%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ANA140_1 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 09:31:34 AM UTC 2026
% Result : Theorem 0.23s 0.32s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 82 ( 5 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 102 ( 38 ~; 22 |; 24 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 255 ( 76 atm; 110 fun; 50 num; 19 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 12 !; 7 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $real ).
tff(func_def_6,type,
sK0: $real ).
tff(func_def_7,type,
sK1: $real > $real ).
tff(f1,conjecture,
! [X0: $real] :
( $less(0/1,X0)
=> ? [X1: $real] :
( $less(0/1,X1)
& ! [X2: $real] :
( ( ( X2 != a )
& ( $greatereq($difference(X2,a),0/1)
=> $less($difference(X2,a),X1) )
& ( ~ $greatereq($difference(X2,a),0/1)
=> $less($uminus($difference(X2,a)),X1) ) )
=> ( ( $greatereq($difference(X2,a),0/1)
=> $less($difference(X2,a),X0) )
& ( ~ $greatereq($difference(X2,a),0/1)
=> $less($uminus($difference(X2,a)),X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_1) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( $less(0/1,X0)
=> ? [X1: $real] :
( $less(0/1,X1)
& ! [X2: $real] :
( ( ( X2 != a )
& ( $greatereq($difference(X2,a),0/1)
=> $less($difference(X2,a),X1) )
& ( ~ $greatereq($difference(X2,a),0/1)
=> $less($uminus($difference(X2,a)),X1) ) )
=> ( ( $greatereq($difference(X2,a),0/1)
=> $less($difference(X2,a),X0) )
& ( ~ $greatereq($difference(X2,a),0/1)
=> $less($uminus($difference(X2,a)),X0) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X0: $real] :
( $less(0/1,X0)
=> ? [X1: $real] :
( $less(0/1,X1)
& ! [X2: $real] :
( ( ( X2 != a )
& ( ~ $less($sum(X2,$uminus(a)),0/1)
=> $less($sum(X2,$uminus(a)),X1) )
& ( $less($sum(X2,$uminus(a)),0/1)
=> $less($uminus($sum(X2,$uminus(a))),X1) ) )
=> ( ( ~ $less($sum(X2,$uminus(a)),0/1)
=> $less($sum(X2,$uminus(a)),X0) )
& ( $less($sum(X2,$uminus(a)),0/1)
=> $less($uminus($sum(X2,$uminus(a))),X0) ) ) ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f15,plain,
? [X0: $real] :
( ! [X1: $real] :
( ~ $less(0/1,X1)
| ? [X2: $real] :
( ( ( ~ $less($sum(X2,$uminus(a)),X0)
& ~ $less($sum(X2,$uminus(a)),0/1) )
| ( ~ $less($uminus($sum(X2,$uminus(a))),X0)
& $less($sum(X2,$uminus(a)),0/1) ) )
& ( X2 != a )
& ( $less($sum(X2,$uminus(a)),X1)
| $less($sum(X2,$uminus(a)),0/1) )
& ( $less($uminus($sum(X2,$uminus(a))),X1)
| ~ $less($sum(X2,$uminus(a)),0/1) ) ) )
& $less(0/1,X0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f16,plain,
? [X0: $real] :
( ! [X1: $real] :
( ~ $less(0/1,X1)
| ? [X2: $real] :
( ( ( ~ $less($sum(X2,$uminus(a)),X0)
& ~ $less($sum(X2,$uminus(a)),0/1) )
| ( ~ $less($uminus($sum(X2,$uminus(a))),X0)
& $less($sum(X2,$uminus(a)),0/1) ) )
& ( X2 != a )
& ( $less($sum(X2,$uminus(a)),X1)
| $less($sum(X2,$uminus(a)),0/1) )
& ( $less($uminus($sum(X2,$uminus(a))),X1)
| ~ $less($sum(X2,$uminus(a)),0/1) ) ) )
& $less(0/1,X0) ),
inference(flattening,[],[f15]) ).
