%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM024-1 : 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 : n009.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 12:17:50 PM UTC 2026
% Result : Unsatisfiable 0.37s 0.47s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : equalish(add(X0,n0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-0.ax',adding_zero) ).
fof(f9,axiom,
! [X0,X1] :
( equalish(add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0),X1)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-1.ax',less_lemma) ).
fof(f11,axiom,
! [X0,X1] :
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| ~ equalish(X0,X1)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ equalish(add(X0,X1),add(X2,X1))
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_substitution) ).
fof(f14,axiom,
! [X0,X1] : equalish(add(X0,X1),add(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_plus) ).
fof(f15,axiom,
less(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impossible_a_is_less_than_itself) ).
fof(f16,negated_conjecture,
! [X0] : ~ equalish(successor(X0),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_contradiction) ).
fof(f18,plain,
! [X0] : equalish(X0,add(X0,n0)),
inference(resolution,[],[f11,f1]) ).
fof(f38,plain,
! [X0,X1] :
( equalish(X0,add(X1,n0))
| ~ equalish(X0,X1) ),
inference(resolution,[],[f12,f18]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ equalish(X0,add(X1,X2))
| equalish(X0,add(X2,X1)) ),
inference(resolution,[],[f12,f14]) ).
fof(f182,plain,
! [X0,X1] :
( equalish(X0,add(n0,X1))
| ~ equalish(X0,X1) ),
inference(resolution,[],[f38,f39]) ).
fof(f489,plain,
! [X0,X1] :
( ~ equalish(add(X0,X1),X1)
| equalish(X0,n0) ),
inference(resolution,[],[f182,f13]) ).
fof(f974,plain,
! [X0] :
( equalish(successor(predecessor_of_1st_minus_2nd(X0,X0)),n0)
| ~ less(X0,X0) ),
inference(resolution,[],[f489,f9]) ).
fof(f994,plain,
! [X0] : ~ less(X0,X0),
inference(forward_subsumption_resolution,[],[f974,f16]) ).
fof(f1002,plain,
$false,
inference(resolution,[],[f994,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM024-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.36 % Computer : n009.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 27 18:40:00 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 0.37/0.47 % (2325758)Will run a generic schedule for satisfiability detection.
% 0.37/0.47 % (2325768)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3815157707:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.37/0.47 % (2325763)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1974331928_2999 on theBenchmark for (2999ds/0Mi)
% 0.37/0.47 % (2325769)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2991500273:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.37/0.47 % (2325765)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=505689959:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.37/0.47 % (2325766)dis+10_1_sil=32000:sp=arity:random_seed=3239572652:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.37/0.47 % (2325767)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3283121298:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.37/0.47 % TRYING [1]
% 0.37/0.47 % (2325764)% WARNING: option uhcvi not known.
% 0.37/0.47 % TRYING [2]
% 0.37/0.47 % TRYING [3]
% 0.37/0.47 % TRYING [4]
% 0.37/0.47 % (2325764)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2180668664:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.37/0.47 % TRYING [5]
% 0.37/0.47 % (2325766) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2325758-2325766"...
% 0.37/0.47 % (2325766)...printing done.
% 0.37/0.47 % (2325766)Refutation found. Thanks to Tanya!
% 0.37/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.37/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.47 % (2325766)------------------------------
% 0.37/0.47 % (2325766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.47 % (2325766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.47 % (2325766)CaDiCaL version: 2.1.3
% 0.37/0.47 % (2325766)Termination reason: Refutation
% 0.37/0.47 % (2325766)Time elapsed: 0.019 s
% 0.37/0.47 % (2325766)Peak memory usage: 11 MB
% 0.37/0.47 % (2325766)Instructions burned: 28 (million)
% 0.37/0.47 % (2325758)Success in time 0.063 s
% 0.37/0.47 % Vampire exiting
%------------------------------------------------------------------------------