TSTP Solution File: ALG011-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG011-1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Mon May 20 18:21:44 EDT 2024
% Result : Unsatisfiable 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 14 unt; 0 def)
% Number of atoms : 28 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f177,plain,
$false,
inference(subsumption_resolution,[],[f176,f112]) ).
fof(f112,plain,
~ c(f(a1,f(a2,a2))),
inference(unit_resulting_resolution,[],[f34,f3]) ).
fof(f3,axiom,
! [X0] :
( ~ d(X0)
| ~ c(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partitions_exclusive) ).
fof(f34,plain,
d(f(a1,f(a2,a2))),
inference(unit_resulting_resolution,[],[f4,f22,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ c(X1)
| ~ c(X0)
| d(f(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture_1) ).
fof(f22,plain,
c(f(a2,a2)),
inference(unit_resulting_resolution,[],[f5,f5,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ d(X1)
| ~ d(X0)
| c(f(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture_2) ).
fof(f5,axiom,
d(a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partition_d_not_empty) ).
fof(f4,axiom,
c(a1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partition_c_not_empty) ).
fof(f176,plain,
c(f(a1,f(a2,a2))),
inference(forward_demodulation,[],[f173,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_is_associative) ).
fof(f173,plain,
c(f(f(a1,a2),a2)),
inference(unit_resulting_resolution,[],[f167,f49]) ).
fof(f49,plain,
! [X0] :
( c(f(X0,a2))
| c(X0) ),
inference(resolution,[],[f26,f2]) ).
fof(f2,axiom,
! [X0] :
( d(X0)
| c(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partitions_union) ).
fof(f26,plain,
! [X0] :
( ~ d(X0)
| c(f(X0,a2)) ),
inference(resolution,[],[f7,f5]) ).
fof(f167,plain,
~ c(f(a1,a2)),
inference(unit_resulting_resolution,[],[f4,f85,f6]) ).
fof(f85,plain,
~ d(f(a1,f(a1,a2))),
inference(unit_resulting_resolution,[],[f30,f3]) ).
fof(f30,plain,
c(f(a1,f(a1,a2))),
inference(forward_demodulation,[],[f24,f1]) ).
fof(f24,plain,
c(f(f(a1,a1),a2)),
inference(unit_resulting_resolution,[],[f5,f15,f7]) ).
fof(f15,plain,
d(f(a1,a1)),
inference(unit_resulting_resolution,[],[f4,f4,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG011-1 : TPTP v8.2.0. Released v2.7.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sat May 18 22:48:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.21/0.36 % (2471)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (2474)WARNING: value z3 for option sas not known
% 0.21/0.38 % (2472)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (2474)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)
% 0.21/0.38 % (2475)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (2476)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)
% 0.21/0.38 % (2477)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)
% 0.21/0.38 % (2473)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (2478)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)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [4]
% 0.21/0.38 % (2478)First to succeed.
% 0.21/0.38 % (2478)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2471"
% 0.21/0.38 TRYING [4]
% 0.21/0.38 % (2478)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (2478)------------------------------
% 0.21/0.38 % (2478)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (2478)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (2478)Memory used [KB]: 769
% 0.21/0.38 % (2478)Time elapsed: 0.005 s
% 0.21/0.38 % (2478)Instructions burned: 6 (million)
% 0.21/0.38 % (2471)Success in time 0.021 s
%------------------------------------------------------------------------------