TSTP Solution File: GEO083-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO083-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n001.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 : Fri Sep 1 14:42:37 EDT 2023
% Result : Unsatisfiable 0.17s 0.59s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 27 ( 14 unt; 0 def)
% Number of atoms : 48 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 28 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 42 (; 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8423,plain,
$false,
inference(trivial_inequality_removal,[],[f7462]) ).
fof(f7462,plain,
sum(sk14,sk15) != sum(sk14,sk15),
inference(unit_resulting_resolution,[],[f98,f909,f2947,f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ incident_c(X3,X0)
| incident_c(X3,X2)
| incident_c(X3,X1)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox/tmp/tmp.MV4l1CPHjH/Vampire---4.8_26118',sum_defn_4) ).
fof(f2947,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk15),
inference(unit_resulting_resolution,[],[f49,f2885,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ incident_c(X2,X0)
| ~ part_of(X0,X1)
| incident_c(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.MV4l1CPHjH/Vampire---4.8_26118',part_of_defn_1) ).
fof(f2885,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk16),
inference(unit_resulting_resolution,[],[f99,f2870,f53]) ).
fof(f53,plain,
! [X2,X3,X0] :
( ~ incident_c(X3,X2)
| incident_c(X3,X0)
| sP0(X0,X2) ),
inference(cnf_transformation,[],[f53_D]) ).
fof(f53_D,plain,
! [X2,X0] :
( ! [X3] :
( ~ incident_c(X3,X2)
| incident_c(X3,X0) )
<=> ~ sP0(X0,X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2870,plain,
~ sP0(sum(sk14,sk16),sk16),
inference(forward_demodulation,[],[f2865,f2840]) ).
fof(f2840,plain,
sum(sk14,sk16) = ax0_sk12(sk16,sk14),
inference(unit_resulting_resolution,[],[f51,f44]) ).
fof(f44,axiom,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| sum(X1,X2) = ax0_sk12(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.MV4l1CPHjH/Vampire---4.8_26118',c8_44) ).
fof(f51,axiom,
meet(sk17,sk14,sk16),
file('/export/starexec/sandbox/tmp/tmp.MV4l1CPHjH/Vampire---4.8_26118',corollary_2_6_1_69) ).
fof(f2865,plain,
~ sP0(ax0_sk12(sk16,sk14),sk16),
inference(unit_resulting_resolution,[],[f2840,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X2)
| sum(X1,X2) != X0 ),
inference(general_splitting,[],[f6,f53_D]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ incident_c(X3,X2)
| incident_c(X3,X0)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox/tmp/tmp.MV4l1CPHjH/Vampire---4.8_26118',sum_defn_6) ).
fof(f99,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sum(sk14,sk16)),
inference(unit_resulting_resolution,[],[f52,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ incident_c(ax0_sk1(X0,X1),X1)
| part_of(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.MV4l1CPHjH/Vampire---4.8_26118',part_of_defn_3) ).
fof(f52,axiom,
~ part_of(sum(sk14,sk15),sum(sk14,sk16)),
file('/export/starexec/sandbox/tmp/tmp.MV4l1CPHjH/Vampire---4.8_26118',corollary_2_6_1_70) ).
fof(f49,axiom,
part_of(sk15,sk16),
file('/export/starexec/sandbox/tmp/tmp.MV4l1CPHjH/Vampire---4.8_26118',corollary_2_6_1_67) ).
fof(f909,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk14),
inference(unit_resulting_resolution,[],[f114,f99,f56]) ).
fof(f56,plain,
! [X3,X0,X1] :
( ~ sP1(X0,X1)
| incident_c(X3,X0)
| ~ incident_c(X3,X1) ),
inference(general_splitting,[],[f5,f55_D]) ).
fof(f55,plain,
! [X2,X0,X1] :
( sum(X1,X2) != X0
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f55_D]) ).
fof(f55_D,plain,
! [X1,X0] :
( ! [X2] : sum(X1,X2) != X0
<=> ~ sP1(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ incident_c(X3,X1)
| incident_c(X3,X0)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox/tmp/tmp.MV4l1CPHjH/Vampire---4.8_26118',sum_defn_5) ).
fof(f114,plain,
! [X0,X1] : sP1(sum(X0,X1),X0),
inference(equality_resolution,[],[f55]) ).
fof(f98,plain,
incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sum(sk14,sk15)),
inference(unit_resulting_resolution,[],[f52,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( incident_c(ax0_sk1(X0,X1),X0)
| part_of(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.MV4l1CPHjH/Vampire---4.8_26118',part_of_defn_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO083-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 30 18:47:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.17/0.40 % (26323)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.41 % (26324)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.17/0.41 % (26326)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 Vampire---4 for (569ds/0Mi)
% 0.17/0.41 % (26325)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.17/0.41 % (26327)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.17/0.41 % (26330)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 Vampire---4 for (497ds/0Mi)
% 0.17/0.41 % (26328)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 Vampire---4 for (531ds/0Mi)
% 0.17/0.41 % (26329)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 Vampire---4 for (522ds/0Mi)
% 0.17/0.41 TRYING [1]
% 0.17/0.41 TRYING [2]
% 0.17/0.41 TRYING [3]
% 0.17/0.42 TRYING [1]
% 0.17/0.42 TRYING [2]
% 0.17/0.43 TRYING [4]
% 0.17/0.44 TRYING [3]
% 0.17/0.46 TRYING [5]
% 0.17/0.53 TRYING [4]
% 0.17/0.55 TRYING [6]
% 0.17/0.58 % (26330)First to succeed.
% 0.17/0.59 % (26330)Refutation found. Thanks to Tanya!
% 0.17/0.59 % SZS status Unsatisfiable for Vampire---4
% 0.17/0.59 % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.59 % (26330)------------------------------
% 0.17/0.59 % (26330)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.59 % (26330)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.59 % (26330)Termination reason: Refutation
% 0.17/0.59
% 0.17/0.59 % (26330)Memory used [KB]: 6012
% 0.17/0.59 % (26330)Time elapsed: 0.177 s
% 0.17/0.59 % (26330)------------------------------
% 0.17/0.59 % (26330)------------------------------
% 0.17/0.59 % (26323)Success in time 0.24 s
% 0.17/0.59 % Vampire---4.8 exiting
%------------------------------------------------------------------------------