TSTP Solution File: SET834-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET834-2 : 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 : n015.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 : Sun May 5 09:19:07 EDT 2024
% Result : Unsatisfiable 0.20s 0.37s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 17 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f240,plain,
$false,
inference(subsumption_resolution,[],[f239,f7]) ).
fof(f7,axiom,
c_in(v_x,v_X,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f239,plain,
~ c_in(v_x,v_X,t_a),
inference(subsumption_resolution,[],[f231,f8]) ).
fof(f8,axiom,
~ c_in(v_x,v_Z,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f231,plain,
( c_in(v_x,v_Z,t_a)
| ~ c_in(v_x,v_X,t_a) ),
inference(resolution,[],[f214,f9]) ).
fof(f9,axiom,
~ c_in(v_x,v_Y,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f214,plain,
! [X0] :
( c_in(X0,v_Y,t_a)
| c_in(X0,v_Z,t_a)
| ~ c_in(X0,v_X,t_a) ),
inference(resolution,[],[f57,f3]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_union(X3,X1,X2),X2)
| c_in(X0,X1,X2)
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f57,plain,
! [X0] :
( c_in(X0,c_union(v_Y,v_Z,t_a),t_a)
| ~ c_in(X0,v_X,t_a) ),
inference(resolution,[],[f56,f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X1,tc_set(X2))
| c_in(X0,X1,X2)
| ~ c_in(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f56,plain,
c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a)),
inference(resolution,[],[f34,f38]) ).
fof(f38,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(duplicate_literal_removal,[],[f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2))
| c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)) ),
inference(resolution,[],[f13,f5]) ).
fof(f5,axiom,
! [X2,X3,X1] :
( c_in(c_Main_OsubsetI__1(X3,X1,X2),X3,X2)
| c_lessequals(X3,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f13,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3)
| c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
inference(resolution,[],[f6,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f6,axiom,
! [X2,X3,X1] :
( ~ c_in(c_Main_OsubsetI__1(X3,X1,X2),X1,X2)
| c_lessequals(X3,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f34,plain,
! [X0] :
( ~ c_lessequals(v_Z,c_union(v_Y,X0,t_a),tc_set(t_a))
| c_lessequals(v_X,c_union(v_Y,X0,t_a),tc_set(t_a)) ),
inference(resolution,[],[f32,f10]) ).
fof(f10,axiom,
! [X4] :
( ~ c_lessequals(v_Y,X4,tc_set(t_a))
| ~ c_lessequals(v_Z,X4,tc_set(t_a))
| c_lessequals(v_X,X4,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f32,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(duplicate_literal_removal,[],[f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2))
| c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)) ),
inference(resolution,[],[f12,f5]) ).
fof(f12,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3)
| c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
inference(resolution,[],[f6,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET834-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 16:30:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (8841)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (8843)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (8845)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.37 Detected maximum model sizes of [max,1,max,max]
% 0.14/0.37 TRYING [1,1,1,1]
% 0.14/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.37 Detected maximum model sizes of [max,1,max,max]
% 0.14/0.37 % (8846)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 TRYING [1,1,1,1]
% 0.14/0.37 TRYING [2,1,2,1]
% 0.14/0.37 TRYING [2,1,2,1]
% 0.14/0.37 TRYING [2,1,2,2]
% 0.14/0.37 TRYING [2,1,2,2]
% 0.14/0.37 % (8847)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 TRYING [3,1,3,1]
% 0.14/0.37 % (8848)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)
% 0.14/0.37 TRYING [3,1,3,1]
% 0.14/0.37 % (8844)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)
% 0.14/0.37 TRYING [3,1,3,2]
% 0.14/0.37 TRYING [3,1,3,2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2,1,3,3]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [2,1,3,3]
% 0.14/0.37 TRYING [3,1,3,3]
% 0.14/0.37 % (8842)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 TRYING [3,1,3,3]
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [4,1,4,3]
% 0.20/0.37 TRYING [4]
% 0.20/0.37 TRYING [4,1,4,3]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 % (8847)First to succeed.
% 0.20/0.37 % (8847)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8841"
% 0.20/0.37 % (8847)Refutation found. Thanks to Tanya!
% 0.20/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38 % (8847)------------------------------
% 0.20/0.38 % (8847)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.38 % (8847)Termination reason: Refutation
% 0.20/0.38
% 0.20/0.38 % (8847)Memory used [KB]: 849
% 0.20/0.38 % (8847)Time elapsed: 0.007 s
% 0.20/0.38 % (8847)Instructions burned: 10 (million)
% 0.20/0.38 % (8841)Success in time 0.021 s
%------------------------------------------------------------------------------