TSTP Solution File: SCT123+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SCT123+1 : TPTP v8.1.2. Released v5.2.0.
% 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 : n012.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 14:23:01 EDT 2023
% Result : ContradictoryAxioms 2.87s 0.91s
% Output : Refutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 15 unt; 0 def)
% Number of atoms : 64 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 35 ~; 27 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-3 aty)
% Number of variables : 110 (; 110 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9341,plain,
$false,
inference(unit_resulting_resolution,[],[f2975,f2976,f2977,f6107]) ).
fof(f6107,plain,
! [X21,X22,X23] :
( ~ sQ91_eqProxy(X21,hAPP(c_fNot,X23))
| ~ sQ91_eqProxy(X23,X22)
| ~ sQ91_eqProxy(X21,X22) ),
inference(resolution,[],[f4900,f3191]) ).
fof(f3191,plain,
! [X0,X1] :
( sQ91_eqProxy(X1,X0)
| ~ sQ91_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f2687]) ).
fof(f2687,plain,
! [X0,X1] :
( sQ91_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ91_eqProxy])]) ).
fof(f4900,plain,
! [X14,X15,X13] :
( ~ sQ91_eqProxy(hAPP(c_fNot,X13),X15)
| ~ sQ91_eqProxy(X15,X14)
| ~ sQ91_eqProxy(X13,X14) ),
inference(resolution,[],[f4799,f3192]) ).
fof(f3192,plain,
! [X2,X0,X1] :
( sQ91_eqProxy(X0,X2)
| ~ sQ91_eqProxy(X1,X2)
| ~ sQ91_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f2687]) ).
fof(f4799,plain,
! [X10,X9] :
( ~ sQ91_eqProxy(hAPP(c_fNot,X9),X10)
| ~ sQ91_eqProxy(X9,X10) ),
inference(resolution,[],[f4767,f3191]) ).
fof(f4767,plain,
! [X3,X4] :
( ~ sQ91_eqProxy(X3,hAPP(c_fNot,X4))
| ~ sQ91_eqProxy(X4,X3) ),
inference(resolution,[],[f4765,f3192]) ).
fof(f4765,plain,
! [X39] : ~ sQ91_eqProxy(X39,hAPP(c_fNot,X39)),
inference(duplicate_literal_removal,[],[f4763]) ).
fof(f4763,plain,
! [X39] :
( ~ sQ91_eqProxy(X39,hAPP(c_fNot,X39))
| ~ sQ91_eqProxy(X39,hAPP(c_fNot,X39)) ),
inference(resolution,[],[f4746,f3226]) ).
fof(f3226,plain,
! [X0] :
( ~ hBOOL(X0)
| ~ sQ91_eqProxy(X0,hAPP(c_fNot,X0)) ),
inference(factoring,[],[f3205]) ).
fof(f3205,plain,
! [X0,X1] :
( ~ hBOOL(X1)
| ~ sQ91_eqProxy(X0,hAPP(c_fNot,X1))
| ~ hBOOL(X0) ),
inference(resolution,[],[f3154,f1803]) ).
fof(f1803,plain,
! [X0] :
( ~ hBOOL(hAPP(c_fNot,X0))
| ~ hBOOL(X0) ),
inference(cnf_transformation,[],[f538]) ).
fof(f538,plain,
! [X0] :
( ~ hBOOL(X0)
| ~ hBOOL(hAPP(c_fNot,X0)) ),
inference(rectify,[],[f526]) ).
fof(f526,axiom,
! [X22] :
( ~ hBOOL(X22)
| ~ hBOOL(hAPP(c_fNot,X22)) ),
file('/export/starexec/sandbox/tmp/tmp.QvmddwFRZd/Vampire---4.8_4322',help_c__fNot__1) ).
fof(f3154,plain,
! [X0,X1] :
( hBOOL(X1)
| ~ hBOOL(X0)
| ~ sQ91_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f2687]) ).
fof(f4746,plain,
! [X0] :
( hBOOL(X0)
| ~ sQ91_eqProxy(X0,hAPP(c_fNot,X0)) ),
inference(resolution,[],[f4723,f3190]) ).
fof(f3190,plain,
! [X0] : sQ91_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f2687]) ).
fof(f4723,plain,
! [X0] :
( ~ sQ91_eqProxy(c_fNot,c_fNot)
| ~ sQ91_eqProxy(X0,hAPP(c_fNot,X0))
| hBOOL(X0) ),
inference(resolution,[],[f3023,f3228]) ).
fof(f3228,plain,
! [X0] :
( ~ sQ91_eqProxy(hAPP(c_fNot,X0),hAPP(c_fNot,hAPP(c_fNot,X0)))
| hBOOL(X0) ),
inference(resolution,[],[f3226,f1802]) ).
fof(f1802,plain,
! [X0] :
( hBOOL(hAPP(c_fNot,X0))
| hBOOL(X0) ),
inference(cnf_transformation,[],[f537]) ).
fof(f537,plain,
! [X0] :
( hBOOL(hAPP(c_fNot,X0))
| hBOOL(X0) ),
inference(rectify,[],[f527]) ).
fof(f527,axiom,
! [X22] :
( hBOOL(hAPP(c_fNot,X22))
| hBOOL(X22) ),
file('/export/starexec/sandbox/tmp/tmp.QvmddwFRZd/Vampire---4.8_4322',help_c__fNot__2) ).
fof(f3023,plain,
! [X2,X3,X0,X1] :
( sQ91_eqProxy(hAPP(X0,X2),hAPP(X1,X3))
| ~ sQ91_eqProxy(X2,X3)
| ~ sQ91_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f2687]) ).
