TSTP Solution File: COM011-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COM011-2 : 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 : n020.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 10:46:42 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 32 ( 9 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 26 ~; 28 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f81,plain,
$false,
inference(avatar_sat_refutation,[],[f58,f60,f78,f80]) ).
fof(f80,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f79]) ).
fof(f79,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f53,f14]) ).
fof(f14,plain,
~ c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
inference(resolution,[],[f9,f3]) ).
fof(f3,axiom,
~ c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f9,axiom,
! [X2,X3,X1,X4] :
( c_in(X4,c_WFair_OleadsTo(X1,X2,X3),tc_UNITY_Oprogram(X3))
| ~ c_in(X4,c_WFair_Oensures(X1,X2,X3),tc_UNITY_Oprogram(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WFair_OleadsTo__Basis_0) ).
fof(f53,plain,
( c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl0_2
<=> c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f78,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f76,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f74,f2]) ).
fof(f2,axiom,
c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f74,plain,
( ~ c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a))
| spl0_3 ),
inference(resolution,[],[f61,f19]) ).
fof(f19,plain,
! [X2,X0,X1] : c_lessequals(c_minus(X0,X1,tc_set(X2)),X0,tc_set(X2)),
inference(duplicate_literal_removal,[],[f17]) ).
fof(f17,plain,
! [X2,X0,X1] :
( c_lessequals(c_minus(X0,X1,tc_set(X2)),X0,tc_set(X2))
| c_lessequals(c_minus(X0,X1,tc_set(X2)),X0,tc_set(X2)) ),
inference(resolution,[],[f11,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/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_minus(X0,X1,tc_set(X2)),X3,X2),X0,X2)
| c_lessequals(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2)) ),
inference(resolution,[],[f5,f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
| c_in(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffE_1) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f61,plain,
( ! [X0] :
( ~ c_lessequals(c_minus(v_A,v_B,tc_set(t_a)),X0,tc_set(t_a))
| ~ c_in(v_F,c_WFair_Otransient(X0,t_a),tc_UNITY_Oprogram(t_a)) )
| spl0_3 ),
inference(resolution,[],[f57,f10]) ).
fof(f10,axiom,
! [X2,X3,X1,X4] :
( c_in(X4,c_WFair_Otransient(X2,X3),tc_UNITY_Oprogram(X3))
| ~ c_in(X4,c_WFair_Otransient(X1,X3),tc_UNITY_Oprogram(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WFair_Otransient__strengthen_0) ).
fof(f57,plain,
( ~ c_in(v_F,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a))
| spl0_3 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_3
<=> c_in(v_F,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f60,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f49,f19]) ).
fof(f49,plain,
( ~ c_lessequals(c_minus(v_A,v_B,tc_set(t_a)),v_A,tc_set(t_a))
| spl0_1 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl0_1
<=> c_lessequals(c_minus(v_A,v_B,tc_set(t_a)),v_A,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f58,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f41,f55,f51,f47]) ).
fof(f41,plain,
( ~ c_in(v_F,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a))
| c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a))
| ~ c_lessequals(c_minus(v_A,v_B,tc_set(t_a)),v_A,tc_set(t_a)) ),
inference(resolution,[],[f23,f1]) ).
fof(f1,axiom,
c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_WFair_Otransient(c_minus(X1,X2,tc_set(X3)),X3),tc_UNITY_Oprogram(X3))
| ~ c_in(X0,c_UNITY_Oconstrains(X4,c_union(X1,X2,X3),X3),tc_UNITY_Oprogram(X3))
| c_in(X0,c_WFair_Oensures(X1,X2,X3),tc_UNITY_Oprogram(X3))
| ~ c_lessequals(c_minus(X1,X2,tc_set(X3)),X4,tc_set(X3)) ),
inference(resolution,[],[f8,f7]) ).
fof(f7,axiom,
! [X2,X3,X1,X4,X5] :
( c_in(X4,c_UNITY_Oconstrains(X2,X5,X3),tc_UNITY_Oprogram(X3))
| ~ c_in(X4,c_UNITY_Oconstrains(X1,X5,X3),tc_UNITY_Oprogram(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Oconstrains__weaken__L_0) ).
fof(f8,axiom,
! [X2,X3,X1,X4] :
( ~ c_in(X4,c_UNITY_Oconstrains(c_minus(X1,X2,tc_set(X3)),c_union(X1,X2,X3),X3),tc_UNITY_Oprogram(X3))
| ~ c_in(X4,c_WFair_Otransient(c_minus(X1,X2,tc_set(X3)),X3),tc_UNITY_Oprogram(X3))
| c_in(X4,c_WFair_Oensures(X1,X2,X3),tc_UNITY_Oprogram(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WFair_OensuresI_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : COM011-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 05:04:02 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (11639)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (11646)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)
% 0.14/0.38 % (11642)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)
% 0.14/0.38 % (11643)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (11645)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (11641)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (11644)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.38 Detected maximum model sizes of [max,max,1,max]
% 0.14/0.38 TRYING [1,1,1,1]
% 0.14/0.38 % (11640)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (11642)First to succeed.
% 0.14/0.38 TRYING [1,2,1,1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.38 Detected maximum model sizes of [max,max,1,max]
% 0.14/0.38 TRYING [1,1,1,1]
% 0.14/0.38 TRYING [1,2,1,1]
% 0.14/0.38 % (11644)Also succeeded, but the first one will report.
% 0.14/0.38 % (11642)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (11642)------------------------------
% 0.14/0.38 % (11642)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (11642)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (11642)Memory used [KB]: 842
% 0.14/0.38 % (11642)Time elapsed: 0.004 s
% 0.14/0.38 % (11642)Instructions burned: 6 (million)
% 0.14/0.38 % (11642)------------------------------
% 0.14/0.38 % (11642)------------------------------
% 0.14/0.38 % (11639)Success in time 0.019 s
%------------------------------------------------------------------------------