TSTP Solution File: PUZ007-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PUZ007-1 : 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 : n015.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 13:24:29 EDT 2023
% Result : Unsatisfiable 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 24
% Syntax : Number of formulae : 79 ( 3 unt; 0 def)
% Number of atoms : 183 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 201 ( 97 ~; 97 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 10 (; 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f160,plain,
$false,
inference(avatar_sat_refutation,[],[f37,f46,f65,f72,f77,f104,f108,f131,f145,f158]) ).
fof(f158,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f157]) ).
fof(f157,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f156,f60]) ).
fof(f60,plain,
( female(b)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_7
<=> female(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f156,plain,
( ~ female(b)
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f152,f32]) ).
fof(f32,plain,
( from_mars(b)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl0_1
<=> from_mars(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f152,plain,
( ~ from_mars(b)
| ~ female(b)
| spl0_2 ),
inference(resolution,[],[f86,f14]) ).
fof(f14,axiom,
! [X0] :
( liar(X0)
| ~ from_mars(X0)
| ~ female(X0) ),
file('/export/starexec/sandbox/tmp/tmp.coFKzOSfdo/Vampire---4.8_15430',marsian_females_are_liars) ).
fof(f86,plain,
( ~ liar(b)
| spl0_2 ),
inference(subsumption_resolution,[],[f85,f82]) ).
fof(f82,plain,
( a_truth(a_has_lied)
| spl0_2 ),
inference(forward_demodulation,[],[f81,f23]) ).
fof(f23,axiom,
a_has_lied = statement_by(b),
file('/export/starexec/sandbox/tmp/tmp.coFKzOSfdo/Vampire---4.8_15430',b_states) ).
fof(f81,plain,
( a_truth(statement_by(b))
| spl0_2 ),
inference(subsumption_resolution,[],[f24,f73]) ).
fof(f73,plain,
( ~ a_truth(a_from_mars)
| spl0_2 ),
inference(subsumption_resolution,[],[f20,f35]) ).
fof(f35,plain,
( ~ from_mars(a)
| spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl0_2
<=> from_mars(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f20,axiom,
( ~ a_truth(a_from_mars)
| from_mars(a) ),
file('/export/starexec/sandbox/tmp/tmp.coFKzOSfdo/Vampire---4.8_15430',a_from_mars2) ).
fof(f24,axiom,
( a_truth(a_from_mars)
| a_truth(statement_by(b)) ),
file('/export/starexec/sandbox/tmp/tmp.coFKzOSfdo/Vampire---4.8_15430',truth_of_bs_statement) ).
fof(f85,plain,
( ~ a_truth(a_has_lied)
| ~ liar(b) ),
inference(superposition,[],[f83,f23]) ).
fof(f83,plain,
! [X0] :
( ~ a_truth(statement_by(X0))
| ~ liar(X0) ),
inference(resolution,[],[f9,f6]) ).
fof(f6,axiom,
! [X0] :
( ~ truthteller(X0)
| ~ liar(X0) ),
file('/export/starexec/sandbox/tmp/tmp.coFKzOSfdo/Vampire---4.8_15430',not_truthteller_and_liar) ).
fof(f9,axiom,
! [X0] :
( truthteller(X0)
| ~ a_truth(statement_by(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.coFKzOSfdo/Vampire---4.8_15430',true_statements_made_by_truthtellers) ).
fof(f145,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f144]) ).
fof(f144,plain,
( $false
| ~ spl0_2
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f143,f54]) ).
fof(f54,plain,
( female(a)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl0_6
<=> female(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f143,plain,
( ~ female(a)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f139,f36]) ).
fof(f36,plain,
( from_mars(a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f139,plain,
( ~ from_mars(a)
| ~ female(a)
| ~ spl0_2 ),
inference(resolution,[],[f136,f14]) ).
fof(f136,plain,
( ~ liar(a)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f84,f47]) ).
fof(f47,plain,
( a_truth(a_from_mars)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f19,f36]) ).
fof(f19,axiom,
( ~ from_mars(a)
| a_truth(a_from_mars) ),
file('/export/starexec/sandbox/tmp/tmp.coFKzOSfdo/Vampire---4.8_15430',a_from_mars1) ).
fof(f84,plain,
( ~ a_truth(a_from_mars)
| ~ liar(a) ),
inference(superposition,[],[f83,f22]) ).
fof(f22,axiom,
a_from_mars = statement_by(a),
file('/export/starexec/sandbox/tmp/tmp.coFKzOSfdo/Vampire---4.8_15430',a_states) ).
fof(f131,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f130]) ).
fof(f130,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f129,f47]) ).
fof(f129,plain,
( ~ a_truth(a_from_mars)
| ~ spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f115,f127]) ).
fof(f127,plain,
( a_truth(a_has_lied)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f125,f23]) ).
fof(f125,plain,
( a_truth(statement_by(b))
| ~ spl0_4
| ~ spl0_7 ),
inference(resolution,[],[f119,f10]) ).
fof(f10,axiom,
! [X0] :
( liar(X0)
| a_truth(statement_by(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.coFKzOSfdo/Vampire---4.8_15430',false_statements_made_by_liars) ).
fof(f119,plain,
( ~ liar(b)
| ~ spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f118,f45]) ).
fof(f45,plain,
( from_venus(b)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl0_4
<=> from_venus(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f118,plain,
( ~ from_venus(b)
| ~ liar(b)
| ~ spl0_7 ),
inference(resolution,[],[f60,f87]) ).
fof(f87,plain,
! [X0] :
( ~ female(X0)
| ~ from_venus(X0)
| ~ liar(X0) ),
inference(resolution,[],[f11,f6]) ).
