TSTP Solution File: SET820-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET820-2 : 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 : n011.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 18:22:23 EDT 2022
% Result : Unsatisfiable 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 17 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,plain,
$false,
inference(unit_resulting_resolution,[],[f4,f2,f1,f12]) ).
fof(f12,plain,
! [X2,X3,X4] :
( ~ v_P(X2)
| ~ c_in(X4,c_insert(X2,X3,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_x(c_insert(X2,X3,tc_IntDef_Oint)),X3,tc_IntDef_Oint) ),
inference(superposition,[],[f6,f10]) ).
fof(f10,plain,
! [X3,X4] :
( v_x(c_insert(X3,X4,tc_IntDef_Oint)) = X3
| c_in(v_x(c_insert(X3,X4,tc_IntDef_Oint)),X4,tc_IntDef_Oint) ),
inference(resolution,[],[f3,f7]) ).
fof(f7,plain,
! [X0,X1] : c_in(v_x(c_insert(X0,X1,tc_IntDef_Oint)),c_insert(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint),
inference(resolution,[],[f2,f5]) ).
fof(f5,axiom,
! [X6,X7] :
( ~ c_in(X6,X7,tc_IntDef_Oint)
| c_in(v_x(X7),X7,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,axiom,
! [X0,X1,X4,X5] :
( ~ c_in(X0,c_insert(X4,X5,X1),X1)
| c_in(X0,X5,X1)
| X0 = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f6,axiom,
! [X8,X7] :
( ~ v_P(v_x(X7))
| ~ c_in(X8,X7,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1,axiom,
! [X0,X1] : ~ c_in(X0,c_emptyset,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
fof(f2,axiom,
! [X2,X3,X1] : c_in(X2,c_insert(X2,X3,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f4,axiom,
v_P(v_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET820-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.33 % Computer : n011.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 30 14:27:10 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.16/0.49 % (1577)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.49 % (1576)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.16/0.49 % (1569)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)
% 0.16/0.49 % (1567)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.16/0.50 % (1585)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.16/0.50 TRYING [1]
% 0.16/0.50 % (1583)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.16/0.50 % (1575)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.16/0.50 % (1577)Instruction limit reached!
% 0.16/0.50 % (1577)------------------------------
% 0.16/0.50 % (1577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (1577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (1577)Termination reason: Unknown
% 0.16/0.50 % (1577)Termination phase: Saturation
% 0.16/0.50
% 0.16/0.50 % (1577)Memory used [KB]: 5756
% 0.16/0.50 % (1577)Time elapsed: 0.105 s
% 0.16/0.50 % (1577)Instructions burned: 2 (million)
% 0.16/0.50 % (1577)------------------------------
% 0.16/0.50 % (1577)------------------------------
% 0.16/0.50 % (1575)First to succeed.
% 0.16/0.50 % (1568)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.50 TRYING [2]
% 0.16/0.50 TRYING [3]
% 0.16/0.50 % (1569)Instruction limit reached!
% 0.16/0.50 % (1569)------------------------------
% 0.16/0.50 % (1569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (1569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (1569)Termination reason: Unknown
% 0.16/0.50 % (1569)Termination phase: Saturation
% 0.16/0.50
% 0.16/0.50 % (1569)Memory used [KB]: 5756
% 0.16/0.50 % (1569)Time elapsed: 0.114 s
% 0.16/0.50 % (1569)Instructions burned: 3 (million)
% 0.16/0.50 % (1569)------------------------------
% 0.16/0.50 % (1569)------------------------------
% 0.16/0.50 % (1576)Also succeeded, but the first one will report.
% 0.16/0.50 % (1575)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (1575)------------------------------
% 0.16/0.50 % (1575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (1575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (1575)Termination reason: Refutation
% 0.16/0.50
% 0.16/0.50 % (1575)Memory used [KB]: 1279
% 0.16/0.50 % (1575)Time elapsed: 0.103 s
% 0.16/0.50 % (1575)Instructions burned: 2 (million)
% 0.16/0.50 % (1575)------------------------------
% 0.16/0.50 % (1575)------------------------------
% 0.16/0.50 % (1560)Success in time 0.163 s
%------------------------------------------------------------------------------