TSTP Solution File: SET839-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET839-1 : 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 : 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 : Tue Apr 30 15:13:26 EDT 2024
% Result : Unsatisfiable 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 48 ( 15 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 49 ( 23 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4384,plain,
$false,
inference(resolution,[],[f3940,f299]) ).
fof(f299,axiom,
! [X2,X13] : c_lessequals(c_emptyset,X13,tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).
fof(f3940,plain,
! [X41] : ~ c_lessequals(c_emptyset,c_insert(X41,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))),
inference(backward_demodulation,[],[f1358,f3938]) ).
fof(f3938,plain,
c_emptyset = v_S,
inference(resolution,[],[f3936,f176]) ).
fof(f176,axiom,
! [X2,X0,X15] : c_in(X0,c_insert(X0,X15,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f3936,plain,
! [X0] :
( ~ c_in(c_Main_OsubsetI__1(v_S,c_emptyset,tc_set(t_a)),c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a))
| c_emptyset = v_S ),
inference(superposition,[],[f2559,f3928]) ).
fof(f3928,plain,
! [X0] :
( c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a)) = c_Main_OsubsetI__1(v_S,c_emptyset,tc_set(t_a))
| c_emptyset = v_S ),
inference(resolution,[],[f2888,f1358]) ).
fof(f2888,plain,
! [X0] :
( c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| c_emptyset = v_S
| c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)) = c_Main_OsubsetI__1(v_S,c_emptyset,tc_set(t_a)) ),
inference(resolution,[],[f2884,f307]) ).
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(f2884,plain,
! [X0] :
( ~ c_in(X0,v_S,tc_set(t_a))
| c_Main_OsubsetI__1(v_S,c_emptyset,tc_set(t_a)) = X0
| c_emptyset = v_S ),
inference(resolution,[],[f2817,f2642]) ).
fof(f2642,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 ),
inference(resolution,[],[f302,f178]) ).
fof(f178,axiom,
! [X2,X13] : ~ c_less(X13,c_emptyset,tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Onot__psubset__empty__iff1_0) ).
fof(f302,axiom,
! [X2,X15,X13] :
( c_less(X13,X15,tc_set(X2))
| ~ c_lessequals(X13,X15,tc_set(X2))
| X13 = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OpsubsetI_0) ).
fof(f2817,plain,
! [X0,X1] :
( c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)) = X1
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(resolution,[],[f2813,f307]) ).
fof(f2813,plain,
! [X0,X1] :
( ~ c_in(X1,v_S,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f2807]) ).
fof(f2807,plain,
! [X0,X1] :
( X0 = X1
| ~ c_in(X1,v_S,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(resolution,[],[f2726,f1359]) ).
fof(f1359,axiom,
! [X41,X54] :
( c_lessequals(X41,X54,tc_set(t_a))
| ~ c_in(X54,v_S,tc_set(t_a))
| ~ c_in(X41,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f2726,plain,
! [X0,X1] :
( ~ c_lessequals(X1,X0,tc_set(t_a))
| X0 = X1
| ~ c_in(X1,v_S,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(resolution,[],[f309,f1359]) ).
fof(f309,axiom,
! [X2,X15,X13] :
( ~ c_lessequals(X15,X13,tc_set(X2))
| ~ c_lessequals(X13,X15,tc_set(X2))
| X13 = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f2559,plain,
! [X0] : ~ c_in(c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a)),c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a)),
inference(resolution,[],[f308,f1358]) ).
fof(f308,axiom,
! [X2,X15,X13] :
( c_lessequals(X13,X15,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X13,X15,X2),X15,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f1358,axiom,
! [X41] : ~ c_lessequals(v_S,c_insert(X41,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET839-1 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n022.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 01:02:28 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (22568)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41 % (22571)WARNING: value z3 for option sas not known
% 0.22/0.41 % (22569)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.41 % (22570)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.41 % (22572)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.41 % (22571)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)
% 0.22/0.41 % (22573)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)
% 0.22/0.41 % (22574)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)
% 0.22/0.41 % (22575)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)
% 0.22/0.47 TRYING [1]
% 0.22/0.48 TRYING [2]
% 0.22/0.53 % (22574)First to succeed.
% 0.22/0.54 % (22574)Refutation found. Thanks to Tanya!
% 0.22/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.54 % (22574)------------------------------
% 0.22/0.54 % (22574)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.54 % (22574)Termination reason: Refutation
% 0.22/0.54
% 0.22/0.54 % (22574)Memory used [KB]: 2811
% 0.22/0.54 % (22574)Time elapsed: 0.122 s
% 0.22/0.54 % (22574)Instructions burned: 226 (million)
% 0.22/0.54 % (22574)------------------------------
% 0.22/0.54 % (22574)------------------------------
% 0.22/0.54 % (22568)Success in time 0.157 s
%------------------------------------------------------------------------------