TSTP Solution File: SET845-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET845-2 : 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 : n007.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 18:25:52 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 33 ( 20 unt; 0 def)
% Number of atoms : 48 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 19 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 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 : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f56,plain,
$false,
inference(subsumption_resolution,[],[f55,f47]) ).
fof(f47,plain,
c_in(sF4,sF0,sF2),
inference(subsumption_resolution,[],[f46,f11]) ).
fof(f11,plain,
c_in(v_m,sF0,sF2),
inference(definition_folding,[],[f5,f10,f9,f8]) ).
fof(f8,plain,
c_Zorn_OTFin(v_S,t_a) = sF0,
introduced(function_definition,[]) ).
fof(f9,plain,
tc_set(t_a) = sF1,
introduced(function_definition,[]) ).
fof(f10,plain,
tc_set(sF1) = sF2,
introduced(function_definition,[]) ).
fof(f5,axiom,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f46,plain,
( ~ c_in(v_m,sF0,sF2)
| c_in(sF4,sF0,sF2) ),
inference(superposition,[],[f39,f14]) ).
fof(f14,plain,
c_Zorn_Osucc(v_S,v_m,t_a) = sF4,
introduced(function_definition,[]) ).
fof(f39,plain,
! [X0] :
( c_in(c_Zorn_Osucc(v_S,X0,t_a),sF0,sF2)
| ~ c_in(X0,sF0,sF2) ),
inference(forward_demodulation,[],[f38,f10]) ).
fof(f38,plain,
! [X0] :
( ~ c_in(X0,sF0,tc_set(sF1))
| c_in(c_Zorn_Osucc(v_S,X0,t_a),sF0,sF2) ),
inference(forward_demodulation,[],[f37,f9]) ).
fof(f37,plain,
! [X0] :
( ~ c_in(X0,sF0,tc_set(tc_set(t_a)))
| c_in(c_Zorn_Osucc(v_S,X0,t_a),sF0,sF2) ),
inference(forward_demodulation,[],[f36,f10]) ).
fof(f36,plain,
! [X0] :
( c_in(c_Zorn_Osucc(v_S,X0,t_a),sF0,tc_set(sF1))
| ~ c_in(X0,sF0,tc_set(tc_set(t_a))) ),
inference(forward_demodulation,[],[f31,f9]) ).
fof(f31,plain,
! [X0] :
( c_in(c_Zorn_Osucc(v_S,X0,t_a),sF0,tc_set(tc_set(t_a)))
| ~ c_in(X0,sF0,tc_set(tc_set(t_a))) ),
inference(superposition,[],[f4,f8]) ).
fof(f4,axiom,
! [X2,X3,X4] :
( ~ c_in(X3,c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Osucc(X4,X3,X2),c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_0) ).
fof(f55,plain,
~ c_in(sF4,sF0,sF2),
inference(resolution,[],[f45,f26]) ).
fof(f26,plain,
! [X0] :
( c_lessequals(X0,v_m,sF2)
| ~ c_in(X0,sF0,sF2) ),
inference(superposition,[],[f24,f16]) ).
fof(f16,plain,
v_m = c_Union(sF0,sF1),
inference(backward_demodulation,[],[f12,f13]) ).
fof(f13,plain,
v_m = sF3,
inference(definition_folding,[],[f6,f12,f9,f8]) ).
fof(f6,axiom,
v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f12,plain,
c_Union(sF0,sF1) = sF3,
introduced(function_definition,[]) ).
fof(f24,plain,
! [X2,X3] :
( c_lessequals(X2,c_Union(X3,sF1),sF2)
| ~ c_in(X2,X3,sF2) ),
inference(superposition,[],[f1,f10]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,X1,tc_set(X2))
| c_lessequals(X0,c_Union(X1,X2),tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnion__upper_0) ).
fof(f45,plain,
~ c_lessequals(sF4,v_m,sF2),
inference(subsumption_resolution,[],[f44,f15]) ).
fof(f15,plain,
v_m != sF4,
inference(definition_folding,[],[f7,f14]) ).
fof(f7,axiom,
v_m != c_Zorn_Osucc(v_S,v_m,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f44,plain,
( ~ c_lessequals(sF4,v_m,sF2)
| v_m = sF4 ),
inference(resolution,[],[f30,f21]) ).
fof(f21,plain,
c_lessequals(v_m,sF4,sF2),
inference(forward_demodulation,[],[f20,f10]) ).
fof(f20,plain,
c_lessequals(v_m,sF4,tc_set(sF1)),
inference(forward_demodulation,[],[f17,f9]) ).
fof(f17,plain,
c_lessequals(v_m,sF4,tc_set(tc_set(t_a))),
inference(superposition,[],[f3,f14]) ).
fof(f3,axiom,
! [X2,X3,X4] : c_lessequals(X3,c_Zorn_Osucc(X4,X3,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).
fof(f30,plain,
! [X2,X3] :
( ~ c_lessequals(X2,X3,sF2)
| ~ c_lessequals(X3,X2,sF2)
| X2 = X3 ),
inference(superposition,[],[f2,f10]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET845-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % 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 : n007.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 14:09:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (16512)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.50 % (16497)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 TRYING [3]
% 0.19/0.50 TRYING [4]
% 0.19/0.51 TRYING [5]
% 0.19/0.51 % (16512)First to succeed.
% 0.19/0.51 % (16512)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (16512)------------------------------
% 0.19/0.51 % (16512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (16512)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (16512)Memory used [KB]: 895
% 0.19/0.51 % (16512)Time elapsed: 0.107 s
% 0.19/0.51 % (16512)Instructions burned: 3 (million)
% 0.19/0.51 % (16512)------------------------------
% 0.19/0.51 % (16512)------------------------------
% 0.19/0.51 % (16496)Success in time 0.163 s
%------------------------------------------------------------------------------