TSTP Solution File: SET830-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET830-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Tue Apr 30 15:13:23 EDT 2024
% Result : Unsatisfiable 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 31 ( 9 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 24 ~; 24 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f272,plain,
$false,
inference(avatar_sat_refutation,[],[f216,f243,f271]) ).
fof(f271,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f215,f7]) ).
fof(f7,axiom,
c_in(v_x,v_Y,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f215,plain,
( ~ c_in(v_x,v_Y,t_a)
| spl0_3 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl0_3
<=> c_in(v_x,v_Y,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f243,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f236]) ).
fof(f236,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f36,f8]) ).
fof(f8,axiom,
c_in(v_x,v_Z,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f36,plain,
( ~ c_in(v_x,v_Z,t_a)
| spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl0_2
<=> c_in(v_x,v_Z,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f216,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f206,f34,f213]) ).
fof(f206,plain,
( ~ c_in(v_x,v_Z,t_a)
| ~ c_in(v_x,v_Y,t_a) ),
inference(resolution,[],[f185,f3]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_inter(X1,X2,X3),X3)
| ~ c_in(X0,X1,X3)
| ~ c_in(X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntI_0) ).
fof(f185,plain,
~ c_in(v_x,c_inter(v_Z,v_Y,t_a),t_a),
inference(resolution,[],[f71,f69]) ).
fof(f69,plain,
! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)),
inference(duplicate_literal_removal,[],[f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2))
| c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)) ),
inference(resolution,[],[f12,f6]) ).
fof(f6,axiom,
! [X2,X3,X1] :
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f12,plain,
! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X1,X2)
| c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2)) ),
inference(resolution,[],[f5,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_0) ).
fof(f5,axiom,
! [X2,X3,X1] :
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f71,plain,
! [X0] :
( ~ c_lessequals(c_inter(v_Z,X0,t_a),v_Y,tc_set(t_a))
| ~ c_in(v_x,c_inter(v_Z,X0,t_a),t_a) ),
inference(resolution,[],[f59,f19]) ).
fof(f19,plain,
! [X0] :
( ~ c_lessequals(X0,v_Z,tc_set(t_a))
| ~ c_in(v_x,X0,t_a)
| ~ c_lessequals(X0,v_Y,tc_set(t_a)) ),
inference(resolution,[],[f15,f10]) ).
fof(f10,axiom,
! [X4] :
( c_lessequals(X4,v_X,tc_set(t_a))
| ~ c_lessequals(X4,v_Z,tc_set(t_a))
| ~ c_lessequals(X4,v_Y,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f15,plain,
! [X0] :
( ~ c_lessequals(X0,v_X,tc_set(t_a))
| ~ c_in(v_x,X0,t_a) ),
inference(resolution,[],[f4,f9]) ).
fof(f9,axiom,
~ c_in(v_x,v_X,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X2,X3)
| ~ c_in(X0,X1,X3)
| ~ c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f59,plain,
! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)),
inference(duplicate_literal_removal,[],[f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2))
| c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)) ),
inference(resolution,[],[f11,f6]) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X0,X2)
| c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2)) ),
inference(resolution,[],[f5,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET830-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 00:48:18 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (8721)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (8723)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (8726)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (8727)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (8725)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (8722)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (8724)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38 % (8728)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 Detected minimum model sizes of [1,1,1,1]
% 0.15/0.38 Detected maximum model sizes of [max,1,max,max]
% 0.15/0.38 Detected minimum model sizes of [1,1,1,1]
% 0.15/0.38 Detected maximum model sizes of [max,1,max,max]
% 0.15/0.38 TRYING [1,1,1,1]
% 0.15/0.38 TRYING [1,1,1,1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2,1,2,1]
% 0.15/0.38 TRYING [2,1,2,1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [2,1,2,2]
% 0.15/0.38 TRYING [2,1,2,2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3,1,3,1]
% 0.15/0.38 TRYING [3,1,3,1]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [3,1,3,2]
% 0.15/0.38 TRYING [3,1,3,2]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [3,1,3,3]
% 0.15/0.38 TRYING [3,1,3,3]
% 0.15/0.38 % (8724)First to succeed.
% 0.15/0.38 % (8727)Also succeeded, but the first one will report.
% 0.15/0.38 TRYING [4,1,4,3]
% 0.15/0.38 TRYING [4,1,4,3]
% 0.15/0.38 % (8724)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (8724)------------------------------
% 0.15/0.38 % (8724)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (8724)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (8724)Memory used [KB]: 872
% 0.15/0.38 % (8724)Time elapsed: 0.008 s
% 0.15/0.38 % (8724)Instructions burned: 11 (million)
% 0.15/0.38 % (8724)------------------------------
% 0.15/0.38 % (8724)------------------------------
% 0.15/0.38 % (8721)Success in time 0.024 s
%------------------------------------------------------------------------------