%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM025-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 12:17:51 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X2,X0,X1] :
( ~ less(X0,X1)
| ~ less(X2,X0)
| less(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-1.ax',transitivity_of_less) ).
fof(f14,axiom,
! [X0] : ~ less(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_number_less_than_itself) ).
fof(f15,axiom,
less(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_less_than_b) ).
fof(f16,negated_conjecture,
less(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_not_less_than_a) ).
fof(f17,plain,
! [X2,X0,X1] :
( ~ less(X2,X1)
| less(X2,X0)
| less(X0,X1) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f20,plain,
! [X0] : less(X0,X0),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f21,plain,
~ less(a,b),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f22,plain,
~ less(b,a),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f42,plain,
! [X0,X1] :
( less(X0,X1)
| less(X1,X0) ),
inference(resolution,[],[f17,f20]) ).
fof(f45,plain,
less(a,b),
inference(resolution,[],[f42,f22]) ).
fof(f48,plain,
$false,
inference(forward_subsumption_resolution,[],[f45,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM025-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n017.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 18:35:35 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.19/0.46 % (2873480)Will run a generic schedule for satisfiability detection.
% 0.19/0.46 % (2873485)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=923852233_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.46 % TRYING [1]
% 0.19/0.46 % TRYING [2]
% 0.19/0.46 % TRYING [3]
% 0.19/0.46 % TRYING [4]
% 0.19/0.46 % (2873486)% WARNING: option uhcvi not known.
% 0.19/0.46 % TRYING [5]
% 0.19/0.46 % (2873486)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3649118739:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.46 % (2873487)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=376137431:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.46 % (2873490)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1443277139:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.46 % (2873488)dis+10_1_sil=32000:sp=arity:random_seed=3592522467:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.46 % (2873489)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3659536371:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.46 % (2873491)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4077566576:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.46 % (2873490) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2873480-2873490"...
% 0.19/0.46 % (2873488) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2873480-2873488"...
% 0.19/0.46 % (2873486) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2873480-2873486"...
% 0.19/0.46 % (2873489) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2873480-2873489"...
% 0.19/0.46 % (2873487) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2873480-2873487"...
% 0.19/0.46 % (2873491) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2873480-2873491"...
% 0.19/0.46 % (2873488)...printing done.
% 0.19/0.46 % (2873490)...printing done.
% 0.19/0.46 % (2873486)...printing done.
% 0.19/0.46 % (2873489)...printing done.
% 0.19/0.46 % (2873487)...printing done.
% 0.19/0.46 % (2873491)...printing done.
% 0.19/0.46 % (2873486)Refutation found. Thanks to Tanya!
% 0.19/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46 % (2873486)------------------------------
% 0.19/0.46 % (2873486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.46 % (2873486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.46 % (2873486)CaDiCaL version: 2.1.3
% 0.19/0.46 % (2873486)Termination reason: Refutation
% 0.19/0.46 % (2873486)Time elapsed: 0.001 s
% 0.19/0.46 % (2873486)Peak memory usage: 11 MB
% 0.19/0.46 % (2873486)Instructions burned: 1 (million)
% 0.19/0.46 % (2873480)Success in time 0.034 s
% 0.19/0.46 % Vampire exiting
%------------------------------------------------------------------------------