TSTP Solution File: SET072-6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET072-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n023.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 31 18:18:56 EDT 2022
% Result : Unsatisfiable 1.84s 0.60s
% Output : Refutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 51 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 21 ~; 22 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f155,plain,
$false,
inference(avatar_sat_refutation,[],[f117,f119,f154]) ).
fof(f154,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f153]) ).
fof(f153,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f152,f103]) ).
fof(f103,plain,
member(x,universal_class),
inference(resolution,[],[f93,f14]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f93,axiom,
member(ordered_pair(x,y),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_right_cancellation_2) ).
fof(f152,plain,
( ~ member(x,universal_class)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f151,f94]) ).
fof(f94,axiom,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_right_cancellation_3) ).
fof(f151,plain,
( x = y
| ~ member(x,universal_class)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f143,f127]) ).
fof(f127,plain,
( x != z
| ~ spl0_1 ),
inference(superposition,[],[f94,f122]) ).
fof(f122,plain,
( z = y
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f120,f94]) ).
fof(f120,plain,
( x = y
| z = y
| ~ spl0_1 ),
inference(resolution,[],[f112,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X1 = X2
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f112,plain,
( member(y,unordered_pair(x,z))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl0_1
<=> member(y,unordered_pair(x,z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f143,plain,
( x = z
| x = y
| ~ member(x,universal_class) ),
inference(resolution,[],[f99,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f99,plain,
! [X0] :
( ~ member(X0,unordered_pair(x,z))
| y = X0
| z = X0 ),
inference(superposition,[],[f8,f92]) ).
fof(f92,axiom,
unordered_pair(x,z) = unordered_pair(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_right_cancellation_1) ).
fof(f119,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f118]) ).
fof(f118,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f116,f104]) ).
fof(f104,plain,
member(y,universal_class),
inference(resolution,[],[f93,f15]) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f116,plain,
( ~ member(y,universal_class)
| spl0_2 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_2
<=> member(y,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f117,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f100,f114,f110]) ).
fof(f100,plain,
( ~ member(y,universal_class)
| member(y,unordered_pair(x,z)) ),
inference(superposition,[],[f9,f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET072-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n023.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 : Tue Aug 30 13:29:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.46/0.58 % (13941)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.46/0.58 % (13944)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.46/0.58 % (13944)First to succeed.
% 1.84/0.60 % (13944)Refutation found. Thanks to Tanya!
% 1.84/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.84/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.84/0.60 % (13944)------------------------------
% 1.84/0.60 % (13944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.60 % (13944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.60 % (13944)Termination reason: Refutation
% 1.84/0.60
% 1.84/0.60 % (13944)Memory used [KB]: 6012
% 1.84/0.60 % (13944)Time elapsed: 0.146 s
% 1.84/0.60 % (13944)Instructions burned: 4 (million)
% 1.84/0.60 % (13944)------------------------------
% 1.84/0.60 % (13944)------------------------------
% 1.84/0.60 % (13934)Success in time 0.24 s
%------------------------------------------------------------------------------