TSTP Solution File: LAT394-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT394-1 : TPTP v8.1.2. Released v5.4.0.
% 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 : n013.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 : Thu Aug 31 06:38:40 EDT 2023
% Result : Unsatisfiable 0.22s 0.62s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 2
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 78 (; 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5552,plain,
$false,
inference(subsumption_resolution,[],[f5422,f4650]) ).
fof(f4650,plain,
! [X0,X1] : f(X0,f(X0,X0)) = f(X1,f(X1,X1)),
inference(superposition,[],[f4648,f120]) ).
fof(f120,plain,
! [X2,X3] : f(f(X2,X3),f(X2,X2)) = X2,
inference(backward_demodulation,[],[f61,f117]) ).
fof(f117,plain,
! [X47] : f(X47,X47) = f(X47,f(f(X47,f(f(X47,X47),X47)),X47)),
inference(superposition,[],[f47,f61]) ).
fof(f47,plain,
! [X1] : f(f(X1,X1),f(X1,X1)) = X1,
inference(superposition,[],[f29,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
file('/export/starexec/sandbox/tmp/tmp.jonVmRcTgz/Vampire---4.8_22639',sos) ).
fof(f29,plain,
! [X2,X0,X1] : f(f(f(f(X0,X1),f(X1,X2)),X1),f(X1,X1)) = X1,
inference(superposition,[],[f15,f1]) ).
fof(f15,plain,
! [X2,X0,X1] : f(f(X0,X1),f(X1,X2)) = f(f(X0,X1),f(f(f(X0,X1),f(X1,X2)),X1)),
inference(superposition,[],[f9,f1]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : f(X1,X2) = f(X1,f(f(X1,X2),f(f(f(X1,X2),f(f(f(X0,X1),f(X0,X1)),f(X0,X1))),X3))),
inference(superposition,[],[f1,f1]) ).
fof(f61,plain,
! [X2,X3] : f(f(X2,X3),f(X2,f(f(X2,f(f(X2,X2),X2)),X2))) = X2,
inference(superposition,[],[f1,f47]) ).
fof(f4648,plain,
! [X319,X320] : f(f(X320,X320),X320) = f(X319,f(X319,X319)),
inference(backward_demodulation,[],[f4035,f4519]) ).
fof(f4519,plain,
! [X319,X318,X320] : f(X318,X319) = f(X318,f(f(f(X320,X320),X320),f(X318,X319))),
inference(superposition,[],[f107,f4032]) ).
fof(f4032,plain,
! [X38,X37] : f(X37,X37) = f(f(f(X38,X38),X38),X37),
inference(forward_demodulation,[],[f3918,f120]) ).
fof(f3918,plain,
! [X38,X37] : f(X37,X37) = f(f(f(X38,X38),X38),f(f(X37,X37),f(X37,X37))),
inference(superposition,[],[f423,f3496]) ).
fof(f3496,plain,
! [X4,X5] : f(X4,X4) = f(X4,f(f(X5,X5),X5)),
inference(superposition,[],[f107,f3431]) ).
fof(f3431,plain,
! [X11,X12,X13] : f(f(X11,X13),f(X11,f(f(X12,X12),X12))) = X11,
inference(forward_demodulation,[],[f3430,f364]) ).
fof(f364,plain,
! [X24,X25] : f(f(X24,X25),f(X25,X25)) = X25,
inference(superposition,[],[f294,f120]) ).
fof(f294,plain,
! [X2,X3,X0,X1] : f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,X1)) = X1,
inference(superposition,[],[f107,f1]) ).
fof(f3430,plain,
! [X11,X12,X13] : f(f(f(f(X12,X11),f(X11,X11)),X13),f(X11,f(f(X12,X12),X12))) = X11,
inference(forward_demodulation,[],[f3364,f438]) ).
fof(f438,plain,
! [X0,X1] : f(X0,X0) = f(X0,f(X1,f(X0,X0))),
inference(superposition,[],[f425,f178]) ).
fof(f178,plain,
! [X0,X1] : f(f(X0,X0),f(X0,X1)) = X0,
inference(superposition,[],[f131,f120]) ).
fof(f131,plain,
! [X34,X32] : f(X32,X32) = f(X32,f(f(X32,X32),X34)),
inference(backward_demodulation,[],[f56,f120]) ).
fof(f56,plain,
! [X34,X32] : f(X32,f(f(X32,X32),X34)) = f(X32,f(f(X32,f(f(X32,X32),X34)),f(X32,X32))),
inference(superposition,[],[f15,f29]) ).
fof(f425,plain,
! [X54,X53] : f(f(X54,X54),f(X53,X54)) = X54,
inference(superposition,[],[f216,f364]) ).
