TSTP Solution File: LAT269-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT269-2 : 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 : n010.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 17:33:04 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 13 unt; 0 def)
% Number of atoms : 34 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-5 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,plain,
$false,
inference(subsumption_resolution,[],[f19,f10]) ).
fof(f10,plain,
~ c_in(sF1,c_Tarski_OCompleteLattice,sF2),
inference(definition_folding,[],[f1,f9,f8,f7]) ).
fof(f7,plain,
c_Tarski_Oinduced(v_intY1,v_r,t_a) = sF0,
introduced(function_definition,[]) ).
fof(f8,plain,
c_Tarski_Opotype_Opotype__ext(v_intY1,sF0,c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit) = sF1,
introduced(function_definition,[]) ).
fof(f9,plain,
tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit) = sF2,
introduced(function_definition,[]) ).
fof(f1,axiom,
~ c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f19,plain,
c_in(sF1,c_Tarski_OCompleteLattice,sF2),
inference(forward_demodulation,[],[f18,f8]) ).
fof(f18,plain,
c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,sF0,c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,sF2),
inference(forward_demodulation,[],[f17,f7]) ).
fof(f17,plain,
c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,sF2),
inference(subsumption_resolution,[],[f16,f13]) ).
fof(f13,plain,
v_intY1 != c_emptyset,
inference(subsumption_resolution,[],[f12,f5]) ).
fof(f5,axiom,
c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Olub_AY_Acl_A_58_AA_A_61_61_ATrue_0) ).
fof(f12,plain,
( ~ c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a)
| v_intY1 != c_emptyset ),
inference(superposition,[],[f6,f4]) ).
fof(f4,axiom,
v_intY1 = c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OintY1_A_61_61_Ainterval_Ar_A_Ilub_AY_Acl_J_A_ITop_Acl_J_0) ).
fof(f6,axiom,
! [X2] :
( c_emptyset != c_Tarski_Ointerval(v_r,X2,c_Tarski_OTop(v_cl,t_a),t_a)
| ~ c_in(X2,v_A,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ox1_A_58_AA_A_61_61_62_Ainterval_Ar_Ax1_A_ITop_Acl_J_A_61_A_123_125_A_61_61_AFalse_0) ).
fof(f16,plain,
( v_intY1 = c_emptyset
| c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,sF2) ),
inference(subsumption_resolution,[],[f15,f5]) ).
fof(f15,plain,
( c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,sF2)
| ~ c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a)
| v_intY1 = c_emptyset ),
inference(subsumption_resolution,[],[f14,f2]) ).
fof(f2,axiom,
c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OTop_Acl_A_58_AA_A_61_61_ATrue_0) ).
fof(f14,plain,
( c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,sF2)
| ~ c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a)
| ~ c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a)
| v_intY1 = c_emptyset ),
inference(superposition,[],[f11,f4]) ).
fof(f11,plain,
! [X0,X1] :
( c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,X1,X0,t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,X1,X0,t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,sF2)
| c_Tarski_Ointerval(v_r,X1,X0,t_a) = c_emptyset
| ~ c_in(X1,v_A,t_a)
| ~ c_in(X0,v_A,t_a) ),
inference(forward_demodulation,[],[f3,f9]) ).
fof(f3,axiom,
! [X0,X1] :
( c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,X1,X0,t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,X1,X0,t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(X1,v_A,t_a)
| ~ c_in(X0,v_A,t_a)
| c_Tarski_Ointerval(v_r,X1,X0,t_a) = c_emptyset ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_Aa2_A_58_AA_59_Ab2_A_58_AA_59_Ainterval_Ar_Aa2_Ab2_A_126_61_A_123_125_A_124_93_A_61_61_62_A_I_124_Apset_A_61_Ainterval_Ar_Aa2_Ab2_M_Aorder_A_61_Ainduced_A_Iinterval_Ar_Aa2_Ab2_J_Ar_A_124_J_A_58_ACompleteLattice_A_61_61_ATrue_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT269-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % 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 : n010.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 00:50:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % (2849)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.47 TRYING [1]
% 0.19/0.47 TRYING [2]
% 0.19/0.47 % (2841)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)
% 0.19/0.48 % (2841)Refutation not found, incomplete strategy% (2841)------------------------------
% 0.19/0.48 % (2841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 TRYING [2]
% 0.19/0.48 % (2849)Instruction limit reached!
% 0.19/0.48 % (2849)------------------------------
% 0.19/0.48 % (2849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (2849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (2849)Termination reason: Unknown
% 0.19/0.48 % (2849)Termination phase: Finite model building constraint generation
% 0.19/0.48
% 0.19/0.48 % (2849)Memory used [KB]: 5884
% 0.19/0.48 % (2849)Time elapsed: 0.078 s
% 0.19/0.48 % (2849)Instructions burned: 6 (million)
% 0.19/0.48 % (2849)------------------------------
% 0.19/0.48 % (2849)------------------------------
% 0.19/0.48 % (2841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (2841)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48
% 0.19/0.48 % (2841)Memory used [KB]: 5756
% 0.19/0.48 % (2841)Time elapsed: 0.076 s
% 0.19/0.48 % (2841)Instructions burned: 2 (million)
% 0.19/0.48 % (2841)------------------------------
% 0.19/0.48 % (2841)------------------------------
% 0.19/0.49 % (2834)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.50 % (2834)First to succeed.
% 0.19/0.50 % (2834)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 % (2834)------------------------------
% 0.19/0.50 % (2834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (2834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (2834)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (2834)Memory used [KB]: 5756
% 0.19/0.50 % (2834)Time elapsed: 0.088 s
% 0.19/0.50 % (2834)Instructions burned: 2 (million)
% 0.19/0.50 % (2834)------------------------------
% 0.19/0.50 % (2834)------------------------------
% 0.19/0.50 % (2833)Success in time 0.154 s
%------------------------------------------------------------------------------