%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUN080+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 12:27:05 PM UTC 2026
% Result : Theorem 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 60 ( 26 ~; 20 |; 14 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 65 ( 48 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
! [X1] :
( ( id(X1,X0)
& r1(X1) )
| ( ~ r1(X1)
& ~ id(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_1) ).
fof(f5,axiom,
! [X0] : id(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5) ).
fof(f12,axiom,
! [X0,X1] :
? [X2] :
( ? [X3] :
( id(X3,X2)
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) ) )
& ? [X5] :
( r2(X5,X2)
& r3(X0,X1,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_1a) ).
fof(f19,conjecture,
? [X0,X1,X2] :
( id(X2,X1)
& ? [X3] :
( r3(X0,X3,X2)
& ? [X4] :
( r2(X4,X3)
& ? [X5] :
( r1(X5)
& r2(X5,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xplustwoidy) ).
fof(f20,negated_conjecture,
~ ? [X0,X1,X2] :
( id(X2,X1)
& ? [X3] :
( r3(X0,X3,X2)
& ? [X4] :
( r2(X4,X3)
& ? [X5] :
( r1(X5)
& r2(X5,X4) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ~ id(X2,X1)
| ! [X3] :
( ~ r3(X0,X3,X2)
| ! [X4] :
( ~ r2(X4,X3)
| ! [X5] :
( ~ r1(X5)
| ~ r2(X5,X4) ) ) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f23,plain,
! [X1] :
( ~ id(X1,sK0)
| r1(X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f30,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f42,plain,
! [X0,X1] : r2(X1,sK7(X0,X1)),
inference(cnf_transformation,[],[f12]) ).
fof(f44,plain,
! [X0,X1] : r3(X0,X1,sK5(X0,X1)),
inference(cnf_transformation,[],[f12]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X5,X4)
| ~ r1(X5)
| ~ r2(X4,X3)
| ~ r3(X0,X3,X2)
| ~ id(X2,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f73,plain,
! [X0,X1] : ~ r3(X0,X1,sK5(X0,X1)),
inference(consistent_polarity_flipping,[],[f44]) ).
fof(f80,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X5,X4)
| ~ r1(X5)
| ~ r2(X4,X3)
| r3(X0,X3,X2)
| ~ id(X2,X1) ),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f82,plain,
r1(sK0),
inference(resolution,[],[f23,f30]) ).
fof(f84,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2(sK7(X1,X0),X2)
| ~ r1(X0)
| r3(X3,X2,X4)
| ~ id(X4,X5) ),
inference(resolution,[],[f42,f80]) ).
fof(f86,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ id(X4,X5)
| r3(X1,sK7(X2,sK7(X3,X0)),X4)
| ~ r1(X0) ),
inference(resolution,[],[f84,f42]) ).
fof(f92,plain,
! [X2,X3,X0,X1,X4] :
( r3(X0,sK7(X1,sK7(X2,X3)),X4)
| ~ r1(X3) ),
inference(resolution,[],[f86,f30]) ).
fof(f96,plain,
! [X0] : ~ r1(X0),
inference(resolution,[],[f92,f73]) ).
fof(f100,plain,
$false,
inference(backward_subsumption_resolution,[],[f82,f96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN080+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n013.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 21:58:06 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.43 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
% 0.16/0.46 % (595090)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (595096)% WARNING: option uhcvi not known.
% 0.16/0.46 % (595096)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3467827529:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.46 % (595096) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-595090-595096"...
% 0.16/0.46 % (595096)...printing done.
% 0.16/0.46 % (595096)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Theorem for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (595096)------------------------------
% 0.16/0.46 % (595096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (595096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (595096)CaDiCaL version: 2.1.3
% 0.16/0.46 % (595096)Termination reason: Refutation
% 0.16/0.46 % (595096)Time elapsed: 0.002 s
% 0.16/0.46 % (595096)Peak memory usage: 12 MB
% 0.16/0.46 % (595096)Instructions burned: 2 (million)
% 0.16/0.46 % (595090)Success in time 0.029 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------