TSTP Solution File: SET842-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET842-2 : 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 : n022.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 18:22:30 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 3 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 24 ( 8 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,plain,
$false,
inference(subsumption_resolution,[],[f37,f1]) ).
fof(f1,axiom,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f37,plain,
c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(duplicate_literal_removal,[],[f35]) ).
fof(f35,plain,
( c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f34,f7]) ).
fof(f7,axiom,
! [X3,X1,X5] :
( ~ c_in(c_Main_OsubsetI__1(X1,X5,X3),X5,X3)
| c_lessequals(X1,X5,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f34,plain,
! [X2] :
( c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X2,tc_set(t_a)),v_m,tc_set(t_a))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X2,tc_set(tc_set(t_a))) ),
inference(duplicate_literal_removal,[],[f32]) ).
fof(f32,plain,
! [X2] :
( c_lessequals(c_Union(v_Y,tc_set(t_a)),X2,tc_set(tc_set(t_a)))
| c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X2,tc_set(t_a)),v_m,tc_set(t_a))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X2,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f29,f11]) ).
fof(f11,plain,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Union(X0,X1),X2,X1),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(X0,X1),X2,X1),X0,X1),X1)
| c_lessequals(c_Union(X0,X1),X2,tc_set(X1)) ),
inference(resolution,[],[f4,f6]) ).
fof(f6,axiom,
! [X3,X1,X5] :
( c_in(c_Main_OsubsetI__1(X1,X5,X3),X1,X3)
| c_lessequals(X1,X5,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f4,axiom,
! [X2,X3,X1] :
( ~ c_in(X1,c_Union(X2,X3),X3)
| c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionE_1) ).
fof(f29,plain,
! [X2,X3] :
( ~ c_in(X3,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X2,tc_set(t_a)),v_Y,tc_set(t_a)),tc_set(t_a))
| c_in(X3,v_m,tc_set(t_a))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X2,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f24,f5]) ).
fof(f5,axiom,
! [X3,X1,X4,X5] :
( ~ c_lessequals(X1,X5,tc_set(X3))
| ~ c_in(X4,X1,X3)
| c_in(X4,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f24,plain,
! [X4] :
( c_lessequals(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X4,tc_set(t_a)),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X4,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f19,f2]) ).
fof(f2,axiom,
! [X0] :
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f19,plain,
! [X2,X0,X1] :
( c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(X0,X1),X2,X1),X0,X1),X0,tc_set(X1))
| c_lessequals(c_Union(X0,X1),X2,tc_set(X1)) ),
inference(resolution,[],[f3,f6]) ).
fof(f3,axiom,
! [X2,X3,X1] :
( ~ c_in(X1,c_Union(X2,X3),X3)
| c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionE_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET842-2 : 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
% 0.13/0.34 % Computer : n022.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 14:24:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (29044)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (29036)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.51 % (29046)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.51 % (29043)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (29035)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.51 % (29048)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (29048)First to succeed.
% 0.19/0.51 % (29046)Also succeeded, but the first one will report.
% 0.19/0.52 % (29048)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (29048)------------------------------
% 0.19/0.52 % (29048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (29048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (29048)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (29048)Memory used [KB]: 5884
% 0.19/0.52 % (29048)Time elapsed: 0.103 s
% 0.19/0.52 % (29048)Instructions burned: 2 (million)
% 0.19/0.52 % (29048)------------------------------
% 0.19/0.52 % (29048)------------------------------
% 0.19/0.52 % (29034)Success in time 0.167 s
%------------------------------------------------------------------------------