TSTP Solution File: SET839-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET839-2 : 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 : n002.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 18:25:50 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 7 unt; 3 typ; 0 def)
% Number of atoms : 44 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 39 ( 16 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 46 ( 46 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_4,type,
sQ1_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_5,type,
sQ2_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_6,type,
sQ3_eqProxy: ( $real * $real ) > $o ).
fof(f90,plain,
$false,
inference(resolution,[],[f79,f9]) ).
fof(f9,plain,
! [X2,X3,X4] : c_in(X2,c_insert(X2,X3,X4),X4),
inference(literal_reordering,[],[f3]) ).
fof(f3,axiom,
! [X2,X3,X4] : c_in(X2,c_insert(X2,X3,X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f79,plain,
! [X8,X9] : ~ c_in(c_Main_OsubsetI__1(v_S,c_insert(X9,c_emptyset,tc_set(t_a)),tc_set(t_a)),c_insert(X8,c_emptyset,tc_set(t_a)),tc_set(t_a)),
inference(subsumption_resolution,[],[f68,f8]) ).
fof(f8,plain,
! [X0] : ~ c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))),
inference(literal_reordering,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f68,plain,
! [X8,X9] :
( c_lessequals(v_S,c_insert(X8,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(v_S,c_insert(X9,c_emptyset,tc_set(t_a)),tc_set(t_a)),c_insert(X8,c_emptyset,tc_set(t_a)),tc_set(t_a)) ),
inference(superposition,[],[f7,f53]) ).
fof(f53,plain,
! [X0,X1] : c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a)) = c_Main_OsubsetI__1(v_S,c_insert(X1,c_emptyset,tc_set(t_a)),tc_set(t_a)),
inference(resolution,[],[f47,f8]) ).
fof(f47,plain,
! [X0,X1] :
( c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)) = c_Main_OsubsetI__1(v_S,c_insert(X1,c_emptyset,tc_set(t_a)),tc_set(t_a)) ),
inference(resolution,[],[f45,f8]) ).
fof(f45,plain,
! [X0,X1] :
( c_lessequals(v_S,X1,tc_set(tc_set(t_a)))
| c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)) = c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f44,f43]) ).
fof(f43,plain,
! [X0,X1] :
( c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)),tc_set(t_a))
| c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| c_lessequals(v_S,X1,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f39,f10]) ).
fof(f10,plain,
! [X3,X4,X5] :
( c_in(c_Main_OsubsetI__1(X5,X3,X4),X5,X4)
| c_lessequals(X5,X3,tc_set(X4)) ),
inference(literal_reordering,[],[f4]) ).
fof(f4,axiom,
! [X3,X4,X5] :
( c_lessequals(X5,X3,tc_set(X4))
| c_in(c_Main_OsubsetI__1(X5,X3,X4),X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f39,plain,
! [X2,X3] :
( ~ c_in(X3,v_S,tc_set(t_a))
| c_lessequals(X3,c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)),tc_set(t_a))
| c_lessequals(v_S,X2,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f10,f11]) ).
fof(f11,plain,
! [X0,X1] :
( ~ c_in(X1,v_S,tc_set(t_a))
| c_lessequals(X0,X1,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(literal_reordering,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( c_lessequals(X0,X1,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f44,plain,
! [X0,X1] :
( c_lessequals(v_S,X1,tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)),c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),tc_set(t_a))
| c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)) = c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))
| c_lessequals(v_S,X0,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f43,f12]) ).
fof(f12,plain,
! [X3,X4,X5] :
( ~ c_lessequals(X3,X5,tc_set(X4))
| ~ c_lessequals(X5,X3,tc_set(X4))
| X3 = X5 ),
inference(literal_reordering,[],[f6]) ).
fof(f6,axiom,
! [X3,X4,X5] :
( ~ c_lessequals(X3,X5,tc_set(X4))
| ~ c_lessequals(X5,X3,tc_set(X4))
| X3 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f7,plain,
! [X3,X4,X5] :
( ~ c_in(c_Main_OsubsetI__1(X5,X3,X4),X3,X4)
| c_lessequals(X5,X3,tc_set(X4)) ),
inference(literal_reordering,[],[f5]) ).
fof(f5,axiom,
! [X3,X4,X5] :
( c_lessequals(X5,X3,tc_set(X4))
| ~ c_in(c_Main_OsubsetI__1(X5,X3,X4),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET839-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % 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 : n002.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 14:35:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (23179)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (23196)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 % (23187)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.50 TRYING [3]
% 0.19/0.50 % (23187)First to succeed.
% 0.19/0.50 % (23178)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.50 TRYING [4]
% 0.19/0.51 % (23186)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 TRYING [5]
% 0.19/0.51 % (23174)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (23174)Refutation not found, incomplete strategy% (23174)------------------------------
% 0.19/0.51 % (23174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (23174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (23174)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (23174)Memory used [KB]: 5373
% 0.19/0.51 % (23174)Time elapsed: 0.104 s
% 0.19/0.51 % (23174)------------------------------
% 0.19/0.51 % (23174)------------------------------
% 0.19/0.51 % (23187)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 % (23187)------------------------------
% 0.19/0.51 % (23187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (23187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (23187)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (23187)Memory used [KB]: 5756
% 0.19/0.51 % (23187)Time elapsed: 0.008 s
% 0.19/0.51 % (23187)Instructions burned: 6 (million)
% 0.19/0.51 % (23187)------------------------------
% 0.19/0.51 % (23187)------------------------------
% 0.19/0.51 % (23170)Success in time 0.162 s
%------------------------------------------------------------------------------