TSTP Solution File: COL001-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL001-1 : TPTP v8.2.0. Released v1.0.0.
% 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 : Mon May 20 19:05:56 EDT 2024
% Result : Unsatisfiable 0.13s 0.40s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2037,plain,
$false,
inference(unit_resulting_resolution,[],[f15,f2019]) ).
fof(f2019,plain,
! [X0,X1] : apply(X1,X0) != apply(apply(apply(s,apply(k,combinator)),X1),X0),
inference(superposition,[],[f1839,f8]) ).
fof(f8,plain,
! [X2,X0,X1] : apply(apply(apply(s,X2),apply(k,X0)),X1) = apply(apply(X2,X1),X0),
inference(superposition,[],[f1,f2]) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(k,X0),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_definition) ).
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_definition) ).
fof(f1839,plain,
! [X0,X1] : apply(X1,X0) != apply(apply(apply(s,apply(s,apply(k,combinator))),apply(k,X0)),X1),
inference(superposition,[],[f1465,f2]) ).
fof(f1465,plain,
! [X0,X1] : apply(X0,apply(X1,X0)) != apply(apply(apply(s,apply(s,apply(k,combinator))),X1),X0),
inference(superposition,[],[f3,f28]) ).
fof(f28,plain,
! [X2,X0,X1] : apply(apply(apply(s,apply(s,apply(k,X0))),X2),X1) = apply(X0,apply(X1,apply(X2,X1))),
inference(superposition,[],[f5,f1]) ).
fof(f5,plain,
! [X2,X0,X1] : apply(X0,apply(X2,X1)) = apply(apply(apply(s,apply(k,X0)),X2),X1),
inference(superposition,[],[f1,f2]) ).
fof(f3,axiom,
! [X1] : apply(combinator,X1) != X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).
fof(f15,plain,
! [X2,X0,X1] : apply(apply(apply(s,X2),apply(apply(s,k),X0)),X1) = apply(apply(X2,X1),X1),
inference(superposition,[],[f1,f11]) ).
fof(f11,plain,
! [X0,X1] : apply(apply(apply(s,k),X1),X0) = X0,
inference(superposition,[],[f1,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : COL001-1 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sat May 18 13:24:52 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % (553)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.30 % (556)WARNING: value z3 for option sas not known
% 0.13/0.30 % (554)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.30 % (555)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.30 % (558)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)
% 0.13/0.30 % (557)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.30 % (556)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)
% 0.13/0.30 % (559)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)
% 0.13/0.30 % (560)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)
% 0.13/0.30 TRYING [1]
% 0.13/0.30 TRYING [2]
% 0.13/0.30 TRYING [1]
% 0.13/0.30 TRYING [2]
% 0.13/0.30 TRYING [3]
% 0.13/0.31 TRYING [4]
% 0.13/0.31 TRYING [3]
% 0.13/0.31 TRYING [5]
% 0.13/0.31 TRYING [4]
% 0.13/0.32 TRYING [6]
% 0.13/0.34 TRYING [5]
% 0.13/0.36 TRYING [7]
% 0.13/0.40 % (560)First to succeed.
% 0.13/0.40 % (560)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-553"
% 0.13/0.40 % (560)Refutation found. Thanks to Tanya!
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.40 % (560)------------------------------
% 0.13/0.40 % (560)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.40 % (560)Termination reason: Refutation
% 0.13/0.40
% 0.13/0.40 % (560)Memory used [KB]: 3092
% 0.13/0.40 % (560)Time elapsed: 0.094 s
% 0.13/0.40 % (560)Instructions burned: 294 (million)
% 0.13/0.40 % (553)Success in time 0.103 s
%------------------------------------------------------------------------------