%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL057-1 : 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 : n013.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 09:38:17 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.28s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 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 : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f2,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(f4,axiom,
! [X0] : apply(i,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_definition) ).
fof(f5,negated_conjecture,
! [X0] : apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
fof(f19,plain,
! [X0,X1] : apply(apply(apply(s,i),X1),X0) = apply(X0,apply(X1,X0)),
inference(superposition,[],[f1,f4]) ).
fof(f29,plain,
! [X2,X0,X1] : apply(X0,apply(X1,apply(X2,X1))) = apply(apply(apply(s,apply(b,X0)),X2),X1),
inference(superposition,[],[f1,f2]) ).
fof(f71,plain,
! [X0] : apply(X0,f(X0)) != apply(apply(apply(s,i),X0),f(X0)),
inference(superposition,[],[f5,f19]) ).
fof(f149,plain,
! [X0,X1] : apply(apply(X1,apply(X0,X1)),f(apply(X1,apply(X0,X1)))) != apply(apply(apply(apply(s,apply(b,apply(s,i))),X0),X1),f(apply(X1,apply(X0,X1)))),
inference(superposition,[],[f71,f29]) ).
fof(f478,plain,
! [X0] : apply(apply(X0,X0),f(apply(X0,X0))) != apply(apply(apply(apply(s,apply(b,apply(s,i))),i),X0),f(apply(X0,X0))),
inference(superposition,[],[f149,f4]) ).
fof(f525,plain,
$false,
inference(equality_resolution,[],[f478]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL057-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.19 % Computer : n013.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Mon Sep 28 21:30:51 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.22 Running first-order model finding
% 0.11/0.22 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
% 0.19/0.28 % (1603643)Will run a generic schedule for satisfiability detection.
% 0.19/0.28 % (1603659)dis+10_1_sil=32000:sp=arity:random_seed=3267164402:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.28 % (1603657)% WARNING: option uhcvi not known.
% 0.19/0.28 % (1603657)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1299425538:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.28 % (1603656)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3875223046_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.28 % (1603658)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1112102569:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.28 % (1603662)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=797288457:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.28 % (1603660)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3183717115:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.28 % (1603663)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3322132701:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.28 % TRYING [1]
% 0.19/0.28 % TRYING [2]
% 0.19/0.28 % TRYING [3]
% 0.19/0.28 % TRYING [4]
% 0.19/0.28 % (1603659) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1603643-1603659"...
% 0.19/0.28 % (1603659)...printing done.
% 0.19/0.28 % (1603659)Refutation found. Thanks to Tanya!
% 0.19/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.28 % (1603659)------------------------------
% 0.19/0.28 % (1603659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (1603659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (1603659)CaDiCaL version: 2.1.3
% 0.19/0.28 % (1603659)Termination reason: Refutation
% 0.19/0.28 % (1603659)Time elapsed: 0.015 s
% 0.19/0.28 % (1603659)Peak memory usage: 11 MB
% 0.19/0.28 % (1603659)Instructions burned: 47 (million)
% 0.19/0.28 % (1603643)Success in time 0.05 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------