TSTP Solution File: COL021-1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : COL021-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% 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 Jun 24 04:50:59 EDT 2024
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 15 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 3 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,plain,
$false,
inference(unit_resulting_resolution,[],[f9,f8,f14,f13]) ).
fof(f13,plain,
! [X2,X0,X1] :
( ~ sQ0_eqProxy(X1,X2)
| ~ sQ0_eqProxy(X0,X1)
| sQ0_eqProxy(X0,X2) ),
inference(equality_proxy_axiom,[],[f5]) ).
fof(f5,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f14,plain,
! [X1] : ~ sQ0_eqProxy(X1,apply(combinator,X1)),
inference(forward_literal_rewriting,[],[f6,f12]) ).
fof(f12,plain,
! [X0,X1] :
( ~ sQ0_eqProxy(X0,X1)
| sQ0_eqProxy(X1,X0) ),
inference(equality_proxy_axiom,[],[f5]) ).
fof(f6,plain,
! [X1] : ~ sQ0_eqProxy(apply(combinator,X1),X1),
inference(equality_proxy_replacement,[],[f4,f5]) ).
fof(f4,axiom,
! [X1] : apply(combinator,X1) != X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f8,plain,
! [X2,X0,X1] : sQ0_eqProxy(apply(apply(apply(b,X0),X1),X2),apply(X0,apply(X1,X2))),
inference(equality_proxy_replacement,[],[f1,f5]) ).
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f9,plain,
! [X0] : sQ0_eqProxy(apply(m,X0),apply(X0,X0)),
inference(equality_proxy_replacement,[],[f2,f5]) ).
fof(f2,axiom,
! [X0] : apply(m,X0) = apply(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COL021-1 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jun 18 15:47:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.21/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.21/0.36 Running first-order theorem proving
% 0.21/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.42 % (28428)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (28434)lrs+10_1:1024_sil=64000:i=305:to=lpo:drc=encompass:bd=off_0 on theBenchmark for (2999ds/305Mi)
% 0.21/0.42 % (28428)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (28431)dis+10_1:64_sil=256000:i=105:bd=off:fd=off_0 on theBenchmark for (2999ds/105Mi)
% 0.21/0.42 % (28428)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (28435)lrs+10_1:32_slsqr=1,2:drc=encompass:sil=2000:slsqc=1:slsq=on:i=729:slsql=off:fd=preordered:lwlo=on_0 on theBenchmark for (2999ds/729Mi)
% 0.21/0.43 % (28428)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (28432)lrs+10_1:1024_drc=encompass:sil=2000:i=149_0 on theBenchmark for (2999ds/149Mi)
% 0.21/0.43 % (28428)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (28433)lrs+10_1:1_sil=2000:sos=on:urr=on:st=5.0:i=149:ep=RSTC:ss=axioms:flr=on:fsr=off:br=off_0 on theBenchmark for (2999ds/149Mi)
% 0.21/0.43 % (28428)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (28430)dis+10_1:28_drc=encompass:sil=256000:tgt=ground:i=146946:dpc=on:bs=on_0 on theBenchmark for (2999ds/146946Mi)
% 0.21/0.43 % (28433)First to succeed.
% 0.21/0.43 % (28433)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28428"
% 0.21/0.43 % (28428)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (28433)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.43 % (28433)------------------------------
% 0.21/0.43 % (28433)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.43 % (28433)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.43 % (28433)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (28433)Memory used [KB]: 764
% 0.21/0.43 % (28433)Time elapsed: 0.004 s
% 0.21/0.43 % (28433)Instructions burned: 2 (million)
% 0.21/0.43 % (28433)------------------------------
% 0.21/0.43 % (28433)------------------------------
% 0.21/0.43 % (28428)Success in time 0.065 s
%------------------------------------------------------------------------------