TSTP Solution File: SET844-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET844-2 : 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_sat --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 18:25:51 EDT 2022
% Result : Unsatisfiable 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 16 unt; 0 def)
% Number of atoms : 64 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 60 ( 31 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,plain,
$false,
inference(subsumption_resolution,[],[f45,f13]) ).
fof(f13,plain,
~ c_lessequals(sF3,v_m,sF4),
inference(definition_folding,[],[f6,f12,f10,f11,f10,f9]) ).
fof(f9,plain,
c_Zorn_OTFin(v_S,t_a) = sF1,
introduced(function_definition,[]) ).
fof(f11,plain,
sF3 = c_Union(sF1,sF2),
introduced(function_definition,[]) ).
fof(f10,plain,
tc_set(t_a) = sF2,
introduced(function_definition,[]) ).
fof(f12,plain,
tc_set(sF2) = sF4,
introduced(function_definition,[]) ).
fof(f6,axiom,
~ c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f45,plain,
c_lessequals(sF3,v_m,sF4),
inference(resolution,[],[f42,f28]) ).
fof(f28,plain,
c_in(sF3,sF1,sF4),
inference(subsumption_resolution,[],[f27,f1]) ).
fof(f1,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f27,plain,
( c_in(sF3,sF1,sF4)
| ~ c_lessequals(sF1,sF1,tc_set(sF4)) ),
inference(superposition,[],[f24,f11]) ).
fof(f24,plain,
! [X0] :
( c_in(c_Union(X0,sF2),sF1,sF4)
| ~ c_lessequals(X0,sF1,tc_set(sF4)) ),
inference(forward_demodulation,[],[f23,f12]) ).
fof(f23,plain,
! [X0] :
( c_in(c_Union(X0,sF2),sF1,tc_set(sF2))
| ~ c_lessequals(X0,sF1,tc_set(sF4)) ),
inference(forward_demodulation,[],[f22,f10]) ).
fof(f22,plain,
! [X0] :
( ~ c_lessequals(X0,sF1,tc_set(sF4))
| c_in(c_Union(X0,tc_set(t_a)),sF1,tc_set(tc_set(t_a))) ),
inference(forward_demodulation,[],[f21,f12]) ).
fof(f21,plain,
! [X0] :
( ~ c_lessequals(X0,sF1,tc_set(tc_set(sF2)))
| c_in(c_Union(X0,tc_set(t_a)),sF1,tc_set(tc_set(t_a))) ),
inference(forward_demodulation,[],[f18,f10]) ).
fof(f18,plain,
! [X0] :
( ~ c_lessequals(X0,sF1,tc_set(tc_set(tc_set(t_a))))
| c_in(c_Union(X0,tc_set(t_a)),sF1,tc_set(tc_set(t_a))) ),
inference(superposition,[],[f2,f9]) ).
fof(f2,axiom,
! [X2,X3,X1] :
( c_in(c_Union(X2,tc_set(X1)),c_Zorn_OTFin(X3,X1),tc_set(tc_set(X1)))
| ~ c_lessequals(X2,c_Zorn_OTFin(X3,X1),tc_set(tc_set(tc_set(X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
fof(f42,plain,
! [X0] :
( ~ c_in(X0,sF1,sF4)
| c_lessequals(X0,v_m,sF4) ),
inference(forward_demodulation,[],[f41,f12]) ).
fof(f41,plain,
! [X0] :
( ~ c_in(X0,sF1,sF4)
| c_lessequals(X0,v_m,tc_set(sF2)) ),
inference(forward_demodulation,[],[f40,f9]) ).
fof(f40,plain,
! [X0] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),sF4)
| c_lessequals(X0,v_m,tc_set(sF2)) ),
inference(forward_demodulation,[],[f39,f10]) ).
fof(f39,plain,
! [X0] :
( c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),sF4) ),
inference(subsumption_resolution,[],[f38,f14]) ).
fof(f14,plain,
c_in(v_m,sF1,sF4),
inference(definition_folding,[],[f4,f12,f10,f9]) ).
fof(f4,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(f38,plain,
! [X0] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),sF4)
| ~ c_in(v_m,sF1,sF4)
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(forward_demodulation,[],[f37,f9]) ).
fof(f37,plain,
! [X0] :
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),sF4)
| c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),sF4) ),
inference(forward_demodulation,[],[f36,f12]) ).
fof(f36,plain,
! [X0] :
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(sF2))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),sF4) ),
inference(forward_demodulation,[],[f35,f10]) ).
fof(f35,plain,
! [X0] :
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),sF4) ),
inference(forward_demodulation,[],[f34,f12]) ).
fof(f34,plain,
! [X0] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(sF2))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(forward_demodulation,[],[f33,f10]) ).
fof(f33,plain,
! [X0] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(trivial_inequality_removal,[],[f32]) ).
fof(f32,plain,
! [X0] :
( v_m != v_m
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(superposition,[],[f3,f15]) ).
fof(f15,plain,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
inference(forward_demodulation,[],[f7,f8]) ).
fof(f8,plain,
v_m = sF0,
inference(definition_folding,[],[f5,f7]) ).
fof(f5,axiom,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f7,plain,
c_Zorn_Osucc(v_S,v_m,t_a) = sF0,
introduced(function_definition,[]) ).
fof(f3,axiom,
! [X3,X1,X4,X5] :
( c_Zorn_Osucc(X3,X4,X1) != X4
| c_lessequals(X5,X4,tc_set(tc_set(X1)))
| ~ c_in(X4,c_Zorn_OTFin(X3,X1),tc_set(tc_set(X1)))
| ~ c_in(X5,c_Zorn_OTFin(X3,X1),tc_set(tc_set(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Oeq__succ__upper_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET844-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.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 14:23:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 % (8519)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.46 % (8519)First to succeed.
% 0.19/0.46 % (8519)Refutation found. Thanks to Tanya!
% 0.19/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46 % (8519)------------------------------
% 0.19/0.46 % (8519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (8519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (8519)Termination reason: Refutation
% 0.19/0.46
% 0.19/0.46 % (8519)Memory used [KB]: 5373
% 0.19/0.46 % (8519)Time elapsed: 0.083 s
% 0.19/0.46 % (8519)Instructions burned: 2 (million)
% 0.19/0.46 % (8519)------------------------------
% 0.19/0.46 % (8519)------------------------------
% 0.19/0.46 % (8505)Success in time 0.118 s
%------------------------------------------------------------------------------