TSTP Solution File: NUM921_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM921_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:07:12 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 5 unt; 2 typ; 0 def)
% Number of atoms : 21 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 2 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 66 ( 19 atm; 20 fun; 10 num; 17 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 15 !; 2 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(func_def_6,type,
sK0: $int ).
tff(f295,plain,
$false,
inference(subsumption_resolution,[],[f292,f20]) ).
tff(f20,plain,
! [X0: $int] : $less(X0,f(X0)),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ! [X0: $int] : $less(X0,f(X0))
& ~ $less($sum(sK0,$uminus(f(sK0))),0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
tff(f17,plain,
( ? [X1: $int] : ~ $less($sum(X1,$uminus(f(X1))),0)
=> ~ $less($sum(sK0,$uminus(f(sK0))),0) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
( ! [X0: $int] : $less(X0,f(X0))
& ? [X1: $int] : ~ $less($sum(X1,$uminus(f(X1))),0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ! [X0: $int] : $less(X0,f(X0))
=> ! [X1: $int] : $less($sum(X1,$uminus(f(X1))),0) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] : $greater(f(X0),X0)
=> ! [X1: $int] : $less($difference(X1,f(X1)),0) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X0: $int] : $greater(f(X0),X0)
=> ! [X1: $int] : $less($difference(X1,f(X1)),0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f292,plain,
~ $less(sK0,f(sK0)),
inference(resolution,[],[f19,f115]) ).
tff(f115,plain,
! [X2: $int,X3: $int] :
( $less($sum(X3,$uminus(X2)),0)
| ~ $less(X3,X2) ),
inference(superposition,[],[f12,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f19,plain,
~ $less($sum(sK0,$uminus(f(sK0))),0),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM921=1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 09:31:21 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (18576)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.20/0.50 % (18568)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.51 % (18568)First to succeed.
% 0.20/0.52 % (18555)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.52 % (18555)Instruction limit reached!
% 0.20/0.52 % (18555)------------------------------
% 0.20/0.52 % (18555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (18555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (18555)Termination reason: Unknown
% 0.20/0.52 % (18555)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (18555)Memory used [KB]: 895
% 0.20/0.52 % (18555)Time elapsed: 0.002 s
% 0.20/0.52 % (18555)Instructions burned: 2 (million)
% 0.20/0.52 % (18555)------------------------------
% 0.20/0.52 % (18555)------------------------------
% 0.20/0.52 % (18553)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.52 % (18549)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.53 % (18547)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.53 % (18568)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (18568)------------------------------
% 0.20/0.53 % (18568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (18568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (18568)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (18568)Memory used [KB]: 5628
% 0.20/0.53 % (18568)Time elapsed: 0.100 s
% 0.20/0.53 % (18568)Instructions burned: 13 (million)
% 0.20/0.53 % (18568)------------------------------
% 0.20/0.53 % (18568)------------------------------
% 0.20/0.53 % (18545)Success in time 0.168 s
%------------------------------------------------------------------------------