tff(f17,plain,
! [X1: $real] :
( ~ $less($uminus($sum(sK1(X1),$uminus(a))),sK0)
| ~ $less($sum(sK1(X1),$uminus(a)),0/1)
| ~ $less(0/1,X1) ),
inference(cnf_transformation,[],[f16]) ).
tff(f19,plain,
! [X1: $real] :
( ~ $less($sum(sK1(X1),$uminus(a)),sK0)
| $less($sum(sK1(X1),$uminus(a)),0/1)
| ~ $less(0/1,X1) ),
inference(cnf_transformation,[],[f16]) ).
tff(f20,plain,
! [X1: $real] :
( $less($sum(sK1(X1),$uminus(a)),0/1)
| $less($sum(sK1(X1),$uminus(a)),X1)
| ~ $less(0/1,X1) ),
inference(cnf_transformation,[],[f16]) ).
tff(f21,plain,
! [X1: $real] :
( ~ $less(0/1,X1)
| $less($uminus($sum(sK1(X1),$uminus(a))),X1)
| ~ $less($sum(sK1(X1),$uminus(a)),0/1) ),
inference(cnf_transformation,[],[f16]) ).
tff(f23,plain,
$less(0/1,sK0),
inference(cnf_transformation,[],[f16]) ).
tff(f24,plain,
( $less($sum(sK1(sK0),$uminus(a)),0/1)
| ~ $less(0/1,sK0)
| $less($sum(sK1(sK0),$uminus(a)),0/1)
| ~ $less(0/1,sK0) ),
inference(resolution,[],[f20,f19]) ).
tff(f26,plain,
( $less($sum(sK1(sK0),$uminus(a)),0/1)
| ~ $less(0/1,sK0) ),
inference(duplicate_literal_removal,[],[f24]) ).
tff(f27,plain,
$less($sum(sK1(sK0),$uminus(a)),0/1),
inference(forward_subsumption_resolution,[],[f26,f23]) ).
tff(f28,plain,
( $less($uminus($sum(sK1(sK0),$uminus(a))),sK0)
| ~ $less($sum(sK1(sK0),$uminus(a)),0/1) ),
inference(resolution,[],[f21,f23]) ).
tff(f29,plain,
$less($uminus($sum(sK1(sK0),$uminus(a))),sK0),
inference(forward_subsumption_resolution,[],[f28,f27]) ).
tff(f31,plain,
( ~ $less($sum(sK1(sK0),$uminus(a)),0/1)
| ~ $less(0/1,sK0) ),
inference(resolution,[],[f29,f17]) ).
tff(f32,plain,
~ $less(0/1,sK0),
inference(forward_subsumption_resolution,[],[f31,f27]) ).
tff(f34,plain,
$false,
inference(forward_subsumption_resolution,[],[f32,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA140_1 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 % Computer : n002.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 20:41:37 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.23/0.29 Running first-order model finding
% 0.23/0.29 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.32 % (716780)Will run a generic schedule for satisfiability detection.
% 0.23/0.32 % (716786)% WARNING: option uhcvi not known.
% 0.23/0.32 % (716786)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=145969036:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.23/0.32 % (716786) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-716780-716786"...
% 0.23/0.32 % (716786)...printing done.
% 0.23/0.32 % (716786)Refutation found. Thanks to Tanya!
% 0.23/0.32 % SZS status Theorem for theBenchmark
% 0.23/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.32 % (716786)------------------------------
% 0.23/0.32 % (716786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (716786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (716786)CaDiCaL version: 2.1.3
% 0.23/0.32 % (716786)Termination reason: Refutation
% 0.23/0.32 % (716786)Time elapsed: 0.002 s
% 0.23/0.32 % (716786)Peak memory usage: 12 MB
% 0.23/0.32 % (716786)Instructions burned: 2 (million)
% 0.23/0.32 % (716780)Success in time 0.025 s
% 0.23/0.32 % Vampire exiting
%------------------------------------------------------------------------------