%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL059-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:38:18 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.24s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 39 unt; 0 def)
% Number of atoms : 39 ( 38 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : response(response(kestrel,X0),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kestrel_exists) ).
fof(f2,axiom,
! [X0,X1] : response(response(lark,X0),X1) = response(X0,response(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lark_exists) ).
fof(f3,axiom,
! [X0,X1] : response(response(response(lark,lark),X0),X1) = response(response(X0,X0),response(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lark_lemma1) ).
fof(f4,axiom,
! [X0,X1] : response(response(response(response(lark,lark),lark),X0),X1) = response(response(response(X0,X0),response(X0,X0)),response(x2,x2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lark_lemma2) ).
fof(f5,axiom,
response(l2,l2) != l2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lark_not_egocentric) ).
fof(f6,plain,
l2 != response(l2,l2),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
response(lark,lark) = l2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_definition) ).
fof(f8,axiom,
response(l2,lark) = l3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_definition) ).
fof(f9,negated_conjecture,
response(l3,l3) = l3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l3_not_egocentric) ).
fof(f10,plain,
l3 = response(l3,l3),
inference(reorient_equations,[],[f9]) ).
fof(f11,plain,
! [X0] : response(lark,response(X0,X0)) = response(l2,X0),
inference(superposition,[],[f2,f7]) ).
fof(f14,plain,
! [X0,X1] : response(response(lark,X1),response(kestrel,X0)) = response(X1,X0),
inference(superposition,[],[f2,f1]) ).
fof(f22,plain,
response(l2,l3) = response(lark,l3),
inference(superposition,[],[f11,f10]) ).
fof(f28,plain,
! [X0,X1] : response(response(X0,X0),response(X1,X1)) = response(response(l2,X0),X1),
inference(forward_demodulation,[],[f3,f7]) ).
fof(f32,plain,
! [X0] : response(l2,response(X0,X0)) = response(response(l2,lark),X0),
inference(superposition,[],[f28,f7]) ).
fof(f39,plain,
! [X0] : kestrel = response(response(l2,kestrel),X0),
inference(superposition,[],[f28,f1]) ).
fof(f47,plain,
! [X0] : response(l2,response(X0,X0)) = response(l3,X0),
inference(forward_demodulation,[],[f32,f8]) ).
fof(f62,plain,
! [X0,X1] : response(response(response(response(lark,lark),lark),X0),X1) = response(response(l2,response(X0,X0)),x2),
inference(forward_demodulation,[],[f4,f28]) ).
fof(f63,plain,
! [X0,X1] : response(response(l2,response(X0,X0)),x2) = response(response(response(lark,response(lark,lark)),X0),X1),
inference(forward_demodulation,[],[f62,f2]) ).
fof(f64,plain,
! [X0,X1] : response(response(l2,response(X0,X0)),x2) = response(response(response(l2,lark),X0),X1),
inference(forward_demodulation,[],[f63,f11]) ).
fof(f65,plain,
! [X0,X1] : response(response(l2,response(X0,X0)),x2) = response(response(l3,X0),X1),
inference(forward_demodulation,[],[f64,f8]) ).
fof(f74,plain,
! [X0] : response(l3,X0) = response(response(l2,l3),x2),
inference(superposition,[],[f65,f10]) ).
fof(f83,plain,
! [X0] : response(l3,X0) = response(response(lark,l3),x2),
inference(forward_demodulation,[],[f74,f22]) ).
fof(f89,plain,
! [X0] : response(l3,X0) = response(l3,response(x2,x2)),
inference(forward_demodulation,[],[f83,f2]) ).
fof(f96,plain,
! [X0,X1] : response(l3,X0) = response(l3,X1),
inference(superposition,[],[f89,f89]) ).
fof(f103,plain,
! [X0] : l3 = response(l3,X0),
inference(superposition,[],[f96,f10]) ).
fof(f218,plain,
! [X0] : response(response(l3,response(l2,kestrel)),X0) = response(response(l2,kestrel),x2),
inference(superposition,[],[f65,f39]) ).
fof(f222,plain,
! [X0] : kestrel = response(response(l3,response(l2,kestrel)),X0),
inference(forward_demodulation,[],[f218,f39]) ).
fof(f223,plain,
! [X0] : kestrel = response(response(l3,response(x2,x2)),X0),
inference(forward_demodulation,[],[f222,f89]) ).
fof(f224,plain,
! [X0] : kestrel = response(l3,X0),
inference(forward_demodulation,[],[f223,f103]) ).
fof(f225,plain,
kestrel = l3,
inference(superposition,[],[f224,f10]) ).
fof(f286,plain,
! [X0] : l3 = response(l2,response(X0,X0)),
inference(forward_demodulation,[],[f47,f103]) ).
fof(f287,plain,
! [X0] : kestrel = response(l2,response(X0,X0)),
inference(forward_demodulation,[],[f286,f225]) ).
fof(f290,plain,
! [X0] : kestrel = response(l2,X0),
inference(superposition,[],[f287,f1]) ).
fof(f319,plain,
kestrel != l2,
inference(superposition,[],[f6,f290]) ).
fof(f340,plain,
! [X0] : response(lark,X0) = response(l2,response(kestrel,X0)),
inference(superposition,[],[f14,f7]) ).
fof(f355,plain,
! [X0] : kestrel = response(lark,X0),
inference(forward_demodulation,[],[f340,f290]) ).
fof(f496,plain,
kestrel = l2,
inference(superposition,[],[f7,f355]) ).
fof(f514,plain,
$false,
inference(forward_subsumption_resolution,[],[f496,f319]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL059-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.16 % Computer : n003.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 21:33:13 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 Running first-order model finding
% 0.10/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.24 % (2050018)Will run a generic schedule for satisfiability detection.
% 0.10/0.24 % (2050026)dis+10_1_sil=32000:sp=arity:random_seed=2906044296:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.24 % (2050024)% WARNING: option uhcvi not known.
% 0.10/0.24 % (2050026) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2050018-2050026"...
% 0.10/0.24 % (2050024)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=316737205:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.24 % (2050023)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1317662625_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.24 % (2050025)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2517325628:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.24 % (2050026)...printing done.
% 0.10/0.24 % (2050028)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4145201563:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.24 % (2050029)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1357790340:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.24 % TRYING [1]
% 0.10/0.24 % TRYING [2]
% 0.10/0.24 % TRYING [3]
% 0.10/0.24 % (2050026)Refutation found. Thanks to Tanya!
% 0.10/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.25 % (2050026)------------------------------
% 0.10/0.25 % (2050026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.25 % (2050026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.25 % (2050026)CaDiCaL version: 2.1.3
% 0.10/0.25 % (2050026)Termination reason: Refutation
% 0.10/0.25 % (2050026)Time elapsed: 0.006 s
% 0.10/0.25 % (2050026)Peak memory usage: 11 MB
% 0.10/0.25 % (2050026)Instructions burned: 19 (million)
% 0.10/0.25 % (2050018)Success in time 0.037 s
% 0.10/0.25 % Vampire exiting
%------------------------------------------------------------------------------