TSTP Solution File: SET841-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET841-1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n003.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 18:22:29 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 39 ( 8 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 37 ( 19 ~; 17 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1392,plain,
$false,
inference(avatar_sat_refutation,[],[f1381,f1389]) ).
fof(f1389,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1388]) ).
fof(f1388,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f1387,f310]) ).
fof(f310,axiom,
! [X2,X13] : c_lessequals(X13,X13,tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f1387,plain,
( ~ c_lessequals(v_m,v_m,tc_set(tc_set(t_a)))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f1385,f1360]) ).
fof(f1360,axiom,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1385,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))
| ~ spl0_1 ),
inference(backward_demodulation,[],[f1363,f1370]) ).
fof(f1370,plain,
( v_m = v_x
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f1368,plain,
( spl0_1
<=> v_m = v_x ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1363,axiom,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1381,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f1380]) ).
fof(f1380,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f1379,f1362]) ).
fof(f1362,axiom,
c_lessequals(v_x,v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1379,plain,
( ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
| spl0_1 ),
inference(subsumption_resolution,[],[f1378,f1369]) ).
fof(f1369,plain,
( v_m != v_x
| spl0_1 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f1378,plain,
( v_m = v_x
| ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f1377,f1361]) ).
fof(f1361,axiom,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1377,plain,
( ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_m = v_x
| ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f1376,f1359]) ).
fof(f1359,axiom,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1376,plain,
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
| v_m = v_x ),
inference(resolution,[],[f1363,f1358]) ).
fof(f1358,axiom,
! [X40,X2,X18,X12] :
( c_lessequals(c_Zorn_Osucc(X40,X18,X2),X12,tc_set(tc_set(X2)))
| ~ c_in(X12,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X18,X12,tc_set(tc_set(X2)))
| ~ c_in(X18,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| X12 = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__subsetD_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET841-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n003.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 : Tue Aug 30 14:23:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (7916)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (7916)First to succeed.
% 0.20/0.53 % (7916)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (7916)------------------------------
% 0.20/0.53 % (7916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (7916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (7916)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (7916)Memory used [KB]: 6908
% 0.20/0.53 % (7916)Time elapsed: 0.082 s
% 0.20/0.53 % (7916)Instructions burned: 6 (million)
% 0.20/0.53 % (7916)------------------------------
% 0.20/0.53 % (7916)------------------------------
% 0.20/0.53 % (7908)Success in time 0.174 s
%------------------------------------------------------------------------------