TSTP Solution File: COL002-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL002-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 04:45:28 EDT 2024
% Result : Unsatisfiable 77.20s 11.41s
% Output : Refutation 77.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 8 ( 7 unt; 0 def)
% Number of atoms : 9 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f77508,plain,
$false,
inference(unit_resulting_resolution,[],[f6,f1522,f5]) ).
fof(f5,axiom,
! [X3] :
( apply(fixed_pt,X3) != X3
| fixed_point(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',weak_fixed_point) ).
fof(f1522,plain,
! [X2,X0,X1] : apply(X0,apply(apply(X1,X2),X2)) = apply(apply(apply(s,apply(c,apply(b,X0))),X1),X2),
inference(superposition,[],[f19,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
fof(f19,plain,
! [X2,X0,X1] : apply(apply(X0,apply(X2,X1)),X1) = apply(apply(apply(s,apply(c,X0)),X2),X1),
inference(superposition,[],[f1,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] : apply(apply(apply(c,X0),X1),X2) = apply(apply(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_definition) ).
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition) ).
fof(f6,axiom,
! [X0] : ~ fixed_point(apply(apply(apply(s,apply(c,apply(b,X0))),apply(s,apply(c,apply(b,X0)))),apply(s,apply(c,apply(b,X0))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_weak_fixed_point) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : COL002-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n011.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 : Fri May 3 18:26:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (3587)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (3590)WARNING: value z3 for option sas not known
% 0.15/0.38 % (3589)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (3591)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (3593)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)
% 0.15/0.38 % (3590)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)
% 0.15/0.38 % (3594)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)
% 0.15/0.38 % (3592)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (3588)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.40 TRYING [4]
% 0.15/0.40 TRYING [3]
% 0.21/0.43 TRYING [5]
% 0.21/0.44 TRYING [4]
% 0.21/0.54 TRYING [6]
% 1.94/0.73 TRYING [5]
% 3.07/0.82 TRYING [7]
% 7.75/1.46 TRYING [8]
% 7.88/1.48 TRYING [1]
% 7.88/1.48 TRYING [2]
% 7.88/1.49 TRYING [3]
% 7.88/1.50 TRYING [4]
% 8.25/1.54 TRYING [5]
% 8.81/1.67 TRYING [6]
% 10.81/1.97 TRYING [7]
% 16.38/2.78 TRYING [8]
% 18.57/3.06 TRYING [6]
% 18.57/3.07 TRYING [9]
% 32.62/5.11 TRYING [9]
% 39.49/6.02 TRYING [10]
% 64.51/9.65 TRYING [10]
% 76.99/11.40 % (3594)First to succeed.
% 76.99/11.40 % (3594)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3587"
% 77.20/11.41 % (3594)Refutation found. Thanks to Tanya!
% 77.20/11.41 % SZS status Unsatisfiable for theBenchmark
% 77.20/11.41 % SZS output start Proof for theBenchmark
% See solution above
% 77.20/11.41 % (3594)------------------------------
% 77.20/11.41 % (3594)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 77.20/11.41 % (3594)Termination reason: Refutation
% 77.20/11.41
% 77.20/11.41 % (3594)Memory used [KB]: 103369
% 77.20/11.41 % (3594)Time elapsed: 11.008 s
% 77.20/11.41 % (3594)Instructions burned: 23829 (million)
% 77.20/11.41 % (3587)Success in time 10.932 s
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