[f194,f25]) ).
fof(f25,axiom,
sum(x,z,multiplicative_identity),
file('/export/starexec/sandbox/tmp/tmp.obnvYqjt9k/Vampire---4.8_19245',sum_to_multiplicative_identity2) ).
fof(f194,plain,
! [X8,X6,X9,X7] :
( ~ sum(X6,X7,X8)
| sP0(X8,X9,multiply(X7,X9),X6) ),
inference(resolution,[],[f29,f2]) ).
fof(f29,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X2,X0,X4)
| ~ sum(X1,X2,X5)
| sP0(X5,X0,X4,X1) ),
inference(cnf_transformation,[],[f29_D]) ).
fof(f29_D,plain,
! [X1,X4,X0,X5] :
( ! [X2] :
( ~ product(X2,X0,X4)
| ~ sum(X1,X2,X5) )
<=> ~ sP0(X5,X0,X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2944,plain,
! [X4] :
( ~ sP0(multiplicative_identity,y,X4,x)
| sum(additive_identity,X4,y) ),
inference(resolution,[],[f1146,f315]) ).
fof(f315,plain,
! [X21,X20] :
( sP1(X20,y,X21,x)
| sum(additive_identity,X20,X21) ),
inference(resolution,[],[f31,f26]) ).
fof(f26,axiom,
product(x,y,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.obnvYqjt9k/Vampire---4.8_19245',product_to_additive_identity1) ).
fof(f31,plain,
! [X3,X0,X1,X6,X4] :
( ~ product(X1,X0,X3)
| sum(X3,X4,X6)
| sP1(X4,X0,X6,X1) ),
inference(cnf_transformation,[],[f31_D]) ).
fof(f31_D,plain,
! [X1,X6,X0,X4] :
( ! [X3] :
( ~ product(X1,X0,X3)
| sum(X3,X4,X6) )
<=> ~ sP1(X4,X0,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1146,plain,
! [X16,X14,X15] :
( ~ sP1(X15,X14,X14,X16)
| ~ sP0(multiplicative_identity,X14,X15,X16) ),
inference(resolution,[],[f32,f7]) ).
fof(f7,axiom,
! [X0] : product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox/tmp/tmp.obnvYqjt9k/Vampire---4.8_19245',multiplicative_identity1) ).
fof(f32,plain,
! [X0,X1,X6,X4,X5] :
( ~ product(X5,X0,X6)
| ~ sP0(X5,X0,X4,X1)
| ~ sP1(X4,X0,X6,X1) ),
inference(general_splitting,[],[f30,f31_D]) ).
fof(f30,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ product(X1,X0,X3)
| ~ product(X5,X0,X6)
| sum(X3,X4,X6)
| ~ sP0(X5,X0,X4,X1) ),
inference(general_splitting,[],[f11,f29_D]) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X1,X0,X3)
| ~ product(X5,X0,X6)
| ~ sum(X1,X2,X5)
| ~ product(X2,X0,X4)
| sum(X3,X4,X6) ),
file('/export/starexec/sandbox/tmp/tmp.obnvYqjt9k/Vampire---4.8_19245',distributivity3) ).
fof(f332,plain,
! [X14] : sP0(multiplicative_identity,X14,multiply(y,X14),x),
inference(resolution,[],[f194,f24]) ).
fof(f24,axiom,
sum(x,y,multiplicative_identity),
file('/export/starexec/sandbox/tmp/tmp.obnvYqjt9k/Vampire---4.8_19245',sum_to_multiplicative_identity1) ).
fof(f2945,plain,
! [X5] :
( ~ sP0(multiplicative_identity,z,X5,x)
| sum(additive_identity,X5,z) ),
inference(resolution,[],[f1146,f316]) ).
fof(f316,plain,
! [X22,X23] :
( sP1(X22,z,X23,x)
| sum(additive_identity,X22,X23) ),
inference(resolution,[],[f31,f27]) ).
fof(f27,axiom,
product(x,z,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.obnvYqjt9k/Vampire---4.8_19245',product_to_additive_identity2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : BOO013-3 : TPTP v8.1.2. Released v1.0.0.
% 0.15/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 08:29:04 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.obnvYqjt9k/Vampire---4.8_19245
% 0.15/0.37 % (19352)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (19358)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.21/0.43 % (19353)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)
% 0.21/0.43 % (19356)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)
% 0.21/0.43 % (19354)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)
% 0.21/0.43 % (19355)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)
% 0.21/0.43 % (19357)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)
% 0.21/0.43 % (19360)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)
% 0.21/0.43 % (19356)Refutation not found, incomplete strategy% (19356)------------------------------
% 0.21/0.43 % (19356)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (19356)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (19356)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43 % (19356)Memory used [KB]: 10106
% 0.21/0.43 % (19356)Time elapsed: 0.007 s
% 0.21/0.43 % (19356)------------------------------
% 0.21/0.43 % (19356)------------------------------
% 0.21/0.50 % (19355)Refutation not found, incomplete strategy% (19355)------------------------------
% 0.21/0.50 % (19355)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.50 % (19355)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.50 % (19355)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50
% 0.21/0.50 % (19355)Memory used [KB]: 1151
% 0.21/0.50 % (19355)Time elapsed: 0.067 s
% 0.21/0.50 % (19355)------------------------------
% 0.21/0.50 % (19355)------------------------------
% 0.21/0.50 % (19361)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)
% 0.21/0.51 % (19360)First to succeed.
% 0.21/0.52 % (19360)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.52 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.52 % (19360)------------------------------
% 0.21/0.52 % (19360)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.52 % (19360)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.52 % (19360)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (19360)Memory used [KB]: 3326
% 0.21/0.52 % (19360)Time elapsed: 0.084 s
% 0.21/0.52 % (19360)------------------------------
% 0.21/0.52 % (19360)------------------------------
% 0.21/0.52 % (19352)Success in time 0.144 s
% 0.21/0.52 % Vampire---4.8 exiting
%------------------------------------------------------------------------------