fof(f216,plain,
! [X18,X19] : f(X18,X19) = f(f(f(X18,X19),f(X18,X19)),X18),
inference(superposition,[],[f178,f120]) ).
fof(f3364,plain,
! [X11,X12,X13] : f(f(f(f(X12,X11),f(X11,f(X11,f(X11,X11)))),X13),f(X11,f(f(X12,X12),X12))) = X11,
inference(superposition,[],[f1,f3058]) ).
fof(f3058,plain,
! [X10,X9] : f(X9,X10) = f(X9,f(f(X9,X10),f(X9,f(X9,X9)))),
inference(superposition,[],[f2925,f178]) ).
fof(f2925,plain,
! [X0,X1] : f(f(f(X0,X0),X1),f(X1,f(X0,f(X0,X0)))) = X1,
inference(superposition,[],[f2772,f120]) ).
fof(f2772,plain,
! [X22,X23] : f(f(X23,X22),f(X22,f(f(X23,X23),X23))) = X22,
inference(superposition,[],[f106,f364]) ).
fof(f106,plain,
! [X11,X12,X13] : f(f(X11,X12),f(X12,f(f(X12,f(f(X11,X11),X11)),X13))) = X12,
inference(superposition,[],[f1,f61]) ).
fof(f423,plain,
! [X50,X49] : f(X49,X50) = f(X50,f(f(X49,X50),f(X49,X50))),
inference(superposition,[],[f120,f364]) ).
fof(f107,plain,
! [X14,X15] : f(X14,X15) = f(X14,f(f(X14,X15),f(X14,X15))),
inference(superposition,[],[f9,f61]) ).
fof(f4035,plain,
! [X319,X320] : f(f(X320,X320),X320) = f(X319,f(f(f(X320,X320),X320),f(X319,f(X319,X319)))),
inference(forward_demodulation,[],[f3976,f120]) ).
fof(f3976,plain,
! [X319,X320] : f(f(X320,X320),X320) = f(f(f(X319,X319),f(X319,X319)),f(f(f(X320,X320),X320),f(X319,f(X319,X319)))),
inference(superposition,[],[f2925,f3496]) ).
fof(f5422,plain,
! [X0] : f(x0,f(x0,x0)) != f(X0,f(X0,X0)),
inference(superposition,[],[f5,f4650]) ).
fof(f5,axiom,
f(x0,f(x0,x0)) != f(x1,f(x1,x1)),
file('/export/starexec/sandbox/tmp/tmp.jonVmRcTgz/Vampire---4.8_22639',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT394-1 : TPTP v8.1.2. Released v5.4.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 04:21:17 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.jonVmRcTgz/Vampire---4.8_22639
% 0.15/0.36 % (22780)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (22784)lrs+10_10_av=off:bd=off:fde=unused:nwc=4.0:sims=off:sp=occurrence:to=lpo:stl=125_468 on Vampire---4 for (468ds/0Mi)
% 0.22/0.42 % (22785)dis+10_5:4_av=off:bd=off:drc=off:fde=unused:nwc=1.5:sims=off:to=lpo:tgt=ground_445 on Vampire---4 for (445ds/0Mi)
% 0.22/0.42 % (22786)ott+10_64_av=off:bd=preordered:drc=off:fde=unused:sims=off:sp=reverse_arity:tgt=ground_392 on Vampire---4 for (392ds/0Mi)
% 0.22/0.42 % (22782)dis+10_40_av=off:bd=preordered:drc=off:nwc=1.3:sp=scramble:tgt=ground_1117 on Vampire---4 for (1117ds/0Mi)
% 0.22/0.42 % (22783)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_839 on Vampire---4 for (839ds/0Mi)
% 0.22/0.42 % (22781)dis+10_2_av=off:bd=preordered:drc=off:nwc=1.2:sims=off:sp=reverse_frequency:to=lpo:tgt=ground_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.43 % (22787)dis+10_50_av=off:sims=off:sp=weighted_frequency:tgt=full_325 on Vampire---4 for (325ds/0Mi)
% 0.22/0.62 % (22783)First to succeed.
% 0.22/0.62 % (22783)Refutation found. Thanks to Tanya!
% 0.22/0.62 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.62 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.62 % (22783)------------------------------
% 0.22/0.62 % (22783)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.62 % (22783)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.62 % (22783)Termination reason: Refutation
% 0.22/0.62
% 0.22/0.62 % (22783)Memory used [KB]: 6908
% 0.22/0.62 % (22783)Time elapsed: 0.198 s
% 0.22/0.62 % (22783)------------------------------
% 0.22/0.62 % (22783)------------------------------
% 0.22/0.62 % (22780)Success in time 0.257 s
% 0.22/0.62 % Vampire---4.8 exiting
%------------------------------------------------------------------------------