TSTP Solution File: COL042-8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL042-8 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 04:45:38 EDT 2024
% Result : Unsatisfiable 78.66s 11.60s
% Output : Refutation 78.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f151129,plain,
$false,
inference(trivial_inequality_removal,[],[f151128]) ).
fof(f151128,plain,
apply(strong_fixed_point,fixed_pt) != apply(strong_fixed_point,fixed_pt),
inference(superposition,[],[f4,f150391]) ).
fof(f150391,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(X0,apply(strong_fixed_point,X0)),
inference(forward_demodulation,[],[f149988,f467]) ).
fof(f467,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(apply(w1,apply(apply(b,apply(b,X0)),w1)),w1),
inference(superposition,[],[f456,f20]) ).
fof(f20,plain,
! [X2,X0,X1] : apply(apply(w1,X2),apply(apply(b,X0),X1)) = apply(apply(X0,apply(X1,X2)),X2),
inference(superposition,[],[f2,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(w1,X0),X1) = apply(apply(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w1_definition) ).
fof(f456,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,X0)))),
inference(forward_demodulation,[],[f448,f1]) ).
fof(f448,plain,
! [X0] : apply(strong_fixed_point,X0) = apply(apply(w1,w1),apply(apply(apply(b,apply(b,w1)),b),apply(b,X0))),
inference(superposition,[],[f128,f1]) ).
fof(f128,plain,
! [X0] : apply(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),b)),apply(b,X0)) = apply(strong_fixed_point,X0),
inference(superposition,[],[f1,f3]) ).
fof(f3,axiom,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),b))),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',strong_fixed_point) ).
fof(f149988,plain,
! [X0] : apply(apply(w1,apply(apply(b,apply(b,X0)),w1)),w1) = apply(X0,apply(apply(w1,apply(apply(b,apply(b,X0)),w1)),w1)),
inference(superposition,[],[f21,f23846]) ).
fof(f23846,plain,
! [X0,X1] : apply(X1,apply(apply(w1,X0),w1)) = apply(apply(apply(b,X1),apply(w1,X0)),X0),
inference(superposition,[],[f23316,f5]) ).
fof(f5,plain,
! [X0] : apply(apply(w1,X0),w1) = apply(apply(X0,X0),X0),
inference(superposition,[],[f2,f2]) ).
fof(f23316,plain,
! [X0,X1] : apply(X1,apply(apply(X0,X0),X0)) = apply(apply(apply(b,X1),apply(w1,X0)),X0),
inference(superposition,[],[f6756,f20]) ).
fof(f6756,plain,
! [X0,X1] : apply(X1,apply(apply(X0,X0),X0)) = apply(apply(w1,X0),apply(apply(b,apply(b,X1)),w1)),
inference(superposition,[],[f287,f2]) ).
fof(f287,plain,
! [X2,X0,X1] : apply(X0,apply(apply(X1,X2),X2)) = apply(apply(w1,X2),apply(apply(b,apply(b,X0)),X1)),
inference(superposition,[],[f20,f1]) ).
fof(f21,plain,
! [X0,X1] : apply(apply(w1,apply(apply(b,X0),X1)),w1) = apply(apply(X0,apply(X1,apply(apply(b,X0),X1))),apply(apply(b,X0),X1)),
inference(superposition,[],[f5,f1]) ).
fof(f4,axiom,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COL042-8 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 18:26:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (21568)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (21571)WARNING: value z3 for option sas not known
% 0.15/0.37 % (21570)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (21572)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (21571)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)
% 0.15/0.37 % (21574)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)
% 0.15/0.37 % (21573)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)
% 0.15/0.37 % (21569)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (21575)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)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4]
% 0.21/0.42 TRYING [5]
% 0.21/0.42 TRYING [5]
% 0.21/0.51 TRYING [6]
% 0.21/0.52 TRYING [6]
% 4.16/0.96 TRYING [7]
% 4.68/1.02 TRYING [7]
% 7.90/1.47 TRYING [1]
% 7.90/1.47 TRYING [2]
% 7.90/1.47 TRYING [3]
% 7.90/1.48 TRYING [4]
% 7.90/1.49 TRYING [5]
% 8.29/1.57 TRYING [6]
% 12.23/2.13 TRYING [7]
% 20.98/3.37 TRYING [8]
% 23.78/3.75 TRYING [8]
% 43.32/6.53 TRYING [8]
% 78.66/11.59 % (21571)First to succeed.
% 78.66/11.59 % (21571)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21568"
% 78.66/11.60 % (21571)Refutation found. Thanks to Tanya!
% 78.66/11.60 % SZS status Unsatisfiable for theBenchmark
% 78.66/11.60 % SZS output start Proof for theBenchmark
% See solution above
% 78.66/11.60 % (21571)------------------------------
% 78.66/11.60 % (21571)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 78.66/11.60 % (21571)Termination reason: Refutation
% 78.66/11.60
% 78.66/11.60 % (21571)Memory used [KB]: 96118
% 78.66/11.60 % (21571)Time elapsed: 11.223 s
% 78.66/11.60 % (21571)Instructions burned: 60680 (million)
% 78.66/11.60 % (21568)Success in time 11.116 s
%------------------------------------------------------------------------------