%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL044-1 : 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 09:38:15 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.41s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(n,X0),X1),X2) = apply(apply(apply(X0,X2),X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_definition) ).
fof(f3,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(f11,plain,
! [X2,X0,X1] : apply(apply(apply(n,apply(b,X0)),X2),X1) = apply(apply(X0,apply(X1,X2)),X1),
inference(superposition,[],[f2,f1]) ).
fof(f14,plain,
! [X0,X1] : apply(X0,apply(X1,X0)) = apply(apply(apply(n,b),X1),X0),
inference(superposition,[],[f2,f1]) ).
fof(f40,plain,
! [X0] : apply(X0,f(X0)) != apply(apply(apply(n,b),X0),f(X0)),
inference(superposition,[],[f3,f14]) ).
fof(f82,plain,
! [X2,X0,X1] : apply(X0,apply(apply(X1,X2),X1)) = apply(apply(apply(n,apply(b,apply(b,X0))),X2),X1),
inference(superposition,[],[f11,f1]) ).
fof(f1765,plain,
! [X0,X1] : apply(apply(apply(X1,X0),X1),f(apply(apply(X1,X0),X1))) != apply(apply(apply(apply(n,apply(b,apply(b,apply(n,b)))),X0),X1),f(apply(apply(X1,X0),X1))),
inference(superposition,[],[f40,f82]) ).
fof(f2134,plain,
$false,
inference(equality_resolution,[],[f1765]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL044-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 % Computer : n005.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 21:30:32 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.27 Running first-order model finding
% 0.10/0.27 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
% 0.24/0.41 % (1207289)Will run a generic schedule for satisfiability detection.
% 0.24/0.41 % (1207295)% WARNING: option uhcvi not known.
% 0.24/0.41 % (1207295)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1370294477:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.24/0.41 % (1207297)dis+10_1_sil=32000:sp=arity:random_seed=2128902140:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.24/0.41 % (1207298)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2882756372:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.24/0.41 % (1207294)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3157370843_3000 on theBenchmark for (3000ds/0Mi)
% 0.24/0.41 % (1207296)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1146321919:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.24/0.41 % (1207299)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4212050854:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.24/0.41 % (1207300)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=78981374:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.24/0.41 % TRYING [1]
% 0.24/0.41 % TRYING [2]
% 0.24/0.41 % TRYING [3]
% 0.24/0.41 % TRYING [4]
% 0.24/0.41 % (1207297)Instruction limit reached!
% 0.24/0.41 % (1207297)------------------------------
% 0.24/0.41 % (1207297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.41 % (1207297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.41 % (1207297)CaDiCaL version: 2.1.3
% 0.24/0.41 % (1207297)Termination reason: Instruction limit
% 0.24/0.41 % (1207297)Termination phase: Saturation
% 0.24/0.41 % (1207297)Time elapsed: 0.086 s
% 0.24/0.41 % (1207297)Peak memory usage: 12 MB
% 0.24/0.41 % (1207297)Instructions burned: 103 (million)
% 0.24/0.41 % (1207295) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1207289-1207295"...
% 0.24/0.41 % (1207295)...printing done.
% 0.24/0.41 % (1207295)Refutation found. Thanks to Tanya!
% 0.24/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.41 % (1207295)------------------------------
% 0.24/0.41 % (1207295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.41 % (1207295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.41 % (1207295)CaDiCaL version: 2.1.3
% 0.24/0.41 % (1207295)Termination reason: Refutation
% 0.24/0.41 % (1207295)Time elapsed: 0.105 s
% 0.24/0.41 % (1207295)Peak memory usage: 13 MB
% 0.24/0.41 % (1207295)Instructions burned: 209 (million)
% 0.24/0.41 % (1207289)Success in time 0.13 s
% 0.24/0.41 % Vampire exiting
%------------------------------------------------------------------------------