TSTP Solution File: SET842-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n009.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 18:25:51 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 7 unt; 0 def)
% Number of atoms : 50 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 21 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f49,plain,
$false,
inference(resolution,[],[f48,f12]) ).
fof(f12,plain,
~ c_lessequals(sF2,v_m,sF1),
inference(definition_folding,[],[f1,f9,f8,f11,f8]) ).
fof(f11,plain,
c_Union(v_Y,sF0) = sF2,
introduced(function_definition,[]) ).
fof(f8,plain,
tc_set(t_a) = sF0,
introduced(function_definition,[]) ).
fof(f9,plain,
sF1 = tc_set(sF0),
introduced(function_definition,[]) ).
fof(f1,axiom,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f48,plain,
c_lessequals(sF2,v_m,sF1),
inference(duplicate_literal_removal,[],[f47]) ).
fof(f47,plain,
( c_lessequals(sF2,v_m,sF1)
| c_lessequals(sF2,v_m,sF1) ),
inference(forward_demodulation,[],[f45,f9]) ).
fof(f45,plain,
( c_lessequals(sF2,v_m,tc_set(sF0))
| c_lessequals(sF2,v_m,sF1) ),
inference(resolution,[],[f44,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/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f44,plain,
! [X3] :
( c_in(c_Main_OsubsetI__1(sF2,X3,sF0),v_m,sF0)
| c_lessequals(sF2,X3,sF1) ),
inference(forward_demodulation,[],[f43,f9]) ).
fof(f43,plain,
! [X3] :
( c_lessequals(sF2,X3,tc_set(sF0))
| c_in(c_Main_OsubsetI__1(sF2,X3,sF0),v_m,sF0) ),
inference(resolution,[],[f40,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/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f40,plain,
! [X0] :
( ~ c_in(X0,sF2,sF0)
| c_in(X0,v_m,sF0) ),
inference(duplicate_literal_removal,[],[f39]) ).
fof(f39,plain,
! [X0] :
( c_in(X0,v_m,sF0)
| ~ c_in(X0,sF2,sF0)
| ~ c_in(X0,sF2,sF0) ),
inference(forward_demodulation,[],[f37,f11]) ).
fof(f37,plain,
! [X0] :
( ~ c_in(X0,sF2,sF0)
| ~ c_in(X0,c_Union(v_Y,sF0),sF0)
| c_in(X0,v_m,sF0) ),
inference(resolution,[],[f25,f31]) ).
fof(f31,plain,
! [X0] :
( c_lessequals(c_Main_OUnionE__1(X0,v_Y,sF0),v_m,sF1)
| ~ c_in(X0,sF2,sF0) ),
inference(forward_demodulation,[],[f30,f11]) ).
fof(f30,plain,
! [X0] :
( ~ c_in(X0,c_Union(v_Y,sF0),sF0)
| c_lessequals(c_Main_OUnionE__1(X0,v_Y,sF0),v_m,sF1) ),
inference(resolution,[],[f28,f10]) ).
fof(f10,plain,
! [X0] :
( ~ c_in(X0,v_Y,sF1)
| c_lessequals(X0,v_m,sF1) ),
inference(definition_folding,[],[f2,f9,f8,f9,f8]) ).
fof(f2,axiom,
! [X0] :
( c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,v_Y,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f28,plain,
! [X2,X3] :
( c_in(c_Main_OUnionE__1(X2,X3,sF0),X3,sF1)
| ~ c_in(X2,c_Union(X3,sF0),sF0) ),
inference(superposition,[],[f3,f9]) ).
fof(f3,axiom,
! [X2,X3,X1] :
( c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3))
| ~ c_in(X1,c_Union(X2,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionE_0) ).
fof(f25,plain,
! [X3,X4,X5] :
( ~ c_lessequals(c_Main_OUnionE__1(X3,X4,sF0),X5,sF1)
| ~ c_in(X3,c_Union(X4,sF0),sF0)
| c_in(X3,X5,sF0) ),
inference(resolution,[],[f20,f4]) ).
fof(f4,axiom,
! [X2,X3,X1] :
( c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3)
| ~ c_in(X1,c_Union(X2,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionE_1) ).
fof(f20,plain,
! [X3,X4,X5] :
( ~ c_in(X5,X3,sF0)
| ~ c_lessequals(X3,X4,sF1)
| c_in(X5,X4,sF0) ),
inference(superposition,[],[f5,f9]) ).
fof(f5,axiom,
! [X3,X1,X4,X5] :
( ~ c_lessequals(X1,X5,tc_set(X3))
| c_in(X4,X5,X3)
| ~ c_in(X4,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_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_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 14:20:50 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.49 % (2897)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.18/0.49 % (2917)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.18/0.50 % (2904)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.18/0.50 TRYING [1]
% 0.18/0.50 TRYING [2]
% 0.18/0.50 TRYING [3]
% 0.18/0.50 % (2908)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.18/0.51 % (2908)First to succeed.
% 0.18/0.51 % (2917)Also succeeded, but the first one will report.
% 0.18/0.51 % (2908)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (2908)------------------------------
% 0.18/0.51 % (2908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (2908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (2908)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (2908)Memory used [KB]: 5373
% 0.18/0.51 % (2908)Time elapsed: 0.122 s
% 0.18/0.51 % (2908)Instructions burned: 2 (million)
% 0.18/0.51 % (2908)------------------------------
% 0.18/0.51 % (2908)------------------------------
% 0.18/0.51 % (2896)Success in time 0.166 s
%------------------------------------------------------------------------------