TSTP Solution File: COM011-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COM011-1 : 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 : n017.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 10.79s 1.91s
% Output : Refutation 10.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25035,plain,
$false,
inference(subsumption_resolution,[],[f25032,f23798]) ).
fof(f23798,plain,
! [X2,X0,X1] : c_lessequals(c_minus(X0,X1,tc_set(X2)),X0,tc_set(X2)),
inference(duplicate_literal_removal,[],[f23705]) ).
fof(f23705,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,[],[f1923,f308]) ).
fof(f308,axiom,
! [X2,X15,X13] :
( ~ c_in(c_Main_OsubsetI__1(X13,X15,X2),X15,X2)
| c_lessequals(X13,X15,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f1923,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,[],[f307,f158]) ).
fof(f158,axiom,
! [X2,X34,X15,X13] :
( ~ c_in(X34,c_minus(X13,X15,tc_set(X2)),X2)
| c_in(X34,X13,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiffE_1) ).
fof(f307,axiom,
! [X2,X15,X13] :
( c_in(c_Main_OsubsetI__1(X13,X15,X2),X13,X2)
| c_lessequals(X13,X15,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f25032,plain,
~ c_lessequals(c_minus(v_A,v_B,tc_set(t_a)),v_A,tc_set(t_a)),
inference(resolution,[],[f25028,f7302]) ).
fof(f7302,plain,
! [X0] :
( c_in(v_F,c_WFair_Otransient(X0,t_a),tc_UNITY_Oprogram(t_a))
| ~ c_lessequals(X0,v_A,tc_set(t_a)) ),
inference(resolution,[],[f1371,f1373]) ).
fof(f1373,axiom,
c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1371,axiom,
! [X2,X16,X15,X13] :
( ~ c_in(X16,c_WFair_Otransient(X13,X2),tc_UNITY_Oprogram(X2))
| ~ c_lessequals(X15,X13,tc_set(X2))
| c_in(X16,c_WFair_Otransient(X15,X2),tc_UNITY_Oprogram(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WFair_Otransient__strengthen_0) ).
fof(f25028,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)),
inference(subsumption_resolution,[],[f25027,f23798]) ).
fof(f25027,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_lessequals(c_minus(v_A,v_B,tc_set(t_a)),v_A,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f15389,f3612]) ).
fof(f3612,plain,
~ c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
inference(resolution,[],[f1370,f1374]) ).
fof(f1374,axiom,
~ c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1370,axiom,
! [X2,X16,X15,X13] :
( c_in(X16,c_WFair_OleadsTo(X13,X15,X2),tc_UNITY_Oprogram(X2))
| ~ c_in(X16,c_WFair_Oensures(X13,X15,X2),tc_UNITY_Oprogram(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WFair_OleadsTo__Basis_0) ).
fof(f15389,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,[],[f1369,f7761]) ).
fof(f7761,plain,
! [X0] :
( c_in(v_F,c_UNITY_Oconstrains(X0,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a))
| ~ c_lessequals(X0,v_A,tc_set(t_a)) ),
inference(resolution,[],[f1366,f1372]) ).
fof(f1372,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1366,axiom,
! [X2,X54,X16,X15,X13] :
( ~ c_in(X16,c_UNITY_Oconstrains(X13,X54,X2),tc_UNITY_Oprogram(X2))
| ~ c_lessequals(X15,X13,tc_set(X2))
| c_in(X16,c_UNITY_Oconstrains(X15,X54,X2),tc_UNITY_Oprogram(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Oconstrains__weaken__L_0) ).
fof(f1369,axiom,
! [X2,X16,X15,X13] :
( ~ c_in(X16,c_UNITY_Oconstrains(c_minus(X13,X15,tc_set(X2)),c_union(X13,X15,X2),X2),tc_UNITY_Oprogram(X2))
| ~ c_in(X16,c_WFair_Otransient(c_minus(X13,X15,tc_set(X2)),X2),tc_UNITY_Oprogram(X2))
| c_in(X16,c_WFair_Oensures(X13,X15,X2),tc_UNITY_Oprogram(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WFair_OensuresI_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COM011-1 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n017.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 : Tue Apr 30 04:39:49 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.36 % (25879)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.40 % (25882)WARNING: value z3 for option sas not known
% 0.21/0.40 % (25880)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.40 % (25881)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.40 % (25886)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.40 % (25885)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.40 % (25883)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.40 % (25882)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.40 % (25884)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.50 TRYING [1]
% 0.21/0.51 TRYING [2]
% 1.45/0.62 TRYING [3]
% 2.07/0.69 TRYING [1]
% 2.48/0.72 TRYING [2]
% 5.00/1.09 TRYING [4]
% 6.95/1.41 TRYING [3]
% 7.93/1.53 TRYING [1]
% 8.23/1.54 TRYING [2]
% 8.25/1.59 TRYING [3]
% 10.79/1.91 % (25882)First to succeed.
% 10.79/1.91 % (25882)Refutation found. Thanks to Tanya!
% 10.79/1.91 % SZS status Unsatisfiable for theBenchmark
% 10.79/1.91 % SZS output start Proof for theBenchmark
% See solution above
% 10.79/1.91 % (25882)------------------------------
% 10.79/1.91 % (25882)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 10.79/1.91 % (25882)Termination reason: Refutation
% 10.79/1.91
% 10.79/1.91 % (25882)Memory used [KB]: 61143
% 10.79/1.91 % (25882)Time elapsed: 1.504 s
% 10.79/1.91 % (25882)Instructions burned: 3801 (million)
% 10.79/1.91 % (25882)------------------------------
% 10.79/1.91 % (25882)------------------------------
% 10.79/1.91 % (25879)Success in time 1.538 s
%------------------------------------------------------------------------------