TSTP Solution File: SYO691-1.000 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO691-1.000 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 : Sun May 5 12:31:12 EDT 2024
% Result : Unsatisfiable 0.15s 0.33s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f142,plain,
$false,
inference(resolution,[],[f72,f2]) ).
fof(f2,axiom,
! [X2] : ~ seq(succ(succ(succ(zero))),X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
fof(f72,plain,
! [X2,X3,X0,X1,X4] : seq(succ(succ(succ(zero))),f(f(X0,f(X1,X2)),f(f(X3,X4),a)),f(f(f(f(X4,f(X2,a)),X1),X3),X0)),
inference(resolution,[],[f26,f19]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X4] : step(f(f(f(f(X0,X1),f(X2,a)),X3),X4),f(f(f(f(X2,f(X1,a)),X0),X3),X4)),
inference(resolution,[],[f12,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ step(X2,X1)
| step(f(X2,X0),f(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_left) ).
fof(f12,plain,
! [X2,X3,X0,X1] : step(f(f(f(X0,X1),f(X2,a)),X3),f(f(f(X2,f(X1,a)),X0),X3)),
inference(resolution,[],[f9,f4]) ).
fof(f9,plain,
! [X2,X0,X1] : step(f(f(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)),
inference(resolution,[],[f1,f3]) ).
fof(f3,axiom,
! [X2,X1] :
( ~ top(X2,X1)
| step(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_top) ).
fof(f1,axiom,
! [X2,X0,X1] : top(f(f(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f26,plain,
! [X2,X3,X0,X1,X4] :
( ~ step(f(f(f(X0,f(X1,a)),X2),X3),X4)
| seq(succ(succ(succ(zero))),f(f(X3,X0),f(f(X2,X1),a)),X4) ),
inference(resolution,[],[f22,f7]) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ seq(X3,X2,X1)
| ~ step(X1,X0)
| seq(succ(X3),X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_sequence_succ) ).
fof(f22,plain,
! [X2,X3,X0,X1] : seq(succ(succ(zero)),f(f(X0,X1),f(f(X2,X3),a)),f(f(f(X1,f(X3,a)),X2),X0)),
inference(resolution,[],[f13,f12]) ).
fof(f13,plain,
! [X2,X3,X0,X1] :
( ~ step(f(f(X0,f(X1,a)),X2),X3)
| seq(succ(succ(zero)),f(f(X2,X1),f(X0,a)),X3) ),
inference(resolution,[],[f10,f7]) ).
fof(f10,plain,
! [X2,X0,X1] : seq(succ(zero),f(f(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)),
inference(resolution,[],[f9,f8]) ).
fof(f8,plain,
! [X0,X1] :
( ~ step(X0,X1)
| seq(succ(zero),X0,X1) ),
inference(resolution,[],[f7,f6]) ).
fof(f6,axiom,
! [X2] : seq(zero,X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_sequence_zero) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SYO691-1.000 : TPTP v8.1.2. Released v7.3.0.
% 0.05/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 15:50:52 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (14361)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (14363)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.32 % (14364)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.32 % (14367)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.32 % (14365)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.32 % (14368)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.32 % (14366)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.32 TRYING [1,1]
% 0.15/0.32 % (14362)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.32 TRYING [1,2]
% 0.15/0.32 TRYING [1,1]
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2,2]
% 0.15/0.32 TRYING [1,2]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [2,2]
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.33 TRYING [1,3]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [2,3]
% 0.15/0.33 TRYING [1,3]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [2,3]
% 0.15/0.33 % (14366)First to succeed.
% 0.15/0.33 % (14366)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14361"
% 0.15/0.33 TRYING [1,4]
% 0.15/0.33 % (14366)Refutation found. Thanks to Tanya!
% 0.15/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.33 % (14366)------------------------------
% 0.15/0.33 % (14366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.33 % (14366)Termination reason: Refutation
% 0.15/0.33
% 0.15/0.33 % (14366)Memory used [KB]: 845
% 0.15/0.33 % (14366)Time elapsed: 0.005 s
% 0.15/0.33 % (14366)Instructions burned: 8 (million)
% 0.15/0.33 % (14361)Success in time 0.019 s
%------------------------------------------------------------------------------