%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL035-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 09:38:13 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.36s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : apply(apply(l,X0),X1) = apply(X0,apply(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l_definition) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(w,X0),X1) = apply(apply(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_definition) ).
fof(f3,axiom,
! [X2,X0,X1] : apply(apply(apply(q,X0),X1),X2) = apply(X1,apply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_definition) ).
fof(f4,negated_conjecture,
! [X0] : apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).
fof(f44,plain,
! [X0,X1] : apply(apply(w,apply(q,X0)),X1) = apply(X1,apply(X0,X1)),
inference(superposition,[],[f3,f2]) ).
fof(f1102,plain,
! [X0] : apply(X0,f(X0)) != apply(apply(w,apply(q,X0)),f(X0)),
inference(superposition,[],[f4,f44]) ).
fof(f1147,plain,
! [X0] : apply(apply(X0,X0),f(apply(X0,X0))) != apply(apply(w,apply(apply(l,q),X0)),f(apply(X0,X0))),
inference(superposition,[],[f1102,f1]) ).
fof(f1154,plain,
! [X0,X1] : apply(apply(X0,apply(X1,apply(apply(q,X1),X0))),f(apply(X0,apply(X1,apply(apply(q,X1),X0))))) != apply(apply(w,apply(apply(l,q),apply(apply(q,X1),X0))),f(apply(X0,apply(X1,apply(apply(q,X1),X0))))),
inference(superposition,[],[f1147,f3]) ).
fof(f1415,plain,
$false,
inference(equality_resolution,[],[f1154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL035-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n005.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 21:30:02 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.24 Running first-order model finding
% 0.07/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.36 % (1205545)Will run a generic schedule for satisfiability detection.
% 0.23/0.36 % (1205552)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2243572277:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.23/0.36 % (1205551)% WARNING: option uhcvi not known.
% 0.23/0.36 % (1205550)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=232663657_3000 on theBenchmark for (3000ds/0Mi)
% 0.23/0.36 % (1205551)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4234359896:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.23/0.36 % (1205553)dis+10_1_sil=32000:sp=arity:random_seed=3647992438:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.23/0.36 % (1205554)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2682143027:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.23/0.36 % (1205555)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2089327662:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.23/0.36 % TRYING [1]
% 0.23/0.36 % TRYING [2]
% 0.23/0.36 % TRYING [3]
% 0.23/0.36 % TRYING [4]
% 0.23/0.36 % (1205556)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=782900435:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.23/0.36 % (1205552) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1205545-1205552"...
% 0.23/0.36 % (1205552)...printing done.
% 0.23/0.36 % (1205552)Refutation found. Thanks to Tanya!
% 0.23/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.36 % (1205552)------------------------------
% 0.23/0.36 % (1205552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.36 % (1205552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.36 % (1205552)CaDiCaL version: 2.1.3
% 0.23/0.36 % (1205552)Termination reason: Refutation
% 0.23/0.36 % (1205552)Time elapsed: 0.080 s
% 0.23/0.36 % (1205552)Peak memory usage: 13 MB
% 0.23/0.36 % (1205552)Instructions burned: 157 (million)
% 0.23/0.36 % (1205545)Success in time 0.105 s
% 0.23/0.36 % Vampire exiting
%------------------------------------------------------------------------------