fof(f2977,plain,
! [X2,X3,X0,X1,X4,X5] : sQ91_eqProxy(hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0),hAPP(hAPP(X2,X0),hAPP(X1,X0))),
inference(equality_proxy_replacement,[],[f2432,f2687]) ).
fof(f2432,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
inference(cnf_transformation,[],[f964]) ).
fof(f964,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
inference(rectify,[],[f523]) ).
fof(f523,axiom,
! [X13,X84,X22,X7,X19,X18] : hAPP(hAPP(hAPP(c_COMBS(X18,X19,X7),X22),X84),X13) = hAPP(hAPP(X22,X13),hAPP(X84,X13)),
file('/export/starexec/sandbox/tmp/tmp.QvmddwFRZd/Vampire---4.8_4322',help_c__COMBS__1) ).
fof(f2976,plain,
! [X2,X3,X0,X1,X4,X5] : sQ91_eqProxy(hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0),hAPP(X2,hAPP(X1,X0))),
inference(equality_proxy_replacement,[],[f2431,f2687]) ).
fof(f2431,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
inference(cnf_transformation,[],[f963]) ).
fof(f963,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
inference(rectify,[],[f521]) ).
fof(f521,axiom,
! [X13,X84,X22,X19,X7,X18] : hAPP(hAPP(hAPP(c_COMBB(X18,X7,X19),X22),X84),X13) = hAPP(X22,hAPP(X84,X13)),
file('/export/starexec/sandbox/tmp/tmp.QvmddwFRZd/Vampire---4.8_4322',help_c__COMBB__1) ).
fof(f2975,plain,
! [X2,X3,X0,X1,X4,X5] : sQ91_eqProxy(hAPP(hAPP(X2,X0),X1),hAPP(hAPP(hAPP(c_COMBC(X5,X4,X3),X2),X1),X0)),
inference(equality_proxy_replacement,[],[f2430,f2687]) ).
fof(f2430,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(X2,X0),X1) = hAPP(hAPP(hAPP(c_COMBC(X5,X4,X3),X2),X1),X0),
inference(cnf_transformation,[],[f962]) ).
fof(f962,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(X2,X0),X1) = hAPP(hAPP(hAPP(c_COMBC(X5,X4,X3),X2),X1),X0),
inference(rectify,[],[f522]) ).
fof(f522,axiom,
! [X13,X84,X22,X7,X19,X18] : hAPP(hAPP(hAPP(c_COMBC(X18,X19,X7),X22),X84),X13) = hAPP(hAPP(X22,X13),X84),
file('/export/starexec/sandbox/tmp/tmp.QvmddwFRZd/Vampire---4.8_4322',help_c__COMBC__1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.20 % Problem : SCT123+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.21 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.22/0.43 % Computer : n012.cluster.edu
% 0.22/0.43 % Model : x86_64 x86_64
% 0.22/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.43 % Memory : 8042.1875MB
% 0.22/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.22/0.43 % CPULimit : 300
% 0.22/0.43 % WCLimit : 300
% 0.22/0.43 % DateTime : Thu Aug 24 16:19:56 EDT 2023
% 0.22/0.43 % CPUTime :
% 0.22/0.43 This is a FOF_THM_RFO_SEQ problem
% 0.22/0.43 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.QvmddwFRZd/Vampire---4.8_4322
% 0.22/0.44 % (4433)Running in auto input_syntax mode. Trying TPTP
% 0.30/0.52 % (4435)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.30/0.53 % (4440)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.30/0.54 % (4437)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.30/0.54 % (4439)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.30/0.54 % (4438)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.30/0.54 % (4434)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.30/0.54 % (4436)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.30/0.65 % (4434)Refutation not found, incomplete strategy% (4434)------------------------------
% 0.30/0.65 % (4434)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.30/0.65 % (4434)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.30/0.65 % (4434)Termination reason: Refutation not found, incomplete strategy
% 0.30/0.65
% 0.30/0.65 % (4434)Memory used [KB]: 9083
% 0.30/0.65 % (4434)Time elapsed: 0.109 s
% 0.30/0.65 % (4434)------------------------------
% 0.30/0.65 % (4434)------------------------------
% 0.30/0.68 % (4441)lrs-11_32_amm=off:bce=on:cond=on:er=filter:fsd=off:fde=none:gs=on:gsem=on:lcm=reverse:nm=4:nwc=1.1:sos=all:sac=on:sp=frequency:urr=on:stl=125_403 on Vampire---4 for (403ds/0Mi)
% 2.86/0.90 % (4435)First to succeed.
% 2.87/0.91 % (4435)Refutation found. Thanks to Tanya!
% 2.87/0.91 % SZS status ContradictoryAxioms for Vampire---4
% 2.87/0.91 % SZS output start Proof for Vampire---4
% See solution above
% 2.87/0.91 % (4435)------------------------------
% 2.87/0.91 % (4435)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 2.87/0.91 % (4435)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 2.87/0.91 % (4435)Termination reason: Refutation
% 2.87/0.91
% 2.87/0.91 % (4435)Memory used [KB]: 16502
% 2.87/0.91 % (4435)Time elapsed: 0.386 s
% 2.87/0.91 % (4435)------------------------------
% 2.87/0.91 % (4435)------------------------------
% 2.87/0.91 % (4433)Success in time 0.469 s
% 2.87/0.91 % Vampire---4.8 exiting
%------------------------------------------------------------------------------