%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR031+1 : TPTP v9.3.1. Released v3.4.0.
% 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 09:44:26 AM UTC 2026
% Result : Theorem 0.11s 0.24s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 12 ~; 4 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
~ ( collection(X0)
& individual(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).
fof(f6,axiom,
individual(c_tptptptpcol_16_8398),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).
fof(f34,axiom,
! [X0,X1] :
( disjointwith(X0,X1)
=> collection(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
fof(f56,conjecture,
~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query31) ).
fof(f57,negated_conjecture,
~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f58,plain,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(flattening,[],[f57]) ).
fof(f69,plain,
! [X0] :
( ~ collection(X0)
| ~ individual(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f95,plain,
! [X0,X1] :
( collection(X0)
| ~ disjointwith(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f114,plain,
! [X0] :
( ~ individual(X0)
| ~ collection(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f116,plain,
individual(c_tptptptpcol_16_8398),
inference(cnf_transformation,[],[f6]) ).
fof(f139,plain,
! [X0,X1] :
( collection(X0)
| ~ disjointwith(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f156,plain,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(cnf_transformation,[],[f58]) ).
fof(f157,plain,
~ collection(c_tptptptpcol_16_8398),
inference(resolution,[],[f114,f116]) ).
fof(f163,plain,
! [X0] : ~ disjointwith(c_tptptptpcol_16_8398,X0),
inference(resolution,[],[f139,f157]) ).
fof(f165,plain,
$false,
inference(resolution,[],[f163,f156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR031+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.17 % Computer : n013.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Mon Sep 28 22:11:07 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.20 Running first-order model finding
% 0.11/0.20 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
% 0.11/0.24 % (1640999)Will run a generic schedule for satisfiability detection.
% 0.11/0.24 % (1641016)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2421281759:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.24 % (1641016) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1640999-1641016"...
% 0.11/0.24 % (1641016)...printing done.
% 0.11/0.24 % (1641016)Refutation found. Thanks to Tanya!
% 0.11/0.24 % SZS status Theorem for theBenchmark
% 0.11/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.24 % (1641016)------------------------------
% 0.11/0.24 % (1641016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.24 % (1641016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.24 % (1641016)CaDiCaL version: 2.1.3
% 0.11/0.24 % (1641016)Termination reason: Refutation
% 0.11/0.24 % (1641016)Time elapsed: 0.001 s
% 0.11/0.24 % (1641016)Peak memory usage: 12 MB
% 0.11/0.24 % (1641016)Instructions burned: 2 (million)
% 0.11/0.24 % (1640999)Success in time 0.03 s
% 0.11/0.24 % Vampire exiting
%------------------------------------------------------------------------------