%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUN070+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 : n020.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 12:27:02 PM UTC 2026
% Result : Theorem 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 81 ( 36 ~; 27 |; 18 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 0 con; 1-2 aty)
% Number of variables : 62 ( 44 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
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(f15,axiom,
! [X0] :
? [X1] :
( id(X1,X0)
& ? [X2] :
( r1(X2)
& r3(X0,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).
fof(f19,conjecture,
? [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r3(X1,X2,X0) )
& ? [X3] :
( r1(X3)
& r2(X3,X1) ) )
& ? [X4] :
( id(X0,X4)
& ? [X5] :
( r1(X5)
& r2(X5,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',onepluszeroidone) ).
fof(f20,negated_conjecture,
~ ? [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r3(X1,X2,X0) )
& ? [X3] :
( r1(X3)
& r2(X3,X1) ) )
& ? [X4] :
( id(X0,X4)
& ? [X5] :
( r1(X5)
& r2(X5,X4) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X2)
| ~ r3(X1,X2,X0) )
| ! [X3] :
( ~ r1(X3)
| ~ r2(X3,X1) ) )
| ! [X4] :
( ~ id(X0,X4)
| ! [X5] :
( ~ r1(X5)
| ~ r2(X5,X4) ) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f42,plain,
! [X0,X1] : r2(X1,sK7(X0,X1)),
inference(cnf_transformation,[],[f12]) ).
fof(f52,plain,
! [X0] : r3(X0,sK13(X0),sK12(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f53,plain,
! [X0] : r1(sK13(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f54,plain,
! [X0] : id(sK12(X0),X0),
inference(cnf_transformation,[],[f15]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r3(X1,X2,X0)
| ~ r1(X5)
| ~ id(X0,X4)
| ~ r2(X3,X1)
| ~ r1(X3)
| ~ r2(X5,X4)
| ~ r1(X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f96,plain,
! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ id(sK12(X1),X2)
| ~ r2(X3,X1)
| ~ r1(X3)
| ~ r2(X0,X2)
| ~ r1(sK13(X1)) ),
inference(resolution,[],[f52,f64]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r1(X3)
| ~ r2(X3,X1)
| ~ id(sK12(X1),X2)
| ~ r2(X0,X2) ),
inference(forward_subsumption_resolution,[],[f96,f53]) ).
fof(f99,plain,
! [X2,X3,X0,X1] :
( ~ r1(X1)
| ~ r2(X1,X2)
| ~ id(sK12(X2),X3)
| ~ r2(sK13(X0),X3) ),
inference(resolution,[],[f97,f53]) ).
fof(f107,plain,
! [X2,X3,X0,X1] :
( ~ r2(sK13(X0),X1)
| ~ r2(sK13(X3),X2)
| ~ id(sK12(X1),X2) ),
inference(resolution,[],[f99,f53]) ).
fof(f112,plain,
! [X2,X3,X0,X1] :
( ~ r2(sK13(X2),X3)
| ~ id(sK12(sK7(X1,sK13(X0))),X3) ),
inference(resolution,[],[f107,f42]) ).
fof(f119,plain,
! [X2,X3,X0,X1] : ~ id(sK12(sK7(X0,sK13(X1))),sK7(X2,sK13(X3))),
inference(resolution,[],[f112,f42]) ).
fof(f137,plain,
$false,
inference(resolution,[],[f119,f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN070+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n020.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 21:53:48 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.20/0.46 % (3797031)Will run a generic schedule for satisfiability detection.
% 0.20/0.46 % (3797040)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3431874471:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.46 % (3797037)% WARNING: option uhcvi not known.
% 0.20/0.46 % (3797040) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3797031-3797040"...
% 0.20/0.46 % (3797040)...printing done.
% 0.20/0.46 % (3797040)Refutation found. Thanks to Tanya!
% 0.20/0.46 % SZS status Theorem for theBenchmark
% 0.20/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46 % (3797040)------------------------------
% 0.20/0.46 % (3797040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.46 % (3797040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.46 % (3797040)CaDiCaL version: 2.1.3
% 0.20/0.46 % (3797040)Termination reason: Refutation
% 0.20/0.46 % (3797040)Time elapsed: 0.003 s
% 0.20/0.46 % (3797040)Peak memory usage: 12 MB
% 0.20/0.46 % (3797040)Instructions burned: 8 (million)
% 0.20/0.46 % (3797031)Success in time 0.028 s
% 0.20/0.46 % Vampire exiting
%------------------------------------------------------------------------------