%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM021-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:11:35 PM UTC 2026
% Result : Unsatisfiable 2.64s 1.04s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 20 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X2,X0,X1] :
( less(X2,X1)
| ~ less(X2,X0)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less) ).
fof(f8,axiom,
! [X2,X0,X1] :
( less(X1,X2)
| ~ equalish(add(successor(X0),X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',smaller_number) ).
fof(f9,axiom,
! [X0,X1] :
( equalish(add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0),X1)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_lemma) ).
fof(f10,axiom,
! [X0,X1] :
( less(X0,X1)
| ~ divides(X0,X1)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_only_less_or_equal) ).
fof(f15,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(f16,axiom,
less(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_less_than_c) ).
fof(f17,axiom,
~ less(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_greater_equal_a) ).
fof(f18,negated_conjecture,
divides(c,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',impossible_c_divides_a) ).
fof(f28,plain,
! [X0] : ~ equalish(add(successor(X0),b),a),
inference(resolution,[],[f8,f17]) ).
fof(f47,plain,
! [X0,X1] :
( ~ equalish(add(successor(X1),b),X0)
| ~ equalish(X0,a) ),
inference(resolution,[],[f15,f28]) ).
fof(f66,plain,
! [X0] :
( ~ less(X0,a)
| ~ less(b,X0) ),
inference(resolution,[],[f7,f17]) ).
fof(f100,plain,
! [X0] :
( ~ less(b,X0)
| ~ divides(X0,a)
| equalish(X0,a) ),
inference(resolution,[],[f66,f10]) ).
fof(f106,plain,
! [X0] :
( ~ less(b,X0)
| ~ equalish(X0,a) ),
inference(resolution,[],[f47,f9]) ).
fof(f241,plain,
! [X0] :
( ~ divides(X0,a)
| ~ less(b,X0) ),
inference(forward_subsumption_resolution,[],[f100,f106]) ).
fof(f244,plain,
~ less(b,c),
inference(resolution,[],[f241,f18]) ).
fof(f247,plain,
$false,
inference(forward_subsumption_resolution,[],[f244,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM021-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n004.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 18:39:37 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.38 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.64/1.04 % (3807577)Input is clausal, will run a generic CNF schedule.
% 2.64/1.04 % (3807587)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1695080409:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.64/1.04 % (3807586)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=735024352:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.64/1.04 % (3807585)lrs+10_1_sil=8000:sp=occurrence:random_seed=4066706996:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.64/1.04 % (3807583)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=954962052:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.64/1.04 % (3807588)dis-21_1_sil=8000:lcm=predicate:random_seed=2480262169:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.64/1.04 % (3807582)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4267174053:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.64/1.04 % (3807584)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2301960563:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.64/1.04 % (3807587)First to succeed.
% 2.64/1.04 % (3807587)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3807577"
% 2.64/1.04 % (3807585)Also succeeded, but the first one will report.
% 2.64/1.04 % (3807586)Instruction limit reached!
% 2.64/1.04 % (3807586)------------------------------
% 2.64/1.04 % (3807586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.04 % (3807586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.04 % (3807586)CaDiCaL version: 2.1.3
% 2.64/1.04 % (3807586)Termination reason: Instruction limit
% 2.64/1.04 % (3807586)Termination phase: Saturation
% 2.64/1.04 % (3807586)Time elapsed: 0.066 s
% 2.64/1.04 % (3807586)Peak memory usage: 88 MB
% 2.64/1.04 % (3807586)Instructions burned: 116 (million)
% 2.64/1.04 % (3807588)Instruction limit reached!
% 2.64/1.04 % (3807588)------------------------------
% 2.64/1.04 % (3807588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.04 % (3807588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.04 % (3807588)CaDiCaL version: 2.1.3
% 2.64/1.04 % (3807588)Termination reason: Instruction limit
% 2.64/1.04 % (3807588)Termination phase: Saturation
% 2.64/1.04 % (3807588)Time elapsed: 0.070 s
% 2.64/1.04 % (3807588)Peak memory usage: 88 MB
% 2.64/1.04 % (3807588)Instructions burned: 117 (million)
% 2.64/1.04 % (3807587)Refutation found. Thanks to Tanya!
% 2.64/1.04 % SZS status Unsatisfiable for theBenchmark
% 2.64/1.04 % SZS output start Proof for theBenchmark
% See solution above
% 2.64/1.04 % (3807587)------------------------------
% 2.64/1.04 % (3807587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.04 % (3807587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.04 % (3807587)CaDiCaL version: 2.1.3
% 2.64/1.04 % (3807587)Termination reason: Refutation
% 2.64/1.04 % (3807587)Time elapsed: 0.004 s
% 2.64/1.04 % (3807587)Peak memory usage: 88 MB
% 2.64/1.04 % (3807587)Instructions burned: 8 (million)
% 2.64/1.04 % (3807587)------------------------------
% 2.64/1.04 % (3807587)------------------------------
% 2.64/1.04 % (3807577)Success in time 0.329 s
% 2.64/1.04 % Vampire exiting
%------------------------------------------------------------------------------