TSTP Solution File: SET864-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET864-2 : 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 : 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 18:22:37 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 57 ( 13 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 68 ( 37 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f34,plain,
$false,
inference(subsumption_resolution,[],[f33,f15]) ).
fof(f15,plain,
c_in(v_c,sF2,sF3),
inference(definition_folding,[],[f2,f14,f7,f13]) ).
fof(f13,plain,
c_Zorn_Omaxchain(v_S,t_a) = sF2,
introduced(function_definition,[]) ).
fof(f7,plain,
tc_set(t_a) = sF0,
introduced(function_definition,[]) ).
fof(f14,plain,
sF3 = tc_set(sF0),
introduced(function_definition,[]) ).
fof(f2,axiom,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f33,plain,
~ c_in(v_c,sF2,sF3),
inference(subsumption_resolution,[],[f32,f12]) ).
fof(f12,plain,
c_in(sF1,v_S,sF0),
inference(definition_folding,[],[f3,f7,f11]) ).
fof(f11,plain,
c_Union(v_c,t_a) = sF1,
introduced(function_definition,[]) ).
fof(f3,axiom,
c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f32,plain,
( ~ c_in(sF1,v_S,sF0)
| ~ c_in(v_c,sF2,sF3) ),
inference(superposition,[],[f27,f11]) ).
fof(f27,plain,
! [X0] :
( ~ c_in(c_Union(X0,t_a),v_S,sF0)
| ~ c_in(X0,sF2,sF3) ),
inference(subsumption_resolution,[],[f26,f10]) ).
fof(f10,plain,
! [X4] :
( c_in(v_x(X4),v_S,sF0)
| ~ c_in(X4,v_S,sF0) ),
inference(definition_folding,[],[f4,f7,f7]) ).
fof(f4,axiom,
! [X4] :
( c_in(v_x(X4),v_S,tc_set(t_a))
| ~ c_in(X4,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f26,plain,
! [X0] :
( ~ c_in(v_x(c_Union(X0,t_a)),v_S,sF0)
| ~ c_in(X0,sF2,sF3)
| ~ c_in(c_Union(X0,t_a),v_S,sF0) ),
inference(subsumption_resolution,[],[f24,f9]) ).
fof(f9,plain,
! [X4] :
( v_x(X4) != X4
| ~ c_in(X4,v_S,sF0) ),
inference(definition_folding,[],[f6,f7]) ).
fof(f6,axiom,
! [X4] :
( v_x(X4) != X4
| ~ c_in(X4,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f24,plain,
! [X0] :
( ~ c_in(v_x(c_Union(X0,t_a)),v_S,sF0)
| ~ c_in(X0,sF2,sF3)
| c_Union(X0,t_a) = v_x(c_Union(X0,t_a))
| ~ c_in(c_Union(X0,t_a),v_S,sF0) ),
inference(resolution,[],[f22,f8]) ).
fof(f8,plain,
! [X4] :
( c_lessequals(X4,v_x(X4),sF0)
| ~ c_in(X4,v_S,sF0) ),
inference(definition_folding,[],[f5,f7,f7]) ).
fof(f5,axiom,
! [X4] :
( c_lessequals(X4,v_x(X4),tc_set(t_a))
| ~ c_in(X4,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f22,plain,
! [X0,X1] :
( ~ c_lessequals(c_Union(X0,t_a),X1,sF0)
| c_Union(X0,t_a) = X1
| ~ c_in(X0,sF2,sF3)
| ~ c_in(X1,v_S,sF0) ),
inference(forward_demodulation,[],[f21,f14]) ).
fof(f21,plain,
! [X0,X1] :
( ~ c_in(X1,v_S,sF0)
| c_Union(X0,t_a) = X1
| ~ c_lessequals(c_Union(X0,t_a),X1,sF0)
| ~ c_in(X0,sF2,tc_set(sF0)) ),
inference(forward_demodulation,[],[f20,f7]) ).
fof(f20,plain,
! [X0,X1] :
( ~ c_lessequals(c_Union(X0,t_a),X1,sF0)
| ~ c_in(X1,v_S,tc_set(t_a))
| c_Union(X0,t_a) = X1
| ~ c_in(X0,sF2,tc_set(sF0)) ),
inference(forward_demodulation,[],[f19,f7]) ).
fof(f19,plain,
! [X0,X1] :
( c_Union(X0,t_a) = X1
| ~ c_lessequals(c_Union(X0,t_a),X1,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a))
| ~ c_in(X0,sF2,tc_set(sF0)) ),
inference(forward_demodulation,[],[f16,f7]) ).
fof(f16,plain,
! [X0,X1] :
( ~ c_in(X0,sF2,tc_set(tc_set(t_a)))
| c_Union(X0,t_a) = X1
| ~ c_in(X1,v_S,tc_set(t_a))
| ~ c_lessequals(c_Union(X0,t_a),X1,tc_set(t_a)) ),
inference(superposition,[],[f1,f13]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X3,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,X1,tc_set(X2))
| ~ c_lessequals(c_Union(X3,X2),X0,tc_set(X2))
| c_Union(X3,X2) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET864-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:48:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (28385)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.49 % (28385)First to succeed.
% 0.19/0.49 % (28410)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.50 % (28385)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (28385)------------------------------
% 0.19/0.50 % (28385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (28385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (28385)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (28385)Memory used [KB]: 5756
% 0.19/0.50 % (28385)Time elapsed: 0.086 s
% 0.19/0.50 % (28385)Instructions burned: 2 (million)
% 0.19/0.50 % (28385)------------------------------
% 0.19/0.50 % (28385)------------------------------
% 0.19/0.50 % (28382)Success in time 0.146 s
%------------------------------------------------------------------------------