TSTP Solution File: SET822-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET822-2 : 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 : n024.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 18:22:23 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 19 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,plain,
$false,
inference(resolution,[],[f13,f4]) ).
fof(f4,axiom,
v_P(v_f(v_b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f13,plain,
! [X0] : ~ v_P(v_f(X0)),
inference(superposition,[],[f7,f12]) ).
fof(f12,plain,
! [X0] : v_x(X0,c_insert(v_f(X0),c_emptyset,tc_IntDef_Oint)) = v_f(X0),
inference(resolution,[],[f10,f2]) ).
fof(f2,axiom,
! [X2,X3,X1] : c_in(X2,c_insert(X2,X3,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f10,plain,
! [X0,X1] :
( ~ c_in(v_f(X0),c_insert(X1,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint)
| v_x(X0,c_insert(X1,c_emptyset,tc_IntDef_Oint)) = X1 ),
inference(resolution,[],[f9,f1]) ).
fof(f1,axiom,
! [X0,X1] : ~ c_in(X0,c_emptyset,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
fof(f9,plain,
! [X2,X3,X1] :
( c_in(v_x(X1,c_insert(X2,X3,tc_IntDef_Oint)),X3,tc_IntDef_Oint)
| v_x(X1,c_insert(X2,X3,tc_IntDef_Oint)) = X2
| ~ c_in(v_f(X1),c_insert(X2,X3,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(resolution,[],[f5,f3]) ).
fof(f3,axiom,
! [X0,X1,X4,X5] :
( ~ c_in(X0,c_insert(X4,X5,X1),X1)
| c_in(X0,X5,X1)
| X0 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f5,axiom,
! [X6,X7] :
( c_in(v_x(X6,X7),X7,tc_IntDef_Oint)
| ~ c_in(v_f(X6),X7,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f7,plain,
! [X0,X1] : ~ v_P(v_x(X0,c_insert(v_f(X0),X1,tc_IntDef_Oint))),
inference(resolution,[],[f6,f2]) ).
fof(f6,axiom,
! [X6,X7] :
( ~ c_in(v_f(X6),X7,tc_IntDef_Oint)
| ~ v_P(v_x(X6,X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET822-2 : 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
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:23:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (3672)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49 % (3664)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.49 % (3664)Refutation not found, incomplete strategy% (3664)------------------------------
% 0.19/0.49 % (3664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (3672)First to succeed.
% 0.19/0.49 % (3664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (3664)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49
% 0.19/0.49 % (3664)Memory used [KB]: 5756
% 0.19/0.49 % (3664)Time elapsed: 0.072 s
% 0.19/0.49 % (3664)Instructions burned: 1 (million)
% 0.19/0.49 % (3664)------------------------------
% 0.19/0.49 % (3664)------------------------------
% 0.19/0.50 % (3672)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 % (3672)------------------------------
% 0.19/0.50 % (3672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (3672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (3672)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (3672)Memory used [KB]: 5756
% 0.19/0.50 % (3672)Time elapsed: 0.072 s
% 0.19/0.50 % (3672)Instructions burned: 1 (million)
% 0.19/0.50 % (3672)------------------------------
% 0.19/0.50 % (3672)------------------------------
% 0.19/0.50 % (3642)Success in time 0.146 s
%------------------------------------------------------------------------------