fof(f11,axiom,
! [X0] :
( truthteller(X0)
| ~ from_venus(X0)
| ~ female(X0) ),
file('/export/starexec/sandbox/tmp/tmp.coFKzOSfdo/Vampire---4.8_15430',venusian_female_are_truthtellers) ).
fof(f115,plain,
( ~ a_truth(a_has_lied)
| ~ a_truth(a_from_mars) ),
inference(forward_demodulation,[],[f21,f23]) ).
fof(f21,axiom,
( ~ a_truth(a_from_mars)
| ~ a_truth(statement_by(b)) ),
file('/export/starexec/sandbox/tmp/tmp.coFKzOSfdo/Vampire---4.8_15430',a_from_mars3) ).
fof(f108,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f107]) ).
fof(f107,plain,
( $false
| spl0_2
| spl0_3 ),
inference(subsumption_resolution,[],[f106,f35]) ).
fof(f106,plain,
( from_mars(a)
| spl0_3 ),
inference(resolution,[],[f40,f1]) ).
fof(f1,axiom,
! [X0] :
( from_venus(X0)
| from_mars(X0) ),
file('/export/starexec/sandbox/tmp/tmp.coFKzOSfdo/Vampire---4.8_15430',from_mars_or_venus) ).
fof(f40,plain,
( ~ from_venus(a)
| spl0_3 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl0_3
<=> from_venus(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f104,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f103]) ).
fof(f103,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f102,f73]) ).
fof(f102,plain,
( a_truth(a_from_mars)
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f100,f22]) ).
fof(f100,plain,
( a_truth(statement_by(a))
| ~ spl0_3
| ~ spl0_6 ),
inference(resolution,[],[f97,f10]) ).
fof(f97,plain,
( ~ liar(a)
| ~ spl0_3
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f96,f41]) ).
fof(f41,plain,
( from_venus(a)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f96,plain,
( ~ from_venus(a)
| ~ liar(a)
| ~ spl0_6 ),
inference(resolution,[],[f87,f54]) ).
fof(f77,plain,
( spl0_6
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f76,plain,
( $false
| spl0_6
| spl0_8 ),
inference(subsumption_resolution,[],[f74,f64]) ).
fof(f64,plain,
( ~ male(a)
| spl0_8 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl0_8
<=> male(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f74,plain,
( male(a)
| spl0_6 ),
inference(resolution,[],[f3,f55]) ).
fof(f55,plain,
( ~ female(a)
| spl0_6 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f3,axiom,
! [X0] :
( female(X0)
| male(X0) ),
file('/export/starexec/sandbox/tmp/tmp.coFKzOSfdo/Vampire---4.8_15430',male_or_female) ).
fof(f72,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f71]) ).
fof(f71,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f69,f36]) ).
fof(f69,plain,
( ~ from_mars(a)
| ~ spl0_3 ),
inference(resolution,[],[f2,f41]) ).
fof(f2,axiom,
! [X0] :
( ~ from_venus(X0)
| ~ from_mars(X0) ),
file('/export/starexec/sandbox/tmp/tmp.coFKzOSfdo/Vampire---4.8_15430',not_from_mars_and_venus) ).
fof(f65,plain,
( spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f26,f62,f58]) ).
fof(f26,axiom,
( ~ male(a)
| female(b) ),
file('/export/starexec/sandbox/tmp/tmp.coFKzOSfdo/Vampire---4.8_15430',different_sex2) ).
fof(f46,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f28,f43,f39]) ).
fof(f28,axiom,
( from_venus(b)
| from_venus(a) ),
file('/export/starexec/sandbox/tmp/tmp.coFKzOSfdo/Vampire---4.8_15430',one_from_venus) ).
fof(f37,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f27,f34,f30]) ).
fof(f27,axiom,
( from_mars(a)
| from_mars(b) ),
file('/export/starexec/sandbox/tmp/tmp.coFKzOSfdo/Vampire---4.8_15430',one_from_mars) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 22:18:53 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.coFKzOSfdo/Vampire---4.8_15430
% 0.14/0.37 % (15542)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.40 % (15546)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)
% 0.22/0.41 % (15546)Refutation not found, incomplete strategy% (15546)------------------------------
% 0.22/0.41 % (15546)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.41 % (15546)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.41 % (15546)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.41
% 0.22/0.41 % (15546)Memory used [KB]: 9978
% 0.22/0.41 % (15546)Time elapsed: 0.004 s
% 0.22/0.41 % (15546)------------------------------
% 0.22/0.41 % (15546)------------------------------
% 0.22/0.43 % (15544)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)
% 0.22/0.43 % (15543)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)
% 0.22/0.43 % (15545)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)
% 0.22/0.43 % (15548)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.22/0.43 % (15549)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)
% 0.22/0.43 % (15547)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)
% 0.22/0.43 % (15548)First to succeed.
% 0.22/0.43 % (15549)Refutation not found, incomplete strategy% (15549)------------------------------
% 0.22/0.43 % (15549)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (15549)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (15549)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43 % (15549)Memory used [KB]: 1023
% 0.22/0.43 % (15549)Time elapsed: 0.005 s
% 0.22/0.43 % (15549)------------------------------
% 0.22/0.43 % (15549)------------------------------
% 0.22/0.43 % (15547)Also succeeded, but the first one will report.
% 0.22/0.43 % (15548)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (15548)------------------------------
% 0.22/0.43 % (15548)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (15548)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (15548)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (15548)Memory used [KB]: 5500
% 0.22/0.43 % (15548)Time elapsed: 0.006 s
% 0.22/0.43 % (15548)------------------------------
% 0.22/0.43 % (15548)------------------------------
% 0.22/0.43 % (15542)Success in time 0.065 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------